diff --git "a/data/dm_maths/full_data/10732_11255.jsonl" "b/data/dm_maths/full_data/10732_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10732_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Three letters picked without replacement from {w: 2, l: 10}. Give prob of picking 3 l.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v**2 - 367*v**2 + 349*v**2 - 14*v**3 - 1 to a + m*v**3 + w*v**2 + q*v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2019)\/(-29612))\/((-12)\/32).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 5028345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/27 + 16*o**5\/45 + 2*o**4\/9 - 44*o**3\/27 - 5*o**2\/9 + 28*o\/9 - 111. Find a such that s(a) = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6*(1 - 1). Let h = 0.06112 + -0.06112. Which is the nearest to h? (a) 2 (b) -2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 428 + -424.93. Let u = -0.07 + r. Let m = 26929 - 26932. Sort -5, -2\/33, u, m in decreasing order.\nAnswer: u, -2\/33, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdoj when four letters picked without replacement from gdgoogjgggpjgpojgoo.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/9*15\/25*3. Suppose 0 = n + p - 17, -h*n + p = -2*n - 19. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203080 a multiple of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/60 - b**4\/8 - b**3\/3 - 2*b**2. Let a be 1\/(-2)*(-8 + 0). Let i be x(a). Solve 5 = i*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.225087.\nAnswer: -0.0675261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 16 = -82*p + 84*p, -5*z - 8 = -p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 0.06. Let q = -0.4 + w. Let c be -2*(1\/(-7) + 0). What is the third smallest value in c, 1\/4, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:23 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 3*i - 1. Let o be f(-6). Let a = 80 + o. Let x = -4 + 13. Calculate the remainder when a is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499569126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - 9)*-2 + (-6362)\/(-1590). Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 3. Let n(m) = 5*m - 15. Let k(x) = 8*x - 10. Let w(o) = 3*k(o) - 2*n(o). Calculate l(w(g)).\nAnswer: -588*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44 + 663*o**4 + 23 - 55*o**4 + 5*o**3 + 21 + 2648*o**2 wrt o.\nAnswer: 14592*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044404 (base 6) in base 12?\nAnswer: 26704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2042*v**2 + 33 - 59*v - 117*v + 142*v wrt v.\nAnswer: -4084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*t - 146, -3*o - 189 = -2*t - 15. Let l be (-174)\/58*-2*2\/(-6). What is the units digit of 1 + l - t\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6)*(-6 - -3). Is (-6 - -8)*(-42)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/47271 and 55\/117.\nAnswer: 1843569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*a = 970 - 4374 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 2*i**2 - 23*i - 344. What is y(0)?\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 7, 5, 3?\n\"Answer: -2*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4781340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13832716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 23*d**2 + 25*d - 168. Give n(5).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719849 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-4 + sqrt(720) + -5 - sqrt(720)) + 2 + -2 + 3*(1 + sqrt(720))))**2*6.\nAnswer: -64800*sqrt(5) + 977400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103)\/(-19158)*124 - (-98)\/(-156).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, j: 1}. What is prob of picking 1 j and 2 h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4583289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 858190029 a multiple of 881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -38755063?\nAnswer: -38755063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c + 3. Let w(t) = t**3 + 7*t**2 - 3*t - 29. Let s be w(-7). Let n be i(s). Solve -2*r - 3*p + 14 = -7*p, -6 = n*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 52158*j**3 - 52188*j**3 - 52180*j**3 - 51829*j**3 + 209107*j**3.\nAnswer: 752*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 2*o + 6 = 70*l, -2*l - 12 = -4*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4804*n = -2101*n + 7685*n + 402893 - 60089 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/3)\/(88\/132). Let h(x) = -7*x**2 + 5*x. Let t(a) = -20*a**2 + 14*a. Determine k*t(j) + 14*h(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-15))\/((x**(-17)*x)\/x) assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44229 divided by -14743?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 2*a + 13. Let r = 29 + 1. Let b = r + -30. Is 7 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcv when three letters picked without replacement from {k: 1, n: 2, o: 1, v: 1, b: 1, c: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-3))\/(9\/(-21)). Let u(d) = -d**2 + 2*d + 10. Let m be u(4). Solve 2*v = -3*h - 7, -m*h - 4*v - 9 = -a*v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/729 - 10\/(-9)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(3840) - sqrt(3840)*-1))\/(-4*sqrt(192)*2))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*y - 2*y**3 + 2*y**2 + y**4 + 200*y + 17 - 19 to b*y + z + m*y**4 + n*y**2 + i*y**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**11)**(4\/9) assuming i is positive.\nAnswer: i**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 p, and 1 b when four letters picked without replacement from rprbrpprpr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from iidivvdvdiddididd?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3033, 45, -8081, -23913, -50019, -88967, -143325, -215661?\n\"Answer: -428*n**3 - n**2 + 11*n + 3451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.8 + 5.16. Let b = p + -0.36. What is the closest to -2 in b, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27975594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 0*s**3 - 13221 + 13633 to h*s**2 + r*s**3 + m + d*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1366542217 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(102) - (sqrt(102) - sqrt(102)*1*-4))\/(5*(sqrt(600)*3 + sqrt(600))))**2.\nAnswer: 17\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 - o. Let a(i) = -i**3 - i**2 - i - 1. Calculate 2*a(j) + q(j).\nAnswer: 2*j**3 - 2*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2010 and 2220.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13484688 and 2128.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*o - 414, -8*o = -4*y - 4*o + 420. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76c + 8?\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5790 is divided by 361.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a + 3. Let v(d) be the second derivative of d**3 + 3*d**2\/2 - 7*d. Determine -4*c(z) + 3*v(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-3 + 2 + 1). Suppose r = -5*c + 58 + 12. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d - 4 + 2 - d - 2*d. Let g be c(1). Solve 1 = -t + g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/216 and 53\/1494?\nAnswer: 17928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/4*(-30)\/(-4). Suppose -34 = -3*g + 4*i, -i + 39 = 4*g - 0*g. Solve 0 = -5*p + 4*u - 30, 5*u = r + g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**3\/3 + 121*a + 2. Let y(v) = v - 9. Determine y(z(g)).\nAnswer: -2*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (746*m - 746*m + 1123*m**2)*(2*m + 26*m - 6*m) as z + r*m**3 + w*m**2 + p*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -146, -148?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q + 12. Let b(t) = -1. Let g(j) = 16*b(j) + n(j). Calculate g(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-2)\/3 - 14\/42). Solve d - 5 = -g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 + 161*i**2 + 59*i - 263. Give q(54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 - 22 = 0. Let m = 470 + -466. Let t(f) = -m*f**2 - f**2 + 2*f**2 + 11*f + 2*f**2 - 7. Determine t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = 6. Suppose 0 = -l - x*s - 4, -s - 4*s - 9 = 3*l. Suppose 0 = l*y - 6*y + 204. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - o - 2. Let b(k) = -2 - 4*k - 2*k**2 + 4*k + k**2. Let z(a) = -4*b(a) + 5*i(a). What is z(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 + 5*c - 4. Let x be o(-3). Let n be ((-22)\/(-231))\/((-3)\/(-7)). What is the second smallest value in 5, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 2, o: 2}. Give prob of sequence zo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 2\/2741, 1\/4, 13.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/20 - 2027*r**4\/12 + 257*r**3\/6 + r**2\/2 - 2*r - 522. What is the second derivative of f(g) wrt g?\nAnswer: -6*g - 4054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 381*c - 928*c + 1374*c + 615*c + 1249*c in the form h + d*c and give d.\nAnswer: 2691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)\/s*s)**(-1\/4)\/(s**(2\/65)\/(s**(-5\/12)*s)) assuming s is positive.\nAnswer: s**(644\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*g = -271*g - 936 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 1\/2*t**3 - 1\/12*t**4 - 3*t + 2*t**2 + 0. Let l be (-6)\/(2*3\/(-3)). Give u(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10870 - -3?\nAnswer: 10873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1884*f**2 - 85*f + 150*f + 150*f + 31*f + 7 + 33*f**2 wrt f?\nAnswer: 3834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 - 4*w + 4*w + 3*w - w**2 + w. Let q be k(4). Suppose -5*a + 310 = -n, -5*a + 3*n + 174 = -q*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, e: 7}. Give prob of sequence wf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 52, 5\/3, 6, -37, 4 in descending order.\nAnswer: 52, 6, 4, 5\/3, 2\/25, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -901, 144, 1185, 2222, 3255?\n\"Answer: -2*o**2 + 1051*o - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23213*c + 3938 = 23571*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5096\/(-832) + (-2 - (-4*2 - 0))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -744 - -743. Which is bigger: 154\/13 or t?\nAnswer: 154\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 148173, 148077, 147917, 147693, 147405, 147053, 146637?\n\"Answer: -32*t**2 + 148205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 + 0 + 20 + -4 + -3 + 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/32 + 15\/32. What is the closest to 0.1 in 0.5, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539, -549, -549, -533, -495, -429?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 4 + -1 - 0. Let b(m) = 14*m. What is the units digit of b(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2501 - 2109. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3011\/234 - 115\/26. Calculate the common denominator of 2\/13 - (-686)\/(-234) and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 + ((-6)\/(-18) - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-6)\/(-210)). Which is greater: 15 or t?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 351.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3621125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 + (-100 - -64) + -48?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 20\/(-5))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3*(2 - -10). Suppose 0 = -0*z + v*z - 4. Is z + 18\/(1 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508*n + 391157 = 521*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5*k + 4. Suppose 6*n + 22 = -14. Give j(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231.18 times -0.5933\nAnswer: -137.159094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 11*c)*(c + 0 + 0 + (-1 - 4 + 4)*(2*c + 3 - 3) + 2*c + 20*c + 10*c).\nAnswer: -341*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 15*k**2 + 47*k + 11. Let w(r) = 82*r - 2536. Let l be w(31). Let v(p) = 8*p**2 + 23*p + 6. Determine l*z(q) - 11*v(q).\nAnswer: 2*q**2 + 29*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 125*u - 51. Calculate the smallest common multiple of a(-62) and 4338.\nAnswer: 47718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.05 - -5.2. Let c = -2 - -15. Let o = c - t. Round o to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250089, -249854, -249619, -249384?\nAnswer: -249149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4059\/(-22) - -3)*(-2)\/3. Calculate the highest common factor of 55 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15419.694 plus -2.1?\nAnswer: -15421.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.184 + 0.084. Which is the closest to l? (a) -4 (b) -22 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/155, -2, -66, 0.4, -1\/5, 1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 24*g**2. Let i(u) be the second derivative of 0 - 71*u + 0*u**2 + 1\/3*u**4 + 0*u**3. What is i(n(d))?\nAnswer: 2304*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 + 1615670*u**2 + 16156850*u + 40392250 = 0. What is u?\nAnswer: -5, 807845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrzrrzz. What is prob of sequence zr?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6593030?\nAnswer: 2, 5, 37, 103, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z - 104*z**3 - 10*z + 21*z - z**3.\nAnswer: -105*z**3 + 27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 14*b**2\/3 - 44*b\/3 + 10 = 0.\nAnswer: 1, 15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 15*x**2 + 2*x + 8. Let f be j(-12). What is the highest common divisor of 52 and f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*i**2*p**3 - 96*i**2*p + 12750762*i**2 wrt p.\nAnswer: 45*i**2*p**2 - 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -82, -165, -270, -391, -522?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(7\/6)*v)\/v**(-31)*(v**(2\/69)\/v*v)\/(v\/(v**(3\/4)\/v)) assuming v is positive.\nAnswer: v**(2939\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*k - 679 + 5571, 0 = -5*k + 3*i + 6098. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -37. Let r = y + -88. Calculate the highest common factor of 55 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 108254*u - 108254*u - 9020*u**2 + (u + 0*u + u)*(-3*u - 3*u + 4*u) + 2*u**2 + 2*u**2 - 3*u**2 as g*u + y*u**2 + h and give y.\nAnswer: -9023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/9)*k*k**(-1\/2)*(k**0)**(-2\/47)*k**(3\/8)*(k**(-2\/7)*k)\/k*k\/k**(-4)*k\/(k\/k**(-4)) assuming k is positive.\nAnswer: k**(689\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.209 + -0.209. Let p = -3\/206 + -385\/1854. What is the nearest to 0 in z, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -5. Let y = 571567 - 571565. Which is the smallest value? (a) -0.5 (b) y (c) k (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44525 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15903 is divided by 55.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6*z - 9)*(20*z + 368 - 368) + 3 - 3 - 2*z**2 + 0 - 3*z**2 + z**2 - z - 1.\nAnswer: -124*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10. Let p be (-471)\/20 + (-2)\/8. Let a = 24 + p. What is the closest to u in a, -2\/3, -5\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*p - 40 = 0. What is the smallest common multiple of 19 and p?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79*(0 + 4\/4) is divided by (-1 + -5)*(-20)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) - (-5915)\/728\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, -1671, -3463, -5255?\nAnswer: -7047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*z)*(56*z**2 - 90*z**2 + 58*z**2) in the form t + i*z**3 + q*z + d*z**2 and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*x = 5*x + 70, 5*m - x = 74. Suppose 4*l - 2*a = 1246, 5*l - 17*a + m*a - 1559 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459826048 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9742296+0.3008\nAnswer: -9742295.6992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 38042?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 39. Let m(v) be the second derivative of 0*v**2 + v - 1\/30*v**6 + 0*v**4 + 1\/20*v**5 + q + 0*v**3. Factor m(b).\nAnswer: -b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*n**2\/3 + 5064788*n\/9.\nAnswer: 4*n*(12*n + 1266197)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(243) + -5 + 2)**2 + -1 + (-6*sqrt(243) + -2)**2*1).\nAnswer: -18006 - 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(72) - sqrt(72) - sqrt(8)))\/(sqrt(400) + sqrt(400) + (sqrt(400) - -6*sqrt(400)*-3 - sqrt(400) - sqrt(400))).\nAnswer: -3*sqrt(2)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)*(x**(-6)\/x)\/x*(x*x*x**(1\/4))**(-1\/4)*x**(-3)\/x*x*(x*x**(3\/7)*x)\/x*((x*x\/(x\/(x\/((x\/(x*x**(-2\/7)))\/x))))\/x*x*x)**(-1\/7) assuming x is positive.\nAnswer: x**(-14633\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -1446, -3247, -5768?\nAnswer: -9009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 739*n**2 + 75534*n + 3321. Calculate t(-830).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3266407*u**2 + 13733335*u**2 + 4272506*u**2 + 51324918*u**2.\nAnswer: 66064352*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5 + 2*z**3 - z = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -163\/4, -0.4, -1.68, 0.4, 0.3, -0.3, 3?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 0) + 2 + 22. Calculate the common denominator of 65\/3 and (-1870)\/(-156) - 4\/p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 11:54 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 30. Let k(y) = -721*y**c + 709*y**2 + 2 - 2. Let g(o) = -2 + 2*o + 2 + 0*o. Calculate g(k(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:44 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + u - u)*(-1343*u + 1346*u + 653*u)*(-2 + 2 + u + (-u - 6*u + 5*u)*(5 - 3 - 4) + 0*u + u + u).\nAnswer: -4592*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:25 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, 3, -3, -15, -14 in increasing order.\nAnswer: -15, -14, -3, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 11. Suppose 2*h + 6 = -h. Let i = -1.059 + 1.059. Which is the third biggest value? (a) i (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1740\/25)\/6)\/((-140)\/350)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 5\/2*i**2 - 13\/6*i**3 + 13\/12*i**4 + 0 + 1\/20*i**5 - 46*i. Is 67 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/57, -5, -7, 4\/7, -2\/9.\nAnswer: -7, -5, -2\/9, -2\/57, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 - 1 = -f, -4*f = -3*c - 6. Suppose i + h - 5 = 0, 0 = 5*i - f*h + 2*h - 22. Factor -8*p**3 - 4*p**i + 4*p**2 + 4*p**4 + 0*p**2 + 4*p**4.\nAnswer: 4*p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12515238 divided by -83?\nAnswer: -150786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1211708, -1211706, -1211704, -1211702, -1211700, -1211698?\nAnswer: -1211696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16c3c (base 14) to base 8.\nAnswer: 157706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.5 (c) -0.4 (d) -2\/33 (e) 6 (f) 5 (g) -10.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13297 is divided by 740?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056918 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.634 - 1.634. Suppose 7*b - 4*b = -2*p + 60, -30 = -2*b + 2*p. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10368*t**3 + 59*t + 1657. Let y(z) = -15551*z**3 + 94*z + 2485. Let u(i) = -8*v(i) + 5*y(i). What is the second derivative of u(c) wrt c?\nAnswer: 31134*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 9)*(-3342 + 3371 - 5*q**2 + 2*q**2) + 0*q**2 - 3*q**2 + 2*q**2.\nAnswer: 23*q**2 - 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w + 3. Let j be i(-5). Suppose 5*l = -j*k + 20, 4*l - 12 = l + 5*k. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 - (-62 + 88 - (2 + 19) - 30)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-1593)\/540 - -32?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -4.072824.\nAnswer: 24.436944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12382665 and 431716?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + c + (-4*c - c + 3*c)*(-1 - 4 + 0).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005896 rounded to five dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19159, -38117, -57075?\nAnswer: -76033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-255)\/175 + -41)*-107.\nAnswer: 107\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 3*d**3 + 4*d**3 - 3*d**3 + 3*d**3 + 5*d**2. Determine a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 5*q - 2*q - 1)*((-13 - 20 + 11)*(-1 + 2 + 1) - 2 - 1 + 1)*(-3*q - 2*q + q**2 + 0*q).\nAnswer: -92*q**3 + 506*q**2 - 230*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706241564 rounded to the nearest one hundred thousand?\nAnswer: 706200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -854482, -1709241, -2564000, -3418759, -4273518?\nAnswer: -5128277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h**5 + 0*h**2 + 0*h + 40\/3*h**6 + 0*h**4 + 68*h**3 + 26. Find the third derivative of y(m) wrt m.\nAnswer: 4800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2*x**3\/3 - 1488*x**2 + 3891. Factor y(n).\nAnswer: 2*n*(n - 1488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p - p + 16 + 7*p. Let v be y(10). Suppose v*x + 3*c = x + 13, -5*c - 35 = -3*x. Solve -2*t = -x*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 + 17*t**4\/24 - 11*t**3\/6 + 9*t**2. What is the units digit of m(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooopopoooopprepooro. What is prob of picking 2 e and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10341?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 3*u - 7, 6*u - 15 + 17 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -12*c**5 - 210*c**4 + 2301*c**3\/4 - 975*c**2\/2 + 597*c\/4 - 15 = 0.\nAnswer: -20, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8690159 - 67808.\nAnswer: -67807.1309841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680 and 5523?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(690\/100)*(-18)\/(-24)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -19813606, -1.\nAnswer: -19813606, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l = 276*l - 20332 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52898, 52920, 52958, 53012, 53082, 53168?\n\"Answer: 8*s**2 - 2*s + 52892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 11. Let o be w(2). What is the smallest common multiple of 12 and o\/3 + (14 - -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2750959566 divided by -3\nAnswer: 916986522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g. Let w be a(1). Is 66*((-3)\/3 + w) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/9 + 66566*w**3\/9 - 288340*w**2\/3 = 0.\nAnswer: 0, 13, 33270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000039354977 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101\/505)\/(4\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*616801\nAnswer: 1233602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**7\/490 - v**6\/280 + v**2 + 16. Factor l(r).\nAnswer: 3*r**3*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*l - 52, 3*p - 112 = 6*l - 5*l. Solve 5*n + 4*n - p = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1444150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 3*a + 6*a = -179, 3*a = h - 170 + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1226*g + 96 = -1238*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*m - 185, 2*d + 95 = d + m. Let q be 406\/(-10) - 2\/5. Let x = q - d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1958236 and 1372.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/8*31720\/(-19825).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let n(r) = -13*r + 1. Let i(o) = -48*o + 3. Let q = -819 - -837. Let g(v) = q*n(v) - 5*i(v). Determine g(p(x)).\nAnswer: -12*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, 286, 650, 1170, 1852, 2702?\n\"Answer: o**3 + 69*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001830771 to six dps.\nAnswer: -0.001831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -7*w + 4*w + 67454, 0 = -4*b - 20. Suppose 0 = -18*i - 1 + w. What are the prime factors of i?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1174864*0.2\nAnswer: -234972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 15, -3*i + 1 + 11 = 3*b. Suppose -3*y = -i*y + 16. Let d(t) = -t**2 + 3*t + 4. Let h be d(y). Solve h*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:49 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/15))**(3\/13)\/(d**8*d**(-12)) assuming d is positive.\nAnswer: d**(258\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -3*l + 18*k - 13*k, 6*k + 225 = 5*l. Suppose 39 = 2*d - 7. What is the remainder when l is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/2 (c) -2 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, -90, -135, -182, -231, -282, -335?\n\"Answer: -s**2 - 40*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-168)*49\/(-21)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182207381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2. Let m(n) = 2*n**2. Let o(y) = y**2 - 2*y - 9. Let f be o(-3). What is f*d(g) + 5*m(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = 4*w, 2*a - w - 20 = 3*w. Solve a*i = 5*p - 21, 10 = 5*p - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -9 - 342. Suppose 5*j - 151 + 61 = 0. Calculate the greatest common factor of j and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (576\/15)\/4 - 4\/(-10). Suppose -x*k = 2 - 22. Solve -3*z = -4*z - k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/6*(-3)\/(-18). Let y = 1150\/9 + -128. Sort 2\/5, w, y in descending order.\nAnswer: 2\/5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 30 = -3*t, -2*t + 10 = 0. Suppose -20 = -5*w + 2*q, 5*q + h = -4*w - 12. Suppose 6938 = w*y - 188. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2. Let x(a) = -18*a**2 + 26*a - 26. Let h(k) = 2*k**2 - 3*k + 3. Let s(f) = -52*h(f) - 6*x(f). What is s(v(u))?\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 2 + 15)*(3*w**2 - 3 + 4*w - 4*w).\nAnswer: -51*w**2 + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6) + sqrt(96))*5)\/(sqrt(100)\/sqrt(5) + sqrt(5) + sqrt(30)\/(sqrt(24)\/sqrt(4))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15413 + -2809?\nAnswer: -2808.84587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -515400 + 257701 + 257702 - 3869*q to k*q + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = i + 3*l, 4*i + 41 - 617 = 4*l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*m**2 - 120*m**2 - 6290743*m**3 - 6290744*m**3 + 12581480*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*r = -34, d + 17*r - 12*r + 39 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4153241 divided by 43.\nAnswer: 96587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h. Let k(v) be the third derivative of v**4\/8 + v**2. Let q be -1 + -6 - 0\/(-8). Calculate q*k(s) + 2*j(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {s: 7, x: 5, d: 5, c: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = 6*c. Is ((-854)\/c)\/((-2)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/20 - 378\/(-35)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12434358 divided by 15.\nAnswer: 4144786\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Let s be -1*k\/((-10)\/4). Let l(n) = 14*n - 13*n**2 - 6*n**3 - 3*n**s - n**2. Let z(b) = -2*b**3 - 6*b**2 + 5*b. Calculate 4*l(o) - 11*z(o).\nAnswer: -2*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdkwyykkkxyr. Give prob of sequence kdkw.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let b(z) be the third derivative of 11*z**4\/24 + 4*z**2. Determine a(b(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from xbxuxbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9*l**3 - 21*l**3 + 1 in the form b + m*l**3 + k*l**2 + q*l and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -7*i**6\/1440 - 3*i**5\/160 - i**4\/48 + 11*i**3\/3 - 14. Let o(u) be the third derivative of f(u). Factor o(n).\nAnswer: -(n + 1)*(7*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102103012 + -1210?\nAnswer: -102104222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -3*sqrt(5)).\nAnswer: -3*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6946 - 6852. What is the greatest common factor of 235 and x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75485*r**2*t**2 - 4*r*t**2 + r*t + 15*r - 24*t wrt r.\nAnswer: 150970*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, -5, 2277 in decreasing order.\nAnswer: 2277, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12\/330*8\/64*-10\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*d + 253*d - 5782 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1)\/((-35)\/(-140)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p**(-1)*p)*p*p*p)*p)**37*p**(-6)*p*p**(-2\/3))\/((p**0\/(p*p**(-4)\/p*p*p))\/((p*p**(-3)*p)\/p*p\/(p*(p*p**(-4\/7))\/p*p))) assuming p is positive.\nAnswer: p**(-989\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110174 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 49\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.57 + 17.67. What is the nearest to c in 2\/7, 0.1, -2\/7, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + o - 22 = 2*o, -5*o + 106 = 3*f. Let l = -125 - -127. Suppose -l*u = 9*u - 66. Calculate the remainder when f is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 + -166. Let w be (6\/5)\/(y\/15) - 3. What is the highest common divisor of 87 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 3, -1.6, -6\/13, -4, 94?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142504 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - 99*w + 924. What is j(-34)?\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 942349?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + u. Let x(b) = -7*b**2 - 6*b. Let w(s) = -6*j(s) - x(s). Let a(h) = -h**2 - h**2 + 3*h**2. Determine a(w(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*n**4 + 0 + 4\/5*n + 16\/15*n**3 - 38\/15*n**2 = 0. Calculate n.\nAnswer: -3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -686, -1453, -3540, -7607, -14314, -24321, -38288, -56875?\n\"Answer: -110*o**3 + 3*o - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 2. Let t(z) be the second derivative of -z**7\/630 + 71*z**4\/12 + 68*z. Let o(p) be the third derivative of t(p). Give c(o(w)).\nAnswer: -16*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 12 = -t. Let x be (-22)\/(-11)*(-6)\/t - 1. Let h be (-4)\/(x\/6*-3). Solve -h*s + l + 23 - 2 = 0, -23 = -5*s - 2*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (-104)\/(-12). Let s = h - -29\/3. Which is the smallest value? (a) s (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61621 is divided by 807.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 22.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 - 5*p**2 + p - 2. Let t(s) = 2*s**3 + 5*s**2 + 1. Let k(q) = -5*t(q) - 4*z(q). Let j be k(5). Suppose a + 19 = j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(-5)*i*i**3)**(-17) assuming i is positive.\nAnswer: i**(-204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 126, 153, 182, 213, 246?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by (-8)\/(-6)*(10 + 35)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i**3 + 1876*i**2 - 1128*i + 818. What is g(187)?\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 352? (a) -0.1 (b) 13\/83 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l + 2*i, -2*l + 0 + 12 = -2*i. Let h be (-1)\/((-2)\/6) + 0. Let z(x) = 2*x**2 + 3 + 5*x + x**h + l*x**2 - 1. Calculate z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 134 = 5*n, -5*n - 10 = 0. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -144, -298, -504, -762, -1072?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 12*d - 20. Determine g(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = l + 1342, -4*l + 10 = 18. Calculate the highest common divisor of 670 and z.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*204\/(-85)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -29*h + 3. Let b(t) = -19*t + 2. Give -7*b(i) + 5*p(i).\nAnswer: -12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 474882 - -66?\nAnswer: 474948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttjjjtjttttjjj.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1986.373 rounded to the nearest ten?\nAnswer: -1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let i(l) = -l**2 - 13*l + 193. Let f be i(-22). Determine t(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -38 (b) -1\/5 (c) -6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 732 - 351. Let u(t) = 278*t - 262*t + y*t + 285*t. Let n(o) = -22*o. Let r(z) = -187*n(z) - 6*u(z). Let x(h) = -2*h. What is r(x(b))?\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4474, -4477, -4482, -4489, -4498, -4509?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -u - 755, -u = -4*u + 15. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyimmjye. Give prob of sequence qq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*-2*(5 + sqrt(5)*-1))**2.\nAnswer: -5000*sqrt(5) + 15000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107*f - 1117*f = -920. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39973152.\nAnswer: 2, 3, 416387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l**4 - 7*l**3 + 22*l. Let q(z) = -7*z**4 + 3*z**3 - 11*z. Let v(n) = 7*q(n) + 3*s(n). What is the second derivative of v(d) wrt d?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329725 to the power of 1\/2, to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*g - 6670, -3*g + 66*t + 4004 = 68*t. Calculate the greatest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43623 - 43*y - 32*y + 43623.\nAnswer: -75*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 6*p + 2. Let x be n(-4). Suppose -4*h + 5*g + 140 = 0, -h + 42 = -g - 2*g. What is the highest common factor of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - 3*f - 50 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/3))\/k*k)**(-19)*k**(-9)*k\/(k**(-3\/5)\/k) assuming k is positive.\nAnswer: k**(-476\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-1)\/(-2))*0. Suppose f = 2*o - o + 1. Is -1\/7 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3590 + 26915 + 24971 = 18*s. List the prime factors of s.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {t: 1, i: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1179*v + 1443 - 2892 + 1449 + (v + 2*v - v)*(6 - 4 - 1).\nAnswer: -1177*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11475, 45974, 103469, 183960, 287447, 413930, 563409?\nAnswer: 735884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 468, 529, 584?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18944.3 (b) -0.4 (c) -10 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 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 -5*-338511.\nAnswer: 1692555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/6 and 8\/741.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34553 or 34536?\nAnswer: 34536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*h**3 - 384*h**3 - 3*h - 850*h**3 - 39*h**3 - 125*h**3.\nAnswer: -939*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -16, 7, 0.5, -0.3 in ascending order.\nAnswer: -16, -0.3, 0.5, 3\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 4, a: 5, m: 8}. What is prob of picking 1 l and 1 u?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 52193 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 185*u**2 + 5*u + 1. Is i(-2) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u**2 + 5*u + 5. Calculate b(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1022439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -1\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 13 = 10*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6650592779.\nAnswer: 15263, 435733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - d, 3*d = 5*g - g - 16. Is g\/(2 - (-1539)\/(-771)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 2 - 2\/3*k**4 + 68*k + 1\/21*k**7 + 1\/5*k**6 + 0*k**2 + 0*k**5 + 0*k**3. Solve n(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -1\/10*m**5 + 0 + 2*m - 1\/2*m**3 + 1\/4*m**2 + 3\/8*m**4. Factor u(s).\nAnswer: -(s - 1)**2*(4*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170356*n - 170356*n - 2695*n**2 + (-n + 0*n + 2*n)*(-2*n - n + 2*n) to z*n + x + l*n**2 and give l.\nAnswer: -2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -1 - -1)*3. Let r be 0 + x + (7 - -8). Solve 3*n = n - 5*t - 20, -4*n = -3*t - r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16960183 divided by -23329\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -340.78 (c) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/7))\/c)\/c**3)\/(c**3\/(c*c**(2\/23)))*(c\/c**0)**(1\/5)*(c\/(c\/c**(-2\/3)))**(2\/37) assuming c is positive.\nAnswer: c**(-449884\/89355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198 + -94 - 108 - -43.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -397*r**3 - 2*r**2 - 13 wrt r.\nAnswer: -1191*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 12*y.\nAnswer: y*(y - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.006 from 108536321191.\nAnswer: 108536321190.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -22 + 38. Suppose -w + 4*w = -t*w. Solve -11 = v + 2*f, -3*v + w*f + 2*f = -7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(12\/(-9)*(-3)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:41 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 303 + -297. Suppose 0 = 3*m + 1 - 13. Let z(g) = -g**3 + 6*g**2 - 5*g - 3. Let o be z(m). What is the greatest common factor of w and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 4*i**2 - 3*i + 5. Let t = -38 + 42. Give d(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 500 + -505. Let h be 0\/l*(-7 - -6). Let i(u) = u**2 - 5*u - 8. Let t be i(6). Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 70017*w**2 + 3*w**3 + w - 70016*w**2 - w**3 as r*w**2 + b*w + v + a*w**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1947918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 12) to base 7.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1b57b (base 14) to base 15\nAnswer: 159ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.1 + 61.1. What is the closest to 2\/3 in 0, x, -1, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 3) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*-5*2)\/((4*sqrt(2352))\/sqrt(8)).\nAnswer: -20*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1406*g = 1412*g + 54948. Let f = g + 274817\/30. Let r = 3\/3104 + 235877\/27936. What is the common denominator of r and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 3246?\nAnswer: 3246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3451 + -3451.2. Which is the nearest to -2\/3? (a) 57.6 (b) g (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + -31 + (-12 - (-3 + -5))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207\/4 - -52. Factor 1\/4*i**3 - 1\/4 + 1\/4*i**2 - b*i.\nAnswer: (i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33414202 - 44233?\nAnswer: 33314414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.2, 1, -53.3, -42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-3))\/(77\/231)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 315 in 1\/203, 0.2, 0.4, 36, -3\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 929764942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/9)\/7)\/(8\/12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -163*v - 2*v + 44 - 111*v + 48*v wrt v?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/5 - 966\/(-210)) + 0. Solve 4*i - c*v + 10 = 0, 17*i - 12*i = -3*v + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t + 11 - 11.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1742 divide 5275517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 7. Let i be r(11). Let u(j) = -75*j - 5. Let f be u(i). Suppose -4*l = -65 - f. Is l a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 1, v: 1, f: 2, n: 2}. Give prob of picking 2 n and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3969 > 0.016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(-2)*h*h\/h**(-2)*h*(h**0)**0 assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 - 245*s - 4999. What is w(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 0.33. Let o = -4.3 - j. Let f = 6 + o. Sort 1, -5, f in descending order.\nAnswer: f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 12*p + 20. Let z be s(14). Let y be z\/4 - (2 + -5). Calculate the highest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s. Suppose 8*a + a - 27 = 0. Let y(j) be the second derivative of 3\/2*j**a + 6*j + 0*j**2 + 0. Give c(y(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033.\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/2)\/((-4)\/(-144)). Let d(n) = n**3 - n**2 - 2*n. Let j be d(2). Suppose 4*m - m - o = j. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - k + 4)*(-1 + 0 - 1)*(4 + 2*k - 4).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.01. Let y = 2.91 - b. Put y, 2, -4 in decreasing order.\nAnswer: y, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 2 - 13)*(0*m + 0*m + 2*m**3).\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 2. Let a(j) = -j. Suppose 0 = 4*m - 0 - 12. Suppose -m*y - 7 = -1. Let l be a(y). Determine f(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/63*-3 - 0. Let l = 4.0249 + -0.0249. Sort l, -2\/5, q in ascending order.\nAnswer: -2\/5, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 2*u + 4. Let v be d(-3). Suppose -4*q - s + 6*s = 401, -q = 3*s + 79. Let j = v - q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(-6))\/w*w\/w**(-2\/7))\/((w**(-8)*w)\/w*(w\/w**(-1\/7))\/w) assuming w is positive.\nAnswer: w**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -38. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssessss. What is prob of sequence ess?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31777809*w**2 + 2071656*w wrt w?\nAnswer: 63555618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 5*t - 13*t + 1717100 = 0. List the prime factors of t.\nAnswer: 2, 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - f = f + 2225, 0 = 2*m - 4*f - 890. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-24)\/1440*12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from 0.573537.\nAnswer: 29.573537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 11:02 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 2, -52 in descending order.\nAnswer: 140, 2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 1. Let q be d(1). Suppose 6*c + 15 = q*c. Suppose 2*p - 2*b + 1 = -7*b, -3*p + c = b. Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w - 4*b + 16, -5*b + 31 = 3*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46\/19 - -468\/209. Let y = 40303.2 + -40303. Put g, 4, 3, y in descending order.\nAnswer: 4, 3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110626218?\nAnswer: 2, 3, 83, 74047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269889 divided by 2.\nAnswer: 269889\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/8)\/s*s)**(-5\/4))**(1\/28) assuming s is positive.\nAnswer: s**(15\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 9. Let j be h(13). Suppose -j*x = -3*c - 15, -4*c = 3*x + c - 4. Solve -1 = 3*u - y, -2*u + x*u + 15 = 4*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-4)*-1 - -3 and -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(72) + 1 + 1)**2 - 3*(sqrt(72) + 1)) + 3)*2.\nAnswer: 12*sqrt(2) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x - 124 = 108 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(2\/8 - 21\/(-28)). Let b(a) = 5*a**2 - 2*a - 6. Let h be b(v). What is the highest common divisor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10575 and 475095975?\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 198, 71, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -10.01. Let f = c + 0.03. What is f rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -0.1, 60842?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 25*y**3\/2 + 235*y**2\/2 + 145*y + 40 = 0.\nAnswer: -8, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.05 - -32. Let g = m - -0.04999836. Round g to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/6 + 4*c**3\/3 + 103*c**2\/2 + 58*c + 1. Find the first derivative of i(x) wrt x.\nAnswer: -4*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*((-84708)\/(-2896))\/(6\/(-8))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z**(-26)\/z*z)))\/z)\/z**15)**(-8) assuming z is positive.\nAnswer: z**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 41347732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42337999.\nAnswer: 11, 29, 132721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.5, -0.04, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 + 22*n**2 + 55 + 83 - 26.\nAnswer: 7*n**2 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29278 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h**2)*(-2*h + 5*h - h) + 3643*h**3 - 7516*h**3 + 3144*h**3.\nAnswer: -727*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -b33a96 (base 15) in base 5?\nAnswer: -4140030031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -31*r**4\/4 + r**3\/3 + 17*r**2 - 45. Find the second derivative of i(u) wrt u.\nAnswer: -186*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/119615 and 25\/4512?\nAnswer: 11483040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 + -8.8. What is the smallest value in -3\/2, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.108133898\nAnswer: 0.216267796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.9 + 19. Which is the closest to 0.133? (a) -1 (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -10\/3*l**2 + 8\/3*l + 0 + 2\/3*l**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113020113 + 11333?\nAnswer: -113002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*z + 74, 7*z - 8*z + 75 = -2*p. What is the nearest to 0.1 in 1, p, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (483\/42)\/((-6)\/(-12))*1*(-6)\/6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -85559.\nAnswer: 85559.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(432) + -3 - sqrt(432)) + 5*(2 + sqrt(432)) - (sqrt(30)\/(sqrt(20)\/sqrt(4)))\/(1*sqrt(2)*-3))**2.\nAnswer: 2896*sqrt(3)\/3 + 32953\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -839 - -826. Let m = -5 - -7. Which is the smallest value? (a) m (b) o (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.81+36.058653\nAnswer: 37.868653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + 73208. Let v = h - -12902. Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84497958 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f + 2)*(7*f + 15*f - 15*f + 3).\nAnswer: 7*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/(2\/(-28)*2728\/(-682)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a. Let h be k(-2). Solve 0 = 2*i + 4*z + h, 5*i + 5*z + 20 = -0*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68430*f - 69384*f = 80136 for f.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {n: 2, b: 4, t: 4, r: 1, e: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162060267?\nAnswer: 5081, 228707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 + 25 = -5*h + 3*w, 4*h + w = 85. Suppose -16 = -2*y + 6*y - 4*r, -y + h = 5*r. Suppose 5*f - 3 - 2 = y. Solve -2*s - f = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(-24)\/(a\/(a*a\/(a\/(a*a**(-1\/4)))*a*a*a)*a\/a**(3\/7)*a)*((a**(2\/5))**(1\/61))**(-16) assuming a is positive.\nAnswer: a**(-50611\/8540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.07 - -18. Suppose -s - 2*s + 11 = h, 5*h = -3*s + 7. Sort q, s, 0.\nAnswer: q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -41. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/sqrt(6))\/sqrt(3) - (sqrt(19) - ((sqrt(76) - -2*sqrt(76))\/sqrt(4))**2).\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 27*j + 26. What is c(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 11 = p, 3*r - 5*p = 4 + 7. Factor 4*t - 9*t**4 - 4*t**3 + 9*t**r + 3*t**2 - 8 + 5*t**4.\nAnswer: -4*(t - 1)**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 11*f - 1. Give d(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*4*-2 - (0 + -4*sqrt(425)).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/(3\/(-1842)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.923 + -54.077. Which is the second smallest value? (a) 0.3 (b) f (c) 2\/7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768234.\nAnswer: 2, 3, 61, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124225.\nAnswer: 5, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 + 31*f**2 + 72*f + 12. Let x be z(-7). Put -3, 0, 2, x in increasing order.\nAnswer: -3, x, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -z - 7, 5*z = 3*c - 43. Suppose -3*w + c = -0. Let x(h) = 3*h**2 - 5*h + 4. Let f be x(w). Solve 8*t - 5*t = f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 4*b + 0*b - 3*b + 1 + b + 8*b**3 to x*b**3 + o*b + i*b**2 + f and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -13) + -117 + 40 + 53 + -27\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 645 and 230.\nAnswer: 29670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 16. Suppose -i = c - 30. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 + 1\/6*l**4 + 2\/7*l**2 - 2*l + 3\/7*l**3. Find w such that z(w) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - (15 - 11))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -125. Let y = 17 - k. Sort y, 9, 2 in decreasing order.\nAnswer: 9, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1317.466 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -90593*h + 90592*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/11 + (-4094)\/(-979))\/38. Which is the second smallest value? (a) -0.08 (b) 0.2 (c) j (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6*(-14)\/4 + 5. Let d(o) be the first derivative of -b*o - 4\/3*o**2 - 2\/9*o**3 - 6. Determine s so that d(s) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519452?\nAnswer: 2, 17, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(4*z**4 - 4*z**4 - 9*z**4) - z**4 - z + z.\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + -107. Suppose b*i - r + 3288 = -0*i, 2*i = -2*r - 3288. What is the units digit of 4\/10 - i\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88\/3*h - 16\/3*h**4 + 160 - 368\/3*h**2 + 2\/3*h**5 - 62*h**3 = 0. What is h?\nAnswer: -4, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 1\/7, 3, 1\/9, 2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/144 and -75\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.488 + -4260.\nAnswer: -4274.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-10))\/((-3)\/(-8)). Suppose -4*q + 3*q = w. Are -4 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 26 = -d + 4*d, -4*d - 8 = -4*k. Suppose k*u = 197 + 23. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j + 1\/4*j**4 - 8\/3*j**3 + 9\/2*j**2 - 18. Give h(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 - 151. Put 0.2, 1\/2, g in decreasing order.\nAnswer: 1\/2, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1163.0147111 to one dp.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1292*t - 263424 = -1452*t for t.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/2 - 4209*x**3 + 4212*x**2 + 4209*x - 8421\/2 = 0.\nAnswer: -2807, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161\/370 + 69\/37. Let g = j + -14\/5. Is g > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 c when four letters picked without replacement from iiiiggggcggig.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdb when three letters picked without replacement from btkdd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47605460917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4143345, -8286688, -12430031, -16573374?\nAnswer: -20716717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75.8*85.4.\nAnswer: 6473.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79229078 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41782, 91334, 140886, 190438?\n\"Answer: 49552*v - 7770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 + 19939*j**4\/7 + 721059*j**3\/7 - 8488827*j**2\/7 + 500580*j = 0. Calculate j.\nAnswer: -45, 0, 3\/7, 9, 2884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 85*v - 1371. Give a(99).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from llllldluuuxnd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8088 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.884 - -10.894. Which is the nearest to -13? (a) 1 (b) 2\/49 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Let n = m - -3.05. Let i = n + -0.35. What is the biggest value in 2\/19, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1703\/9 + 189. Let d = 0.1 - 0.5. Let v = 0.58 - -1.42. Which is the closest to 2\/9? (a) v (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 5 = -4*l - d, -3*d + 5 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*z - 12, 0 = m - z - z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 38) + -26 + 11 + 185?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/125700 and -39\/16760.\nAnswer: 251400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1048 - -3935. What are the prime factors of b?\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -28. Let t = -14 - x. Find the third derivative of -11*m**2 + 3*m**4 + m**4 + t*m**2 + 4*m**4 wrt m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 3. Let l be z(2). Let i be l + (2 - 3\/5). Are -0.1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-17 + 19 - (2 + -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -11631358?\nAnswer: -11631358.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83325982381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 427 and 7?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and -0.0142.\nAnswer: 10.9858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*g - 190 - 25 = 0, -5*g + 25 = 0. Suppose a - 5*b + 1 = 0, 0 = -a - 3*a + 5*b + v. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q + 4. Let s(t) = -609*t - 13. Give 4*i(w) + s(w).\nAnswer: -573*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 18*p**2 + 15*p - 15. Let k(y) be the third derivative of y**5\/60 + y**4\/24 - y**3\/6 + 2351*y**2. Give 3*i(o) - 45*k(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 15 = -3*w - 7, -16 = -4*r - 4*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-3)\/9*-3. Let q be 26 - a\/(0 - -2). What is the highest common divisor of q and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -946\/3885 + -6\/259. Which is the second smallest value? (a) 4 (b) 0 (c) -0.04 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11308 - -12656. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -29*x + 6. Let s = 5219 - 5225. Let g(k) = 29*k - 7. Determine s*g(v) - 7*h(v).\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -75 + ((-1715)\/280 - -81)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 16*x + 128 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 301*q + 2*q**4 - 307*q - 267 + 272 - 2*q**3 in the form k + x*q**2 + b*q**3 + c*q**4 + m*q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -722*i**2 - 16*i + 149620 wrt i?\nAnswer: -1444*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 66 = -2*z. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxj when three letters picked without replacement from xxxdxdxxxdjjxxx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (2*sqrt(35))\/sqrt(5).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/120 - c**5\/3 + 25*c**4\/24 + 29*c**3\/6 - 8729*c**2. Determine m(-21).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -949 - 859629?\nAnswer: -860578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 11\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {m: 5, e: 7, n: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -17270114.\nAnswer: -86350570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - 0) + -2 + (78 - (23 - -34))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1)*w*w**1)\/(w**8*w*w\/(w\/(w\/w**(3\/10)*w)))*(w*w\/(w\/w**2))\/w*w\/(w**(-1\/4)\/w)*w*(w\/w**(1\/3))**(-21) assuming w is positive.\nAnswer: w**(-349\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - u)*(-4 - 2 + 2).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -73165, -71765, -70365, -68965?\n\"Answer: 1400*h - 74565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024387?\nAnswer: 7, 13, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 2\/65 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5 + 48066*b**4 - 285521286*b**3 - 39413319674*b**2 - 77969883216*b - 38842132896 = 0.\nAnswer: -133, -1, 12084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/17, 1\/8, -7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-3)\/(-18) + (-78)\/(-18). Suppose 0 = 3*a + 4*l - 36, 15*a + d*l = 11*a + 49. Calculate the highest common factor of 136 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108*f**3*l - 2*f**2*l**2 + f**2 + 21*l**2 + 9 wrt f?\nAnswer: -324*f**2*l - 4*f*l**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-18 + -9 - (20 - 22)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -12, -45, -118, -243, -432, -697, -1050?\n\"Answer: -2*p**3 - 2*p**2 + 15*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -740 + -363?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4 + 6. Suppose b*o + 2*a = 10, 9*a = -o + 4*a - 3. Differentiate 1 + 7*f - o*f + f**4 with respect to f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 - -164. Suppose -7 = -2*o + 6*j - 7*j, 3*o - 28 = z*j. Solve -4*q = -10 - o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 divided by -70?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.25573 weeks to microseconds.\nAnswer: 154665504000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 - 264.4. What is c rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 473, -196 in decreasing order.\nAnswer: 473, 0, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475980718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 15) to base 14\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -24*h**3 + 3*h**2 - 3*h + 1. Let i be t(1). Let b be -3*2*(13 + i). Let o = b - 19. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 126*o**3 + 2336*o**2 - 10080*o - 12544.\nAnswer: 2*(o - 28)**2*(o - 8)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.49 (b) 2\/23 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140 + 3*r - 6452*r**2 - 3*r + 6456*r**2 to j*r + f + o*r**2 and give f.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 17*i**2 - 22*i - 21. Let b be a(-10). What is the tens digit of (6 + (-1 - 0))*(156 - b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u - 160 = 12*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 + 9*m + 7. Let v(w) = 4*w**2 - 5*w - 4. Let s(f) = 3*q(f) + 5*v(f). Let l(y) = y**2 + 8*y - 2. Let n be l(-8). Calculate s(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 560*s**2 + 16100*s - 66000.\nAnswer: -4*(s - 20)*(s - 5)*(s + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 1. Let p be 5\/t - (-238)\/4. Let w(d) = 25*d**2 - d. Let f be w(1). What is the greatest common factor of p and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1423460 + 65?\nAnswer: 1423525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 2 u when four letters picked without replacement from {u: 2, s: 8, f: 3, m: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 7*l - 63. Calculate d(6).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - 3*k**2 + 4*k**2)*(-5 + 4 + 5)*(-10 - 3 - 16) + (-4*k - 3 + 3)*(3*k - 2*k + 0*k) in the form t*k + q*k**2 + x and give q.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/4)\/1*8. Suppose 3*s + n = 2 - j, -3*n - 23 = 4*s. Let v(a) be the third derivative of -a**4\/24 - 5*a**3\/6 + a**2. Give v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 16*y**5 + 11*y**5 + 4*y**5 - y**5 + 24*y**5 + (-3*y**2 + y**2 + 3*y**2)*(4*y - 4*y + 2*y**3).\nAnswer: 55*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 1 - 39. Solve t - 15 = -2*x, 3*t - x = -2*t + h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 484*p\/3 + 4480.\nAnswer: 2*(p - 210)*(p - 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from svvvssvsbsvsssvsb.\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -68 + 8*r**2 - 78 + 146. Let w(z) = 11*z**2 + 2*z - 2. Let x(y) = -44*y**2 - 9*y + 9. Let i(h) = -9*w(h) - 2*x(h). Give f(i(s)).\nAnswer: 968*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 704*g**2 - 35730*g.\nAnswer: 2*g*(g - 45)*(g + 397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 5*r + 2. Let h be s(1). Suppose -1 + 11 = 2*n. Suppose l = -5*j - 19, -4*j - 8 = 5*l + 3. Sort j, h, n in descending order.\nAnswer: n, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 60?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/8)\/(4\/96). Suppose c = -4*d - 4. Is 11 a factor of (-8 + d)*22\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131939 + 767225283\/5815. Let w = a - -377983\/23260. Calculate the common denominator of w and (-527)\/(-22661) + (-21453)\/(-3870).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/26536 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**3 + 11*b + 9. Let g(d) = 5*d**3 - 2*d + 2. Let r be g(1). Let c(v) = -r*v + 3*v**3 - 8 + 4 - 5*v**3 - 3*v**3. Calculate -9*c(x) - 4*w(x).\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000001010101110 (base 2) in base 12?\nAnswer: -323a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -537, -1058, -1579, -2100, -2621?\n\"Answer: -521*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1481, 2947, 5399, 8837?\n\"Answer: 493*i**2 - 13*i + 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4033229 - 32533229 = 3*i. Round i to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.44 and -5?\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 13608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 118038757007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 12*w + 5. Let l be y(12). Suppose 0 = j + j - 730. Suppose l*z = 1090 - j. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11864 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 80\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 - -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134.5 * -282.7.\nAnswer: -38023.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**3 + 515*l**2 + 250*l - 259. Give f(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.277, -3, 9, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448, 484, 510, 520, 508, 468, 394, 280?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1562 is divided by 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29390094653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/17? (a) 2\/217 (b) 0.3 (c) -0.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**9\/40320 + d**7\/3360 + 13*d**5\/30 - 14*d**2. Let o(g) be the third derivative of s(g). Find q such that o(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 1363093*l\/4 + 2044635\/2.\nAnswer: (l - 1363090)*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**9\/1512 + n**7\/504 - n**4\/24 - 5*n**2. Let c(t) be the second derivative of l(t). Find the third derivative of c(s) wrt s.\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 34.004, -4\/65, -2\/13 in decreasing order.\nAnswer: 34.004, 2\/15, -4\/65, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20210143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, -0.3, 276, -12, -4 in decreasing order.\nAnswer: 276, 2, -0.3, -0.4, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 1355, 2552, 4415, 7184, 11099?\nAnswer: 16400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3) - (sqrt(3) - -1*sqrt(3))*-3) + -3)*3*4.\nAnswer: -72 + 168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 2, z: 1, s: 13}. What is prob of sequence sxz?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 27 = -58. Suppose 3*r - t = 8*r. Let f(a) = -a**3 - 16*a**2 + 18*a + 18. Let o be f(r). Solve -3*z + o = -4*d - 5, -8 = -4*z - 5*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**3 - 45*f**2 - f**2 + 7*f**3 - 1 to y*f + u*f**2 + i*f**3 + j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085859 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.113227um to nanometers.\nAnswer: 3113.227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -44*d - 235 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 44 - 0. Let u = q - -5. What is the units digit of (-23)\/(-3) - 2\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*a - 16 = 0, -7*a + 6 = -9*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 0*m**2 + m - 7*m**2 + 0*m.\nAnswer: -3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**2 + 6*m**2 + 4*m**2)*(102*m**2 - 13*m**2 - 12*m**2).\nAnswer: 154*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -2. Suppose 0 = -5*l + a + 10, -l + 28 = 2*l - 5*a. Let u be l\/(-2) + m\/(-2). Solve n - 2 + u = 5*o, 5 = 5*o - 5*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*s + 4*s = -6, 2*n + s = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3441)\/5772 + (-3)\/(-8)*2. Which is the second smallest value? (a) z (b) 4\/7 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 36767*p - 5698886. Calculate s(155).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 2*i**2 + 3*i - 3. Let k(r) = 2*r**3 + 2*r**2 - 2*r + 2. Let m be 16\/(-9) - (-12)\/(-54). Calculate m*c(g) - 3*k(g).\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.68 - -6.7. Let k = h - 0.42. Sort 3, k, -3, -4 in decreasing order.\nAnswer: 3, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + -3.7. Let g = c - 0.2. Let a = g - -5. What is the nearest to -0.1 in 2\/5, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-20 + -9) - 39.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37846277.\nAnswer: 7, 110339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -38*u + 43*u + 4*u**2 + 0*u**2 + 5. Let m(s) = -3*s**2 - 4*s - 4. Suppose -6 = 7*i - 8*i. Let n(l) = -3*l + 14. Let q be n(i). Give q*x(k) - 5*m(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -580, -1170, -1760, -2350, -2940, -3530?\n\"Answer: -590*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 27 + 1 + 1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-77)\/(-35) + 1\/(-5). Let t(u) = -f*u + u + u - 2*u. Let b(k) be the first derivative of k**3 - 24. What is b(t(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and -460292.\nAnswer: 736467.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 3. Let o be c(-5). Let u(v) = -3*v + 25. What is the remainder when 5 is divided by u(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78000930 divided by -2228598.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22687 + 64849. List the prime factors of i.\nAnswer: 2, 3, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*i + 14, -525*i + 3*x = -523*i - 25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + -10 + 576\/360*20\/32.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95101010?\nAnswer: 2, 5, 241, 39461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 24 = 3*l, 3*l - 2*s = -s + 26. Let a = -9 - l. Let x = 33 + a. Calculate the greatest common factor of x and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o + 6*o + 6*o + 8*o + 5*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 9*t - 6. Suppose -1 + 16 = -3*g. Is z(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2520*i**3 + 67*i**2 + 3*i - 36 wrt i.\nAnswer: 15120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2416 = -15*i - 8*i + 990 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -192, -1.6 in increasing order.\nAnswer: -192, -4, -1.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/79, -3, -2, 2 in decreasing order.\nAnswer: 2, -3\/79, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 15*t - 44. List the prime factors of p(6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174243 is divided by 146764?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286332 - 31452 = 91*y + 27*y. Calculate the least common multiple of y and 1200.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/27)\/(432\/324).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 2128.6\nAnswer: 6385.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 k when three letters picked without replacement from jkkjkkkk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-22 - (-16 + (18 - 12)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 439669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 525*p + 68 - 1157*p - 3554*p in the form q + t*p and give t.\nAnswer: -5236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041393 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.99944*-6\nAnswer: -5.99664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4120\/(-690) - -6)*927\/120 and -73\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -109. Suppose -15*o + 19*o - 447 = r, -222 = -i*o + 2*r. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339492.\nAnswer: 2, 3, 19, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k = 49*k - 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114654672 to the power of 1\/2, to the nearest integer?\nAnswer: 10708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -67. Let y(p) = 2*p**2 - 5. Let v be y(-4). Suppose 5*q - 4*w = -6*w + 96, -2*q + 3*w = -v. What is the remainder when m is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**7\/735 + j**6\/14 - 65*j**5\/42 + 125*j**4\/7 - 2500*j**3\/21 + 8*j**2 + 2*j. Factor r(s).\nAnswer: -2*(s - 10)**2*(s - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(5))*-1 + sqrt(40)\/(sqrt(8)*-6))*1.\nAnswer: -7*sqrt(5)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -18576 + 18580 - 2050*j**2 + 34*j**2 in the form u + h*j**2 + i*j and give h.\nAnswer: -2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -28*g - 1. Let q(f) = -f**2 + 3*f + 5. Let p be q(4). Let d(j) = -3*j**3 + 2*j - 1. Let l be d(p). Is m(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/120)\/((-2)\/(-24)). What is c in 2\/9*c**3 + 0*c + 4\/9*c**o + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - w**2 - 2*w**2 + (-4*w + 5*w + w)*(-w - 2*w + w) + (8*w - 12*w + w)*(-31*w + 57*w + 29*w) - 1 + 1 + w**2.\nAnswer: -170*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2 = -10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/20)\/((-16)\/(-40)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-6 + -3) - (-5)\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 17 = -3*f, -4*f + 3*f + 4*n = 19. Let a be f\/5*10\/8. Factor 1\/4*x**3 + 1\/4*x**2 - 1\/4 - a*x.\nAnswer: (x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2983560 and 1840?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9208, 3\/5, -9, 1 in decreasing order.\nAnswer: 9208, 1, 3\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*i - 91 = 25, -5*i = 2*t - 130. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866 a factor of 2810176052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4779 in increasing order.\nAnswer: -4779, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4294491100 to the nearest one million.\nAnswer: 4294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/6 - (-1413)\/945 and (1320\/1120)\/(9\/2).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38596.4975 - 38648. Let b = 52.4 + i. Let l = 0.9 - b. What is l rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -474*c + 937. Determine x(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s**(-8)*s))\/s)\/s)\/s)\/s**(-3)*s*s*s**8*s*s*s*s*s*s\/s**12*s assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8429435731\/39 + 216125938. Let y = h - -13441. Calculate the common denominator of -25\/57 and y.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 7*p + 8. Suppose -x + 0*x + 14 = -4*o, 2*x + 3*o - 39 = 0. Is (-2)\/p + 963\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74096 divided by 421.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/23 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33435751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14305 is divided by 4753?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.018*-76\nAnswer: 1.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:19 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12561116 is divided by 671.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89029*d - 779*d**3 - 89029*d)*(-1 + 3 - 1)*(d + 0*d - 3*d).\nAnswer: 1558*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8287.744 nanometers in micrometers?\nAnswer: 8.287744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n - 73*n + 12 = 0. Solve 0 = -2*u + n*m - 6 + 2, 5*m = 3*u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 1416\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 48*w**2 - 17160*w + 4907650. Let x(f) = 9*f**2 - 3432*f + 981532. Let o(s) = -2*c(s) + 11*x(s). Suppose o(r) = 0. What is r?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a factor of 85872156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*i = -199*i. Solve i*p - 4 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j + 4*u + 16, 12 = 13*j - 9*j - 3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1701.9992363 + 1702. Round p to 5 decimal places.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -123\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 96*q = -1122. Sort -1, q, 1 in ascending order.\nAnswer: -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 685, 1302, 1789, 2080, 2109, 1810?\n\"Answer: -11*r**3 + r**2 + 691*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 - -11211?\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 156 and 3.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9001.52 millennia to years.\nAnswer: 9001520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - m - 22 = -4*g, -4*g + 3*m + 26 = 0. Solve -3*q + 11 = g*s, -q - 2*q = s - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 84*i - 13. What is the remainder when u(6) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*s**5 + 0 + 56\/5*s + 18*s**2 - 18\/5*s**4 + 14\/5*s**3 = 0. What is s?\nAnswer: -1, 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 5*n - 1. Determine k(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + 23562\/45. Let f = -516 + o. What is the remainder when 36 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.201 - -3.201. What is the second biggest value in v, -2, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 2)*(-59*f**2 - 1866*f + 1866*f) - f**2 - 3 + 3 + (-f - f - f)*(2 + 2*f - 2) to the form o + w*f + s*f**2 and give s.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 253400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 498, 2\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98 - 91 + 5*r**2 + 316*r**3 - 592*r**3 + 220 - 421*r**3 wrt r.\nAnswer: -4182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -3885?\nAnswer: -3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -279*d**3 - 656*d**3 - 2*d**5 + 636*d**3 + (2*d - 4*d + 3*d)*(6*d**4 - 3*d**4 - 2*d**4).\nAnswer: -d**5 - 299*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 1. Let f be 1\/(-3) - (-20)\/6. Let a(b) = -b**3 + b**2 + 4*b. Let g be a(f). Let n = g - 0. Let u(o) = 8*o**2 + 5. Calculate n*j(d) + u(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = t. Suppose 0 = -t*o - 5*f - 41, 2*o - f = -0*o - 11. Calculate the common denominator of ((-28)\/10)\/(o\/(-70)) and 77\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 1. Let i(j) = 39*j + 12. What is -2*i(q) - 22*l(q)?\nAnswer: -34*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**4 + 479228*s**3 - 2396064*s**2 + 2875248*s = 0.\nAnswer: 0, 2, 3, 119802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 3*c - 4. Let k be x(-4). Suppose 4*b - 3*l = 2*b + 37, -3*b + 2*l = -k. Put 2, 0, 3, b in descending order.\nAnswer: b, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**2 - 1129164*a - 3387528 = 0.\nAnswer: -3, 282294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - i = 4*i - 4, -5*i = 5*k - 80. Suppose 0 = s - 9 - k. Let q = s - -2. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/420 and 65\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06366 and 5889.19.\nAnswer: 5889.25366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2570897 or -2570896?\nAnswer: -2570896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2\/17 (c) 3\/3646 (d) 1 (e) 4 (f) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -1\/8*q**4 + 1\/6*q**5 + 0*q - q**2 - 1\/6*q**3 + 0. Is 19 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.024 in -12\/227, -4, -10?\nAnswer: -12\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40329656 rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 2. Let q be m(3). Suppose -n = -3*k + 7 + 2, q*n = 5*k - 8. Suppose -f = n*f. Solve 3*l - 3*a - 18 + 45 = f, -3*l = 3*a + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.06 (b) -3 (c) -0.8 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c61 - 435?\nAnswer: -1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 6*u - 2. Suppose -4*o - 30 = o + 3*x, 4*o + 5*x + 24 = 0. Give r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 minus 90449.965?\nAnswer: -90564.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:54 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 - -102.5. Sort -153, q, 2 in ascending order.\nAnswer: -153, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.792 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -42 + 21. List the prime factors of -2*f\/(-24) - (-2493)\/36.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -5*n**4\/4 - 355*n**3\/3 - 680*n**2 - 1340*n - 1075. Factor f(s).\nAnswer: -5*(s + 2)**2*(s + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:08 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/144 + q**4\/24 - 2*q**2. Let w(k) be the second derivative of m(k). Let h(s) = 2*s. Give w(h(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202, -279, -368, -475, -606, -767?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 + 17*o - 7. Let w(h) = -15*h**2 - 34*h + 13. Calculate 11*p(r) + 6*w(r).\nAnswer: -2*r**2 - 17*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11418305123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6 - -13) + 0 + -23.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13929961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/26 + 735\/39. Let a(o) = -o**2 + 3. Let t be 1 - (-4 - 0 - -5). Let g be a(t). Solve -4*v - 3*i = 23, -g*v + 2*i + 3*i = -n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -18822.\nAnswer: -2\/9411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t - 8 + 2*t**3 - 7*t**2 + 0*t**3 - 7*t**3 + 2*t**3 + 2*t**3. Let l be h(-6). Solve -10*d - 30 = -l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 26. Suppose 0 = f*a + 2*o - 2, 2 = 2*a + o. Solve w = -0*w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9012 - -2.9. What is p rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443048 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1170*j**2. Let b(d) = d. Determine b(w(n)).\nAnswer: 1170*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-159)\/106)\/((-4)\/(-2) - 6\/(-8))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/(-20) - (-1)\/(-4). Suppose -x - 2 = -y*x. Let t(m) = m + 2. Let u be t(x). Is 5 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129102.2452 to the nearest 1000.\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*u - 22 - 11, u - 37 = 3*r. Let a = 0 - r. Let q be (-1)\/(-4) + (-3600003)\/a. Round q to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (951\/317)\/((-12)\/44)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/12 + 2*j**3 + 15*j**2\/2 - 20*j - 28. Calculate t(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/21*(-2 - (-1 - 4)). Which is smaller: -18 or a?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002717 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1504*q**4 + 36559*q**3 - 54373679*q.\nAnswer: -18048*q**2 + 219354*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 5:34 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(605) + 0 + sqrt(605) - sqrt(605)) + sqrt(605) + 1)*-2 + (6*sqrt(605)*-1 + (sqrt(605) - -1*sqrt(605)) + -2)**2 + -2 + -1.\nAnswer: 132*sqrt(5) + 9681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30463 is divided by 396.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3367 is divided by 3341.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3009?\nAnswer: 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 38 = z, -n - 1 + 4 = 0. Let p be (-1 - 9)\/((-85)\/204). What is the derivative of z*o - p*o + 14 + 19*o wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -0.41. Let u = p - -0.4. Let o = -0.1 + u. Which is the closest to o? (a) 0 (b) 2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-2)*(-24)\/(-21). Let d(c) = 2*c**5 - 70*c**4 + 576*c**3 + 2*c. Let r(y) = -y**4 - y**3 + y. Let w(u) = i*r(u) - 2*d(u). Factor w(f).\nAnswer: -4*f**3*(f - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v + 0 + 0*v**3 + 1\/20*v**5 + 0*v**4 + 0*v**7 + 0*v**6 - v**2 + 1\/112*v**8. Find the third derivative of z(p) wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**4 + 2*d + 2*d**3 + 4*d**4 + d**2 - 7*d**4 - 3*d**4 to the form j*d**4 + i*d + q*d**2 + l + u*d**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 13. Let j(o) = -18*o**3 - 134*o**2 - 63*o - 6. Let c(x) = x**3 - x**2 - x - 1. Let y(u) = h*j(u) + 6*c(u). Factor y(p).\nAnswer: -3*(p + 8)*(4*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.8 to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.04 + -0.04. Let s = -1\/99 - 295\/198. Let j = 1.19 + -1.09. Which is the nearest to j? (a) f (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/33400 + 53437\/100200. What is the common denominator of 79\/4300 and f?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -44 - 22. Let g be (-3*w\/72)\/(14\/16). Determine j, given that 2\/7*j**3 + 0 + g*j - 4\/7*j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (5 + -3 - (2 - 1 - -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (sqrt(252) + 3 + sqrt(252) + sqrt(252))**2 + -3 + sqrt(252)*-2).\nAnswer: 288*sqrt(7) + 6828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 3*q - 5*s, -2*s - 26 = -4*q. Let c(n) = -3*n - 19 + 10 + n**2 - n + 4 - n. Calculate c(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 734068*o - 30 + 2*o**2 + 734068*o.\nAnswer: 2*o**2 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/((-6)\/(-5)))\/((-3)\/(-18)). Let g be (6\/y)\/(3\/45). Let u(i) = -14*i - 7. Let f be u(-5). What is the greatest common factor of g and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446969 is divided by 2292.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 4, -30 in descending order.\nAnswer: 4, -0.09, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149779, 149778, 149777, 149776, 149775?\nAnswer: 149774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - -2.17. Is -90 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 14 - 4. Put n, 1, 45, -8, -4 in ascending order.\nAnswer: -8, -4, 1, n, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**4 + 18*n**3 - 3*n**2 + 18*n. Let k(q) = q**3 + q. Let u(w) = -18*k(w) + x(w). Factor u(d).\nAnswer: 3*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -82*j**2 + 168*j + 166. What is u(-1)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*l + 36, -u - 5*l - 10 = -0*u. Suppose u*x = 12*x - 52. Solve 2*r = -3*t - 6, -4*r = -2*r - 5*t - x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:36 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 3*m - 21. Calculate z(9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 29985*n**2 + 1927230*n + 3974440.\nAnswer: 5*(n - 5932)*(n - 67)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**22*n)\/((((n**(3\/8)*n)\/n)\/n)\/n))**(-1\/30) assuming n is positive.\nAnswer: n**(-197\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 2*w + 4 + 15*w.\nAnswer: 17*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 48 = -0*k + 3*u, -2*k - u + 32 = 0. Let b = k + -12. Suppose 5*h = 6 + b. Solve -i - 15 = h*i + 3*t, -3*t - 3 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(121)*-1 - sqrt(121)) + sqrt(121))*-5)\/((sqrt(176) + 2*sqrt(176))*-4)*-4.\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 941 - 953. Let h be n\/(-22) + (-480)\/(-264). Find m such that -4*m**3 + h + 4*m + 5\/2*m**4 - 9\/2*m**2 = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4*z - z)*(-3*z + 4*z + 0*z) - 50 + 50 + 10*z**2 + 0*z**2 + 2*z - 3*z - 2*z**2.\nAnswer: 9*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -13 + 111. Suppose 3*k - 3*p - 51 = 3, -4*k + p + 60 = 0. Is s less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/(k\/k**1))\/k)**3*k**5*k\/(k*k**(-7)))**(10\/3))**(-2\/137) assuming k is positive.\nAnswer: k**(-100\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9))**(-32))**17\/(m**(-1\/8)\/(((m\/(m\/(m*m\/(m*m*m*m**(1\/9)*m*m))*m))\/m)\/m))**(4\/3) assuming m is positive.\nAnswer: m**(-6959\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -37. Suppose -2*u = v - 67, 0*u + 130 = 2*v + h*u. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 864, 1700, 2536, 3372, 4208?\n\"Answer: 836*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 3, 3\/2, 0.9, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*d - 655, d + 265 = 5*x - 7*x. Is -133 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857314.8 months in centuries?\nAnswer: 714.429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*g - 6, 4 = 3*h + 17*g - 12*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*s - 45*s + 97*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -8*k**4\/9 - 130*k**3\/9 - 200*k**2\/3 - 590*k\/9 - 112\/9 = 0.\nAnswer: -8, -7, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.012 and -434913.\nAnswer: -434912.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23566580 and 20041?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -71*d - 1. Let g(c) = 145*c**2 + 2*c. Give m(g(z)).\nAnswer: -10295*z**2 - 142*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 5 in increasing order.\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - ((-133)\/(-28) + -5). Let t = 2 + -4. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 348 (c) 0.5 (d) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1)*-5*-3 + -1*-4*(sqrt(11) - (sqrt(11) + sqrt(11) + 0)))**2 - ((6*sqrt(110)*-1)\/(sqrt(640) + sqrt(640) + -1*sqrt(640))*-5)**2.\nAnswer: -330*sqrt(11) + 22421\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/210 - 29*a**5\/10 - 1277*a**4\/24 + 17*a**2 + 4*a + 1. Find the second derivative of q(f) wrt f.\nAnswer: -12*f**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by -5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*w + 3*u, 9 = 4*w + 2*u + u. Solve 0*d = 3*d, 0 = -w*n + 2*d - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -16. Suppose 0 = k*r - 3*m - 2*m - 205, 0 = 2*r - m - 79. Calculate the remainder when r is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z + 4*z)*(11 - 5 + 12) - 5*z - 20*z - 18*z - 2*z + z + 0*z.\nAnswer: -62*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x - w = -67, 0 = -3*x + 2*w + 48. Suppose m + x = 51. Suppose l + 1 = -5*j + 7, 0 = -3*l + 4*j + m. Which is smaller: l or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 f when three letters picked without replacement from {m: 8, n: 2, k: 1, x: 1, t: 1, f: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9494 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**4 + 4*s**3 - 2*s**2 + 2*s + 2. Let g(d) = -5*d**4 - 3*d**3 + 3*d**2 - d - 2. Let v(n) = -3*g(n) - 2*y(n). Determine a, given that v(a) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -82*m - 2. Let s(n) = 408*n + 11. Give -2*s(l) - 11*t(l).\nAnswer: 86*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2579021 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 502279470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 6. Suppose 4*k = -b*w + 2*w - 122, 4*w - 142 = 5*k. Let y be 2\/8 + k\/(-8). Solve 4*i = u + 19, 3*u - 25 = -y*i - 2*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7938 - -7866.58. What is m rounded to 0 dps?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 765771*m**4*s + 32*m*s**2 - 37019*s**2 - 5*s + 18 wrt m?\nAnswer: 3063084*m**3*s + 32*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Suppose 3*m - x*d = -m + 12, d = -4*m + 17. Suppose 18 = -p + m*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168193449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-78)\/(-36))\/(1\/3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3 = -23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1)\/(sqrt(242) - -1*sqrt(242)).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(1\/(-1)))\/(839\/(-2517))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 7*q**2 - 8*q. Let u be b(8). Let i be u\/(-2) - 2\/(-4). Determine o so that i*o - 1\/4*o**2 + 0 - 3\/4*o**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 11:13 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59881467 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 157.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/12 and -85\/256.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 456650, 0.5, 2\/3, 0.1 in ascending order.\nAnswer: -1, 0.1, 0.4, 0.5, 2\/3, 456650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + (-8 - -5) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(397 + 275*l + 253 - 277*l) as s*l + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.645816 milliseconds in seconds?\nAnswer: 0.005645816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9058514kg?\nAnswer: 905851400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 13602.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92822*x + 0 + 27449*x - 2 + 286234*x.\nAnswer: 406505*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575348571.\nAnswer: 3, 7, 71, 293, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -472 divided by -118\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 165 - 15 = 0. Suppose -16*a = -9*a - 112. What is the remainder when z is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*m = -501*m - 28. Solve 9*o + 5*o = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 12321.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -776.6 times 3?\nAnswer: -2329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176894 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -78. Suppose 6*a - 450 = v*a. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/11)*(m*m\/(m*m**(-17)))\/m*m**(-2\/7)*(m\/(m*m**(-3\/10)\/m))\/m assuming m is positive.\nAnswer: m**(12961\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 147\/4*l**4 - 3*l + 45\/2*l**2 - 11 - 63*l**3. Determine w, given that a(w) = 0.\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001056860022 to six dps.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2752*x**3 + 2867*x**2.\nAnswer: -16512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30830671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 26. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -21*n - 31. Let f be u(-7). Let k = f + -68. What is the highest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2917*v - 2908*v + 45 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*v - 61*v = -4400 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + (-37440)\/5040.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*g + 47, -3*g - 53 - 19 = -j. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.031 in -1\/3, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)**(-5)\/(((u\/(u*u\/((u*u\/u**(2\/17))\/u)))\/u)\/(u\/(u*u**19\/u))))**(-13) assuming u is positive.\nAnswer: u**(4836\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023507 + 0.01834?\nAnswer: 0.041847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6365578?\nAnswer: 2, 41, 149, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97761 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28346930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 403925 = 15*l, i - 53861 = 19*l - 21*l. Calculate the highest common factor of 132 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-1 - -2)*-1. Suppose 4*v + 27*j - 31*j - 72 = 0, -25 = 5*j. Calculate the remainder when v is divided by 2\/i*(-14 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21000 divided by -5\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -178\/5097?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8966142 rounded to four decimal places?\nAnswer: 0.8966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 11) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5 - 474*k**3 + 2844*k**2 - 2985*k - 6300 = 0.\nAnswer: -15, -1, 4, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1618335 and 97\/6006.\nAnswer: 3239906670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 75395*y - 17567046. Calculate t(233).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-58)\/174).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 6:16 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n**2 + 6*n**2 - n**2 + 2*n**2. Let j(y) = 6*y**2. Calculate j(d(q)).\nAnswer: 294*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -919*y**6 + 25*y**2 + 615*y**6 + 189*y**2 wrt y?\nAnswer: -36480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 6*f**2 - 4*f**2)*(2*f**2 + 2*f**3 - 2*f**2) + 151*f**5 - 49*f**5 - 13*f**5 + 14*f**5.\nAnswer: 99*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1\/53 (b) -4 (c) 2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**3\/4 + 5199*u**2\/8 - 2595*u\/8 - 1299\/4 = 0. Calculate u.\nAnswer: -1\/2, 1, 866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 7*o + 3. Let p be h(-7). Suppose 0 = -3*q - p*b - 13203, -2*b + 4398 = -0*q - q. What is q rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/33*-48*((-2)\/(-2))\/1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwajdam. Give prob of picking 1 m and 2 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v - 3*q - 102, -v + 34 = -4*q. Solve v*g = 9*g - 36 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1006 and 554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250536 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, i: 2}. Give prob of sequence wwwi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/10*(-10)\/3. Suppose -d + 1 - a = 0. Let x = d - -13. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 16) to base 12.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 900703 - 11880?\nAnswer: 888823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 2:49 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000156972 to six decimal places.\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.026 and 4.7.\nAnswer: -0.1222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 9\/7, 3408?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2349390 divided by -16545.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3184 is divided by 982.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/6 + 10*i**3\/3 + i**2. Let v be f(4). Suppose 3*o = -v*k + 226, -72 = -0*o - o - 3*k. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:48 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187185436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32529920 divided by 1626496.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 402\/268*(-6)\/10*(-4)\/(-2).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v. Let l be g(1). Suppose 0*a + 3*b = -a + 7, -a - b + l = 0. Find the first derivative of 5 - 2 + a*w - 2*w wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47430, 379488, 1280780, 3035922, 5929530?\n\"Answer: 47436*m**3 + m**2 + 3*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let p(s) = -2*s. Suppose -4*q - 5*w = -21, 5*w = -3*q + 3*w + 14. Let h(b) = q*p(b) + 5*d(b). Let c(l) = -8*l. Calculate h(c(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-2\/9))\/(p\/p**(13\/4)*p)*p\/p**(-29)*p**17 assuming p is positive.\nAnswer: p**(1801\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*q**4 + 1773924*q**3 + 26499814*q + 3.\nAnswer: -528*q**2 + 10643544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - (12 + -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.536.\nAnswer: -0.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 475995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2 + 4. Let o = m - -2. Suppose f = -3*f + o. Solve f - 3 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (416\/104*2\/(-16))\/((-5)\/(1880\/4))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pukkpyppypyypjjjpjp. Give prob of picking 2 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6921 and 114.\nAnswer: 262998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35319 - -37173. What is the smallest common multiple of 69 and a?\nAnswer: 42642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 1\/21*d**3 + 1\/84*d**4 + 1\/14*d**2 + 3*d + 8. Determine c, given that b(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/3*(486 + -16 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 2*j)*(-9 + 27 - 11) + 13*j + 38*j - 17*j.\nAnswer: 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -384 + 869\/2. Suppose -4*o = o + 5. What is the common denominator of j and o + (-28)\/(-36) - 94\/(-72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -17. Let h = -7.8 + m. Let a = 2.194 - h. Round a to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71107914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 - 1. Let s be i(1). Suppose -15 = -x + 2*b, 4*x - 8*x + s*b = -40. Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let a be (4 + (-30)\/9)*3. Let x(c) = 4*c. Determine a*h(o) - x(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 12900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 3, -11, -43, -99, -185, -307, -471?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-620)\/(-14) - 0) + -2. Let t = 42 - m. Put -1, 0.4, t in descending order.\nAnswer: 0.4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 1. Let h(x) = x**2 - x - 1. Let o(g) = -h(g) + i(g). Let y(d) = 8*d**2 + 4*d + 2. Give 6*o(v) - y(v).\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -2)\/((-1)\/(-1)). Suppose f*r - 294 = -5*r + h, r - 2*h - 57 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/6095 and -47\/5520.\nAnswer: 292560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 5, 0, -5 in decreasing order.\nAnswer: 14, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5312*0.02.\nAnswer: -0.050624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12429011 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:33 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 1, b: 1, w: 1, t: 1, y: 1}. Give prob of sequence bjt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - f = 2*z + 20, 3*f = -4*z + 36. Suppose -z*r - 8133 = -9*r. Let u = -766 + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2549*h - 131587 = 95274 for h.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -243191 and 0.3.\nAnswer: -243190.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0 - 1\/80*n**5 + 1\/6*n**4 + 23*n + 2*n**2 - 5\/6*n**3. Factor p(k).\nAnswer: -(k - 4)*(k - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aja when three letters picked without replacement from avja?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/((6\/(-12))\/1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (640\/(-165) + 4)*(-45)\/10\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 386 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7693, -15367, -23041, -30715?\nAnswer: -38389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/9 (b) -16 (c) 0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*w**2 - w - 3938?\nAnswer: -98*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 15 - 2 - 5 - 14*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-18424)\/(-140))\/47?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 16704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s + 42. Calculate the remainder when o(0) is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2890 + 153. Let h = w - 2003. List the prime factors of h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7 + 782*n**3 - 16*n - 783*n**3 + 10*n**2 + 8*n + 0. Calculate the lowest common multiple of h(9) and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2190 - -2190.2. What is the closest to 0.1 in -2\/5, -2, -32, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*r - 4903 = 1957 - 1559 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 - -0.72. Which is the smallest value? (a) 1\/7 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2459 + 2392\/164753. Which is the closest to 1? (a) -9 (b) -1 (c) k (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(7) + 2 - sqrt(7)) + -2)**2 + (-2*sqrt(1008) + sqrt(7) - (sqrt(343) - (sqrt(343) + 0)**2)).\nAnswer: -30*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4240 + 4250. Solve 4*n = -p - 5, 3*p = 3*n - d - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 + (-63 - -27) + -59.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10039007149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13\/3)*k*k**(-3\/2))**(-11) assuming k is positive.\nAnswer: k**(319\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000828994 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020\/90 - (-1070)\/(-96).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/5)*(-6)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**27)**(-2\/25) assuming h is positive.\nAnswer: h**(-108\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 3:39 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = a. Find the first derivative of 3*g**4 - 6*g**4 + a - 2 + g**4 wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -8. Suppose 2*i - s = -13. Let j(o) = -o - 2. What is the remainder when 11 is divided by j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3200 by 2.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 24*r - 91 = 0. Suppose 5*u - 14*a = -r*a + 39, u + 4*a = 12. Solve 22*d - 24*d + u = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c - c + 4*c**2 + 19*c - 43*c - 6*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -24 - 83\/2*s**2 + 0*s. Let o(k) = 2*k**2. What is u(o(c))?\nAnswer: -166*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-23)*t)\/(t**0*t))\/(t*(t\/(t**18*t))\/t*t*t*t*t**(1\/3)) assuming t is positive.\nAnswer: t**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 392471 take away -0.05809?\nAnswer: 392471.05809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8490621 smaller than -8490620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiyiiyyyyyyiyiyhii. What is prob of sequence yyy?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 242348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + 3.91. Let w = -16\/3 + 6. Which is the second smallest value? (a) -0.1 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.2 (b) 5 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 45809120226?\nAnswer: -45809120226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -78*y + 13. Suppose -6 - 6 = -3*s. Let z be d(s). Calculate the common denominator of (-39)\/z*82\/(-12) and -9\/5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -41068.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/13, -3, 2?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/7 + (-4)\/14. Let d = s - -11. Suppose -10*z - 3*u = -7*z, 3*z - 4*u = 28. Solve d = -5*v + z*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.325746 to three dps.\nAnswer: -6.326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose -3*p = q*f - 137, -3*p - 100 = -3*f + 29. Round f to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 20. Factor 2 - 39*o**3 + 0*o + o + 27*o**b - o**2 + 10*o.\nAnswer: (o - 1)**2*(3*o + 1)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 - 1. Let t(v) = 13*v**3 + v**2 - 9*v + 2. Let f(r) = -l(r) + t(r). What is the second derivative of f(p) wrt p?\nAnswer: 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1, 413 in decreasing order.\nAnswer: 413, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxvvtgt. What is prob of sequence xtx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1330*f**3 - 1 + 437*f**3 + 442*f**3 + 446*f**3 - 5*f + 12*f**2 to x*f**3 + t + r*f + o*f**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -22.053, -4\/7, -1, 1\/5, -6 in increasing order.\nAnswer: -22.053, -6, -1, -4\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.177 - -0.077. Let z = -56.7 - -57.9. Which is the third smallest value? (a) z (b) 2\/15 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 8:13 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13 = -3. Suppose -j = 3*w - 63, 8 = -5*w + 2*j + 102. Suppose 3*v + 18*g = w*g - 29, 0 = -2*v - 5*g - 13. Sort -3, x, v, 3 in ascending order.\nAnswer: v, x, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 0)*(-1)\/(-9). Let t = 5.6 + -0.6. Let x = 0 - -1. What is the biggest value in x, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55980 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8451, -11304, -14159, -17016, -19875, -22736, -25599?\n\"Answer: -n**2 - 2850*n - 5600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*v - 53*v**4 + 20*v**4 + 10 + 32*v**4 - v**2 as z + c*v**3 + s*v**2 + l*v**4 + u*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/3, 0.2, 10 in increasing order.\nAnswer: -3, 0.2, 5\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*(-1*sqrt(50) - sqrt(50)))\/(3*(sqrt(90) + sqrt(10))))**2.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 + 4. Let f(r) = -12*r**2 + 64. Let m(q) = 2*q**2 - 10. Let s(v) = -5*f(v) - 32*m(v). Calculate t(s(j)).\nAnswer: 112*j**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24482 = 859*h - 977*h - 12123*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = -4*n, 0 = -c - 3*c - n + 5. Suppose 0 = 5*k + 8*k - 195. Suppose -6*b + b = -k. Solve d + c = -b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588 and 63?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97352 is divided by 1738.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -205.4809 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2657 and 0.0683.\nAnswer: -2656.9317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 + 1?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -20. What is the highest common divisor of u and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*2)\/((sqrt(10) + sqrt(30)\/sqrt(3))\/sqrt(2) - sqrt(5)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 630 + -181. What is the remainder when t is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30283 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 537 - 535. Let f(o) be the third derivative of 0*o**6 + 0*o + 1\/30*o**7 + 0*o**4 - 11\/6*o**3 + 0*o**5 + 0 - m*o**2. Differentiate f(c) wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**4\/12 + 11*n**3\/6 - 8*n**2. What is t(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**3 + 1. Suppose 5*h = -5 - 35. Let o = 4 + h. Let b(r) = -15*r**3 + 2. Let m(z) = o*b(z) + 11*j(z). Find the first derivative of m(g) wrt g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -522 (base 7) to base 10.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1420212242?\nAnswer: 1420212240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11442 - 137195\/12. Calculate the common denominator of w and 53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 16 = -2*z, 4*r = -z + 7 + 16. Which is bigger: r or 19\/3?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 6 = 2*l, -3*l + 207 = 4*n. What is the remainder when n is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 280 = 2*v - 2*i, v - 98 = 3*i. Solve -93*m + v*m = 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8593.7 and -0.068.\nAnswer: -8593.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {p: 8, u: 5, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8877 divided by -2959?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 782*t**2 - 8*t - 4 + 1569*t**2 - 4*t**3 - 775*t**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 580 and 1.9.\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 2*g. Let n(t) = -t**3 + 2*t**2 - 4*t + 3. Let v be n(2). Let o be w(v). Let j = o - 9. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + r + 5 + 12 = 0, 5*o + 3*r = -31. Suppose -2*t + t + 5*a = -7, 3*a + 3 = t. Sort t, 1, o.\nAnswer: o, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 22*f + 108. What are the prime factors of k(30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkebkbbkkkbkkekkk. Give prob of picking 1 e and 2 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + r**2 - r + 3. Let n(d) = d**3 - 3*d**2 + 47. Give n(f) + w(f).\nAnswer: 2*f**3 - 2*f**2 - f + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36111642 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 33*v - 7045 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 858 + -484. Suppose -14*x - 8 = -18*x. Suppose 0 = -0*t + x*t - s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134599713713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042658 is divided by 312?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3492*h**5 - 3*h**4 - 2*h**2 + 88*h + 57.\nAnswer: 209520*h**2 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 21 = 4*r, -r - 7196*z = -7191*z - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 228338 + 20205 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4031241 + -20?\nAnswer: -4031311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18752332 is divided by 836.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-3 + 72 - 47).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15770627 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:44 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-9)*((-306)\/(-255))\/((-4)\/10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(6 - 1 - 4)*(-o - 4*o + 4*o - o + 2*o - 4*o + (-4 + 2 + 1)*(-2*o + 2*o + 2*o) + 4*o - 4*o - o).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2235 divided by 88\nAnswer: -2235\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/12 + p**3\/3 - 3*p**2 + 7*p. Give q(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -390 - b?\nAnswer: -39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/759 and -19\/27?\nAnswer: 6831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -1059, -1603, -2169?\nAnswer: -2757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 10 = 6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 18 - 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 9 - 2*v**2 - 4*v + 3*v**2 - 2*v. What is o(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1415*j**2 + 517*j. Let u(s) = 1368*s**2 + 518*s. Let m(t) = -6*u(t) + 7*x(t). What is the second derivative of m(l) wrt l?\nAnswer: 3394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5de5e + -3f2?\nAnswer: 5da6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 19*k**3 + 7*k**2 - 14*k - 2. Let b be c(2). What is the second derivative of -b*o + 140*o**3 + 45*o**2 + 22*o - 138*o**3 wrt o?\nAnswer: 12*o + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -3, 5, 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2719354 and 433616.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(19) - sqrt(19))*4*5 + -2)*-5 + 1)**2.\nAnswer: 8800*sqrt(19) + 3040121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, -2, -1601, 5, -16 in decreasing order.\nAnswer: 5, 3, 2, -2, -5, -16, -1601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 1533?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2270706428 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f - 2*f + 26*f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1662*j**2 - 1662*j**2 + 837*j**3)*(-2*j - 2*j + 3*j).\nAnswer: -837*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 779*s + 779*s - 72 - 209*s**2 - 264.\nAnswer: -209*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7479 - 104603\/14. Find the common denominator of (-75)\/36 + 5 + 0 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 305 + -15893?\nAnswer: -15588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 4*y**5\/35 + 81*y**4\/7 + 2804*y**3\/7 + 33718*y**2\/7 - 76176*y\/7 + 14337. Let c(q) = 0. What is q?\nAnswer: -36, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**2 + 12 - 9 + 42*c**2 - 5*c**2 as a*c + j + u*c**2 and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 119.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -193*r**8\/14 - r**4\/4 + 23*r**3 - 2084*r + 2. What is the third derivative of u(k) wrt k?\nAnswer: -92640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**5 + 2*l**2 - 22*l. Let u = 5 - 3. Let r(b) = 3*b**5 - 3*b**2 + 23*b. Let f(k) = u*r(k) + 3*v(k). Find the second derivative of f(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 56) + (-73 - (-45 + -23))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5602710.96 minutes to weeks.\nAnswer: 555.8245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7*x - 25. Let l = -18.9 + 19. Put -3, x, l in decreasing order.\nAnswer: l, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.088 - -0.288. Let m = 1 + -2. Put m, r, -0.1 in increasing order.\nAnswer: m, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0*5\/(-35))\/(-1). Suppose 11*b - 722 - 1225 = y. What are the prime factors of b?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45468 and 19116?\nAnswer: 8047836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 692 + -692. Suppose -2*l + 6 = g, 2*k - 3*l - 50 = 35. Calculate the remainder when k is divided by (-2)\/(-1)*(-25)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2.5 (b) 112 (c) 1 (d) 35 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7549649, -7549653, -7549657?\n\"Answer: -4*d - 7549645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 5*r - 4. Let k be j(4). Let q = -19 + k. Solve -q*x = -f + 22, -2*x - 3 = -4*f + x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 + 0)*(0*n - 2*n + 0*n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/7 - 46*g\/7 + 152\/7 = 0. Calculate g.\nAnswer: 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 28169397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 1. Put d, -2, 0, 3 in decreasing order.\nAnswer: 3, 0, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - 32 + 23 - 32 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 4*q = -33. Let i(d) be the second derivative of -1\/4*d**2 - 1\/16*d**4 + 0 + 3*d - 5\/24*d**q. Factor i(n).\nAnswer: -(n + 1)*(3*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-42) - 4859\/1582?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7622133, -7622171, -7622209, -7622247?\nAnswer: -7622285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q + 12. What is the smallest common multiple of (-52)\/(-44) + q\/22 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -59, -90, -177, -338, -591?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 0.6, -32\/13, -1\/3.\nAnswer: -32\/13, -1\/3, 0, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 217 divided by -30\nAnswer: -217\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1481*p - 2. Let o = -23 - -28. Let v be h(o). Let t = v - -118429\/16. Calculate the common denominator of t and -35\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -1 + -11 - (-16 - 18) - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) + sqrt(117) + ((sqrt(117)*1 - sqrt(117))*-4 - sqrt(117)) - sqrt(117))*5)\/((sqrt(576) - 2*sqrt(576))*-6*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 + 96 = 5*d - 4*f, d = -5*f - 74. Let l = 16 + d. Let p be 8\/6 - (-80)\/l. What is the biggest value in -0.3, p, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -f - 3*a, f - 3*a + 4 = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -17 - 8. Let t(h) = h - 3. Let x be 32\/6 - 4\/(-6). Let c be t(x). Solve s - 2 = -c*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/73 equal to 0.171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f. Let d(v) = -v**2 + 66. Let p be d(f). What is the greatest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 3 - 3 + (0*d + 0*d + 2*d)*(5*d**2 - 2*d**2 - 2*d**2) + d**3 - 2*d**2 + 2*d**2 + 2*d**3 + d**3 - 2*d**3 + (-d + 0*d - 3*d)*(31*d - 11*d**2 - 31*d).\nAnswer: 49*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12333170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 - 13*j + 32*j - 2*j**4 wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**3 - 2*j**2 - 2*j + 2. Let u(d) = -24*d**3 - 9*d**2 - 9*d + 7. Let m = -608 + 599. Determine m*s(n) + 2*u(n).\nAnswer: 6*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*k + 11*k - 5*o, 5*k = -2*o - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127\/43 + 2 - (774\/162 + (-2)\/(-9)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 6*i**2 + 7*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (13 - 7 - 6) - 1) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7.7. Suppose 13*k + 32 = -19*k. Let u = 0.1 + 0.4. Which is the smallest value? (a) k (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -23a0?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*b**3 - 11*b + 3*b**3 - 2*b**2 - 5*b**3 to the form s + i*b**2 + c*b + a*b**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j*o*q + j*o*t**2 - 12*j*o*t - j*q*t**2 - 2*j - 2*q*t - 3 wrt o?\nAnswer: 3*j*q + j*t**2 - 12*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o - j - 20 = 0, -2*o - 5*j = 28. Let z be ((-1161)\/(-4) + o)*-28640. What is z rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from hshsshshsssssh.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.093 * 0.5.\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 6. Let w = 17 + z. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 294182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32964 is divided by 277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/50896 and 97\/470788?\nAnswer: 1883152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2045*b + 3833*b + 4710*b - 1245*b.\nAnswer: 9343*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 96*z**2 + 270*z - 7. Give m(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 47*f**2\/3 + 270*f + 600.\nAnswer: -(f - 15)*(f + 2)*(f + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(2\/(-13)))\/(292\/((-1752)\/(-2)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v - 632. Give c(70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c + 26*c**5 - 13*c**4 + 13*c**4 wrt c.\nAnswer: 520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 100 = -2*j. Let f be (-10)\/4*(-30)\/j. Suppose 0 = -5*h + f*h + 22. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23227120 and 70210?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 799\/624 + 50\/39. Find the common denominator of 113\/20 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, e: 9, u: 1, x: 2}. What is prob of picking 1 x and 3 e?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-1))\/((-3)\/(-9)). Let a be (-6)\/m*(-12)\/16. Factor 0*d**2 + 1\/2*d**3 + 0 + a*d**5 + 0*d + d**4.\nAnswer: d**3*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 15*r**2 + 88)*(3*r + 4*r - 3*r) + 1 + r**3 + 19*r**2 - 2*r**3 + 2*r - 20*r**2.\nAnswer: 59*r**3 - r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-203)\/35 - (-2)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491009?\nAnswer: 31, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g = -5*b + 844, 0 = b - 3*g - 204. Let d = 47 + -14. What is the lowest common multiple of b and d?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189 + -185. Solve 5*x = y*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*c - 16 = 0, c - 3*c = -u - 1. Let h(t) be the second derivative of 3*t - 1\/3*t**4 - t**2 - 5\/6*t**u + 0 - 1\/20*t**5. Factor h(l).\nAnswer: -(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 5:11 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112212 - -100201202222?\nAnswer: 100121020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y + 3*n - 1, -n = -3*y + 4. Suppose 1704 = 2*a + 4*m, 3*m + 2574 = y*a + a. Let w = -537 + a. Calculate the greatest common divisor of 29 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, w: 6}. What is prob of picking 2 w and 1 y?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 28*a + 0 + 0*a**2 + 1\/2*a**3. Let s(b) be the third derivative of -b**5\/30 + 2*b**2. What is p(s(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 - 5*b - 1. Suppose 15 = -5*y - 5. Let x be f(y). What is the common denominator of 45\/4 and x\/12 - 398\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 21*p = -20, 5*w - p = 5. Solve -3*u + 22 = -5*a + 6, u + w*a = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125 divided by -6?\nAnswer: -2125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/2)\/h**(-24))**39)**(3\/11) assuming h is positive.\nAnswer: h**(6201\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826976, 826975, 826974?\nAnswer: 826973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 + 6*u + 4. Let f be p(-6). Suppose f*a = 8*a - 12. Calculate the highest common divisor of a and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:07 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Let r = -0.991 + o. Round r to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i - 2*i + (0*i + 0*i + 2*i)*(5 - 2 - 1) + 0 + 2*i + 0 - 4*i + i - 8*i + 274 + 22*i + 36*i - 276.\nAnswer: 51*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 18*a**2 + 185*a + 1664. Calculate s(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3596, 14390, 32380, 57566, 89948?\n\"Answer: 3598*y**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -32030111012?\nAnswer: -32030110323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 at least -771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -34*n + 2 - 71*n**2 + 28*n - 2. Let z be v(-6). Round z to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - p**4 - 10543 + 10544 - 7*p**3 + 3*p to b*p**4 + k*p**2 + y*p**3 + g + i*p and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1, 6, -169, 3, -17 in increasing order.\nAnswer: -169, -17, -4, -3, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -27, 3, -0.21?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50423601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6*s - s + 22, 0 = 4*f - 2*s - 14. Put -3, 0, -4, f in descending order.\nAnswer: f, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyttyyytyy. What is prob of sequence tyyy?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -d3202b (base 14) in base 6?\nAnswer: -412240103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003357269 rounded to six decimal places?\nAnswer: -0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 863165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/30 - 4*g**4 + 192*g**3 + 152*g**2. Solve z(t) = 0 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -680.032 to the nearest ten.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9082494*o**3 + 5024006 wrt o.\nAnswer: -27247482*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.02582685 to five decimal places.\nAnswer: -0.02583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 = w, 0 = -2*w - 47*l + 46*l + 31. Calculate the highest common factor of w and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 26 = -4*l, h + 22 = -4*l - 1. Let s be (8\/l)\/(1\/(-27)). Suppose 0 = -m - 2*m + s. Solve 0*b + b + 4*t = -12, -m = -4*b + 4*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 11*t + 41. Suppose b + 4*b = -j + 36, 3*j = 4*b - 44. Let x = 27 + 23. Calculate the remainder when x is divided by z(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-1 - -19) + -10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k**3 + 35*k**2 - 35*k**2.\nAnswer: -49*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16159.\nAnswer: 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:31 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 - i**5 - 3*i**5 + (-4*i + 4*i - i**3)*(-12*i**2 + 2*i**2 + 2*i**2).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-6 - -12 - 3) + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550810 is divided by 36717.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1 - -5. Which is the closest to s? (a) -3 (b) -0.3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.4 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.169 and 1980.\nAnswer: 1977.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f + 4. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 3, c: 2, i: 4, a: 2}. What is prob of picking 3 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123278364 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 3. Let h(a) = -a - 1. Calculate -5*h(u) + 2*l(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 63 (b) -4 (c) -91\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 - 230.52. Round l to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 4*n**2 - 2*n + 2. Let g(m) = m**3 + m - 1. Let v(o) = 2*g(o) + k(o). What is the third derivative of v(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8 - -3.2. Let v = g + 2. Let w = 0.592 + v. What is w rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:31 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488) + (sqrt(7488)*-1 - sqrt(7488)) + sqrt(7488))\/(sqrt(4) + 1*sqrt(144))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 1, 2.\nAnswer: 1, 2, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40500008 = 5*w + 2*t, 3*w = 4*t - 23512410 - 787574. What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**4\/18 + w**3\/3 - 13*w. Factor p(n).\nAnswer: -2*n*(n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -101*h**2 - 22*h - 1. Let j(z) = z. Give a(j(q)).\nAnswer: -101*q**2 - 22*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - x - 31 - 8*x**3 to v*x**2 + r + c*x + h*x**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-44)\/(f**0)**(-8))\/((f**(-2\/7))**(2\/11)*(f**1)**(-48)) assuming f is positive.\nAnswer: f**(312\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/(n\/(n*n**(-5))))**(3\/16)\/((n*n**(-1\/2))**(-2\/7)\/(n*n**(-1))**(-2\/15)) assuming n is positive.\nAnswer: n**(-47\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 2*k + 6. Give n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*22766673.\nAnswer: -25043340.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 1)\/(-4*5\/(-40)). Suppose h + 2*u - 19 = -b, 4*h - 8 = u. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 23 + 2*g**3 - 5*g**3.\nAnswer: g**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 23*n = -28*n - 35, 2*a = 2*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -158 + 156. Let f be 2*(1 - 9\/(-6)). Put f, 1, -3, b in decreasing order.\nAnswer: f, 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/22 and -1\/142?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.78 and 7837.\nAnswer: -13949.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(-1\/8))*l**39)**(-37) assuming l is positive.\nAnswer: l**(-11285\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5259629 and 230957?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h + 390 = 5*r, -r = -2. Let z = 2 - h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94145.36 micrograms to kilograms.\nAnswer: 0.00009414536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + (-165)\/18 - 1\/(-78). Sort x, 6\/7, 1\/50, 2 in descending order.\nAnswer: 2, 6\/7, 1\/50, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/159 or 6?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-294)\/(-14) + (1 + 2)*-1. Is -4 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28509172 to the power of 1\/2, to the nearest integer?\nAnswer: 5339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3146 and -105.302169882?\nAnswer: 3040.697830118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28522 (base 9) to base 5\nAnswer: 1110004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 6. Let b(m) = -2449*m - 24. Give b(d) + 4*z(d).\nAnswer: -2441*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9)\/a**(-1\/55) assuming a is positive.\nAnswer: a**(-494\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 5*b**2 - 42*b + 45. Give s(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -181644411*s. Let f(h) = -7*h. Calculate f(d(t)).\nAnswer: 1271510877*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yym when three letters picked without replacement from ammahayyahya.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -18061.84.\nAnswer: 3612.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 18*w + 12. Let x(q) = 11*q + 8. Calculate 5*n(f) - 7*x(f).\nAnswer: 13*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-12) + 1)\/(3\/(-30)). Suppose 88*x + 15*x**2 - 16*x**2 + n*x**2 = 0. What is x?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.43 - 2.43. What is the nearest to 1\/4 in v, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10977118?\nAnswer: 2, 23, 127, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 11:16 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 53405 divided by 2440\nAnswer: 10681\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 0.4, 0.03, -10.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96371*r**5 + 39*r**2 + 54*r**2 + 97177*r**5 wrt r?\nAnswer: 48360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cac0 + 1d?\nAnswer: 2cadd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488020718 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -50, 733 in descending order.\nAnswer: 733, 10, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.53 - -22.47. Let x = 22.9 - q. Let f = -1 - 0. Is x at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-5)\/4)\/(5\/(-20)). Solve l - 5*w - 3 = -12, 0 = -v*w + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*u = 184*u + 1323. Sort u, 1\/3, -19.\nAnswer: -19, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4141 (base 10) to base 16\nAnswer: 102d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 17. Solve 0 = -q + w*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*u = -2735*u - 335454 for u.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 9*a + 2 - a + 3*a - 3*a + (a - 3*a + a)*(0 + 0 + 1) + 3*a - 2*a - 3*a - 2*a + a + 3*a - 15*a - 88*a + 32*a - a - a + 4*a.\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90086 divided by -4253?\nAnswer: -90086\/4253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q. Let b(t) be the first derivative of t**3\/3 + t**2\/2 + 2*t - 2. Let h be b(q). Sort 5, h, -2.\nAnswer: -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.84 * -5448.\nAnswer: -37264.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((4 - 4) + 2 + -5 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2\/((-3)\/3)). Suppose 4*y + 8 = -2*t - b, 3*y - 8 = -5*t. Suppose x - 5*v = 39, t*v = -x + 3*x - 96. What is the lowest common multiple of x and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (7 + -4 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 801, 820, 851, 900, 973, 1076, 1215?\n\"Answer: d**3 + 12*d + 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1*2)*(-1084)\/(-542).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 2 j when four letters picked without replacement from fefeffffferjerjeffr.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**6\/180 + 6*n**3 + n**2 - 2*n - 71. Let c(x) be the second derivative of z(x). Let t(h) = 60*h. Determine t(c(s)).\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90572029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 379\/7 - 6281\/112. What is the common denominator of -11\/4 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3184 and 91\/1194.\nAnswer: 9552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63635172 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274*42913.\nAnswer: -54671162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -603 - -762. Suppose -49*r = 12 - s. Solve -r*f - 7 = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**(-2\/23)*g**5*g*g*g*g\/(g*(g**(-2\/11)\/g)\/g)*(g\/(g\/((g**(-2)\/g)\/g))*g**(7\/5))**22 assuming g is positive.\nAnswer: g**(-2586\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367332301?\nAnswer: 7, 19, 61, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9431 (base 12) to base 5\nAnswer: 1004130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + -15. Let q = -33 - a. Solve 1 = q*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(119\/(-14))\/(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*i = -5, -h = -4*h - i - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -19. Let x = 3 - l. Let t(h) = h**3 - 2*h**2 - 5*h + 4. Let b be t(x). Solve 0 = -v + z - 4*z + b, v = -4*z + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h - 40. Calculate the remainder when 63 is divided by g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**4 + 6*r**3 - 6*r**2 - 11. Let q(p) = -7*p**4 - 7*p**3 + 7*p**2 + 12. Let v(o) = -7*a(o) - 6*q(o). What is the first derivative of v(x) wrt x?\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*r + 23 - 3, 3*j = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 32 - 8. Suppose 4*o = -2*k + 16, 6 = -3*k - 0*k + q*o. Let v be (-1 - 1)*-1 + 2. Solve -v - k = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 - p + p**4 - p - 72*p**3 - p**2 - 2 + 71*p**3 in the form q + b*p**4 + m*p**3 + t*p**2 + z*p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -41*2\/(1*-2). Let d(w) = -w**2 + 2*w + 6. Let i be d(7). Let x = i + l. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*p**6 - 234*p**4 - 8*p**2 - 193*p + 1 wrt p?\nAnswer: -2280*p**3 - 5616*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/((-63)\/84).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2119 - 2037 + 4156 - 15645*i + 2*i - i + 0*i + (-5 + 0 + 3)*(-4*i - 4*i + 6*i) + 0 - i + 0.\nAnswer: -15641*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 7 + -7 - 342. Let a = y + 350. What is the highest common factor of a and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633 by -3.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 129 - -164) + (-2 - (3 + 36))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -396 + 399. Suppose 0 = 5*u + r - 43770, g*u + u + 5*r - 35037 = 0. Is u 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 18 and 879426?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 1893 = 8915. Let m = 627 + q. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -416567 < -416566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10086019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -35*c - 4. Let b(t) = 9*t + 1. Determine -9*b(x) - 2*r(x).\nAnswer: -11*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**2. Let o(b) = -4*b + 9*b - 8*b - 3*b. Calculate o(s(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41810 divided by 37\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 3}. What is prob of picking 2 g and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -255, -219, -183, -147?\n\"Answer: 36*y - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2650\/650 - 1*4\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.06.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39300003 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -957, -2166, -3869, -6072, -8781?\nAnswer: -12002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {c: 1, a: 3, z: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4162 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = 3*w - 1, -5*f = 5*w - 30. Suppose 4*z = w*y + 6, z + z = -3*y + 12. Suppose 58 = z*p - 407. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-4 - -7)) + (-14 - -4) + 13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2055811 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 8, j: 9, x: 2}. Give prob of picking 3 i.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 606176399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795 is divided by 593?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5984430 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: Calculate prob of sequence lll when three letters picked without replacement from {l: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.5751 millennia to months.\nAnswer: 462901.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-36))\/(80\/(-144)). Which is the nearest to 1? (a) 82 (b) 6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 - (722\/(-56) - 4\/(-28)) - -3 and (-5)\/(-26)*(-42)\/10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(0 - 2\/5). Let j(p) = -4*p - 17. Let c(k) be the third derivative of 3*k**4\/8 + 43*k**3\/6 + 127*k**2. Let f(q) = 2*c(q) + 5*j(q). Give f(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 534538 and 15526.\nAnswer: 2218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 5, -4*v + 21 = n. Suppose -10 = -5*i, -v*i + 0 + 1 = j. Let z be (4 + j\/2)*1. Which is smaller: z or 24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*l, -2*z + 7*l = 3*l - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 72\/(-33) - 2) + 268\/220?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 17. Let v be l(12). Let z be (-3)\/(-7) + ((-12)\/v)\/(-3). Let t = 2.6 + 0.4. What is the closest to 1 in z, -4, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/192 and 53\/6.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 0.2. Let a = -431.2 - -431. What is the nearest to 2\/7 in r, -3\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -23362\/16803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24\/5*t**2 + 2\/5*t**4 - 8\/5*t**3 + 0 + 0*t = 0 for t.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 562836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9.1. Let g be 2*(-2)\/4 - -6. Let n(x) = x**3 - 4*x**2 - 6*x. Let v be n(5). Which is the closest to -0.3? (a) t (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**8\/24 + 4*i**5\/15 - i**2. What is the third derivative of k(m) wrt m?\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2. Let b(i) be the second derivative of -i**4\/6 - 9*i. What is a(b(g))?\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*b = 133 + 217, 4*b - 323 = 5*m. Let k = 63 + m. Sort 1, 4, k, 0 in increasing order.\nAnswer: k, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 31 = 2*r - 0*l, 137*l = -r + 400 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 88036?\nAnswer: -3\/88036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1 - 12\/(-10)). Suppose d*l - 129 = -39. Let r be (-4)\/18 - (-220)\/l. Solve 0 = 2*j - s + r, 2*s = -j + 2*j + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9722669*g**5 - 10389463*g.\nAnswer: 194453380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-150)\/225*((-19)\/2)\/(-19))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(9\/6 - 3). Let o(c) = 3*c + 3. Give o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-124576)\/80)\/((2\/(-10))\/1).\nAnswer: 2, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5, 3\/5, -2\/5, 0.13345?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 58*z**2 + 3*z - 150. What is the tens digit of p(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 26. Which is greater: -5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7*r - 2)*(-5 + 3 - 8) in the form x + o*r and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -805, 4, -13.\nAnswer: -805, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 1, k: 2, s: 2}. What is prob of sequence knv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 237324 divided by 258\nAnswer: 39554\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 16. Let p be (-2 + 11\/l)*4. Differentiate -2 - 2 + 1 - p*y wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(1*-2) - 1. Let d be (-75)\/6 - g\/(-2). Let c = 0 - d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*j + 8*j**2 + 38*j + (-j + 1 - 1)*(0*j - j + 2*j) - 163 - 159*j**2 + 163.\nAnswer: -152*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 - 559*j**4\/3 + 624962*j**3\/3 - 982*j + 2. Find k such that o(k) = 0.\nAnswer: 0, 1118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 14) in base 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 101333303?\nAnswer: -101333221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10596145 or -63576871\/6?\nAnswer: -10596145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 248.9 - -137.089\nAnswer: 385.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 60 = -24*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27590 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x - 4. Let m be (x\/(-3))\/((-2)\/6). Suppose 0 = -3*h + 2*h + m. Calculate the remainder when 2 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let m(f) be the second derivative of f**6\/180 + f**3\/6 + 3*f. Let t(y) be the second derivative of m(y). What is t(q(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/8 + 9*g**2\/8 - 15*g\/8 + 7\/8.\nAnswer: -(g - 7)*(g - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 + -4 + 6 + -14) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -431 - 2*y - 4*y + y**2 + 432. Give l(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-20))\/((-46204)\/(-6)). Let t = -1131875\/1894364 - i. Calculate the common denominator of 63\/10 and t.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*b - 4 = 0, -b = 2*m + 2*m + 12. Let p = 1 + 0. Put p, m, -3 in decreasing order.\nAnswer: p, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**6\/6 + 3*g**5\/5 - 53*g**4\/4 + 11*g**3 + 116*g**2 + 144*g - 10084. Suppose p(a) = 0. Calculate a.\nAnswer: -9, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/960 and 101\/112.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {z: 8, j: 3, t: 1, p: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.7 plus 1.051?\nAnswer: 301.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avvaaavavvvv. Give prob of sequence vavv.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 2644*o - 2594*o - 337 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744 and 279.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 19*k + 5. Let z(m) = 14 + 5*m + 7*m - 9*m. Let l be z(-3). Is 10 a factor of t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = 28. Let o be (-1155)\/(-693)*(-72)\/20. Let b(y) = 8*y**3 - 9*y**2 + 6*y - 4. Let d(k) = 9*k**3 - 10*k**2 + 7*k - 5. What is g*b(z) + o*d(z)?\nAnswer: 2*z**3 - 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (392\/42)\/((-16)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -31?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-3)\/(-42)). Let n(s) = 203*s**3 - 59*s**2 - 127*s - 24. Let d(v) = 68*v**3 - 20*v**2 - 42*v - 8. Let q(t) = p*d(t) + 2*n(t). Factor q(k).\nAnswer: -2*(k - 1)*(5*k + 2)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/5)\/v)\/(v*v\/(v\/v**(-13)))*(v\/v**(-7))**(-2\/15) assuming v is positive.\nAnswer: v**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/48*20\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0 + 1566*x**3 - 4*x**2 - 1565*x**3 + 2 - 5*x. Determine l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(19947\/(-4360))*(-24)\/10\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {h: 3, j: 1, b: 1, a: 3, w: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 42*t**2 - 5*t - 59. Let k(q) = -20*q**2 + 2*q + 29. Let h(w) = 2*c(w) + 5*k(w). Find the first derivative of h(a) wrt a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/((-45)\/5)*-189 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**11\/z))**47*(z**8)**47 assuming z is positive.\nAnswer: z**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -518116 divided by 4\nAnswer: -129529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*h**2 + 0 - 5\/2*h.\nAnswer: -h*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 4, -37.1, -181, 9\/5, -2\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 1. Let t be b(7). Let p = -9 + t. Suppose -s - s = -12. What is the smallest common multiple of s and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 - o - 1. What is the units digit of p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6379442*-3\nAnswer: 1.9138326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - ee?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36001031 (base 7) to base 12\nAnswer: 1092588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 924466725?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzm when three letters picked without replacement from juuuunmmuzmzmman.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/16 and 33\/346?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dso when three letters picked without replacement from ototdottttfsdodg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.572 - -99.865. What is j rounded to zero dps?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -23*q**2 - 2*q. Let i(d) = 94*d + 43*d + 2*d**2 - 138*d - d**2. Calculate -g(n) + 2*i(n).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 105?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -37*m - 20. Let j(a) = -7*a**3 + a**2 - a + 1. Let c be j(1). Let t(d) = -12*d - 7. Let o(y) = c*f(y) + 17*t(y). Is o(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2784 is divided by 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u - 11. Let s(z) = z. Let d(l) = k(l) + 6*s(l). Let n be d(-14). Suppose 0 = n*t - 76 - 92. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779589726 to the power of 1\/3, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6306\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*x**2 + 27 - 116 + 89 in the form t*x + p*x**2 + f and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1 = n, -5795*g + 52 = -5796*g + 5*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38 (b) -1 (c) -0.19 (d) -3\/2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, y: 1, o: 2, a: 2}. What is prob of picking 1 y and 3 b?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4683465.91 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -160238 != -160244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06587 + 0.56587. Let x = -0.07 - 3.93. Put -5, o, x, -0.05 in descending order.\nAnswer: o, -0.05, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-12)\/l)*l)\/l*l\/l**30*l assuming l is positive.\nAnswer: l**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -11*t + 22. Suppose -4*a + 4*q + 972 = 0, -t*q = a - 252 - 6. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*d + 5, 3*d + 2 = -5*n + 5. Suppose -5*z - 4 = 4*x - 38, n = -2*z + 4. Calculate the remainder when 10 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230016849 a multiple of 2812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -877 - -13c8?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4046*t**5 + 56*t**2 - 3891*t - 188.\nAnswer: -80920*t**3 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -43*q + 44*q - 20, 0 = 2*v - 5*q - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58831?\nAnswer: 58831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 9. Let w(t) be the first derivative of -t**5\/30 + t**2\/2 - 6*t + 23. Let g(f) be the second derivative of w(f). Calculate g(k(l)).\nAnswer: -8*l**2 - 72*l - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1700))*-1 - sqrt(1700)) + 1 + -5)**2.\nAnswer: 120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3 + 4*x**3 - 2 - 7*x - 2. Let t(v) = v + 3. Let b be t(-5). Let d(c) = -c**3 + 2*c + 2. What is b*r(h) - 7*d(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 18*p. Calculate w(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1709354 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32778408 divided by 6778\nAnswer: -4836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1385341 + 2660058. Let w = p - 1274716.80000096. Let c = -0.2 + w. Round c to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 1 n when three letters picked without replacement from {w: 1, n: 6, m: 1, y: 1, s: 1, p: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735\/2*v**2 - 183\/4*v**3 - 744*v - 24 = 0. Calculate v.\nAnswer: -4, -2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ufhhffhhfthhu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02174 in 1\/2, 18946, -4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 36\/3929?\nAnswer: 36\/3929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2502*q = -4934*q + 77824 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-g + 3*g - 4*g) - g - 2 + 2 - 4*g + 5*g - 3*g - 58*g + 14*g + 11*g.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44824 * 125.53.\nAnswer: 5626756.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (594\/(-36))\/((-3)\/46). What is the highest common factor of x and 345?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2541))\/(sqrt(77)\/(sqrt(44)\/sqrt(4))) - -3*(sqrt(300) + 3 + 2)) + -1.\nAnswer: 14 + 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 166*u**3 - u - 325*u**3 + 160*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, y: 3}. What is prob of sequence oo?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 31*y + 0*y + 17 + 17. What is the units digit of d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.45 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Let f = -2 - -3. Let y be 1 - f - (2 + -4). Solve 0 = -5*o - y*t - t - 14, -2*o + i*t - 18 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let d(r) = -2*r**2 + 2*r. Calculate 5*d(a) - 10*k(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.21 rounded to 0 dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -125, -299, -547, -869, -1265, -1735?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-822)\/(-2 - 4) - 1*4. Let w = 233 + -214. What is the greatest common divisor of c and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 21*f**2 + 21*f - 18. Let l be q(20). Suppose 4*p + 4*a - 54212 = 0, 27106 = l*p + 2*a + 2*a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96, 98, 100, 102, 104?\n\"Answer: 2*a + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 12:45 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f. Suppose -q + 96 = -f*q. Suppose 2*l + 12 = 3*l + s, 0 = -3*l + s + 36. Calculate the highest common divisor of q and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3009*r**3 + 5*r**2 - 5*r + 10. Let q(m) = 2402685*m**3 + 3992*m**2 - 3992*m + 7984. Calculate -3992*k(f) + 5*q(f).\nAnswer: 1497*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 673419317 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 13*p + 4. Let k = -57 + 47. What is the smallest common multiple of 6 and v(k)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + g**2 - 1. Let z(y) = 4536*y**3 + 1080*y**2 - 1080. Determine 1080*l(b) - z(b).\nAnswer: -6696*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5 - f + 2 + f**3 - 11 + 2*f**2 + f**3. Determine t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - k - 15*k + 665 = 0, 49 = -3*g - 17*k + 21*k - 124 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1574, -1580, -1588, -1598, -1610, -1624?\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 365.998 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 30729 = a, 8*x - 8*a = 3*x + 51196. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -c54783?\nAnswer: -c54784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:53 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4252 is divided by 135.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9769396 - 22.67.\nAnswer: -26.6469396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 12 - 56. Calculate the smallest common multiple of p and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 18*b. Let h be x(2). Let d(w) = -w**2 + 14*w - 15. Let a be d(13). Let f = a - -4. Solve h = -4*s - 5*q, 20 = -4*s + f*s - 3*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 10\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**2 + 8*a + 7. Determine h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -19297000 to the nearest 100000.\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11695762*b**2*v**2*x**3 - 5*b**2*v**2*x + 223*b*v**2 - 11960*b*v*x - 8*b*x**3 wrt b?\nAnswer: 23391524*v**2*x**3 - 10*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1126979?\nAnswer: -112697.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2396*b**2 - 2387*b**2 + 7125*b**2 - 2369*b**2. Let m(v) = -4*v + v + v. Determine m(t(n)).\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 55 - 59 = 2*j, 3*n = -8*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/(-20))\/3*395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l**2 + 36*l**2 - 12327*l**3.\nAnswer: -12327*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((1 + 0)\/(-1)). Is -1*y\/(-2)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(5 - 2 - 4)*(4*m**2 - m**2 - m**2) - m**2 + 2*m**2 - 6*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -116.\nAnswer: -18\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2486 - -2565. What is the least common multiple of 5 and u?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 7, 20, 37, 58, 83?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -861 (b) 290 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71224, 143418, 215612, 287806, 360000, 432194?\n\"Answer: 72194*p - 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 196*k - 764. What is r(-192)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, -97.54, 0.08, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, 0.08, -4, -97.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -5 + 0*s**4 + 0*s**3 - 4\/5*s**5 + 0*s + 3*s**2. Find the second derivative of o(f) wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-2)\/4). Let d be (1 - o) + 8 + -4. Suppose -d*k - k = -8850000. Round k to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-322 + 582 + 38)*(0*d - 2*d + 5*d + (-d + 0*d + 2*d)*(0 + 1 + 0))*(-2*d + 0 + 0)*(5*d - 2*d - 2*d) to the form a*d + g*d**2 + x*d**3 + c and give x.\nAnswer: -2384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6556 - 2162 = 88*z + 2986 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.67 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v - 5 + 12*v**2 - 7*v + 21*v**2 - 32*v**2 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -22. Let s be (g\/(-3))\/(140\/(-60)). What is the third smallest value in 3\/5, s, -1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425 and 646.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1022, -2061, -3112, -4181, -5274, -6397?\n\"Answer: -v**3 - 1032*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 - 394 = 90*u - 558*u + 320. Determine a, given that 0 - 5\/2*a + 13\/2*a**4 - u*a**5 + 11\/2*a**2 + 33\/2*a**3 = 0.\nAnswer: -1, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i = u + 13*i - 14, -2*u + i + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1910 and 137850430.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.5599 years in centuries?\nAnswer: 1.395599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 11. Let q(m) be the second derivative of m**3\/6 - 2*m**2 + 2*m. What is -2*f(v) - 7*q(v)?\nAnswer: -v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53812.37 times 4?\nAnswer: 215249.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5656 and 38178?\nAnswer: 152712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7446 and 55728346.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11064 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*f - 2*f - 24*f**2 - 165*f**2 + 0 + 4*f to x*f**2 + n + l*f and give x.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/(-305) + (-3)\/30 + 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0, -0.304 in descending order.\nAnswer: 27, 0, -0.304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3670 + 3670 + 10*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.0857625 + 95.38577602. Let n = -50.3 + j. Round n to seven dps.\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*k - 28 = 0, -o + 3*k + k = -20. Suppose -3*l = 4*a - 19, -3*l + 4*l - 1 = 4*a. Sort a, 8, -3, o.\nAnswer: -3, a, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 124047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 16 - 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 1865 = -185. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27\/2 - -11. Let m = 23\/66 + -1\/66. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*k + 12*k - 19 + 17)*(0 + 1 - 3).\nAnswer: -120*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14102)\/(-8))\/((-21)\/588 + 6\/21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 327105, 2616865, 8831925, 20934933, 40888537, 70655385, 112198125, 167479405?\n\"Answer: 327108*n**3 + 2*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145622, 0, -4, 2, -95, -1 in descending order.\nAnswer: 145622, 2, 0, -1, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-12 + 33) - -23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838, 1677, 2516, 3355, 4194?\nAnswer: 5033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/274?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g. Suppose 2*c - 6*c = 12. Let t(f) = f + 2. Let p be t(c). Let v(j) = j**2 - 1. Let x(w) = p*h(w) - 2*v(w). Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -53. Suppose v + 3*v + v = u. Solve 3*p - 2*x + 2 = v, 0*p - 4*x + 10 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**4 + 6*f**3 + 14*f**2 - 18*f. Let z(d) = 8*d**4 - 13*d**3 - 27*d**2 + 37*d. Let u(l) = -5*s(l) - 2*z(l). Factor u(o).\nAnswer: 4*o*(o - 2)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/196 and 3\/246764.\nAnswer: 246764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -881, -11, -4, -1 in increasing order.\nAnswer: -881, -11, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/(k\/(k*k**1)))**(-43)\/(k**(-1)\/k*k*k*k\/k**(-3)*k*k*k*k**(-6)*k*k**4\/k) assuming k is positive.\nAnswer: k**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3291498 minutes?\nAnswer: 19748.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1501629 and 30432.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 674*b + 4032. Let a be w(6). Solve 15*v - a = 19*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*(u**(-12)*u)\/u)*u))**(1\/8)\/(u**7\/u)**(2\/15) assuming u is positive.\nAnswer: u**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 5. Let t(x) = 4. Calculate -4*s(u) - 5*t(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5835685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3681.784924 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (840\/(-1400))\/((-450)\/210)?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2)\/((-48)\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000239070457 to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 11)*(r**4 + 7 - 2 - 2) to the form b*r**4 + w*r + x*r**2 + u*r**3 + h and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.22 + -0.22. Let f be (-949)\/(-120) - 244\/183. Let r = f - 31\/5. Sort -0.1, r, q in increasing order.\nAnswer: -0.1, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -45, -4, 22, -1 in descending order.\nAnswer: 22, 3, -1, -3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-36) + (-112)\/(-18) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 2457?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -128*g - 2832. Calculate z(-22).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 10*x**2 + 3*x - 1. Let u be h(5). Solve 0 = u*z - 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -324? (a) 2\/39 (b) -6\/23 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 433 or 197648?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -20. Let i(o) = o - 7 + 4*o + 3*o - 5*o + 3*o**2 + 6*o**t. Is i(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(486)*3 + -3*sqrt(486)*-1)\/(2*-5*(sqrt(3) - sqrt(363)*-4)))**2.\nAnswer: 18\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pphh when four letters picked without replacement from phoopohhpph?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*q**2 + 41 - 20 - 910*q**2 - 21.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from assskszsu?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226 + 84. Let h = 289 + m. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 6, 2337, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.23745 and 0.168.\nAnswer: 21.40545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 594\/(-792) + 112\/3648*-3.\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/11 + 10*q**4\/11 + 10*q**3\/11 - 90*q**2\/11 + 72*q\/11 = 0. Calculate q.\nAnswer: -3, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 59)*6\/2. Let q = 1220\/7 + j. Let g(m) = -m**3 - m**2 + m + 1. Let s be g(0). Which is the nearest to s? (a) q (b) -1 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -x + 2*x. Let t = -3 + x. Let r(o) = -o**2 + 7*o + 3. What is the tens digit of r(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**2 + 9*a**2 - 21*a**2 + 25*a**2 + 23*a**2. Let h(f) = -f**2. Determine c(h(z)).\nAnswer: 46*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) - (-234)\/(-36). Let q be 2 - 11 - -1*1. Calculate the common denominator of 1\/18 and 20\/(-126)*-15 + (q - p).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71200655?\nAnswer: 5, 29, 491039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 506 = 1334. Let m be (46\/a)\/((-21)\/12 + 2). Factor -1\/2 - m*o**2 - 3\/4*o**3 + 7\/4*o.\nAnswer: -(o - 1)*(o + 2)*(3*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -652*l + 5862. Determine n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3))**(4\/15)\/(m*m**8)**(-1\/41) assuming m is positive.\nAnswer: m**(733\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 324*y**4 + 3*y**3 - 2268*y**2 - 1965*y - 18 = 0.\nAnswer: -2, -1, -1\/108, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -707587559?\nAnswer: 707587555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z + 40. Suppose m - 19 = -f, f - 5*f = -5*m - z. Solve -2*b = 3*o + b - 15, 3*o = b + f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 5. Let a = 8 - 8. Suppose a*s = 5*s. What is k(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2*w + 202*r**2 + 10*r*w**3 with respect to w.\nAnswer: 2*r**2 + 30*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.318971 litres in millilitres?\nAnswer: 6318.971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2827*j + 2827*j - 9*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*b - 42. Let x(s) be the first derivative of 5*s**3\/3 - 8*s**2 + 2*s - 296. Is x(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2 - 8*h + 6 - 2*h**3 + 3*h**3 - 5*h**2. Let v(r) be the third derivative of -r**5\/60 + 13*r**4\/24 - 4*r**3 - 5*r**2. Let d be v(10). Give t(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(5 + sqrt(448)*4 + -1*-1*sqrt(448)))**2 + -1.\nAnswer: 400*sqrt(7) + 11227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4 + (-4845)\/(-2 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1329 + 2072. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938 divided by 36.\nAnswer: -469\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.58 in 2\/17, -0.5, -1\/4, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 + v**2 - 2. Calculate c(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013054 to six dps.\nAnswer: -0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -541*w**2 - w + 3. Let m(f) = -1623*f**2 - 4*f + 10. Let n(a) = -7*k(a) + 2*m(a). Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 57*o + 3*o + 13*o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(1*(-2)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/136 and -23\/22?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-63)\/(-36) - 10\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 7*t - 134 = 0. Let b = t + 70. Let f(o) = 2*o - 1. Give f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 3. Suppose 14 = o - 3*j, -2*j + 3*j + 3 = 2*o. Suppose -v + 4*n = 20, 13*v = 8*v + 2*n + 8. Sort z, o, -5, v in increasing order.\nAnswer: -5, o, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124400 is divided by 173.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 3*a**2 + 48*a**4 - 191*a**3 - 46*a**4 - 2 + 193*a**3 to f*a**2 + y*a**3 + z*a**4 + k + l*a and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/27195 and -49\/2.\nAnswer: 54390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:36 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1002 - -990. Let t = 5\/22 - 311\/110. Let l = t + 57\/20. Which is the third biggest value? (a) f (b) 3\/2 (c) -3\/2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (78\/(-15))\/(24\/5 - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6293788993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/5)\/z)*z)\/z**(-2)*(((z\/z**(-5))\/z)\/z)\/z*z*((z**3\/z)\/z)\/z)**48 assuming z is positive.\nAnswer: z**(2112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10885 is divided by 639.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/11, -10\/67, 5, 1\/3 in ascending order.\nAnswer: -10\/67, -1\/11, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -14\/17651217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208 + 298. Round w to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86.06 - 86. What is q rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121235966 and 4315.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-2 - (sqrt(38)\/sqrt(2) + 5))**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22988 + 24256. Solve k*r - 13 = 1281*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - (215 - (180 - 91))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5964041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 33*y = -78 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u + 294 = -58*u. Calculate the highest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8406137 less than 0.5?\nAnswer: 8406137.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4*z**2 - 4*z - 3. Suppose -18*l + 72*l = 4330 + 3359 - 2775. Calculate the remainder when l is divided by u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 8*b - b)*(0 + 6 - 2)*(3*b**2 - 3*b**2 - b + b**2) to the form l + c*b**3 + g*b**2 + f*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/90*((-1)\/(-2))\/1)\/((-7040)\/(-6400))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -133*m**3 - 3*m + 13*m**3 + 4*m + 13 - 12. What is the units digit of d(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-2)\/((sqrt(24)\/sqrt(2))\/sqrt(2) + sqrt(6)))**2 + ((sqrt(90)*1 - sqrt(90))\/sqrt(5))\/(sqrt(9) - (1*sqrt(18)\/sqrt(2) + sqrt(9))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 17 = 47. Suppose 2*u = -3*u + p. Suppose 4 = u*m + 19, -2*m = 4*v - 522. Is 32 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*a**3*k**5 + a**3*k**2 - 20*a**3 + 3*a**2*k + a**2 - 2*a*k**2 wrt k?\nAnswer: -2600*a**3*k**3 + 2*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 184 = 2*s, -27751 = 77*r + 5*s - 31206 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7852, -15704, -23520, -31288, -38996?\nAnswer: -46632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v - 2. What is the units digit of o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222547 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24591*h**2*w + 4*h*w + 151*w - 4 wrt h.\nAnswer: -49182*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.428 - -3.427999964. Round x to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25323584021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11284556 and 20276?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*q + 12 = 5*x, 7 = x + 2*q. Solve 3*m = 5*m, -2*m + x = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 108*s - 40. Calculate o(11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, x: 1, p: 5, e: 5}. What is prob of picking 1 x and 1 p?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11 and 3\/270*686 - (-4)\/(-10).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 - r + r)*(0 + 4 - 6) + 11*r**2 - 11*r**2 - r**3 to w*r**2 + h*r**3 + j + i*r and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 0*i**2 + 0*i**2 + (8 - 8 + 20*i**3)*(-4 + 5 + 0) + (-3 - 3*i + 2*i + 0)*(-3 + 1 - 4)*(5*i**2 + i**2 - 5*i**2).\nAnswer: 28*i**3 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - m + 8. Suppose 0*q + 15 = -5*q. What is the least common multiple of q\/((-3)\/3)*2 and t(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4700\/39 + 362\/3. Solve c + 0*u - 2\/13*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -59. Is (z\/20)\/((-2)\/2984) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6783238 to the power of 1\/2, to the nearest integer?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 6*w - 402, 4*u - 5*w - 1009 = 512. What is the remainder when u is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 230?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2 - 70*x - 70. Determine s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54277944 - 667*f**2 + 54277944 + 672*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25486*b + 295 + 184 - 479.\nAnswer: 25486*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y - 2. Suppose 3*l + 25 = 2*j, -j - 4*l - 15 = -0*j. Let s = 7933 - 7926. Let o(b) = 9*b + 1. Give j*x(u) + s*o(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*m - 1)*(0 + 1 - 7)*(5 + 22 + 13) to the form s*m + h and give s.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j - 299 + 126 = -2294 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.98 + -51. Let c = -42 - -38. Put c, 0, 0.3, k in decreasing order.\nAnswer: 0.3, 0, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11 + 1 = 3*z, 3*z - 3 = -2*o. Solve -t = -4*m - 1, 0 = -5*m - 2 - z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*u = -301, 0 = -6*w + 5*w + 4*u + 152. Suppose -4*l = 76 - w. Suppose -15*v = -l*v + 147. Calculate the remainder when v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/208 and -145\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 - 77*o + 173. Calculate the remainder when u(17) is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a - 3 + 5 - 2 to the form p + z*a and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -398402*k**2*u**2 - 2*k**2*u - 452*k**2 + 3*k*u**2 + 62*k*u + u - 4 wrt u?\nAnswer: -796804*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*g = -g + 11, 3*g = 4*j - 17. Suppose l = -j*t - l + 132, -3 = -3*l. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-215)\/(-43))\/(6\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425404 divided by -6?\nAnswer: -404234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 41 + 31 - 4*p + 2*p - 72. Let n(a) = 12*a**2 + 6. Let c(o) = 13*o**2 + 7. Let t(x) = -6*c(x) + 7*n(x). What is u(t(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888654 and 116532?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + 9 - 17 - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -4\/7 (c) 0.4 (d) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 2, r: 1}. Give prob of sequence vo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-1 + (6 - -4). Find the third derivative of 5*m**2 + m**6 - 4*m**z - 3*m**2 + m**2 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57219.9316 - 57230. Round o to 1 decimal place.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 divided by 2?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 l, and 1 n when four letters picked without replacement from livililvnl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*i + 51*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116424 divided by -19404?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*s + 6502 = -9767, -s = -3. What is the greatest common factor of 525 and z?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5756 + 1396 = -373*n - 4038 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307*i**5 + 2*i**4*p**2 - 391*i + 3*p**2 wrt i.\nAnswer: 6140*i**3 + 24*i**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (43 + -12) - (5 - 50)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljx when three letters picked without replacement from {j: 2, l: 1, s: 2, o: 2, x: 1, v: 4}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**3\/6 - 27*i. Let o(a) be the third derivative of -a**5\/60 + 2*a**2. Calculate o(k(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 4, h: 1, c: 6}. What is prob of picking 2 h and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 5*x**7\/6 + 5*x**3\/2 + 8*x + 2. What is the second derivative of p(f) wrt f?\nAnswer: 700*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 - 8 = 0. Let y(d) = d - d**3 + 1011 - 3*d**2 - 1011. Let n be y(a). Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448884312 divided by 3.\nAnswer: 149628104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*y**2 - 8*y**5 + 15*y**5 + 20*y**3 - 7*y**2 - 4 - 3*y**5 + 1 wrt y?\nAnswer: 240*y**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((-48)\/4 - -5). What is the nearest to -2 in -1\/2, v, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*j**3*n - 3*j**3 - 2*j**2 + 283*j*n wrt j?\nAnswer: -60*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6836, 6837, 6838, 6839, 6840?\nAnswer: 6841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*s**2 + c**3 - 450*c**2*s + 5*c**2 + 12571484*c*s**5 - 2*c*s - 3*s - 3 wrt s?\nAnswer: 2*c**3 + 251429680*c*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from {d: 2, l: 1, b: 2, n: 2, t: 2, z: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:08 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-189297)\/36)\/19*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*m + 8, 0 = 4*m - 5*l + 8 - 1. Let f(z) = 2*z - 4. Determine f(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1812522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**2\/2 - 4*f + 2. Let v be m(-3). Calculate the remainder when (-12 + 2)*v - 0 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688 (base 16) to base 15\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j**2 - 3*j - 13. Let r be z(0). Let y = r + 19. Solve -4*c + 10 = -w - w, -4*w - y = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:30 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 32160*h - 46528064.\nAnswer: -4*(h + 1892)*(h + 6148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8814 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -951664*u**2 - u - 1. Let t be h(1). Let i = 563666 + t. What is i rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2157897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -16\/7*n**2 + 4\/21*n**3 + 1\/35*n**5 - 25*n + 0 + 5\/21*n**4. Factor t(j).\nAnswer: 4*(j - 1)*(j + 2)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3534 and -0.339536 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 divide 56679833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-11 - 0) + -13 + 2 + 15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 - (-2 + 0). Let m = -4 - 0. Let s = m + 11. Solve l*n - 1 = s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 6. Let s be a(-6). Solve y = -3*y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(2\/86514). Let i = -288441\/20 + y. Calculate the common denominator of -89\/12 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 - 43 = 0. Suppose -24 = -z*u + 7*u. Solve 5 = u*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d**3 - 8*d**2 + 12*d + 4. Let z(x) = -13*x**3 - 17*x**2 + 23*x + 8. Let m(p) = 5*a(p) - 3*z(p). What is m(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466859 is divided by 5834.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 - 4*j - 3. Let t be h(5). Let i be t*1 - (6 - 6). Let f = 0.1 + 0. Which is the closest to f? (a) 2\/11 (b) 3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or 4683?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + (30 - 34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/10 + 8*j**3\/5 + 13*j**2\/5 + 2649. What is l in i(l) = 0?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l**3 + 4. Let m = -58 + 54. Let v(p) = 8*p**3 - 3. What is m*v(f) - 3*n(f)?\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + q = 13, -2*z - 3*q = -119 + 131. Let b(u) = -2*u**2 - 20*u - 1. Let k(m) = -3*m**2 - 39*m - 1. Give z*k(y) + 5*b(y).\nAnswer: -y**2 + 17*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 4)*(-1 + 0 + 2) - 5 - 1 + 4 - 2 - 2 + 2)*(2*q - 28 + 28) + 2*q + 3*q - 3*q + (-2 - 2*q + 2)*(-1 - 5 + 4) + 3*q + 2*q - 6*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 10*z**2 + 3*z - 2. Calculate f(7).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249802053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7223.9 and 11.\nAnswer: -79462.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 6989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:13 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004443 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6689.53669 * -3.\nAnswer: 20068.61007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 75 + 4*i**3 + 3*i in the form a + v*i + r*i**3 + l*i**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, b: 10, p: 3, e: 2}. Give prob of picking 1 e and 1 z.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62561, 124968, 187375?\n\"Answer: 62407*u + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6280, 6251, 6198, 6109, 5972, 5775, 5506, 5153?\n\"Answer: -2*y**3 - 15*y + 6297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Is y != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28800\/4320)\/(4\/7*((-14)\/(-3))\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 3*a**2 + 4*a + 4. Let t be k(-2). Suppose t = 5*x - x - 4, -5*x = 3*g + 1. What is the least common multiple of 2\/g - -1 - -10 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16777*r**3 + 21919*r wrt r.\nAnswer: 100662*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6*r - 2*t - 10 = 0, -3*r - 2*t = 10. Let m be (r - -3) + (-1 - -1). Let c(l) = m*l**2 + 0 + 0. Let u(f) = -2*f. Determine u(c(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 14*m = -56 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10713?\nAnswer: 3, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + h**2 + 2*h**2 + 15)*(3 - 3 + 2*h).\nAnswer: -2*h**3 + 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + 3.8. Let s = u + -3. Let h = 3.2 - 3. Is s equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 10*m + 20. Calculate x(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 175283?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let g(l) = l**3 + 3*l**2 - l - 1. Let f be g(-3). Let x(u) = -f*u + 5 + 2 - 7. Calculate k(x(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 243*x**3 - 9*x - 5. Let j be (1\/2)\/(0 - (-4)\/72). Let i(m) = -61*m**3 + 2*m + 1. Let c(z) = j*i(z) + 2*p(z). Differentiate c(w) wrt w.\nAnswer: -189*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 - 117*d**2 + 17*d - 737. Determine n(39).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-13)*(6 - 161\/28). Which is the closest to 4? (a) -3 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 + 8.3. Which is the nearest to 1? (a) t (b) 2 (c) 25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (18\/(-51))\/3) + 3. Let x = -725\/2 + 362. Let y(r) = -2*r + 2. Let n be y(3). Which is the third biggest value? (a) n (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -424 + 4528. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f. Let k(q) = -q**3 - 11*q**2 - 10*q + 2. Let i be k(-10). Let p(c) = 12*c**2 + 4*c**2 - 8*c**2 + 11*c**i. Determine p(j(y)).\nAnswer: 76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*z - 436 = 0, 3*h - 1070 = 5*z + 258. Suppose -17*d + 1597 - h = 0. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -550893 - 1549*h + 550893 to the form c + m*h and give m.\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 2, q: 2, b: 4}. Give prob of picking 1 n and 1 q.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 - 11*y + 2. Let c(p) = -2*p**2 + 5*p - 1. Give 13*c(d) + 6*m(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3994, 2283, 562, -1175, -2934, -4721, -6542?\n\"Answer: -z**3 + z**2 - 1707*z + 5701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 28 = -6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 432*f**2 + 428*f.\nAnswer: 4*f*(f + 1)*(f + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3110036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 5, l: 3}. Give prob of picking 1 h and 2 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 2449781?\nAnswer: 17148467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 108*a.\nAnswer: 4*a*(a - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 - 2*t**4 + 4*t**3)*(1 - 4 + 0)*(1890*t - 3312*t - 4802*t).\nAnswer: -37344*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13036*v - 26068*v + 13034*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -175852 divided by 43963\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 376 + -375.9854. Let q = y + -0.0786. Which is bigger: -0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or -121?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/8 - -7\/8. Which is the closest to 0? (a) 0.1 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*r - 100 = 352, -2*f + 234 = -5*r. Suppose 0 = 3*b - 0*b - 60. Suppose -b - 50 = -5*s. What is the greatest common factor of f and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 4, s: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.4 from 10.3.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 25180324*a**4 - 75530936*a**3\/3 - 30107*a**2\/9 - a\/9 = 0.\nAnswer: -1\/15054, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(8)*4)\/(-6*(sqrt(5) + sqrt(245))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 30158.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*o**5\/9 + 34*o**4\/9 + 268*o**3\/9 + 24*o**2 - 16*o = 0. What is o?\nAnswer: -2, 0, 3\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 3*k + k. Let d be r(-2). Is 19 a factor of 114\/8*32\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122054081033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 and -52\/7279?\nAnswer: 65511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 10. Let b be m(-7). Let f be 1 - 5 - 2*(-13)\/2. Let t be ((-3)\/(-4))\/(f\/36)*3. Calculate the greatest common divisor of b and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 160*q**3 - 12.\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -42. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/24 - 31*f**2. Let o(x) = -4*x. Calculate p(o(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**1*i))\/i*i*i)\/i**(-2)*(i*i**1)**(1\/9)*(i*i**2\/i*i)**36*i**5\/i**(-4) assuming i is positive.\nAnswer: i**(1073\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -79, -116, -173, -256?\n\"Answer: -j**3 - j**2 - 13*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -13*w**5\/30 - 37*w**2. Let c(n) = -3*n. Give m(c(b)).\nAnswer: -234*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/48*52)\/6.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*h = -109*h + 3*c + 20, 4*h - 58 = c. Sort h, 5, 4 in increasing order.\nAnswer: 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5434)\/572)\/(3\/6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 1635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1620*h - 25*h**2 + 814*h + 814*h + (1 - 1 - 2*h)*(4*h + 2*h - 3*h) to the form k*h + t*h**2 + z and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1206, -4679, -10166, -17421, -26198, -36251, -47334?\nAnswer: -59201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -15. Suppose 4*x = -2*c + 110 - h, 99 = 3*x - 5*c. Calculate the lowest common multiple of 14 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(sqrt(700))**2 + 3 + sqrt(7) + (sqrt(28) - sqrt(7))) + -1.\nAnswer: 12*sqrt(7) + 12617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 55149 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8634 - -259049\/30. Let i = -185 + 6492\/35. Find the common denominator of i and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 1 - 51*b**4 - 9*b**4 + 28*b**4 - b + 2*b in the form o*b**3 + j*b**2 + r*b + t + n*b**4 and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {y: 1, k: 3, m: 3, n: 3, v: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2448260843 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 - 566*k. Give t(64).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 3 - (-2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103 = 199*q + 108 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 10?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 2*m + 2*m)*(m + 3*m - 3*m) - 19 + 19 - 9*m**4.\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58296.\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2362 + 16536\/7. Solve -g*i**4 - 2\/7*i**5 - 2\/7 + 4\/7*i**3 - 2\/7*i + 4\/7*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396834 is divided by 2525.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13411380 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 78*s + 790. Let p be y(9). Solve 0 = -14*h - p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17720632.\nAnswer: 2, 37, 131, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97027.02 micrograms in grams?\nAnswer: 0.09702702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1536 and 42.\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 25861 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -22988*f - 482751. Determine o(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 6*l - 8*l - 15, 5*j = 5*l + 30. Suppose 0 = -3*p + 4*b + 39 + 4, -3*b + 62 = 5*p. Let t = p + l. Solve k - 8 = 3*k, -3*k = 5*s - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 + 6*d. Let g(v) = 9*v**2 + 11*v. Let m(p) = 3*g(p) - 7*q(p). Let l = 733 + -742. Give m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -5*g - 29. Let l = 23 - g. Calculate the remainder when 7 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - 6) + 7 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100203132 (base 4) to base 12.\nAnswer: 332a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-37)\/(-4) - 2\/8. Suppose -w - h = 2*n, w = -n + 1 - 5. What are the prime factors of (w + 0)\/((-2)\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10568146717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2311 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = -53*z + 292 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Suppose -5*t = 2 - 7. Let b be (14*t)\/(-5 - -7). Solve b = 2*o - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p**2 + p**3 + 84*p**2 - 27*p**2 - 20*p**2 + 0*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -221, -771, -1647, -2849, -4377, -6231, -8411?\n\"Answer: -163*n**2 - 61*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/10043 and 61\/1162?\nAnswer: 140602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9750 - 6873. Let t = j - 1622. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688967804?\nAnswer: 2, 3, 131, 457, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51381 and 9801?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)\/a*a*a\/(a*a**(-5)\/a)*(a**(-1))**18)**(2\/3) assuming a is positive.\nAnswer: a**(-212\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a. Let g(i) = i**3 + i**2 - i + 9. Let m(l) = g(l) + 5*q(l). Let y be (6*(-30)\/48)\/((-9)\/(-168)). Let w be 20\/y - (-94)\/(-14). What is m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5716*i - 17083*i + 5707*i + 5687*i.\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8*776\/32 and 10*(1 + -1 + (-481)\/(-296)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*o - 987 - 123, 5*o + 2760 = 5*d. Calculate the highest common divisor of d and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2\/39, -0.2 in decreasing order.\nAnswer: 3, 2\/39, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-6)*(-3)\/2. Let a = 10 - o. Suppose a = -i - i. Solve 4*k - 5*k - 2 = i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-1430)*1)\/(8\/264*-3).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(957\/(-110))*(-72)\/(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118159236 to the power of 1\/3, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*s = -76, -3*c + 228 = 6*s - 10*s. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 175175.\nAnswer: -2\/175175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1851135*i**2 - 310*i. Let b(j) = -j. Determine b(r(f)).\nAnswer: -1851135*f**2 + 310*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-72)*-456*(-1)\/(-3). Solve 71 + 24 = -d*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:10 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -22 (c) -0.242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(25\/(-2200)*11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -1 - (1 + 2). Sort 4, 3, o in descending order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 460 = 404. Solve 3*a - v*a + 12 = 0, 0 = 4*c - 3*a + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 4. Let f be (4\/(-6))\/((-20)\/(-90)). Suppose b - 3*j = 21, j = -4*b - 2*j + 54. Let d(m) = -m - 2 - 7*m - 6*m + b*m. Give f*q(x) + 5*d(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.3762 centuries to millennia.\nAnswer: 3.83762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (6 - 0 - 11)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 9. Let b(f) be the third derivative of f**8\/10080 - f**5\/30 - 15*f**2. Let y(p) be the third derivative of b(p). Give d(y(i)).\nAnswer: 4*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 346 - 14 = 0. Let z = u + -62. Let n = z + -21. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 319?\nAnswer: -4\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vviv when four letters picked without replacement from ivviiiiviviviiiiivi.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23362387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*d = 7*u, 3*u + 2 = 2*d. Suppose -u = x - 1. Suppose -5*o - 2*k + 0*k + 11 = 0, -4*o - 2 = -2*k. Put x, o, 3 in decreasing order.\nAnswer: 3, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27120 is divided by 5655?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6\/7)*p*p\/((p**(-6\/5)*p)\/p)*p\/(p*p\/(p\/(p\/p**3)))*p**(-5\/9)*p*p assuming p is positive.\nAnswer: p**(1823\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 86192160\/17 = 5070127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y + 9. Let f(r) = 7*r - 14. Determine 5*f(m) + 8*v(m).\nAnswer: -5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 41?\nAnswer: 8\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1241.3 + 1241. Let s = -14 + 22. Let b be s\/(-4) + (-48)\/(-26). What is the nearest to -0.1 in a, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/12 - (-80)\/60. Suppose 5*r = 8 + 12. Solve f + r = -u*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/9 + 8*i**3\/9 - 18*i. Factor g(j).\nAnswer: 4*j*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115251677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 + 62175*g\/7 + 21515796\/7.\nAnswer: (g + 348)*(g + 61827)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 3. Let y(t) = 2*t + 8. Let h(f) = 8*u(f) + 3*y(f). Let l(a) = -10*a. Give l(h(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z**(1\/30)*z)))**6*(z**(-6\/5)\/z*z)\/z*z**(-6\/23) assuming z is positive.\nAnswer: z**(-52\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 16 + 5*z + 219*z**3 + 4 - 10*z.\nAnswer: 219*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3832 = -190*f + 5922 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 17, 44, 91, 164, 269, 412?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*b + 1. Let q(s) = -2*s**3 + 1. Let d be q(b). Let c be d + 3*3\/(-3). Solve 2*i + 0*i = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 25 = 10*a. Solve a*m = 3*g - 14, -m = g + 3 + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24083027 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6835.86 to the nearest 10.\nAnswer: -6840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(7\/(-16)*1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137.37 - 136. Round f to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**3 + 13*b**2 + 49*b + 80. Calculate the remainder when k(-8) is divided by 149.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (20 + 11 + -19) - -23.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 31. Let a(x) = x + 6. Let f(b) = -11*a(b) - 2*r(b). What is the units digit of f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 108*z - 86. Determine c(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4500 - -4509. Let f be (1\/1)\/(4\/16). Solve -f*t + 1 = z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)\/(t*t**9\/t))**16\/(((t*t\/(t\/(t**(-2)*t)))\/t)**10\/(t**(-2))**(2\/161)) assuming t is positive.\nAnswer: t**(-6122\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6456590, 6456593, 6456596, 6456599, 6456602?\nAnswer: 6456605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5794.4 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/17)*v\/(v\/((v**(-15\/8)*v)\/v)))**28 assuming v is positive.\nAnswer: v**(-889\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 60*y**2 + 6*y - 1. Let u be j(1). Factor 163*p**2 + u*p + 165*p**2 - 323*p**2 + 60.\nAnswer: 5*(p + 1)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*t, -4*v + 7 = -10*t + 13*t. Solve -5*u - 37 + 1 = v*b, -3*u - 28 = 4*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26083, -158, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 12, o + 7 = -4*o + 3*g. Let r(p) = -p**2 + 6*p + 4. Let b be r(6). Solve 5*z = -b*u - o - 14, 3 = -2*u - z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + q. Let c(s) = -6167*s + 6167*s + 11*s**2. Determine c(a(z)).\nAnswer: 44*z**4 + 44*z**3 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 837 + 6114*w**3 - 12230*w**3 + w**2 + 1692 + 6115*w**3 to the form p*w**2 + a*w + o + v*w**3 and give o.\nAnswer: 2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11724879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205252 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*w - 228, j - 3*j - w - 113 = 0. Let s = -50 - j. Let g(u) = u**3 - 7*u**2 + 5*u + 2. Determine g(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 203*c - 639. Is 13 a factor of k(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526957026 divided by 225003?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + n - 14*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.79151l in millilitres?\nAnswer: 91791.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3*o**2 + 53*o + 235. What is v(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -50, -93, -156, -245, -366?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6092308358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in -0.2, 1\/4, -1\/2, -2\/33?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553 - 504 = -7*j. Let b(i) = -2*i - 10. Calculate b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 22*k - 6. Calculate v(12).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3150\/20137 - -4\/1549. Which is the fourth smallest value? (a) i (b) -19 (c) 5 (d) 2\/3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a84c (base 13) in base 10?\nAnswer: 537484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1055508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -12. Suppose -15*b + k*b = -16632. Suppose -w = 6*w - b. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3027 - -3028. Solve m = -2*b - 4*j - 1, 3*b = -5*j - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -i + 29, -2*h + i - 13 = -4*i. Let w be -2*2\/8*-2. Solve b - h*b - w = 4*t, -t - 16 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1765 - 1763 + 280*r + 3531)*(0*r - 5*r + 2*r + (-1 + r + 1)*(1 - 3 + 0))*(0 - 2 + 3)*(3 - 1 - 1) as x + i*r**2 + a*r and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -542, -2495, -5768, -10361, -16274, -23507?\n\"Answer: -660*h**2 + 27*h + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32886957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 871924000 rounded to the nearest 1000000?\nAnswer: 872000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 25712183\nAnswer: -20569746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 41 = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 863316 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 449*t - 449*t - 4*t**2 - 6*t**3. Let m(y) = y**3 + y**2. Let h = 0 + -4. Let c be h\/(-14) - (-26)\/7. Calculate c*m(l) + x(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*b + 43, 1 = s + 4*b - 6*b. Solve s = -i + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 divided by 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcymhcmlzzzmcchmzmmm. Give prob of sequence mcc.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 + 36*t + 72 = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3596639574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:23 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/3)*x*x))**(-1\/68) assuming x is positive.\nAnswer: x**(5\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/8)\/((-5)\/50). Let r(m) = -2*m**3 - 3*m**2 - 5*m - 6. Let y(t) = -2*t**3 - 2*t**2 - 4*t - 5. Calculate o*y(q) + 4*r(q).\nAnswer: 2*q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 347036316 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + 2*j**4 + 10*j**4)*((-1 + 2 + 1)*(2*j + 1 - 1) + (-1 + 3 - 3)*(2*j + 0*j - j)).\nAnswer: 27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 7*j**2 - 8*j**2 + 2*j**4 - 5*j**2 + 3*j**3 in the form z + p*j**2 + x*j + v*j**4 + o*j**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20356 (base 7) to base 5.\nAnswer: 124430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*((-2)\/1)\/((-24)\/(-6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27937704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-2)\/(-1)) + 3. Suppose -s = -3*o - n, -12 = -2*s - 2*s + 3*o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*((-285)\/20)\/(-1). Suppose 0 = h - g - 70. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3375\/(-1080))\/((-3995)\/(-2256)).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -323, -326, -329, -332?\n\"Answer: -3*u - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxl when three letters picked without replacement from {o: 1, n: 1, l: 1, x: 1, w: 2, k: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 39, 2, -65, -1 in descending order.\nAnswer: 39, 15, 2, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449106, -1796502, -4042166, -7186104, -11228322, -16168826, -22007622, -28744716?\nAnswer: -36380114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718366 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2513, -4531, -6549, -8567, -10585, -12603?\n\"Answer: -2018*a - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -350, -1\/4, -90\/47, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, -5, -3, -14, -81 in ascending order.\nAnswer: -81, -14, -5, -3, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - x - 4 = -51, 0 = 4*s - 3*x - 41. Calculate the remainder when 68 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 33*s**3 - 205*s**2 + 62*s - 130. What is j(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24060209 a multiple of 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) 5 (c) 3\/2 (d) 2\/9 (e) 1\/109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -158, -152, -144, -134?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 25*u**2 - 5*u - 6. Let g be ((-2)\/5 - (-35)\/75*3)*-17. Let y(f) = 74*f**2 - 14*f - 17. What is g*o(n) + 6*y(n)?\nAnswer: 19*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 3 + 0 + sqrt(7) + (sqrt(112) - sqrt(7))*-4.\nAnswer: -10*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 201653 (base 10) to base 15\nAnswer: 3eb38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.1 (c) 0.05 (d) -198 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-915)\/244)\/(-6*3\/(-12))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llr. Give prob of sequence rl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48675, 97316, 145957, 194598?\n\"Answer: 48641*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2*-4)\/(sqrt(8)*1))\/(((2*sqrt(108) - sqrt(108))\/sqrt(6))\/(2*sqrt(216))).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1\/3 (c) -1 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608*y = -639*y + 7657. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -197 + 192. Which is the closest to -1\/5? (a) -0.2 (b) 5\/6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 4.05. What is the nearest to -2\/13 in 2\/11, 2, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -1.2935.\nAnswer: 19.4025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**2 + 41*r - 36*r**2 + 2*r**3.\nAnswer: 2*r**3 + 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122326865 is divided by 2392?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-36))\/(3\/(-207)). Let h = n - 119\/6. Let s = 19\/6 + h. Which is the nearest to 0? (a) s (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -4*z**3\/3 - 8*z**2 - 1. Solve b(d) = 0 for d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2500388*g - 5000793*g + 2500400*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 16. Let y = w + 6.5. Let g = y - -0.49999928. What is g rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24698 - 11765. What are the prime factors of g?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 132184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6397 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/5 - (-12)\/30. Let l be r\/((-2)\/8*1). Suppose 0 = l*y + 3*h - 138, -1 = -3*y - 2*h + 103. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5461 is divided by 1158.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/5)\/((3003\/14)\/(-13))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 76\/33017?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3. Let w(j) = -j**3 + 3*j**2 - 2. Let y be w(2). Suppose -3 = y*c + c. Let z(m) = -m**3. What is c*i(f) + 6*z(f)?\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010111101 - 10?\nAnswer: -1010010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46718 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 - 2*l - 5. Let b be c(5). Let i(r) = -7*r - 6. Let p be i(-6). Let a = p + b. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 14*s - 24*s)*(3*s**2 + 0*s**2 - 5*s**2)*(-2*s**2 + 2*s - 2*s).\nAnswer: -60*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4656 and 896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*f**2 + 72*f**2 - 2*f + 78*f**2 to the form x*f**2 + a*f + g and give x.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -17, -42, -85, -152, -249, -382, -557?\n\"Answer: -g**3 - 6*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607191*b + 203 = -607162*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**4 + 0*x**4 - 2*x**4)*(-3 + 3 - 1)*(-53 + 73 - 58)*(2 - 4 + 4)*(-59 + 0 - 15) in the form u + k*x**4 + g*x**2 + q*x**3 + z*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 1:01 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 10*u - 18. Let y = 11 - u. Solve s + g + 26 = 6*s, -y*s - 2*g + 8 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:34 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 38 = -142. Let b = u - 29. What is the greatest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - r - 6. Let w(g) = -2*g**2 - g - 7. Let b be (-4 - (-2 - -3)) + -3. Let q = b - -14. What is q*v(i) - 5*w(i)?\nAnswer: -2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-0.2569\nAnswer: -0.012845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 5*f**3\/3 - 55*f**2\/2 - 96*f - 7. Let m(p) = -p**2 + 9*p + 16. Let k(u) = 34*m(u) + 6*s(u). Factor k(o).\nAnswer: -4*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/18)\/((-2)\/(-6)). Let u = 10 - t. What is the remainder when 1\/(2\/(3 - -17)) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 24. What is the third derivative of -159*p**6 - 5*p + 32*p**2 + 153*p**o + 5*p wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**19\/(u\/(((u\/(u*u\/(u\/u**(3\/10))))\/u)\/u)) assuming u is positive.\nAnswer: u**(157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7597762 minus -205?\nAnswer: 7597967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6) + 1220\/15 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4) + (34442\/(-8))\/(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2478630 divided by -406\nAnswer: 6105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r - 5*r. Suppose 5*c = 2*n + 575, -1525 = 5*n + r*c + 2*c. What is n rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189522*b**2*o**3 + b**2*o + 2*b*o**2 + 5156*b*o wrt o?\nAnswer: -1137132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 7) to base 4.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(1 - 5 + 3 - z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 625.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6597249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-8)\/(-2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*y = -8, 3*q + 13 = 7*q + 5*y. Suppose -j = 2*t - 17, 4*t - 4*j - 16 = -0*t. Calculate the remainder when t is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.172 - 1.142160772.\nAnswer: -1.314160772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 294.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3\/5 (c) 0.1278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 10. Let d be m(5). Solve -2*s + s - 3 = d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 5*u**3 - 3*u**3 + 3*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -9*q**5 + 15765*q**4 - 41886*q**3 - 157338*q**2 - 125913*q - 26235 = 0.\nAnswer: -1, -1\/3, 5, 1749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -851\/4 + 27217\/128. Let p = n + 1391\/128. Calculate the common denominator of p and (-2)\/4 + 291\/(-42).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1951, -3929, -6557, -10159, -15059, -21581, -30049, -40787?\nAnswer: -54119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -90*a + 95*a. Sort 84, 0, -1, a.\nAnswer: a, -1, 0, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 7 = -3*z. Let a = 7 + -5. Solve -8 = -a*w, 2*w + z = 2*y + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 + 2*m**2 + m. Let h be -1 - -4 - (-8)\/(-2). Let w(k) = -2*k**2 + 2*k**2 - k**2. Let d be w(h). Determine n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 72 - 387 = 0. Let v = 93 - u. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3313 + 17790 = -412*i + 9155 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -299.27.\nAnswer: -299.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r + 440. Give h(-29).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 12803 - 12777 = -2*h, -3*h = 3*d + 57 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 + 93*z**2 - 706*z - 12671. Determine b(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -14.3.\nAnswer: -57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/1 + 52\/40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176526 = 30*p - 49*p + 40*p. Calculate the remainder when p is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/19 - 3548*d\/19 + 3546\/19.\nAnswer: 2*(d - 1773)*(d - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**4 + 1\/105*b**6 + 0*b + 0*b**3 - 23*b**2 + 0 + 8\/735*b**7 + 0*b**5 - 5\/1176*b**8. Factor g(y).\nAnswer: -2*y**3*(y - 2)*(5*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 + 62697*g**3 + 62696*g**2 = 0?\nAnswer: -62696, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 594 + -303. Does 38 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 7 - 36 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 at most 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-3 - -18 - (-14)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 21*w**3 + 19*w**2 + 13*w + 43. Let v(j) = 10*j**3 + 9*j**2 + 6*j + 20. Calculate -6*q(z) + 13*v(z).\nAnswer: 4*z**3 + 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 36. What are the prime factors of a(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*l - 40 = 10*l, 0 = 2*b - l + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0155 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42520066 by 698.\nAnswer: -60917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 29927 and 29925 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4869*u + 6. Let m be k(1). Let d be 1480 + -1 + -2 + 2 + -1. Let v = m + d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbb. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z - 1. Let n(x) = -x**3 + 2*x**2 + 2*x - 2. Let r = 25 - 23. What is r*d(y) - n(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) -0.6 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -286*n - 11004. Let p be s(-94). What is the highest common factor of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 595 + -595.00767. Round m to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 - (-2 + 26 + -4)) + 28 + -6 + 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -60.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z - 4. Let m(l) = -l**3 - 2*l**2 - 2*l + 1. Let r be m(z). Suppose -10 = y - 6*y, 2*f - y = r. 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 value of 64 - (-64 + 28 + 115)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -112\/3. Let z = 3.84 + 0.16. Which is the closest to 0.3? (a) z (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -122 + 309 + 12*d + 70. Calculate the remainder when m(-14) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t = -20*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -1\/6*q**3 + 2*q**2 + 0*q + 1\/3*q**4 + 0. Let g = 259080 - 259081. Give s(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204.31 - -4551.48735.\nAnswer: 4347.17735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 2*f - 6 = 10*t, 0 = 3*t - 5*f + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.1 - -20. Which is the nearest to -0.1? (a) 0 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364327 and 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26464?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*o**4 + 1123050*o - 197392373 wrt o.\nAnswer: 408*o**3 + 1123050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2\/4 - 243*d\/2 + 489\/4 = 0.\nAnswer: -163, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:36 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 14*f + 0 + f.\nAnswer: 15*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 20*z - 63 = 0, 2316*z - 7 = -u + 2314*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70613181, -141226366, -211839551, -282452736, -353065921?\n\"Answer: -70613185*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 19424\/2701 and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from gxr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by -13330.\nAnswer: 77\/13330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062 by 59.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 11*k + 66 = 0. Solve k = 3*x - 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15579283 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 + v. Let o be x(1). Suppose -3*a = -5*z + 4, 3*a = -2*z + 2*a - o. Let y be 1\/z*1*-5. Solve -y*u = -u + p - 15, -2*p = u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.12 - 598237.\nAnswer: -598235.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 965 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/6 - 10*v**3\/3 - 23*v**2\/2 = 0 for v.\nAnswer: -3, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - r - 2944 = 3*r, -5*r + 1500 = 2*s. Suppose -2*g + s = 2*g. Is g a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 0.6 (c) 0.17 (d) -0.066\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 909979 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 2, -22 in descending order.\nAnswer: 40, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.24 - 18. Let m = 2.24 - x. Which is smaller: 1.2 or m?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -136. List the prime factors of (0 + 21)*(-3 + (m - -15)).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(2) - sqrt(12)\/(2*sqrt(6))))\/(sqrt(2) - (sqrt(2) - ((sqrt(2) + -1*sqrt(2))*3 - sqrt(2))) - (sqrt(2) + (sqrt(66)\/sqrt(3))\/sqrt(11))).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 136, -4, 3, 173.\nAnswer: -4, -3, 3, 4, 5, 136, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.117 - -91.117. What is the smallest value in -5, m, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)\/((k*k*k\/k**(-1\/4))\/k))**(2\/9) assuming k is positive.\nAnswer: k**(-49\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 1375\/340)\/((-3)\/5). Let x = h + 179\/340. Factor 0 + 1\/5*p**3 + 2\/5*p + x*p**2.\nAnswer: p*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(1218\/(-348))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)\/f)**(-45))**(2\/51)\/((f**6*f)\/f**1*f**(2\/7)*f*f\/(f*f**(-2\/3))) assuming f is positive.\nAnswer: f**(-2629\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 3*l**2 - 7*l - 6. Let s be j(-2). Solve 5*a = -s*i + i - 5, 0 = i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 7*w**2 + 0*w**2 + (-2*w + 1 - 1)*((2 - 4 + 3)*(7 - 4*w - 7) - w + 0 + 0)*(2 + 1 - 2).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from rdxrhdduhhrax?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from znnznzznnnnnnnnnnn.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*y - 32, -5*y + 16 = -f - 0. Suppose y*b + 14545712 = 71912412. Let m = b - 1141675. Round m to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let v(w) be the second derivative of w**4\/12 - w**3\/6 - w**2\/2 - 12*w. Let m(x) = -3*x**2 - x - 1. Let k(b) = m(b) - 2*v(b). Determine k(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:53 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:58 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 - 1504?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9460 is divided by 9432?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -153\/263 - -13267\/36820. What is the common denominator of (16\/1680)\/((-18)\/(-1815)) and a?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -14*t**2 - 25*t + 11. Let f(p) = -16*p**2 - 29*p + 12. Let b(y) = 6*f(y) - 7*s(y). What is b(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236548 by -4.\nAnswer: 59137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i**3 - 3*i**2 + 5*i - 59. List the prime factors of w(12).\nAnswer: 5, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9688466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:48 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 741878 and 6?\nAnswer: 2225634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1395 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-33))\/(823\/9053)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 98 in decreasing order.\nAnswer: 98, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 2, v: 1, g: 10}. Give prob of picking 1 o, 1 v, 1 g, and 1 n.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-3)*150\/(-105)*(-129)\/215. Factor 1\/3*f**3 - 47\/3*f - 22\/3*f**w - 8.\nAnswer: (f - 24)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/913 + 3666\/6391. What is the nearest to -1 in 0.5, q, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2*-8*4466. Let a = r + -21428. What is a rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*k + 19 = 0, 3*k + 14 = 3*x - 25. Let j be ((-18)\/x)\/(1\/(-6)). Solve 7 + j = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7219.\nAnswer: 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 98 + 3542 = 0. Let g be 3\/(-7) + q\/28 + 4. Suppose 4*i - 18 = 2*r, -r - 2 = -i + 4. Is g smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*m - 24 = -m, -3*i + 3*m - 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 378, 993, 1646, 2349, 3114, 3953?\n\"Answer: 2*g**3 + 7*g**2 + 580*g - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-6*q**2 + 3*q**2 + 4*q**2).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 1129 + 551 = 0. Calculate the highest common divisor of n and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-409241)\/57015 - (-6)\/(-27)?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 12. Let u be m(6). Let i be u + 2\/(3\/3). Let s(w) = 20 - 49 - 2*w + 4*w**2 + 9 + 19. Let r(c) = 5*c**2 - 3*c - 2. Give i*r(a) - 3*s(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7\/4)*b)\/b*b)\/b**(-4\/5)*b**(-2\/5)*b*b*b**(-3) assuming b is positive.\nAnswer: b**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from perrmppeemmpeee. What is prob of picking 3 p and 1 e?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.8122 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7282\/(-993)*(-2)\/11?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07093048 + -0.5.\nAnswer: -0.57093048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/5 - 254*h**3\/5 + 59351*h**2\/5 - 58584*h\/5 - 118188\/5 = 0 for h.\nAnswer: -402, -1, 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/7 - 2463*s**2 + 34491*s\/7 - 17247\/7.\nAnswer: -3*(s - 1)**2*(s + 5749)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 258002151 times 2?\nAnswer: 516004302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 34*m + 130. What are the prime factors of j(-12)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 12. Let r = m - 34.05. Let d = r - 0.950101. Round d to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2835 divided by 45.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imrcour. What is prob of sequence uo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 411 and 2004858.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740708059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 43368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1)\/(3\/(-15)). Suppose -s*f = -2*y + 15, 5*y + 3*f - 100 = 15. Suppose -24 = -4*u + 2*u. Calculate the least common multiple of y and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 19 = -20. Suppose -p*b = -2*s - 5, 4*b - 6*b + 4*s - 10 = 0. Solve 0*w = b*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h - 583750 = 112085. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*j = 13, -4*s - 79*j - 19 = -74*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 4\/(-1) + 6. Let x(f) = -f. Let k(z) = 9*z + 3. Let d(m) = k(m) + 2*x(m). Is d(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 0.2, 345?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 1\/10*g**6 + 0*g**4 + 4 - 1\/12*g**5 - 35\/3*g**3 + 0*g + 20*g**2. Find the first derivative of s(i) wrt i.\nAnswer: 36*i**2 - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 19*q = -492. Let t(j) = -q + 0*j + 137 - j. What is the units digit of t(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 810*i**2 - 3175*i - 2370.\nAnswer: -5*(i + 1)*(i + 3)*(i + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let t(p) = 7*p + 4. Calculate the remainder when t(k) is divided by ((-390)\/80)\/13 + 230\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 128544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**5 - 100*s**4 - 308*s**3 - 254*s**2 - 19*s + 34.\nAnswer: (s - 17)*(s + 1)**3*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492 + 22*h + 491 - 986.\nAnswer: 22*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 v when three letters picked without replacement from gvgvvoogvg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 15*h + 266 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -306659*u**4\/24 - 23*u**3\/2 - 75*u**2. Let g be r(9). What is g rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:40 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 9:58 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**8\/336 + t**4\/24 + t**2 + 3*t. Let z(k) be the first derivative of v(k). Find the second derivative of z(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4718 and 6354.\nAnswer: -29978172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*b - 165425 = -853*b + 3352*b - 216635 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 44*x - 32. Let m be g(48). Calculate the highest common factor of m and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 29426 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 2*g - 161 = a, -4*g - 8 = 0. Suppose a - 143 = 5*j. What are the prime factors of (-2)\/(-2 - 42\/j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 12:46 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 15*j + 26. Let t be i(16). Let x be t*1 - ((-16)\/4 + 6). Solve -3*h - x = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (1 - -9)) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-68) - (-850)\/289?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/489 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*d**4 + 266*a*d**3 - a*d + 333*a wrt d?\nAnswer: -12*a*d**2 + 1596*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - 614*n - 2*n**4 + 660*n + 4*n**4 + n**4 - 2*n**2 - 2 - n**4 to the form x*n**2 + z + p*n + k*n**3 + j*n**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 + 3*u**2\/2 + u. Suppose 0 = r - 2*r - 5*k + 23, -2*r + 10 = -2*k. Suppose r*a = 5*a. Give z(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/5 - 8\/15. Let o = -0.12 - -1.02. Which is the third smallest value? (a) r (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 136\/476*(1 - -6). Solve -c*k - 2351 = -2335 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*v + 53 - 929 = 0, 0 = 3*n + 3*v - 669. Suppose -6*h + n = -259. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 2. What is the tens digit of l(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 42) + (41 - (33 - -3))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(847) - (1 + sqrt(847))) + 1 + sqrt(847) + -2)**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 6:21 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -66, -2\/5, -5, 47, 4\/11?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*s)*(-3*s**2 - 2*s**2 + 3*s**2) - 22606*s**2 + 60*s**3 + 22601*s**2 + 13*s**3.\nAnswer: 77*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 <= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(((((p\/(p*p**(-4)*p)*p)\/p*p*p)\/p)\/p)\/p)))**(-2\/103) assuming p is positive.\nAnswer: p**(-4\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 8*r**3\/3 + 2*r. Let b(k) = -2*k. Give b(n(x)).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 95.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 93?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -389.8 and 146982559?\nAnswer: 146982948.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from fgfllzggylll?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -35, 0, 4036, -2 in decreasing order.\nAnswer: 4036, 3, 1, 0, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {c: 2, x: 10, g: 3, k: 3, v: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 9*u + 6. Let x be n(-8). Is (15\/x)\/(4\/(-8)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (-13 - (-3 + -7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1020 + -994. What is the third biggest value in -1\/3, z, -1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44243404031 - 1?\nAnswer: 44243404030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 1552 - 1517 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -864\/7741 or -1?\nAnswer: -864\/7741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -557, -1121, -1683, -2243, -2801?\n\"Answer: j**2 - 567*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 17*u - 133. Suppose 2*i - 17190 = -u*i. Round i to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 165*y - 4788. Determine o(26).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -12*a - 12, 4*a - 11 = 2*l - 17 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -586, -894, -1222, -1576?\nAnswer: -1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1538*s - 3915*s - 94*s - 229568 = 1205*s for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctddddtdnccrdnd. Give prob of sequence ncrd.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + v + 9, -17418*l + 17413*l - 4*v = -58 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6092 and -0.06?\nAnswer: -365.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + o + 18 = 0, -5*m - 4*o + 3 = 0. Suppose -m*b = 2*x - 4*x - 214, 2*b + 3*x - 134 = 0. What is the highest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**3 + 26615*r**2 - 1779770*r - 7544600 = 0.\nAnswer: -5389, -4, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28108 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -24 + (-9 - (-28 - -36) - -11).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82\/1827 + -36\/203. Which is the closest to h? (a) -1\/12 (b) 5 (c) 0.075 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 1210235344?\nAnswer: -1210235352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/8 + 11*i**2\/8 + 7*i + 15\/2 = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3524346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120101021 - -2?\nAnswer: -120101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58249?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2489192, 2489195, 2489198, 2489201?\n\"Answer: 3*c + 2489189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -44524?\nAnswer: 44527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or -3433\/80?\nAnswer: -3433\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 4*z + 21. Let c(p) = p**2 - 2*p - 10. Calculate 7*c(r) + 3*o(r).\nAnswer: r**2 - 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 1. Let p(z) = 8*z**2 + 6. Let x(n) = -6*b(n) + p(n). Let v(u) = 3*u**2. Give v(x(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 - -262. Solve 12 = g*z - 24*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:27 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 39*h**2 - 231*h + 3267.\nAnswer: 3*(h - 11)**2*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -18*j - 7. Give n(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:58 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226272552 by 264.\nAnswer: 857093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10693 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -365 (b) -2\/3 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 22*y**3 + 414*y**2 + 1490*y + 1100.\nAnswer: -2*(y - 22)*(y + 1)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i - 93. Calculate x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1499859, -2999559, -4499261, -5998965, -7498671?\n\"Answer: -v**2 - 1499697*v - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 377\/2 + -176. What is the common denominator of 2\/7 - (-506)\/(-252) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32735455 a multiple of 1765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11234, 11807, 12380, 12953, 13526?\nAnswer: 14099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780.214 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-291)\/594 + (-2)\/(-4). Let c = b + 1280\/693. Let z = -9\/7 + c. Is z at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/76 and 41\/2?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. Let y be 1\/(o\/(-48)*2). Let s(i) = i**3 - 9*i**2 + 10*i + 1. List the prime factors of s(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2773216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 11*z + 20 - 7 - 49 + 15 + 14.\nAnswer: -11*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2576094 to the nearest one thousand.\nAnswer: 2576000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/1729)\/(1\/26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1384315 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123*19 - (-27 + 25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -1. Let m be 2\/q + -2 + 4. Let t = 246 - 242. Which is the closest to -2\/3? (a) 3 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 - -222.2. Let o = -27 - s. Let b = o - 3.3. What is b rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -128 (b) 4\/7 (c) -1\/15 (d) -6\/13 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1.29, 0.16, 1\/4?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -1.1, 0, 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vyyyv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460471453.\nAnswer: 13, 35420881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 228643 and -1853.\nAnswer: -423675479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177\/11 - 16. Let h be 364\/(-63) - (-13 + 7). What is the nearest to h in -1, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920208 to the power of 1\/2, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -764 + 876. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 13\/2*d**4 + 6 + 11\/10*d**5 - 3*d + 0*d**3 + 0*d**2. Find the third derivative of f(j) wrt j.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215952.\nAnswer: 2, 138497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*k - 459 = 0, -u + 2*k = 4*k - 84. Let o be ((-18)\/(-21))\/(39\/(-14) - -3). Suppose -o*y - y + u = 0. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4 + 4)*(-2*g + 4 - 4) + (-2*g + 0*g - g)*(-22*g - 6 + 6).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3204 and 50908.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 1. Let o be k(-1). Suppose o*i - 11 = 4. What is the first derivative of -i*t**3 + 3*t**3 - 2 - t**3 wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 16. Suppose 5*g = 5*l, 5*g + l - 8 = 4*l. Let i = g - j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 1\/48*j**4 - 12 + 0*j**3 + 11\/240*j**6 + 0*j**2 + 3*j - 13\/160*j**5. Solve v(l) = 0 for l.\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 + -57. Factor -k*w**2 - 11 + 147*w**4 + 4 + 14*w**3 - 84*w - 5 + 70*w**3.\nAnswer: 3*(w - 1)*(w + 1)*(7*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-6))\/(i*i**(4\/25))*(i**(-33)*i)\/i**30 assuming i is positive.\nAnswer: i**(-1404\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(2 + 0 + sqrt(2448)*3*4).\nAnswer: -1728*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 12958 - 12958.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 107265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + -5 + -12 + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*t**3 - 570*t**2 - 1437*t + 2028.\nAnswer: -3*(t - 1)*(t + 4)*(7*t + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77933*y - 192664*y - 278494*y - 92581*y.\nAnswer: -641672*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(26) + (sqrt(26) - sqrt(416))))\/(-1*sqrt(98)) - ((-4 + -2*sqrt(832))**2 + sqrt(832) + (-6*1*sqrt(832))**2).\nAnswer: -33296 - 956*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 9. Let i be ((-16)\/3)\/2*(-702)\/(-24). Calculate the remainder when (-1131)\/i - (1 + 0)\/(-2) is divided by c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-534)\/(-60) - (4 + (-4690)\/100).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56791550?\nAnswer: 2, 5, 1135831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-50)\/8)\/((-90)\/432). Calculate the greatest common factor of w and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -23. Let t be 1*(w - -2 - 0). Solve q = 2*q + t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12707 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 3*v + 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6558482, 6558493, 6558504?\n\"Answer: 11*c + 6558471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 >= -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuxuuxuuuuuxxu. What is prob of picking 2 u?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19276 at least as big as -3484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*k + 38 = -54, 2*b - 2*k - 122 = 0. What is the highest common factor of 32 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-4 - -11 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7190 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311626 (base 9) to base 12.\nAnswer: -2a66b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-10))\/(9\/(-36)). Which is the nearest to 1? (a) n (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Let t be l(-1). Let v = 0.59 - 0.99. What is the third biggest value in v, 4, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y**5 - 17573*y**4 + 42165*y**3 + 5255253*y**2 - 38021654*y - 17932200 = 0.\nAnswer: -19, -4\/9, 11, 1950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + -92. Let q be ((-75430)\/133)\/((-2)\/b). Round q to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 6. Let s be f(6). Suppose s*l = -2*l - 2. Let u(b) = -6*b**2 - 2 + 3 - 3*b**2. Determine u(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196415465 to the nearest integer?\nAnswer: 14015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 7.9. Which is the nearest to 2\/7? (a) v (b) 1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -6. Suppose 3*t - x = -5*y + 6, y - 30 = -5*t. Suppose 4*d = 5*b - 15, -34 = 3*b - t*b - 4*d. What is the greatest common factor of 42 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (25 - -1) + -4 - -55\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ils when three letters picked without replacement from idddpiddvdvpppldvvs.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwomjwdco. Give prob of sequence dmc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097204460 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/130)\/((2\/30)\/((-10)\/(-30))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3*l**2 + 4 - 4.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2))**(2\/119)*x**5\/(x\/(x\/(((x*x**(-12\/11)\/x)\/x)\/x))) assuming x is positive.\nAnswer: x**(10624\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1 (c) -2186529\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:58 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -32. Suppose -2*p + 2 = 2*v, 2*p = 3*v + h - 32. Suppose v*m - 10*m + 1208 = 0. What is m rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxc when three letters picked without replacement from {x: 1, d: 8, z: 9, c: 2}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(468))**2 - ((sqrt(52)\/sqrt(4) + -3 - sqrt(13)) + (2*sqrt(130))\/sqrt(10)).\nAnswer: 22*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -12507*i. Let h(v) = 2*v**2 - 73*v. Calculate h(j(w)).\nAnswer: 312850098*w**2 + 913011*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 1. Let c(s) be the first derivative of -s**2\/2 - 3*s - 2. Suppose -12*b - 2097 = -3*b. Let n = b + 231. Determine n*r(l) + c(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 12*i**2 - i + 15. Let c be y(12). Let l(p) = -2*p**2 + 2*p + 5. Let r(u) = 3*u**2 - 4*u - 9. Give c*r(b) + 5*l(b).\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvf when three letters picked without replacement from {v: 7, f: 2, m: 3}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4612\/297 - 170\/11. What is the biggest value in 0.5, -5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {r: 7, c: 1, i: 2, m: 4, t: 5, l: 1}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d + d)*(-5215*d - 3206*d - 2209*d).\nAnswer: -31890*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 10. Let w be i(-6). Let o = 3 + w. Let l = o - -1. Calculate the least common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8574.675 weeks to microseconds.\nAnswer: 5185963440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 10 = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 423*f**4 - 73*f.\nAnswer: 5076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 132 = 33*b. Solve 0 = 2*u - b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 18845405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16499 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158835738.\nAnswer: 2, 3, 113, 234271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let b = 4 - 2. Let f(y) = 0*y - 2*y**2 + y**b + 0*y. Give w(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0394 + 0.0414. Which is the second smallest value? (a) 2\/11 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 3\/7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in -243, 4, 3, 22, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 11. Let s = -10768.2 + 10768. Which is the nearest to f? (a) -1\/4 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 1838*b**4 + 1952*b - 10898. What is the derivative of v(f) wrt f?\nAnswer: 22056*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/26 + (255\/99)\/(-5). What is the smallest value in -0.3, 2\/7, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85849119.\nAnswer: 3, 47, 67651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/30 + n**4\/8 - 5*n**3\/6 + 326*n**2. Determine z(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = r - 8. Let w = 1 + r. Let j = 4 - 6. Which is the closest to -0.1? (a) j (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-2) + -2 + 0. Let w = -11 + 28. Solve 3 = x - k, u*x + w = 3*x - 4*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101388673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 207*o - 452633 - 236470. Calculate the remainder when o is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 8. Let x be b(0). Let j(o) = o + 8. Let g be j(x). Let t be 2 + (g - 3) + 6. Solve 0 = -3*s + 3*d + d + 15, 0 = t*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s**2 - 5*s + 3. Let u be b(-3). Suppose 5*q - 171 + 15 = 2*y, 0 = -4*q + y + u. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476 + 868. Suppose 10*r - a - 1548 = 0. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttz when three letters picked without replacement from ztzzzzzztzzzzzzzzzzz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14344444?\nAnswer: 2, 29, 31, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.34285 nanograms?\nAnswer: 0.00000000834285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -2*z + 1, -4*z + 2*j = -7*z - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2704*-0.16\nAnswer: -0.043264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122297358 divided by 574166.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:25 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 1. Let h be (-102)\/27 - o\/27. Which is the nearest to 1\/2? (a) 7 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 117798*h**3 + 5183114*h**2 - 35339312*h - 600 = 0. What is h?\nAnswer: -50, -1\/58899, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77080 - 14085 = -2942*v - 2905 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 38*y - 116 + 34*y - 126*y + 41*y. Let g be v(-11). Calculate the highest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*r + 6 = 9*r, -9 = -3*h - 3*r. Suppose -d = h*u + 9, 5*d + u - 4*u = 9. Suppose 29 = 5*q + 3*j, d*q - 2*q + 6 = 4*j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + 1 + sqrt(1216) + ((-6*sqrt(684)*-1 - sqrt(684))*5)**2.\nAnswer: 8*sqrt(19) + 427498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 22. Suppose -18 = i - 5*n, 4*i + n - 5*n = -s. What is the least common multiple of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 1. Suppose -3*a + 4*b = 14, -4*a + 6*b - 18 = b. Let m(i) = -2*i**2 + i + 3. Determine a*q(o) + m(o).\nAnswer: -2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 340043.\nAnswer: 340043.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 4\/3, -1\/5, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292230 is divided by 137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.5 - -44. Which is the smallest value? (a) -0.2 (b) -2\/9 (c) 1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -320 - -319.9. What is the closest to x in -5\/2, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446 at most -75033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351418381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3.1 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33598.4 days to nanoseconds.\nAnswer: 2902901760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 733 = -141. What is the second derivative of v*d**4 + 14*d - 4*d - 6*d - 6*d wrt d?\nAnswer: 888*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 35 + 5. Calculate the remainder when 102\/17 + (504\/(-16))\/((-2)\/4) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-273794.9.\nAnswer: 1642769.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -5. Suppose -u - 6 = -w. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 4*f + 22, -5*f + 21 = 5*v + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4836 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + (-4 + 14 + 5 - ((3 - 9) + 21)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106645, 106643, 106641, 106639?\nAnswer: 106637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j**2 - 7*j + 25. Let z(d) = -15*d**2 + 8*d - 29. Let g(m) = -7*k(m) - 6*z(m). Let u(v) = -3*v**2 + 3*v - 14. What is 5*g(x) - u(x)?\nAnswer: -2*x**2 + 2*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48368 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7767 + 1520*w**3 + 7767.\nAnswer: 1520*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 648*d**4\/5 + 782*d**3 + 7908*d**2\/5 + 5448*d\/5 + 176\/5.\nAnswer: 2*(d + 2)**3*(324*d + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 7*b**2 + 8*b + 2. Let k be f(6). Solve 0 = 7*r - 14 - k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(sqrt(500) - (-4 + sqrt(500)) - sqrt(500))*-6)**2.\nAnswer: -2880*sqrt(5) + 18581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.55 - 0.45. Let h = -20 - p. What is the closest to 9 in h, 2\/9, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/88, -28, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 16*p - 4. Let b be f(-5). Let k be ((-19)\/(-3) - 4\/(-6))\/b. Suppose -k*g - 30 - 131 = 0. Which is bigger: g or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-12150)\/40) + (-10)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54421 = 53*y - 13419. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*j**2*x**5 - 2711*j**2*x**4 - 3*j**2 + 712*j*x**2 - 2*j wrt x.\nAnswer: -840*j**2*x**2 - 65064*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -20202 (b) 3 (c) -4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - r**3 + 13555*r**4 - 13822*r**4 + (4*r**2 - 6*r**2 + 3*r**2)*(-r**2 + 3*r**2 - r**2) to p*r**3 + f*r**4 + v*r**2 + a*r + j and give f.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)\/((b*b**12\/b)\/b) assuming b is positive.\nAnswer: b**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/557 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*f + 9. Let p = 11 + -10. Let v = f + p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 29) + 36 + 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44691.\nAnswer: 3, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 750 and -10?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/3 + 1264*d**2\/3 + 1270*d\/3 - 844 = 0.\nAnswer: -2, 1, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35305*j**2*n - 3*j**2 + 2607*n + 12 wrt j?\nAnswer: -70610*j*n - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(18) + sqrt(1152)*-4)) + sqrt(18))\/((sqrt(30)*-2)\/sqrt(5)).\nAnswer: -33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13b33 + 119?\nAnswer: -13a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 234, 374, 514, 642, 746, 814?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -452, -5, 0, -1, 3, -33 in increasing order.\nAnswer: -452, -33, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 2. Let z be f(2). Suppose z*x + 15 = 5*x. Let t be (-31999985)\/(-10) + x\/2. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0, 2.8, 8, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**6\/3 + 2*a**3\/3 - 1. What is the third derivative of x(t) wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.74 + 1.33. Let v = 0.09 - o. Let f = v - 1.1. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(6\/11)*n**(-8)\/n*(n*n**(1\/4)*n)**(-14\/3))**(-50))**(3\/2) assuming n is positive.\nAnswer: n**(31275\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 138 + 65. Let a(u) = 19*u + 42. Let m be a(16). Let v = m + j. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 11 = -54. Solve 3*r - v = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 34. Calculate d(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77406*a**3 - 1049126*a?\nAnswer: 464436*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2371237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 54*u + 98. Let z be p(28). Calculate the highest common factor of z and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80678*q**3 - 161861*q**3 + 81184*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 667, 673, 675, 667, 643, 597, 523?\n\"Answer: -x**3 + 4*x**2 + x + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*m + 102*m + 83*m + 33 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 - -20. Calculate the smallest common multiple of d and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 + 28*d**3 + 4*d**2 - 28*d = 0. What is d?\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2366790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1047889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -94641001.9 to the nearest 100000.\nAnswer: -94600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/4180 and 53\/4239774.\nAnswer: 42397740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3003127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.59, -1027, -4\/165, 3?\nAnswer: -1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*w = -14, 0 = -2*t + 2*w + 3 + 3. Let h(b) = -b + 5. Let r be h(t). Solve r = 5*j - 1 - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 22. Let y = p - -8. Let w = 0 + 0.1. Which is the third smallest value? (a) w (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 785026367.\nAnswer: -785026362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 32 = -l - 4*y, -l + 52 = -y. Suppose 2*k - l = -2*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58a (base 13) to base 6\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 615.2327546 + -1.04\nAnswer: 614.1927546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/24*6\/(-4)*8. Suppose -3*k - 20 = -p*q - 1, -k = 1. What is the closest to q in -0.1, 0.1, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 + 14)*(0*x - 3*x + x)*(-5 + 0 + 3).\nAnswer: 84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 2*t + 22*y + 18, t - 17 = -4*y. Which is bigger: t or 1\/810?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2681 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488380 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 1503529. Let t(n) = -3*n. What is s(t(f))?\nAnswer: 18*f**2 + 1503529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -603e4 (base 15) to base 10\nAnswer: -304639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**6 - 60251*u**4 - 3*u**2 - 821581*u wrt u.\nAnswer: 240*u**3 - 1446024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (1 + 1 + sqrt(125) + -4 + sqrt(125) + 1 + -5 + sqrt(720) + 1 + -5)**2).\nAnswer: -12580 + 2200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 11\/(-9) + (-594870)\/(-270) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221945 divided by -44389?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1036965, -1036964, -1036963, -1036962, -1036961, -1036960?\n\"Answer: g - 1036966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6*2\/4)\/(19\/(-114))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -664, -1297, -1930, -2563, -3196?\n\"Answer: -633*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16327, -32662, -48997, -65332, -81667, -98002?\n\"Answer: -16335*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, 2, 7, -3.\nAnswer: -3, 1\/26, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5580946189 to the power of 1\/2, to the nearest integer?\nAnswer: 74706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7398 = 5*l - 617. Suppose 35*p - 1477 = l. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7 - 7 + a**2 - 4*a + 0. Let q be d(8). What is the second derivative of q*c + 32*c**2 - 4*c - 14*c**2 wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/12 - 7*z**3\/6 + 3*z**2 - 9*z. Let m be v(6). What is the closest to m in 5, 4\/5, -7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -9, 501, 0, 1 in increasing order.\nAnswer: -9, 0, 1, 25, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 12*i**2 - 11*i + 4. Let l be o(-11). Suppose l = u + u. Calculate the highest common divisor of u and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, 152626\/7, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/464 and -26\/203?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 223. Let g be -58*(1 - -2)\/(-6). Let i = g + -29. Is o(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344980 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 511.999293 + -512. Round m to five dps.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3\/2 - 70*h**2 + 573*h\/2 - 216 = 0?\nAnswer: -144, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let m(n) = -n**2 - 2*n. Let p be m(-2). Let f(r) = 2*r**3 - 193*r**2 - 324*r + 2942. Let i be f(98). Solve d + u + i = p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20217 - 45*m + 31*m + 39*m + 88*m - 10107 + 62*m - 10108.\nAnswer: 175*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84306 and -2.\nAnswer: -84308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*c + 14401, -4*c + 5*q + 12888 = -1483. Suppose -12167 + c = -28*d. Calculate the greatest common factor of 34 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 4)*(-2)\/(-4). Let x(k) = -2*k + j + 4 + k. Let q be x(5). Is 0 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-3)\/((-3)\/1). Suppose x*p = p. What is the closest to -0.1 in 5, p, -4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 25. Let o be m(27). Suppose -5*t + 15 = 5*g, 0*g + 15 = 5*t + o*g. Suppose 2*x - t*x = -16. Calculate the remainder when 57 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1303 - -1?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g**2*n + 7*g**2 - 3*g*n - 2*g - 250*n - 3 wrt g?\nAnswer: 12*g*n + 14*g - 3*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -17*l**9\/84 + l**8\/168 + 959*l**5\/60 - 30*l**2 + 10*l. Find the third derivative of c(b) wrt b.\nAnswer: -12240*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -37. Suppose -b*u + 2147 - 438 = 3*k, -3*u - 3*k = -2565. Let d = u + 9. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - -1. Let y = a - -77. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/6)\/(2\/276). Calculate the highest common divisor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/22 + -1 - 0. Let x = 17\/22 + q. Factor -3\/2*o**2 - 3\/2*o**3 + 0 - 1\/2*o**4 - x*o.\nAnswer: -o*(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 + -110. Suppose 0 = 17*q - s*q - 110. What is the third derivative of 10*k**5 - q*k**2 + 17*k**2 - 10*k**5 - 5*k**6 wrt k?\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*f - 6 = 191*f + 5*x, -5*f = x - 18. Solve -f*c = -4*m, -3*m - 10 = -5*c + 7*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 74. Suppose -n + 8 = -2*q + 4*n, 4*q - 5*n = h. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 + 1 = 5*k, -3*c - 5*k = -108691 + 108669 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 1.045004 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -12502506 to the nearest 1000.\nAnswer: -12503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7901.038 micrograms in nanograms?\nAnswer: 7901038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 55*x**3 - 75*x**2 - 495*x + 1080.\nAnswer: -5*(x - 8)*(x - 3)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*l**2 - 199*l**2 - 197*l**2 - 245*l**2 - 196*l**2 + 1033*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 6. Calculate i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56895\/8 or -7113?\nAnswer: -7113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(4))\/sqrt(6))**2 - (sqrt(2) + sqrt(16)\/sqrt(2)).\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3140 (base 6) to base 12\nAnswer: 4b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 6*w**2 + 4*w - 7. Let s be a(-4). Suppose -10*k - s = -13*k. Put 5, 4, k in decreasing order.\nAnswer: 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 0*l + 0*l + (-2 + 5 - 2)*(-5*l - l + l) + 2*l - 4*l + 0*l)*(5*l**2 - 3*l**2 - l**2) to the form r*l + y*l**3 + f + x*l**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((69 - 69 - 5*m)*(4 + 4 - 2) + (2 + 3*m - 2)*(-4 + 5 + 1))*((m - m + 2*m)*(4*m - 3*m - 2*m) - 7*m - 5*m**2 + 7*m).\nAnswer: 168*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*r = -20, -171*r = 5*s - 167*r + 20. Solve 30*n + 2*n + 64 = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {k: 8, i: 8, j: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**8)\/(w\/w**(-1\/5)))\/(w**(-1\/3)\/w)**47*(w*w**(-2\/5)*w*w*(w**3*w*w)\/w)**(-47) assuming w is positive.\nAnswer: w**(-3836\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3 - 72*v**2 + 74*v = 0.\nAnswer: -37, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {e: 1, p: 2, y: 4, l: 7, c: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -6*g - 30. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1\/20*f**5 + 4\/3*f**3 + 0 - 5\/6*f**4 + f + 6*f**2. Let i be r(9). Let m(n) = -n**2 + 5*n - 4. Calculate m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/(-126) - 10\/(-35). Which is greater: u or -18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ier when three letters picked without replacement from {j: 5, e: 2, r: 8, i: 4}.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 3*s - 4*y + 8, -4*s + 2*y - 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 12) to base 10\nAnswer: -447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*a**3 + 150*a - 143 + a**5 - 57*a**3 + 28 - 175*a - 579*a**2 wrt a?\nAnswer: 20*a**3 - 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f + 20 = 2*q, -5 = 5*f. Suppose 2*j + 1 = -q. Let s be -2*((-9)\/j - 2). Solve 5*u + s = v - 24, 0 = -v - 4*u - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -816458 times 3\nAnswer: -2449374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 at most as big as -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 13, -7, 260, 3 in descending order.\nAnswer: 260, 13, 3, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -12. Let x = -2 - s. Which is greater: 6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(153) + (sqrt(153) + -1)*3)**2 + ((sqrt(153) + 1)*-5)**2).\nAnswer: 234*sqrt(17) + 18921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.53313 times 4\nAnswer: -2.13252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 5767 = -1793. Let w = -270 - t. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5\/7 - 64*o**4\/7 - 66*o**3\/7 = 0.\nAnswer: -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22461064*t**3 + 12164*t**2 + 4*t + 33 wrt t.\nAnswer: -134766384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -796, -4, -0.1, -2, 87, -1\/436?\nAnswer: -1\/436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 32000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -21, -35, -51, -69?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -207479, -414955, -622431, -829907?\n\"Answer: -207476*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3 - 8*h + 27*h**2 + h**3 + 10 - 19*h**2. Let a be d(-9). Is -4 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36199493 is divided by 799.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d = 3*o - 9, -3*o - 2*d = -9. Let y = o + -2. Let h be (24\/3)\/(1 + y). Solve 4*j + 8 - 40 = -h*i, 5*j + i = 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -12.6 (b) -6\/173 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11909618 and 1330.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 27, 49, 87, 147?\n\"Answer: o**3 - o**2 + 8*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmemmoymyyom. What is prob of sequence oy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60976 is divided by 1793?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 370720.9 decades in months?\nAnswer: 44486508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*q - 1. Let p(d) = 4*d - 3 - 4*d - 2 + q*d. Let j(b) = 5*b - 6. Calculate -5*j(l) + 6*p(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.81 - 1.41. Let q = 4689 + -40561\/9. Let h = -182 + q. Sort o, h, -0.3.\nAnswer: -0.3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/27 - -59\/135. What is the biggest value in g, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1761? (a) 0.3 (b) 2 (c) -1\/2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + h**2 - 1 + 1 in the form g*h**2 + f + m*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/47, 1\/6, -1\/2, 1\/245 in descending order.\nAnswer: 1\/6, 2\/47, 1\/245, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 >= 682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1484, -1459, -1436, -1415, -1396?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.865081 decades in millennia?\nAnswer: 0.00865081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*2 + -2)\/(-2). Let b(j) = -j - 2. Let g be b(-6). Suppose a*c - g - 4 = 0. Sort 0, 1, c in ascending order.\nAnswer: 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6. Let c(x) = 1. Let u(g) = 5*g + 24. Let n be u(-7). Let q(j) = n*c(j) + 2*t(j). Let k(b) = -b + 5. Suppose 15 + 3 = -3*z. Determine z*q(s) + k(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30371456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (143 + 1688)\/(((-2)\/8)\/((-93)\/12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49128 and 2484?\nAnswer: 442152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/36 + 110\/(-495).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**3 - 5*i - 2. Let c = -12 - 2. Let j be 3 - c*2\/(-4). Let w be (-48)\/9 + j\/6. Let k(y) = -5*y**3 + 6*y + 2. Determine w*b(p) - 5*k(p).\nAnswer: p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2 + 22*l - 40. Calculate s(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.143 (b) 1\/6 (c) -149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1604028\nAnswer: -1604028.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31801899 is divided by 3768?\nAnswer: 3747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/122309 and -26\/33357?\nAnswer: 366927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*16\/(-132) + 26\/(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*28030\nAnswer: -5045.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.485 + 2.185. Which is the smallest value? (a) 3 (b) u (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*6803.\nAnswer: 27212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*x**2 - 762520*x + 44854.\nAnswer: 2*(x - 22427)*(17*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reee when four letters picked without replacement from {r: 2, e: 18}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33032, -61932, -90832?\n\"Answer: -28900*w - 4132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/(10 - 4) + 5 + 32\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 12*p - 3. Let k(m) = m**2 - 2*m - 2. What is i(g) - 3*k(g)?\nAnswer: 4*g**2 - 6*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 635013719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, -7, -56, -135, -244, -383?\n\"Answer: -15*f**2 + 26*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653398?\nAnswer: 2, 383, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*u**3 + 503*u**3 - 1 + 1.\nAnswer: -510*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 977892b + -4?\nAnswer: 9778927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -647607.3100059 - -647607. Let b = 0.74 - 0.43. Let l = b + y. Round l to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5593176149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 - m**4\/24 + m**3\/6 - 4*m**2. Let c(r) be the first derivative of d(r). What is c(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1215, -1201, -1173, -1125, -1051, -945, -801, -613?\n\"Answer: w**3 + w**2 + 4*w - 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 382788.7 grams in kilograms?\nAnswer: 382.7887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.211678km in millimeters?\nAnswer: 9211678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1791092 or -1791089?\nAnswer: -1791092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -227, -305, -415, -557, -731?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 793 - 812.04. Let n = 19 + l. Round n to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**3\/3 - 4*p. Let o be i(-5). Is 194\/o - (-8)\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, 25, 43, 63, 85, 109?\n\"Answer: h**2 + 13*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6051993800 rounded to the nearest 1000000?\nAnswer: 6052000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -2*t**5\/85 + 4*t**3\/51 - 2*t\/17 - 13. What is z in q(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -124\/5. Let o = 383 - 378. What is the biggest value in k, -3\/2, o, -0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510697 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4105 + 4105. Solve -4*a - m + 30 - 14 = z, m = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:13 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = p - 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-32))\/(84\/(-96))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 692*u - 4630. Let a be q(7). Solve 22*v - 38 = -a for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*r**2 - 4*r + 3*r + 17*r**2 + 3*r.\nAnswer: 82*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p + 1. Let a(b) = -4*b + 1. Determine -3*a(j) + 4*q(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1024*b - 1230*b - 6178*b - 4885*b as p*b + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 936\/116 - 5 - 8\/116.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -3\/7, 1, 34.89, -75?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -187. Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + 18\/4. Let g = 1 + 6. Let x = 6 - g. Put n, -4, x in decreasing order.\nAnswer: n, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.95 + -1. Let r = -3.95 + j. Which is the second smallest value? (a) 5 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppypijyyejyjy. What is prob of picking 1 j and 3 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 732521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 12:39 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6132 and 2701?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -91. Suppose -2*x = 5*f - 690, 993 = -x + 4*x - 3*f. Calculate the remainder when x is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.035651241\nAnswer: -0.00106953723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 535 and -0.03322?\nAnswer: -17.7727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41507615 rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 634450, 1268909, 1903372, 2537839?\n\"Answer: 2*f**2 + 634453*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -30. Suppose 2*w = 3*h - 11, -2*w + y = -3*w + h. Find the third derivative of -w*u**4 - 4*u**2 + 0*u**2 + 2*u**2 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3871 - 1935 - 1936 + 14*p**2 + 7*p**3 - 13*p**2 + 8*p**2.\nAnswer: 7*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47350*y - 70 = -47345*y. Which is the third smallest value? (a) 4 (b) -2 (c) y (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -1, 0.12, 0.06, -2\/27, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 273, -5, -0.3 in increasing order.\nAnswer: -6, -5, -0.3, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7077, -14309, -21753, -29409, -37277?\nAnswer: -45357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*p = -334 - 332 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1332 = -3*r, 2*y + r = -3*y + 1654. Suppose -320*w = -y*w + 760. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -469*p**3 - 2*p**2*u**2 - 1075*p*u**2 - p*u wrt p?\nAnswer: -2814*p - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.091 + -23.909. Let x = 80.4 + -80. Which is the smallest value? (a) x (b) -2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**17\/p*p)\/p)\/((p**(-10)\/p)\/p))**(-1\/5) assuming p is positive.\nAnswer: p**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0204835946 to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2205507?\nAnswer: 3, 735169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/n**(9\/4)*n*n*n*n*n\/(n\/(n**14*n*n)) assuming n is positive.\nAnswer: n**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, 46, 184, 400?\n\"Answer: 39*g**2 - 57*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*s - 50*s - 2415. Calculate the lowest common multiple of (-29)\/(-4) + (-2)\/8 and s.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -27*f - 243. Calculate x(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 63*q - 20*q)*(-3*q + 2*q + 2*q) + 0*q - q**2 + 0*q + (-4*q**2 + 6*q**2 - q**2)*(3 + 0 + 0) + (-2*q + 2*q + q)*(q + 2*q - 4*q).\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + -1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -127982 bigger than -127980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*m**2 + 306*m**2 + 1891*m**2.\nAnswer: 1950*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*b = -26, 2*b + 12 = 2*g - 0*b. Suppose -2*p + 4 = -2. Let y = -8 - -8. Put y, p, g in descending order.\nAnswer: p, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 2. Let n be v(-1). Suppose n = k + 35 - 198. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782) + -3*(sqrt(1782) - -1*sqrt(1782)) - -2*sqrt(1782)*-2)\/((-4*sqrt(704)*-1 - sqrt(704)) + sqrt(704) + 1*sqrt(704)*-2).\nAnswer: -81*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22.5 or -0.2?\nAnswer: 22.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*o - 0*o. Suppose 3*f + 3*c = 18, -3*f + 2*c = -2*f. Let i(l) = 2*l**3 - f*l**3 + 0*l**3 + 4*l**2 + l**3 - l. Give i(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/3 - (-53 + 56). Let w(o) = 1 - 5 - 3 - 2*o. Determine w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 17. Let s(g) = g + 8. Let r(b) = -3*o(b) + 7*s(b). Let n = 5 + -1. What is r(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -5\/2*a**2 - 1\/8*a**4 + 0*a + 250 - 7\/6*a**3. Solve t(g) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y + 5. Give k(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9758 - -17172. Is c a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153561, -614213, -1381995, -2456931, -3839045, -5528361?\nAnswer: -7524903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x**2 + 1 + 56*x - 30*x - 23*x + (2*x - 3*x + 2*x)*(0*x + 0*x + x).\nAnswer: 14*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2\/125 of a microsecond?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254616872?\nAnswer: 2, 19, 1675111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 equal to 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 0.5. Let r be (-2)\/7 - 66\/14. Let z be (-18)\/(-20)*(-10)\/15. Which is the nearest to w? (a) z (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -17*a**2 - 2*a - 2. Determine i(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + -2 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 11*j + 13. Let l be b(-10). Let x(m) = -1. Let g(k) = -2*k**3 + 2. Let i(z) = l*x(z) + g(z). Differentiate i(t) with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {r: 4, n: 4, s: 4, g: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 15. Let l be u(-3). Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88, 100, 126, 172, 244, 348, 490?\n\"Answer: o**3 + o**2 + 2*o + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 60, 125, 218?\n\"Answer: 14*u**2 - 5*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 162022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 - -204. Let w(k) = -k**3 - 3*k**2 - k - 2. What is w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-49)\/21)\/(3\/(-90)). Suppose -2*f + 2 = -k + 3*f, -5*f - r = -5*k. Calculate the remainder when 69 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.545 rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/24 and 77\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -611110 or -611443?\nAnswer: -611110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1058, 2548, 4472, 6830?\nAnswer: 9622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:50 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*o + 76*o + 1089. Suppose 4*f - 2*m - 1446 = 0, -3*f + 1444 - o = -5*m. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 90089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18591322.\nAnswer: 2, 9295661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1327.6 + -1534.78. What is g rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1904 + 3448. Suppose g = -4*h + 15500. Suppose -q = 3*q - 3*m - 6973, m + h = 2*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.15. Let v = 9 + -8.8. Put s, v, -3\/2 in decreasing order.\nAnswer: v, s, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*y - 176337 = 237*y + 1619*y - 253*y for y.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 18*w = 51*w - 104, 3*w - 13 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s - 9*s - 4*z + 6, 0 = -3*s + z - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4116.8 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1970b0 (base 16) to base 6.\nAnswer: -55422424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 178*j + 1364. Let z be t(-8). Let m(s) = 13*s + 4. Let b(g) = -1. Let p(y) = 144*y + 40. Let a(l) = 5*b(l) - p(l). Determine z*a(u) + 45*m(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*g**3*i**2 - 10671*f*g**3*i - 2*f*g**3 - 103*f*g**2*i**3 - 43*f*g*i**2 + 4*f*g + g**3*i**3 - 14865*i**3 wrt i.\nAnswer: -618*f*g**2 + 6*g**3 - 89190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - -3 - ((6 - 6) + 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 4 + 295\/(-50). Suppose 13 = -q + 3*m, 3*q + q + m = 0. Which is smaller: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(192)*-2 + sqrt(192)))\/(sqrt(100) - -3*(sqrt(100)*-1 - sqrt(100))).\nAnswer: sqrt(13)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - n - 24, 3*g = g + 4*n - 72. Let w = g + 28. What is the second biggest value in -1\/5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/168 and 76\/14091.\nAnswer: 112728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, m: 1, r: 2, k: 2, j: 1}. Give prob of sequence kjrk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1104 (base 7) to base 8\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8796.972 nanograms in kilograms?\nAnswer: 0.000000008796972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:14 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*r - 2*m = 573*r, -r - 5*m = 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5721, -12, -9.05?\nAnswer: -9.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18380708 = -3*j - 44349292. What is j rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43 - -0.13. Let h = 2 - 3. Which is the nearest to -3? (a) h (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/2 - 109116*s**3 - 1984383576*s**2.\nAnswer: -3*s**2*(s + 36372)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -181 + 170 - (-2 + 0 + -2 + 20 - 5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-2970))\/((-5)\/(-9)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 4*c + 2. Let d = -54 - -60. Let n(a) = 2*a**2 - a**2 + d*a + 1 - 5*a - 2*a**2. What is 3*n(t) - q(t)?\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 84*m - 5. What is the hundreds digit of t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8935.\nAnswer: 5, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -10 (b) 3 (c) -8 (d) -2101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s**2 - 1. Let d(p) = -p**2 - 4*p - 2. Let k(g) = -2*g**3 + 4*g - 2. Let b(q) = -d(q) - k(q). Give b(n) - m(n).\nAnswer: 3*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 160285 = -5*d, 2*d = -5*s + 10*s - 160297. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 2*j + 4*j**3 + 0*j**3)*(7 - 81 + 2)*(-22 + 22 - 4*j**2 + (-5 + 4 + 2)*(j**2 + 0*j**2 - 2*j**2)).\nAnswer: 360*j**5 + 720*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/9)\/(3\/9). Let w = -8 - m. Calculate the remainder when 10 is divided by (14 - 5)\/(w\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.146*-7166\nAnswer: -1046.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -86. Let k be (14 - r) + (1 - -2). Solve -10 = -k*y + 7*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + s = -5416, -f - 3*s = 3*f - 7217. List the prime factors of f.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156632549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5)\/k*k*k*k**6*k)**(-19\/4) assuming k is positive.\nAnswer: k**(-133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0)**(-11\/8) assuming h is positive.\nAnswer: h**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7885806.\nAnswer: 2, 3, 1314301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -16 - (813 - 841).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4354 is divided by 366?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 1. Let t(m) = m**2 + m + 3. Give -3*d(r) + t(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**4 + 168*p**3 - 1376*p**2 + 3072*p = 0.\nAnswer: 0, 4, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 2, x: 6, z: 1, o: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14865522 and 354?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1 - 2 + 3 - x**2 - 6*x. Let w be o(-6). Solve 0 = -5*v + 3*y + 16, v - 5*y = -w*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j\/(j*j**13)*j*j*j*j)**(6\/19) assuming j is positive.\nAnswer: j**(-36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: a3086 (base 11) to base 12\nAnswer: 73115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 521*f**2 - 2*f + 6. Let p(h) = -1048*h**2 + 5*h - 13. Calculate 2*p(n) + 5*w(n).\nAnswer: 509*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*w = 44419, -2*v - 5*w = -9*w - 22202. List the prime factors of v.\nAnswer: 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248006 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -35*i. Let w(h) = 564 - 20*h + 560 - 1688 + 564. What is w(b(d))?\nAnswer: 700*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-2752)\/129)\/(-64))\/((68\/(-6))\/(-2))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-18616\nAnswer: -37232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 9*x - 13 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 + 134 - 50 = 3*j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 86?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2722 + -799. Suppose -3*s - 4*j + r = -3*j, -1290 = -2*s + 2*j. What are the prime factors of s?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 z when four letters picked without replacement from {z: 2, h: 4, o: 6}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009802 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.4233 weeks in minutes?\nAnswer: 941706.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4140)\/4095 + 6\/7. What is the nearest to 3\/8 in 0.5, l, 2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 + 5*n + 1. Let p be d(-3). Suppose 0 = 8*i - p*i - 8. Solve -i*b = 2*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -4*g**2 + 1\/20*g**5 - 162*g + 0 - 7\/3*g**3 + g**4. What is f(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*t**2 + 92*t**2 + 1814*t**3 + 96*t**2 - 294*t**2 wrt t.\nAnswer: 10884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 10*t - 25. Suppose 4*u + u = -t*b + 14890, b - 2*u = 2963. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 94\nAnswer: -43\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5310 by 12604.\nAnswer: -2655\/6302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.25 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2*d**2 + 7)*(d + 108 - 112 + 0*d).\nAnswer: -2*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31335, -31190, -30935, -30564, -30071, -29450?\n\"Answer: z**3 + 49*z**2 - 9*z - 31376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3510\/(-162)*30\/25.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 31190551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182382595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3751*f**2*g**2*v - 45*f**2*g**2 - 879*f**2*g*v - 3318*f*g**2 + 2*f*g + 3*g wrt v.\nAnswer: -3751*f**2*g**2 - 879*f**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 419b7 + 4?\nAnswer: 419bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 552 = -57*x - 952 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22277 = -30*r - 5443. Let k = 1544 + r. Is 31 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 15. Which is the nearest to 0? (a) t (b) -5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1169255\/28 + 41752. Let p = t + -1\/7. Calculate the common denominator of p and 77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:48 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*k - k. Let q be (-10)\/55 + 26\/22. Calculate the remainder when 1*4 + q\/(-1) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 10*a - a. Which is smaller: 1\/38 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2757321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12*z. Let n(a) = -a**2 + 3*a - 3. Let l(w) = -4 - 7*w**2 - 6*w**2 + 11*w**2 + 7*w - 3*w. Let c(s) = 3*l(s) - 4*n(s). What is b(c(p))?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -125324 at most as big as -2255833\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) + 3\/5. Let n(j) = j**2 + 5*j + 13. Let q be n(-4). Let o = q + m. Solve d + o = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9365651 and 380?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*f**4 - 5258*f**3 + 5258*f**3 + (-5*f**3 + 7*f**3 + 5*f**3)*(-3*f + f + 4*f) in the form r + l*f**4 + m*f + q*f**2 + j*f**3 and give l.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112 - -31. Let g = -81 - f. Suppose g = 28*c - 25*c. Solve 0*s - 4*s - 2*u + 2 = c, -7 = -5*s + 2*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 2*u + 6. Let n be a(0). Let l be -7 + 14 + n - (-6)\/(-1). Solve -l*z = -z - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6)*-1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2 + 508*n + 745. Give k(-62).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 14 + 2509*v - 2509*v + v**3.\nAnswer: v**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, e: 5}. Give prob of picking 2 e.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 - 41672*z**3 + 125034*z**2 - 8*z - 166712 = 0. What is z?\nAnswer: -20839, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = -125*f + 1251 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, 0.9, 0.02, -0.72?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/11)*s**(-6))**(-1\/13) assuming s is positive.\nAnswer: s**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.9867 times -15168\nAnswer: -30134.2656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 4*z**2 + z + 3. Let w(c) = -c**2 - 8*c + 43. Let t be w(4). Let j be 6\/(60\/t) + 86\/4. Suppose j*p + 64 = 5*p. Calculate l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55, 53, 55, 67, 95, 145?\n\"Answer: b**3 - 4*b**2 + 3*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + -0.016?\nAnswer: -82.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 156 = -5*z. Let b = z - 13. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60059642*u**2 + 2905288*u + 5 wrt u?\nAnswer: -120119284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.896 - 0.104. Let d = 4 + z. Let t = d + -41. Which is greater: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212273 and 777202?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 - -1319968183.9472\nAnswer: 1319968196.9472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 - 146. Let g(l) = 12*l**2 - d*l + 17*l - 9*l**2. Let a(c) = c**2 - 11*c. Give g(a(r)).\nAnswer: 3*r**4 - 66*r**3 + 363*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 - 3*b - 4 + 2*b - 38 in the form x + u*b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1530, -3055, -4580?\n\"Answer: -1525*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-4) + (-7077)\/(-6). Suppose w = 346 + k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2084989\/42 - -49640. Calculate the common denominator of i and 20\/14*(-12)\/(-35).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5298, -5348, -5424, -5520, -5630, -5748, -5868, -5984?\n\"Answer: u**3 - 19*u**2 - 5280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 522aac (base 14) in base 2?\nAnswer: 1010100101001000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -17 - (-2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-20) - 12346\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841471051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:03 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 72 (b) 2 (c) -20 (d) 3.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7463 and 4\/153.\nAnswer: 67167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6711.18519 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 963 and 214.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -2*b**2 + b + 5\/3*b**3 + 0 - 1\/12*b**4. Calculate the remainder when v(7) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 45*x**3 + 90*x**2.\nAnswer: 5*x**2*(x - 6)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 15. Let c be w(-7). List the prime factors of (122\/14 - c)\/(6\/28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1935 * 5\nAnswer: -9675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2209, 4417, 6625, 8833, 11041?\nAnswer: 13249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t + 8*t - 4070 = 20*t + 49*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (2*sqrt(175))**2.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 5, m: 1}. Give prob of picking 2 u and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -20473313\nAnswer: -40946626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l**5 + 45588*l**4 + 1873552*l**3 - 93905152*l**2 - 127650944*l - 42818880 = 0. What is l?\nAnswer: -1222, -73, -2\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 11 - 3*n + 14 - 22 - 14*n**2 + 3*n**2 in the form d*n**2 + q + v*n and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16437 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/44515?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16)*(-4)\/(-1). Let j be -24*(-168)\/(-9)*1. Let m be 304\/j + 6\/8. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6314.459um?\nAnswer: 6.314459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 67. Suppose 5*b = s + t, -3*s + 4 - 24 = -4*b. Suppose -3*w = b*q - 111, 5*q = -2*w - 0*w + 74. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -4, -0.3, 5\/4.\nAnswer: -4, -0.3, 5\/4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2564065 is divided by 15538?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let z(s) = -551*s**2 + 116*s + 116. Let h(g) = -5 + 29*g**2 - 3*g - 5*g**2 - 2*g. Let r(w) = 116*h(w) + 5*z(w). Give r(d(v)).\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3681.131 - 29.769. Round d to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2603944 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: Calculate prob of picking 1 p and 3 j when four letters picked without replacement from {p: 5, x: 2, j: 7}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 3. Let r = z - -2. Let s(m) = -m**3 + 2*m**2 + 4*m - 1. Determine s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -282, -284, -286, -288, -290?\n\"Answer: -2*c - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 11*m**2 - 7*m - 7. Let a(v) = v**2. Let u(r) = -6*a(r) + c(r). Let p be u(-5). Suppose -78 = -2*t - p. Round t to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = 9*o - 325 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Let k(y) = -y**3 + 13*y**2 + 19*y + 7. Let u be k(14). Suppose 0 = -73*l + u*l - 32. Sort -4, b, l.\nAnswer: -4, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4769.09um to millimeters.\nAnswer: 4.76909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 3. What is m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 2*z + 16. Suppose -x - 2 - 2 = -2*k, 0 = -3*x - 12. Let r be p(k). Suppose 5*i - 76 + r = -5*y, 4*i - 36 = -3*y. Is y equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 6*n - 2. Let f(u) = -12743 - 12741 + 25485. Calculate 3*f(b) + p(b).\nAnswer: -b**2 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-16))\/(1\/(-410)). Let t = a + -1823\/3. Factor 0 - 4\/3*k + t*k**2 - 10*k**3.\nAnswer: -2*k*(3*k - 1)*(5*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 510 and 60333?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1799, 1813, 1827?\n\"Answer: 14*f + 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, -16, -1021 in ascending order.\nAnswer: -1021, -16, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**7\/105 + q**6\/30 - q**4\/6 - q**3\/3 - 48*q**2. Factor t(m).\nAnswer: 2*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 260*x + 323*x + 39 + 14.\nAnswer: x**2 + 63*x + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 150772014, 150772011, 150772006, 150771999, 150771990, 150771979, 150771966?\n\"Answer: -i**2 + 150772015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147.76 + 145. Let y = d - -2.7. What is the smallest value in y, 3, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -2. Let o(w) = w**3 + 5*w**2 - 7*w - 6. What is the units digit of o(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 4*m**2 - 6*m - 1. Suppose g = -w - 10 + 2, 0 = -3*w - 9. Let a be y(g). What is the highest common factor of 28 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145629*n**2 + 211452*n**2 + 88724*n**2 - 49985*n**2.\nAnswer: 395820*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 - 2*n**2)*(-2*n - n + n) - 5*n**2 + 5*n**2 + n**3 + 8 - 16 + 2*n**3 + 7.\nAnswer: 5*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10648, -12050, -14368, -17590, -21704?\nAnswer: -26698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 110201?\nAnswer: 110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4293 + -3945. Calculate the least common multiple of 156 and p.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -112?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -266 (c) 0.3 (d) 0 (e) 1 (f) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 25 + (9 - (-3 + -11 - (-18 + -13))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-6)\/3) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:01 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q - 2\/3*q**3 + 99 + 15\/4*q**4 - 18*q**2. Find the second derivative of g(t) wrt t.\nAnswer: 90*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29933473*-2\nAnswer: -59866946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x - 7. Let w be d(4). Let l be (-19)\/(15675\/(-410)) + 2\/(-15). What is the nearest to -0.1 in l, 4, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 64. Let k be x(18). Suppose -3*q + q + 22 = 0. Calculate the remainder when 27 is divided by (q\/4)\/((-11)\/k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/120 + u**5\/12 - u**4\/6 + 2*u**3\/3 - 82*u**2. Let h = 1 + 2. Give f(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 12:30 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 3023933347?\nAnswer: -3023933342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -1\/2*u**3 - 2*u**2 + 1\/20*u**5 - 5*u + 1\/2*u**4 + 0. Is h(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3\/14, -2061?\nAnswer: -2061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1170 divide 7194422363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:32 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 159\/483 - 4\/14. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2 - 1\/2*u**5 + 1\/2*u**4 - 1\/2*u + u**3 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 59. Let n = 9 + -6. Solve x + 4*m = -3, t*m - 3*m - n = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -430*f + 435. Determine m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 20*i + 2. Let h be j(-2). What is the remainder when 99 is divided by -1 - (1*h + 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2. Let s(m) be the second derivative of -m**4\/4 + 3*m**3\/2 + 4*m + 11. Let z(t) = t. Let h(u) = s(u) - 9*z(u). What is h(b(x))?\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - -0.79. Let x = -0.3 - r. Let b = x + 1.20058. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 - (-8 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1573) + (sqrt(1573) + -1)**2 + 4*sqrt(832)).\nAnswer: -7870 - 105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 9. Let s = 1 - i. Calculate the least common multiple of 10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -1, 91, 4 in ascending order.\nAnswer: -10, -3, -1, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2 + 2 - 6 + 6*x - x**2. Let f be m(5). What is the greatest common divisor of f and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**4 + 120*c**3 - 14*c**4 + 22*c**3 + 13*c**3 + 14*c**4 - 330*c**2 = 0.\nAnswer: -33, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.133 - -0.927. Let y = -0.96 + z. Which is the closest to -1? (a) 4 (b) y (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 1. Let h be a(-6). Suppose -834 = -5*b - h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 87?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**3\/3 - 2*q**2 - 2*q. Let i be z(-6). Suppose -3*n + i*n - 100 = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4*x + 3*x)*(x + x - 4*x + 0*x + 5*x - 3*x + 0*x + 0*x - 2*x + (-3*x + 4*x - 3*x)*(0 + 1 + 1))*(-21*x**3 + 3*x**2 - 3*x**2).\nAnswer: -378*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 7*b - 7. Let v be o(10). Suppose g - 4*k - 123 = 0, 240 = 2*g + 3*k - 8*k. Calculate the greatest common divisor of v and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211411974 divided by 35235329\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*q**2*s**3 - 2*n*s**3 + n*s**2 + 5867022*q**2*s**3 - 2*s**2 + 1651036 wrt q.\nAnswer: -2*n*q*s**3 + 11734044*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.954 - 129.946. Let m = q - -133. What is the nearest to 0 in 1, 1\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*h = -121*h. Solve h + 0*m**2 - 1\/4*m**3 + 1\/4*m = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:24 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7427.624 tonnes in micrograms?\nAnswer: 7427624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 0*l**2 - l**2)*(-1 + 7 - 2)*(-38*l - 30 + 30).\nAnswer: -152*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 - 69500*l**3 - 208496*l**2 - 625484*l\/3 - 69498.\nAnswer: -2*(l + 1)**3*(l + 104247)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 4 (c) 2\/13 (d) 3 (e) -0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8286*g**3*n + 2*g**3 - 18*g**2*n - 2*g*n - 44*n + 1 wrt g.\nAnswer: -49716*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v = 41*v + 30. Let a be (-4)\/(-3) + v\/(-9). What is b in b - a*b**3 + 1\/3 + 2\/3*b**2 - b**4 - 1\/3*b**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let l be (-4)\/28 - 30\/(-14). Let u(i) be the first derivative of 0*i - 2\/3*i**3 + 1 + 0*i**l. What is x(u(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z. Let r be n(-1). Let j = r + 2. Suppose 2*a + f - 17 = -4, 0 = -5*a + 2*f + 37. Calculate the remainder when j is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.29 - 0.71. Which is smaller: 32 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197612 + -0.2.\nAnswer: 197611.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 491, 819, 1351, 2087, 3027, 4171?\n\"Answer: 102*o**2 + 22*o + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v - 38*v + 282*v - 41*v - 79*v - 39*v - 44*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4089 + 3992. Which is the third smallest value? (a) v (b) 0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 752*h**3 - 4 + 747*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 1, v: 1, m: 8, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 0 - 6 + 4*d)*(0 + 6 - 2) to g + l*d and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1188519, 1188512, 1188491, 1188450, 1188383, 1188284, 1188147, 1187966?\nAnswer: 1187735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9577388 - -0.0423912. Let y = -0.7 - -3.7. Let b = p - y. What is b rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2123024031 + -3?\nAnswer: 2123024023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, 19923, 15 in increasing order.\nAnswer: -14, 2, 15, 19923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*y = -0*f, 4*f - 21 = -y. Suppose f*q + 207 = 8*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 0*b**3 - 1\/210*b**6 + 2\/735*b**7 - 79*b**2 + 0 - 4\/105*b**5 + 0*b + 2\/21*b**4. Suppose h(c) = 0. What is c?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49997 - -71866. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483115716.\nAnswer: 2, 23, 16120823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -45.0211. What is d rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46380689 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 24, 1, 2\/29, 1\/6, -2\/5 in ascending order.\nAnswer: -4, -2\/5, 2\/29, 1\/6, 1, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53569194?\nAnswer: 2, 3, 7, 1275457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -120221021?\nAnswer: 120221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 393226, 786468, 1179710?\n\"Answer: 393242*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572382361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from carcmmmorkrmmrmkm. Give prob of picking 2 m and 1 o.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**2 + h - 4. Let b be v(4). Let c = b - 81. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.46 + -28.459991004. What is o rounded to 7 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 15. Let n be s(4). What is the first derivative of -h - h - n*h + 25 wrt h?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13163, -13033, -12889, -12725, -12535?\nAnswer: -12313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5457 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2945*f**3 - 1465*f**3 - 1473*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 43 = 2*k. Let t(i) be the third derivative of 0 + 0*i**4 + 0*i**3 + 1\/60*i**k + 1\/40*i**6 - i**2 + 0*i. Find the third derivative of t(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - p - 10 = 6, -4*p = -f + 9. Suppose 0 = -f*s + 7*s - 4. Solve n - 9 = -s*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(1\/4)*x)\/x*x))**41*x*(x**(-5)*x)\/x*x*x*x**(2\/5)*((x**(-2\/27)*x)\/x*x*x**(-1\/8))\/(x\/(x*x\/x**(2\/13)*x)*x**(2\/9)\/x) assuming x is positive.\nAnswer: x**(-118289\/14040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 + -5)) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6302 smaller than 63\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4 + 9*l**3 - 14*l**2 = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 766523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**7\/126 - 19*q**6\/18 - 1103*q**5\/30 + 208*q**4\/3 + 256*q**3 + 1415*q. Let l(j) = 0. Calculate j.\nAnswer: -48, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 112*v**5\/5 + 28388*v**4\/5 - 4606368*v**3\/5 + 2453437*v**2\/5 + 197422*v - 532896\/5 = 0.\nAnswer: -366, -13\/28, 1\/2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let p(l) = -2*l + 10. Let b be p(0). What is the remainder when ((-132)\/b)\/(12\/(-30)) is divided by o(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.08 (b) -1 (c) 0.3 (d) -3 (e) -2\/15 (f) 0.029 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 122.2567l?\nAnswer: 122256.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -751\/4. Let q = p - 61\/28. Let 0 + 4\/7*v**2 - q*v = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246832528 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c*v + 531195569*c + 714610*v**3 - 13*v**2 wrt v.\nAnswer: 4*c + 2143830*v**2 - 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002155759 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -274680, -274681, -274682?\n\"Answer: -h - 274679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1424272 + 115256363054\/80923. Are s and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 7*k**2 - 6*k + 2. Let w be i(6). Find the second derivative of 8*b + 16*b + w*b**5 - b + 19*b**5 wrt b.\nAnswer: 420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 304 or -56757?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -53. Suppose o*j + 0 + 130 = 0. Let d be (2 + j\/6)*(-6)\/21. Which is the nearest to -1? (a) -3 (b) -8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1755\/10 + 1\/(-2). Suppose t = 5*u - 5*z, -2*u + 7 = 5*z - 91. Suppose -3*j + u - 3 = 0. Calculate the highest common divisor of 84 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-2*-2*1 - ((sqrt(133)*1)\/sqrt(7) + sqrt(19) + -1*sqrt(2299)).\nAnswer: 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 18. Let m(k) = -5*k - 19. Let n(p) = 5*m(p) - 6*y(p). Let t be n(7). Let b be t\/((2 - 1) + 0). Let g(w) = w**2 - 6*w + 8. What is g(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 31. Calculate r(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 8:57 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 17. Let z be k(-7). Solve z*u = 3*x + 16, -x + 6*u = 2*u + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + ((sqrt(243) + sqrt(243)*3)*-6 - (2 + sqrt(243) + sqrt(243) + 2 + sqrt(243))).\nAnswer: -243*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/51)\/((-5684)\/408 - (-5 + -9))?\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c*c*((c\/c**1*c*c*c)\/c)\/c*c)*c)**(42\/5))**(-2\/33) assuming c is positive.\nAnswer: c**(112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/11 + 238*r**3\/11 + 3144*r**2\/11.\nAnswer: -2*r**2*(r - 131)*(r + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 - -1001001001110110?\nAnswer: 1001001010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Let y(o) = 174*o - 2929. Let f be y(17). Solve -f = -8*i + n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, l: 10, m: 2, p: 3}. Give prob of sequence yppm.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 12. Let v = -2 - j. Let q(y) = 21*y + 194. Let f be q(-9). Solve -f*n - v = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 14. Let m be 1\/20 - 5\/v. Let t = -13\/21 + 2\/7. Which is the third smallest value? (a) 4 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -553957 * 2.\nAnswer: -1107914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 + 11*k - 51. Let z be f(6). Is 336 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(14)\/(sqrt(21)\/sqrt(3)) + 3 + -2.\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 3*d + 0*d)*(42 - 19 + 22595*d + 4 - 13 - 14) in the form g + o*d**2 + t*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -971.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 7*w - 0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.095, -0.23, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.4*5272677.\nAnswer: -54835840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let w(d) = -7*d + 18. Let m(y) = 20*b(y) - 5*w(y). Let h be m(6). Let a = -3 + 5. Put h, 1, a, 3 in increasing order.\nAnswer: h, 1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, 678, 2614, 6412, 12696?\n\"Answer: 104*a**3 - 5*a**2 - 15*a - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgdigrifgrrgrrrrdrzf. Give prob of sequence df.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (21 - 17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/((-8)\/12). Differentiate 4 + m + 4*l**3 - 5*l**3 with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h. Let a(d) = 10*d**2 + d**2 - 5*d**2. What is f(a(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*i + 12. Let u = -2 - i. Let l(p) = -p**3 + 5*p**2 - 6*p + 1. Calculate l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 4*n**2 + 3*n. Let s be ((-9)\/(-6))\/((-3)\/4). Let v be d(s). Suppose -v*k = k. Is k greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 39306 + 5933\nAnswer: 45239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -4*g - 23. Let l = g - -51. Let c(u) = -u**3 + 5*u**2 - 3*u + 10. Calculate the remainder when l is divided by c(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - 0) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4496854.048 and 0.\nAnswer: -4496854.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15318 (base 9) to base 11.\nAnswer: 7955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19768952 divided by -50431.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9523 = -16*t + 40205. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 53618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057 plus -0.383?\nAnswer: -0.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*i = -242*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/9, -94.\nAnswer: -94, -4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196925 = -13745*r + 727375 for r.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -26753608\nAnswer: -802608.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 17. Let l = -790 + 777. Calculate d(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g**2 + 41*g**2 + 2*g**2 - 85*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -95*p**7\/84 - 29*p**6\/6 + 2*p**5 + 145*p**4\/12 + 5*p**3\/4 - 5166*p. Suppose o(c) = 0. Calculate c.\nAnswer: -3, -1, -1\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191456 by 193.\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 3. Suppose 3*x - u = 2. Suppose x*j = 41 + 13. Solve p - 5*s - 24 = 0, 2*s - 6*s = -2*p + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 1)*6\/(-4). Suppose 4*z - 64 = -4*j, 0 = -k*z - 3*j + 7*j + 34. Suppose -l = -z - 12. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/12*(-12)\/63*(-630)\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 2*m = -125828, -5*o + 136252 = -m + 31414. What are the prime factors of o?\nAnswer: 13, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {b: 1, y: 1, h: 1, v: 1, i: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**1\/m)))\/(m*m\/((m\/m**(4\/7))\/m))*(m**(-2\/5)\/m)**(6\/5) assuming m is positive.\nAnswer: m**(-569\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 - 1. Let i(m) = 3*m**2 - 32 + 13 + 13 + 5*m**2 - 14*m**2 + 8*m**3. Calculate -4*b(w) + i(w).\nAnswer: 4*w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1393\/4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341364 (base 8) in base 11?\nAnswer: -3a7705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/7 - 778154*y**3\/7 - 151380133773*y**2\/7 + 302762602012*y\/7 - 151381690084\/7 = 0. What is y?\nAnswer: -389078, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32699 - 0.051.\nAnswer: -32699.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2253779*f**5 - 56*f**2 - 309163077*f wrt f?\nAnswer: -45075580*f**3 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)\/((h\/(h*h**(2\/3)))\/h*h)*(h**(1\/7)\/h)\/h**(3\/4) assuming h is positive.\nAnswer: h**(-115\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1)\/4*288\/(4 + -13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b + 2*b - 4*b + 3 - 1 + 5*b. What is o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196820 is divided by 1330?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 4293062*n + 4607595333961.\nAnswer: (n + 2146531)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q. Let y(m) = 1. Suppose 4*x = 6*x - n - 3, 0 = 4*x + 4*n. Let k(a) = 0*a**2 + a**2 + 29 - 27. Let u(v) = x*k(v) - 2*y(v). Determine u(s(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 16. Suppose -3*f - 1 = 20. Let g be v(f). Suppose i + 4*m - 14 = 0, 14 = -4*i + 4*m - g. Let s(l) = l**3 + 5*l**2 - 4*l + 8. Calculate s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544586923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -4312, 0.3, -3\/2, 4, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 81 = 336 - 3 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 1. Let k be y(2). Let j(m) = m**2 - m - 1. Let h(t) = 2*t**2 - 3*t - 3. Calculate k*h(r) - 3*j(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 46 + 150 = 0. Let b be (0 + 1 - 11) + 18 + -16. Let z be 3\/(-6)*b\/j. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 31*g - 19 = -34*g, 22 = 2*c + 4*g. Solve -21 = -4*w - 0*z - z, c*z + 10 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(300)*3 - (sqrt(300) + -3 + -4))*-6)**2.\nAnswer: 5760*sqrt(3) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 44*l**2 - 196*l + 196. Let t be n(48). Solve -t*h + v + 20 = 0, 6*v - 10*v = -5*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*r - 3*a + 2, 0 = -5*r - 2*a + 15. Suppose 0 = 4*g + 3*u - 9, -2*g - 4*u + u + 3 = 0. What is the greatest common divisor of r and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 108 + 187413*w**2 - w**3 - 187414*w**2 to the form x*w**3 + m*w**2 + a + r*w and give a.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 766583\nAnswer: 11\/766583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*f + 37. Let o = 243 + -133. Calculate the greatest common divisor of o and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -520712 and -45.1449?\nAnswer: 520666.8551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by 6\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -0*m. Suppose 5*l = -2*a + 14, -3*l + 7 = -2*l - a. Determine w, given that -2*w**2 - 3*w**m + 5*w**4 + 0*w**2 + 0*w**l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*g - 57 = -57. Is g bigger than -0.0979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20046 by 2.\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 5*w + 3. Let h be g(-5). Let y be (0\/8)\/(-1 + 2). Sort 1, y, 5, h in ascending order.\nAnswer: y, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 21 = -5*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3462*s**5 - 11*s**4 - 73040*s wrt s?\nAnswer: 69240*s**3 - 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + d**3 - 2 + 0*d**3 + 2*d - 3*d**2. Suppose q = 3*v - 0*v + 11, -v - 13 = -5*q. Let b = 1 + q. Determine x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -37260849.\nAnswer: -11178254.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 119710260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f - 6. Let j be w(-12). What is the highest common divisor of 168 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (2 - (-1066 - -8)). Let f be (-4)\/18 + 266\/(-18). Is (q\/f)\/((-1)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -4*u - 49 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201110 - 2?\nAnswer: 201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 41. Let f(p) = -7*p - 43. What is 5*f(g) - 6*h(g)?\nAnswer: -5*g + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 - y + y + (y + 3*y - 3*y)*(3*y + y - y) + 15 - 15 + 7*y**2 + 11*y**2 - 31 + y + 31.\nAnswer: 17*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 21. Let m(k) = 8*k - 31. Let g(t) = -7*i(t) - 5*m(t). Suppose -30 = 2*w + 3*w. What is the remainder when g(w) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1097 and 332336.\nAnswer: 332335.8903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 - 8*s**2 - 8. Let y(g) = -g**3 - 5*g**2 - 5. Let f(x) = x**3. Let d(c) = -5*f(c) - y(c). Let h(o) = 8*d(o) + 5*w(o). Factor h(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 15 + 5\/2*h**2 - 2*h. Let j(f) be the first derivative of -f**2\/2 + 2. Determine -4*j(v) - w(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 5*b - 3. Determine g(-8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajaaattttatarv. What is prob of picking 1 j and 1 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498132379 is divided by 2559?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 12*l**2 - 192. Determine v(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x - 11. Let f be (3\/6)\/(3\/66). Suppose -14*q + f*q = -30. Does 16 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.929 + -81.329. What is m rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*x + 49 = -306*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*a**3*p - 2*a*p - a - 476*p with respect to a.\nAnswer: 105*a**2*p - 2*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.583 - 3.483. Let h = -31 - -31.4. What is the biggest value in g, -2, h, -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/312 and 59\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k**2\/k*(k**(1\/4)\/k)**19*(((k**(-2\/9)*k)\/k)\/k**(2\/19))**(-2\/31) assuming k is positive.\nAnswer: k**(-259301\/21204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 33 + 27. Let h be (p\/(-8))\/(2\/(-4)). Suppose -b - 68 = -h*b. What is the greatest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65304038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -5786616?\nAnswer: -5786623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59011877 - 10*h - 59011877.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.249, 54\/977 in decreasing order.\nAnswer: 54\/977, -0.249, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 6, s: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 3550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12355554 (base 7) to base 13\nAnswer: -304371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3256 + 333515?\nAnswer: 340104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*n - 295, 5*c - 2*n - 1350 = 3*n. Let i = c + -30. Calculate the remainder when i is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*d = -2*d + 4, 5*m + 1 = 4*d. Suppose z = m*z - 7382. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(567)*-2 + 4).\nAnswer: -24 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 980, 979, 978, 977, 976?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1450*x - 10168. Give v(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*d*f**5 + 18*d*f**2 + 100*d*f - 70*d wrt f?\nAnswer: 3820*d*f**3 + 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 127979.69069 to the nearest 1000.\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8794.17 - -8701. Let k = -0.17 - m. Let c = k + -161. Which is greater: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272 - 209. What is the greatest common divisor of 756 and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122.98 times 8428\nAnswer: 1036475.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-63)\/(-30) + (-5819)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 106720\/128 + (-2)\/(-8). Let g(k) = -416*k + j*k + 9*k**2 + 3 - 416*k. Determine g(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93162.05 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (1 - 13) + 22 - 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 9810 = -12*x. Suppose d + 159 - x = 0. What are the prime factors of d?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6.1, 969949 in descending order.\nAnswer: 969949, 5, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 0.03, -1, -0.054?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 2*f**2 + f - 5. Let o be m(3). Let b = -30 + o. Suppose 17 = 3*k - b. What is the highest common divisor of k and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 35 = -17*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440947 divided by -9803?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.743 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 664650 and 1107750.\nAnswer: 3323250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 18*k**2 + 11*k - 19. Suppose 6*z - 21 + 57 = 0. Is d(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 5 = -6*l. Suppose -23 = -l*k - g, 3*g - 14 - 3 = -2*k. Solve -2*j = -2*n - n + 16, -4*j - 12 = k*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/256*6\/(-36). Is o at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333*k - 579*k + 421*k - 1926*k + (0 - 1 + 0)*(k + 0*k - 2*k) to the form j*k + i and give j.\nAnswer: -2416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c9354 - 5?\nAnswer: 1c934c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 16 = 8. Let w be 9\/(-2) + (-2)\/(-4). Put g, 2, w in increasing order.\nAnswer: w, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 11) + -12 + 16 + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48300163*d**3 - 23440060 wrt d?\nAnswer: 144900489*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -7, 12, 10 in increasing order.\nAnswer: -40, -7, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29535\/12112 + 3\/3028. Find the common denominator of 1 + -2*(-204)\/128 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umfe when four letters picked without replacement from uuiifmifiiumuemmumes?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60673*p + x = -60676*p - 21, -2*p - 4*x = 4 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -94590 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -165.4.\nAnswer: -165.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3661\/4 - 925. Let j = k + 265\/28. Let x = 2.3 + -0.3. Which is the nearest to j? (a) 0 (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4032*g**2 - 12080*g**2 - 16 + 3 + 4042*g**2 + 4003*g**2.\nAnswer: -3*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 20 = 5*h - 10*h, -3*w + 42 = 3*h. Let x be (-42)\/((12\/w)\/2). Let v = x + 164. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2648, -3188, -3730, -4274?\n\"Answer: -k**2 - 537*k - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 894 + 366 = 0. Suppose -2850 = -28*u + 9*u. Calculate the greatest common factor of b and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000074938 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5708 at most -3476198\/609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdggnvn. What is prob of picking 3 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*v - 129 + 49, 95 = 4*s - 3*v. Suppose 0 = 9*j - 4*j - s. Factor 2*o**j + 30\/7*o**2 - 4\/7 + 2\/7*o + 38\/7*o**3.\nAnswer: 2*(o + 1)**3*(7*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31366, -31368, -31370?\n\"Answer: -2*s - 31364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -390178 minus -49.319?\nAnswer: -390128.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*b + 23. Let c(p) = -2 + p - p + 2*p**2 - p. Let s be c(-2). Solve -2*v = -a - b, -5*v + 19 = a - s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/8593335 and 31\/105?\nAnswer: 60153345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-4))\/((-2)\/556). Suppose -7*k + 927 = -424. Suppose -4*d = -i - k - l, 5*d - 3*i = 1103. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4965 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.2966 + -0.0034. Let b = t + 41. Let x = 5.33 - b. Round x to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -558 by 4386.\nAnswer: -93\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3 - (-19)\/(95\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6\/(-18))\/(1\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3961225, -3961232, -3961237, -3961240, -3961241?\nAnswer: -3961240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0\/k)\/(k\/(k**(-2\/13)*k)))**(1\/3))**(19\/3) assuming k is positive.\nAnswer: k**(-95\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 39, -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 31, -1, 14 in descending order.\nAnswer: 31, 14, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llf when three letters picked without replacement from lffffffffffflffuf?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/354*23749848979\/(-79156880). Let r = t + -1\/22818840. Let w = 3\/307 + r. Find the common denominator of w and 32\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -4, -2 in descending order.\nAnswer: 1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135.8 - -137. Is h not equal to -1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -950*l + 1142. Let s be m(1). Solve -f + 196 = s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7031*p**3 - 6*p**2 + 4*p - 3. Let v(c) = 4*c**3 + c**2 + c + 1. Let o(m) = -j(m) - 5*v(m). What is the third derivative of o(q) wrt q?\nAnswer: -42306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -192\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5832.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/18*(-66)\/(-968)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1319 + -1330.01. Let b = w + 0.01. Let j = -10.968 - b. Round j to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 2)*(1 - 1 + 3*k)*(-105 + 211 - 1727)*(-3*k**2 + k**2 + k**2) to d + f*k**3 + g*k**2 + o*k and give f.\nAnswer: -14589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 7*m**3\/3 - 17*m**2\/2 + 2*m - 64. What is the units digit of s(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*1)\/(315\/210).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 2*b - 15. Does 5 divide f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28*n. Let u(x) be the first derivative of 7*x**5\/120 - 157*x**3\/3 - 120. Let q(y) be the third derivative of u(y). Determine -21*q(g) + 5*z(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**3 - 7\/5*i**6 + 1 - i**2 + 4*i + i**5 + 3\/7*i**7 + i**4. Solve l(r) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -38\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78884 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47688, 95195, 142698, 190197, 237692?\nAnswer: 285183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 15) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 21*j + 29. Determine z(18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13134 = -5*d - 4*p, 5*d - 6*p + 5*p - 13154 = 0. Suppose -695 = -5*f + d. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425858796 divided by -4301604?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -16.24. Let k = n - -0.04. Let q = 4 - 4.4. Which is the closest to 0.3? (a) 4 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wttd. What is prob of picking 1 t, 1 w, and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14.8944017 from -0.4.\nAnswer: 14.4944017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/120 - g**5\/5 + 5*g**4\/12 - 13*g**3\/3 - 708*g**2. Give r(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 + 252. What is the smallest value in -2\/7, 15\/8, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1563*d + 386945 = -7516*d for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67220 and 150520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56836, 56625, 56272, 55777, 55140, 54361?\nAnswer: 53440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -11. Let o be -1*(3 - 2)*p. What are the prime factors of ((-2)\/(-4))\/(o\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*m - 18 = 0, c - 3*m = -2*c. Let w be -5*(-1)\/(2 + c). Let t(h) = -4*h. List the prime factors of t(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/5, -570 in descending order.\nAnswer: 1, -3\/5, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i - 2. Suppose 2 = -0*z - z. Let y be a(z). Let n be ((-42)\/(-4))\/(3\/4). Calculate the greatest common factor of n and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.3 + 5.6. Let n = -23 + 21.9. Let b = 3.9 - n. What is the closest to 1\/3 in -1, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -24.3. Let r = -168934.69978 - -168933. Let w = r + h. What is w rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 19 (c) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -130. Suppose -11*f - 184 = -12*f. Calculate the remainder when f is divided by u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -0.2, -0.1837?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/26*((-16)\/(-12))\/((-5)\/3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 - 2 = 0. Let x(k) = -k**3 - 3*k**2 + k + 8. Let s(v) = v**3 + 4*v**2 - 9. Let f(d) = 2*s(d) + 3*x(d). Is f(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 203292?\nAnswer: 203292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 2*p + 5. Let j be z(5). Let a = j - -5. Let n = 7 - a. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 5)*(12412\/1392 - 14\/(-6)). Solve j*q = -11*q - 280 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0 + 19\/6*p**3 + 18*p + 10*p**2. Is 17 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 39\/674?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 227*w - 18023243 - 21212799. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 912 - 911.7. Is 328\/9 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x*x\/x**(1\/27)*x)\/(x\/((x\/x**(-6))\/x))**(1\/16) assuming x is positive.\nAnswer: x**(-1609\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*449\/(-4939)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/4 - 79*n**2\/4 - 685*n\/2 + 286.\nAnswer: (n - 26)*(n + 11)*(5*n - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.99 - -4.99. Which is the closest to 1? (a) 0.4 (b) 0 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*x + 16 = 231*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**2*p**3 - 43*m**2*p - 25545*m**2 with respect to p.\nAnswer: 12*m**2*p**2 - 43*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -222*v + 3545. Calculate b(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -8.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1 (b) -2\/17 (c) -1.73 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 4 (c) -201549 (d) -2\/459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29080 + -29080.2. Which is the nearest to r? (a) -3.4 (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33355, 33203, 32949, 32593?\nAnswer: 32135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5505985 times 3\nAnswer: 1.6517955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(12\/(-42))*(1 - 2). What is the derivative of 4 + 102*r**2 - 52*r**2 - 47*r**2 - f*r**3 wrt r?\nAnswer: -21*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 9)*(z - 3*z + z)*(3 + 1 - 5)*(-4 + 4 - 3*z) to w*z + g*z**2 + f and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -7*b**4\/4 - 11*b**2 + 9. Find the second derivative of g(v) wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -8*t + 216. Differentiate 27 - 20*d**2 - 6 - t*d + 54*d wrt d.\nAnswer: -40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46848004 and 2022216.\nAnswer: 281088024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*f - 15, 514663*b - 7*f - 39 = 514662*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13764 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 - 1100101011111?\nAnswer: -1100100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 14*s**2 + 18*s - 21. Let h be l(15). What is the units digit of (52\/h)\/(2\/(-6))*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017213 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 309678542\/729 - 424799. Calculate the common denominator of j and 139\/90.\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*l - 248, -4*l - 272 = 3*o - 6*o. Let f = -37 - l. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60\/13 + -514\/117. Suppose 5*u + 8*u = 52. Let v be 5\/(-4) - ((-18)\/u + 3). Which is the nearest to h? (a) -0.1 (b) v (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22160670 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 1, 2, -29, -4 in descending order.\nAnswer: 101, 2, 1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b - 2. Let h be (-56)\/(-12)*3\/2. What is the tens digit of g(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/20))\/(r\/(r*r*r**4)) assuming r is positive.\nAnswer: r**(123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 2, v: 6, i: 3}. Give prob of picking 1 v, 1 i, and 1 l.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 28*j. Let d(g) = 199018*g + 2. Determine d(h(v)).\nAnswer: -199018*v**2 + 5572504*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 520.9717ug?\nAnswer: 0.5209717","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -56. Let y = v + 29.9. Which is the smallest value? (a) -4 (b) y (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 6 - 0. Let w = y - -3. Suppose 3*x = 5*c - 2*c, 5*c + x - 12 = 0. Solve -z = -0*v - 2*v + 1, 5*v - c*z - w = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*l - 69 = 0, 6*z + 2*l = 8*z - 146. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 1854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-15))\/(((-2)\/2)\/15). Calculate the common denominator of (b\/120)\/(10\/(-402)) and (-54)\/8*(-44)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.214.\nAnswer: 0.0856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12943, 4, -1, 8 in increasing order.\nAnswer: -12943, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4\/5 + 54*w**3\/5 - 489*w**2\/5 + 180*w = 0.\nAnswer: -25, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1257.2*-0.3\nAnswer: 377.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 19*i + 5*i + 0*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tisgsmp. What is prob of sequence gim?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 + -2. Let o = -0.4 - v. Let n = -122\/91 + 10\/13. Which is the biggest value? (a) n (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c + 25. Let k(y) = y**3 + 6*y**2 + 3*y + 6. What is the units digit of k(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3807*a**2 - 15*a + 43. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5096979 (base 12) in base 10?\nAnswer: -15128301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:58 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0 + 0*f + 19*f**2 - 1\/2*f**3 + 5\/48*f**4 - 1\/120*f**5. Determine s so that j(s) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 32. Let a(t) = 3*t + 63. Give 2*a(j) - 5*m(j).\nAnswer: j - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33914*d**6*f**2 - 2*d**4*f**3 + 42585*d**2*f**3 wrt d.\nAnswer: 4069680*d**3*f**2 - 48*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 5*s + 1. Suppose 243*q + 18 = 246*q. Let k be (3\/(-3) - -2 - 1)\/(-2). Suppose k = -5*z + w + 5 + 3, -z - q = -4*w. Determine o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22110 divided by 5?\nAnswer: 4422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-1)*(3 + -8 + 6). Let n = 48 + d. Let u = -21 - -73. What is the remainder when u is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(2\/(-3)). Let q be z - (2 + 802\/(-2)). What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 6*n - 8. Let b(l) = -2*l**2 + 50*l - 304. Let i be b(11). Determine f(i).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/1364 - (-336)\/(-22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -507*t**2 + 13*t - 4. Let u(q) = 80*q**2 - q. Calculate o(b) + 6*u(b).\nAnswer: -27*b**2 + 7*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*3\/180 + (-34)\/12. Let m = 10604 + -975593\/92. Let l = m - -12\/23. Which is the biggest value? (a) 3 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1164060 (base 8) to base 13\nAnswer: -b34b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y**3 + 2*y**2 - 25*y + 2. Let t(i) = -17*i**3 - 3*i**2 + 24*i - 3. Let u(b) = -3*n(b) - 2*t(b). Find the second derivative of u(p) wrt p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -536, -521, -486, -425, -332, -201, -26?\n\"Answer: k**3 + 4*k**2 - 4*k - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Let c(a) be the first derivative of -3 + 0 + 3*a**4 - 3 + h*a - 7*a. What is the derivative of c(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -63*k + 3962. Calculate u(63).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003102220 + 2?\nAnswer: 1003102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63, -66, -71, -78, -87, -98?\n\"Answer: -c**2 - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-52)*(-1)\/4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288026, -288020, -288010, -287996?\nAnswer: -287978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/1)\/60)\/(296\/(-370)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177 + 150. Which is smaller: c or -221\/8?\nAnswer: -221\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 - 79*p**2\/6 + 193*p - 180.\nAnswer: (p - 60)*(p - 18)*(p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -40*w**2 - 21*w. Let v(o) be the second derivative of 2*o**3\/3 - 26*o + 128. Give j(v(u)).\nAnswer: -640*u**2 - 84*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 2. Let t be f(0). Find the second derivative of 8*n + 4*n + 3*n - 5*n + 97*n**t wrt n.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 + k - 2*k + (-2 - 2*k + 2)*(4 - 1 + 3).\nAnswer: -13*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -33. Suppose -5*i - h = -75, i - 6*i + 4*h + 50 = 0. Suppose -i = d + 2. Put r, -4, d in descending order.\nAnswer: r, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.381 + -0.709. Let k = h + 0.59. Which is the nearest to 2\/69? (a) -0.3 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18101 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6371 is divided by 1041.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*a + 9*a + 10, 3*a = 2*l - 6. Put 20, 0, a in ascending order.\nAnswer: a, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6864 divided by -4.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*f + 1261 - 1246 = 0, 0 = -4*h - 3*f + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 11*d + 15*d + 8, 0 = -2*t - 2*d - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -310 + -a8?\nAnswer: -3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 13}. What is prob of picking 2 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -252471 (base 8) in base 4?\nAnswer: -111110321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -570, 5.\nAnswer: -570, -19, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.53821 * -46.\nAnswer: -484.75766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, d: 1, a: 2, x: 4}. Give prob of sequence xcc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 86732735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 + 0.61. Let x = k + -0.91. Let w = 0 + -0.1. Which is the closest to -1? (a) x (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 6. Let h(w) = 62*w - 32*w - 32*w. Calculate h(v(p)).\nAnswer: 2*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 45 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 - 11*m + 2. Give o(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14650*n**2*r**3 + 5*n**2*r**2 + 3*n**2*r + 8148*n*r**2 - 1041*r**4 - r + 10 wrt r?\nAnswer: -87900*n**2 - 24984*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120492993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxnxnxxlrxxluxx. What is prob of picking 1 u and 1 l?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*q - 9 = 2*g, -4*g + 5*q = -13. Suppose -2 = -o - g. Which is the nearest to 0? (a) 0.3 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 237 and 3303.\nAnswer: 260937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815301.\nAnswer: 3, 7, 97, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*z - 5 + 2 = 0, -4*f - 5*z + 2 = 0. Factor 27*q**3 + 21*q - 3*q**2 - 18*q - 1 - 58*q**3 + 32*q**f.\nAnswer: (q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Suppose 48*c - 47*c - 907 = d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 204673.9 hours?\nAnswer: 736826040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/w)**(-2\/123)\/(w**9\/w**(-28)) assuming w is positive.\nAnswer: w**(-1515\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2013 by -652.\nAnswer: -2013\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/7 and 56\/141.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - 2. Let k = 101 + i. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46049 is divided by 533?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67487 plus -2?\nAnswer: -1.32513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose -4*n + b*n + 6 = 0. Let g = 1 - 1. What is the third biggest value in 4, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = -221*c + 119*c + 119*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -252669 and 0.495.\nAnswer: -125071.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2. Let r(j) be the second derivative of 1\/6*j**3 + 0 - 3*j + 0*j**2. Give p(r(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1083\/226 or 96?\nAnswer: -1083\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o - 3*o. Let z = -0.2 - 0. What is the second smallest value in z, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v. Let p(d) be the third derivative of -d**7\/720 - d**5\/60 - 9*d**2. Let h(y) be the third derivative of p(y). What is 15*b(g) - 6*h(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 28, -34, -7\/2, -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45872 is divided by 15213.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) -467 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-2 + (sqrt(40)*-1)\/sqrt(5) - (5*sqrt(800) + 5))**2.\nAnswer: 1220*sqrt(2) + 29793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from {l: 5, a: 11}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 216\/(-243). Factor 2\/9*v**3 - 2\/3*v**2 - 2\/9*v + z*v**4 + 4\/9.\nAnswer: 2*(v - 1)**2*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 8. Let b be n(10). Suppose 2*s + b = 4*s. What is the least common multiple of 10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21493 - -21647. What is the greatest common factor of c and 3740?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 165.9614. Round r to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 - 4 - 5 - w**3 - 4*w + 9 + 13*w in the form c + p*w**4 + g*w**2 + h*w + o*w**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - (-49 + 134)) + -63?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 5\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680590 rounded to the nearest 10000?\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 40.91 (b) -274 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 2, o: 1, r: 1}. What is prob of sequence poor?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582023186.\nAnswer: 2, 17, 17118329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*j = -10, -2*u + 35*j - 30*j - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 11.97 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240733.7 micrograms to kilograms.\nAnswer: 0.0002407337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*(83 - 11). Let b be f\/28*(-7)\/(-2). Suppose -b*r - 68 = -8*r. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m - 5*v + 70, 280 = 4*m + 5*v. Let f be (-6)\/((-15)\/5)*2\/m. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 166 = 2. Suppose -x = -6*q - q. Solve -q*f - 3 + 0 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47910 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 206.11 (b) -96 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 - -289. Let x = j + -103. Let g = 5 + -4. Sort -5, x, -2\/3, g in ascending order.\nAnswer: -5, x, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2529991, -2529967, -2529943, -2529919, -2529895?\nAnswer: -2529871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - 7) + (1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*v - 1470, 46*v = 41*v - 25. Let i be 2794\/10 - 6\/15. Suppose -i = -8*z + l. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871 = -321*r - 453 + 1187 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*w + 1. Let d = 6 + w. Suppose 3*n - 6 + 183 = 3*a, 0 = -d*a - n + 193. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -3f?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:56 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91317540 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 9 (b) 4758 (c) -0.9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7185 = 4*u, 5*h - 222 - 6938 = -u. Suppose 2*b - h = -y, 7*b - 3615 = 2*b + 4*y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 131*g + 664. Calculate q(-70).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 50. Suppose -3*n + m = -n. Let a = 36 - n. 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: Let o = 196\/5 - 39. Let x = -2.8 - -3.04. Let t = -0.34 + x. Which is the closest to t? (a) -5 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24 + -28 + ((-6238)\/5 - 0). Let x = t + 37459\/30. Find the common denominator of -3\/5 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3493*x**3 + 3493*x**3 - 455*x**4 + x**2 + (3 - 3 - 2*x)*(1 - 2*x**3 - 1) to l*x + w*x**4 + g + f*x**3 + n*x**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 0)*(-485)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -30 + 15 + 20 + 16*y. Suppose b + 24 = -2*o + 16, 5*b = -2*o. Let m(a) = -4*a - 1. Calculate b*h(x) + 9*m(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5687850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323504 (base 6) to base 5.\nAnswer: -4322113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*w - 16 = 0, -20 = 5*f + w - 6*w. Suppose -k + 0*o - 5*o + 63 = 0, f = -k + 5*o + 23. Suppose 2*b - k = 4*l + 61, 58 = b + l. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -857, -856, -855, -854?\n\"Answer: p - 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -7*n + 80. Suppose 5*a = 135 + 25. Suppose 13*w = 5*w + a. Calculate the greatest common factor of w and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4624 + 9321. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6\/(d\/(d\/(d**7*d)))*d**(-1)*d\/((d\/(d*(((d\/(d*d*d*d\/(d*(d\/(d**2\/d))\/d)))\/d)\/d)\/d*d))\/d) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 15 = -z, 4*z - 1 = 3*z - 3*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -85202044?\nAnswer: -1\/85202044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (606\/147 - 4)\/(309\/(-21) - -15). What is the second biggest value in -3, d, 1\/107?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6208 and 199744.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + -3.17. Let f = 1.3 + o. Which is the nearest to 2\/3? (a) 2\/9 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*s = 12*j + 110*s - 27, -2*j - 8*s + 132 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*q - 250, -4*q + 102 = -2*q + 2*t. Suppose -43*j = -q*j + 513. Calculate the common denominator of (j\/(-24))\/(5\/2) and -1\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(12) - sqrt(108))*2*-1)\/(sqrt(216)\/(sqrt(6)*1)*-6).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*o - 409 + 229 = 490 + 206 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/8*(-2)\/(-5). What is the third smallest value in 0.1, -0.01, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2487*y**2 - 1023*y**2 + 2165*y**2.\nAnswer: -1345*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20)*(-2)\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 722 and 26628785?\nAnswer: 1011893830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123901800 and 1056.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -0.3, 21\/10, -2\/9, 0.08?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -1*(sqrt(208) + 1) + 3*sqrt(208) + 0)**2*-6 + 3)*-3.\nAnswer: -432*sqrt(13) + 33705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -68, -7, -1\/4?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5559432, 11118847, 16678252, 22237641, 27797008?\nAnswer: 33356347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -297 * -2.9\nAnswer: 861.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 5*g**3)*(8 - 3*g - 8) + (-g + 2*g + g)*(-9*g + 9*g - 5*g**3).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993407529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*h*o**2 + f*o**2 - 14925*f - 31284*h*o - o**2 with respect to f.\nAnswer: -2*h*o**2 + o**2 - 14925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = 10. Determine r so that -130*r**2 + 54*r + 125*r**3 - 14*r - 7*r**k - 20*r**4 - 8*r**5 = 0.\nAnswer: -4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5 - 519*r**4 - 107025*r**3 + 445575*r**2 + 2078022*r + 1525944 = 0 for r.\nAnswer: -124, -2, -1, 7, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxyxxyx. What is prob of sequence yyxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let c(i) = i. Let k(v) = v - 11. Let t(u) = -4*c(u) + k(u). Let q(r) = 6*m(r) + t(r). What is the tens digit of q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 161. List the prime factors of (-1050)\/((216\/l)\/9).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-5) - 5 - -7. Suppose i*d = -0*d + 132. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyyyyyynnnyyyinnnny. Give prob of sequence in.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:36 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, 4, -38, 2, -5, 55.\nAnswer: -114, -38, -5, 2, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lanlohv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4 - 1268735*o**3 - 7861476*o**2 wrt o?\nAnswer: 48*o - 7612410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 4*u = 0. Let k(y) be the second derivative of 0*y**2 + u*y**4 + 0*y**3 + 1\/75*y**6 + 2*y + 0 - 1\/50*y**5. Factor k(l).\nAnswer: 2*l**3*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1.7\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6141 = 5*l - 4*k, -4*k = 5*l - 0*k - 6149. What are the prime factors of l?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-2 - (67 + 4). Let m be (-11)\/(-5) + (-60)\/k. Suppose -l + 144 = m*l. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9531955.\nAnswer: 5, 1906391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 + 8 = 0. Suppose 0 = -2*l + 4*g + 58 - 10, 3*g - 34 = -n*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16335261.08 to the nearest 100000.\nAnswer: -16300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -3, -1, 15 in descending order.\nAnswer: 15, 5, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 35*s**2 + 44*s**2 + s**3 - 2*s**3 + 5. Let k be r(5). List the prime factors of (9\/(-4))\/((-9)\/k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (1 - 4)\/(-3). What is the second derivative of 2*o - o + 2*o + w*o - 2*o**5 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 104*i**3 - i - 1. Let x be o(-1). Let n = 831\/8 + x. Let j = 0.122 + -0.122. Which is the biggest value? (a) n (b) j (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57067520 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45323400901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-345)*306\/68.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4074 + -4447. Is -369 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 8. Let k(c) = 5*c**2 + 3*c + 2. Let q(o) = 4*o**2 + o + 1. Let v(i) = -3*k(i) + 4*q(i). Give v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/6 + 14*r**3\/3 - 49*r**2 + r. Determine u, given that o(u) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*z = 0, 0 = 2*v + 5*z - 4. Suppose 4*y + 0 = -w + 4, 5*y - 5*w = -20. Solve m = -y*m - v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -38 - (0 - -1 - (171 - 159)) - -14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6) + sqrt(12)\/sqrt(2)) + sqrt(3) - (sqrt(75) + 1*sqrt(75))) + -1*sqrt(21)\/((sqrt(77)*1 + sqrt(77))\/sqrt(11)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and -7 - -7 - (-376 - (10 - 6))?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -h + 80. Let p = h + 14. Put -5, p, 3 in ascending order.\nAnswer: -5, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48030500 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - 3.95. Let i = 1\/118 - -219\/2006. Which is the smallest value? (a) i (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 10*c - 1. Let q = 15 - 22. Is u(q) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.62909? (a) 5 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 269955 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/12 + 75\/52)*((-304)\/(-114) - 4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -120, -259, -446, -675, -940, -1235, -1554?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4258 + 4263. Let y(t) be the third derivative of g*t**2 + 0 + 0*t**4 - 3*t**3 - 17\/60*t**5 + 0*t. Differentiate y(w) with respect to w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-16))\/(5\/(-4)). Let q = -2 - -5. Let w = q - 5. Which is the nearest to m? (a) w (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/1102291?\nAnswer: -6\/1102291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-14))\/((-62)\/70 - 30\/(-50)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243835, 243954, 244073, 244192, 244311?\nAnswer: 244430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188 + -125. Calculate the remainder when l is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1265 and -0.28.\nAnswer: 354.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-1*3 + sqrt(360) - sqrt(360))\/(-6*(sqrt(2) - (3*sqrt(98) + sqrt(2))))*-1.\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/3)\/(a*a*a**(-1\/16)*a))**(-37\/2)*((a\/a**(-10))\/a**(-5))**(-17\/2) assuming a is positive.\nAnswer: a**(-11983\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 115?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 0.3, -14?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -501.311974 - 32.683456. Let k = -12 + 546. Let g = k + c. What is g rounded to 4 decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (29 + (-36 - -33) - 8).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006845644 rounded to seven dps?\nAnswer: -0.0000685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0871 + -96700?\nAnswer: -96699.9129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352063 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11307081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times -1156235?\nAnswer: -61280455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(84))\/sqrt(12).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -68*m - 22. Let s(c) = 34*c + 8. Calculate 5*s(u) + 2*x(u).\nAnswer: 34*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose -3*b + 3 = 3*d - 0, 0 = x*d + 5. Suppose b*f + 110 = y, -2*y - 3*y + 620 = 4*f. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 47, 16\/5, 0.04, 5, 197?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.15 (b) 3\/8 (c) 3\/278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15322*y - 15320*y - 17952. What is the greatest common factor of y and 660?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(171) + sqrt(171)*2))\/(3*((1*sqrt(9) - sqrt(9)) + sqrt(9))))**2 - ((3 + sqrt(57)\/sqrt(3) - sqrt(19))*-5 + -4)) + 3.\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 54 = -j + 2*j, -51 = -j + 4*t. Suppose -2*l = n - 26, -5*l - j = -n + 22. What is the highest common factor of 54 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(209)*3)\/(5*sqrt(5324) - sqrt(5324)).\nAnswer: 3*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114731467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:09 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 296762451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7426*u**3 - 588*u.\nAnswer: 44556*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 24 = 0, 0 = -3*z - 9*d + 4*d + 52 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -171? (a) 9.5 (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*2 - (sqrt(143) - (sqrt(143) - -1*sqrt(143))*-2))\/((-3*(sqrt(99) + -1*sqrt(99)) - sqrt(99))\/sqrt(9)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 4*n + 16670, 0 = 3*o - 3*n - n - 8345. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 176*u + 179*u - u**2 + 15)*(-2*u + 0*u + u).\nAnswer: u**3 - 3*u**2 - 21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 3. Let s be v(-5). Suppose h + s - 97 = 0. Suppose 4*z - h - 54 = 0. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3400 + -3389. Is 0.046 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*z + 181*z - 1 - 46 + 47.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -4064.\nAnswer: -3\/4064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 440 - 17 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957.9238s in hours?\nAnswer: 0.8216455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1442*g + 8687. Let t be l(-6). Solve -2*w - 18 = -5*x, -2*x - t = -43 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7166469*d + 7166401*d = -4352 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 10 = 2*z. Let r = -14 + 34. What is the highest common factor of r and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-54)\/4275 - (228\/(-20) - -11)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**5 + 17*n**4 - 59*n**3 + 55*n**2 + 3*n. Let t(m) = -7*m**5 + 34*m**4 - 117*m**3 + 109*m**2 + 5*m. Let p(v) = -5*q(v) + 3*t(v). Factor p(a).\nAnswer: -a**2*(a - 13)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 301? (a) -0.5 (b) 63 (c) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 7*d**4 - d**3 + 9*d + 27*d**4 - 2*d**4 - 9*d**4 - 6*d**4 to v*d**2 + h*d**4 + b + c*d**3 + m*d and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - b**5 - 2*b**2 + (-4*b + 16 + 3*b - 23 + (0*b - b + 3*b)*(7 - 3 - 2))*(2*b**4 + b**4 - b**4).\nAnswer: 5*b**5 - 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {t: 8, l: 2, w: 2, a: 5, z: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-34) + ((-863)\/306 - -3) and 1\/24?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22720 divided by -8.\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -101?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:52 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 16 - 24 = 0. Let f(o) be the first derivative of -o**2\/2 - 5*o + 2. Let h be f(m). Solve h*a = -2*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.187 + -2.447. Let w = h - -35.86. Round w to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -15. Let a(i) = -2*i**2 - 4*i - 3. Calculate a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2675292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -4*h**3\/3 + 14*h**2 - 48*h + 620. Factor t(x).\nAnswer: -4*(x - 4)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62509187*m**6 - m**4 - m**3 - 116803612*m**2.\nAnswer: -7501102440*m**3 - 24*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 - (-4 - 0)) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/4 - 4*z**3 - 6*z**2 + 13. Let u be n(-11). Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s + 4 + 13*s + 0*s - 8*s**2.\nAnswer: -8*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 + 1. Let n = 13 + 7. Suppose x + 6 = 3*d, 5*x - d - n = x. Calculate the smallest common multiple of l(3) and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/219372 and -47\/15049.\nAnswer: 32686428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 2, o: 1, t: 1, v: 1, g: 2}. What is prob of sequence mg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 5*d = 5*j - 5148, 5*d + 0*d = j - 4*j + 429 for j.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 divided by 734?\nAnswer: 177\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687181?\nAnswer: 11, 179, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 + -0.87. Let u be (-7)\/(-5) - 1\/1. Which is the second biggest value? (a) 0 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-40 - -26 - -38 - -21).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 25. Suppose -3*u - 33 = -2*l, -6*u + 2*u = -l + q. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 14*f + 14. Let q = 9 + -22. Let l be g(q). Which is the biggest value? (a) l (b) 3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157765679?\nAnswer: 157765679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 21*j**2 - 10*j - 3. Is 9 a factor of i(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.23 - 0.99. Let y = u + -2.34. Let i = -8 + 14. Which is the nearest to y? (a) i (b) -0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z + 1. Let f be j(3). Let n be (-5896)\/(-104) + (-28)\/(-91). What is the second derivative of -f*r + 57 + 5*r**4 - n wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302528 <= 302499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 102.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11885 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -6*i + 2700. Let z be i\/42 + (-5 - -1). Which is the third biggest value? (a) z (b) 5 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265542 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -3*l. Suppose 3 + l = 2*s - 3*r, 3*s = r - 1. Let f(o) = 3*o - 1. Give f(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-4)*-4)\/((-39)\/12). Let d(a) be the first derivative of 16\/13*a + 14 + 1\/26*a**4 - q*a**2 - 4\/39*a**3. Suppose d(l) = 0. Calculate l.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 2*b. Suppose 2 = -5*k + 6*k. Let p(h) = 2*h + 24. Let o be p(-11). Let x(d) = -d**2 - k*d - 2 + 3*d + o. Determine -6*q(z) + 11*x(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x + 108. Let w be v(-13). Suppose -2*m + 211 = -8*o + 9*o, o = -5*m + w. Calculate the greatest common factor of o and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - m**3 + 53*m - 52*m + 4 - 12*m**2 + 2*m**4 in the form i*m**2 + f*m**3 + h*m**4 + k + l*m and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35506*u = q - 35510*u, -2*q + 6*u - 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 9*c = 11*c - 63 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 7*y = 11*h + 131, y = -2*h + 42. Solve d - 4*k = 9, -5*d - 4 + h = 4*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1225268 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3289*v = -1962*v - 7*v + 3949*v + 100111 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 + 3401*w**2 + 26589816*w + 31601333520 = 0. What is w?\nAnswer: -2052, 7505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 17*z**2 + 4*z - 69. What is g(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -3198?\nAnswer: -639.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 8*b**3 - 76*b**2 + 80*b.\nAnswer: 4*b*(b - 5)*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 119*o - 1564. Calculate f(-105).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197884\/142545 + -11\/2795. What is the common denominator of z and 70\/33?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011018541 rounded to four dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*u**3 + 275*u - 150*u - 67*u as z*u**3 + d*u + m*u**2 + t and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 8*o + 17 = -w - 0*w + 7*o, -57*w = 2*o - 181 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 6*m**3 + 3*m**3 + (-6 + 3 - 4)*(3*m**3 - 3*m**3 + m**3) + 4*m**3 + m**3 - 3*m**3 to the form y*m**2 + g*m + j + p*m**3 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624 is divided by 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + 2 - (8 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 1\/10 (c) 16316 (d) -0.08 (e) 0.5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 254739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627217932 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*n + n**2 + 185*n + 483*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11060880 is divided by 690.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - v**2 + 107*v**3 - v**2 - 1259 + 2519 - 1262 to p + g*v**3 + z*v**2 + c*v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 18. Suppose -6*r = -10*r + w. Put -8, r, -2 in descending order.\nAnswer: r, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 76*q + 158. Give t(20).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165650207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b - 1. Let i be v(9). Let a = 103 - i. Suppose -q + 11 = -2*l, -2 = -3*q - 3*l + 4. Solve 3*u + a = q*r, -2*r + 8 + 0 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 1, q: 1, n: 4}. Give prob of picking 2 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:54 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:31 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2429678*v - 9718679. Determine p(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1726 + 279.9\nAnswer: 279.7274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -4027?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*-4*(-57)\/(-210). Suppose -4*c + 10 = -5*a, -11 = 14*a - 13*a + c. Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/((-49)\/12) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.78 - 20.1. Round k to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**0*r)*r)\/(r*r**(2\/55)\/r))\/((r*r*r**(-15)*r)\/(r*r\/(r**43\/r))))**13 assuming r is positive.\nAnswer: r**(-20046\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(14))\/sqrt(2) + (3 + sqrt(7)*2)**2.\nAnswer: 11*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2893245.\nAnswer: -2\/964415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 714, 1072, 1430, 1788?\nAnswer: 2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.009 times -3207?\nAnswer: -22477.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 48483 = 11997. Suppose 26*m - 5*m = j. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/40 - g**5\/20 + g**4\/8 - g**3\/2 - 15*g**2. Let c(z) = 3*z**3 + 4*z**2 - 4*z + 4. Calculate 3*c(t) + 4*d(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -5 - (-3 - -1). Let y = b - 15. Let z = y - -36. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 3\/2*y**2 + 1 - 2*y. Let j(q) = 2*q - 2. Suppose -4*d + 5*b - 2*b - 31 = 0, -4*b = -5*d - 40. Calculate d*j(r) + 3*l(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - n - 5, -2*r - r + 3 = -3*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 701 and 2068?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + 0*a)*((-2 - 3 + 0)*(-2 + 1 + 0) - 2 + 6 - 2) - 3 - 39*a - 36*a + 72*a.\nAnswer: 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116563 is divided by 5548.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -19 - (2 - -12)) + (-1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y**2 + y + 20. Let c be n(0). Suppose 28 = 3*q - c. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -96.48 and -5?\nAnswer: 91.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + -3.08. Let a = -0.07 - -22.07. Let u = 22.5 - a. What is the closest to 2 in u, -2\/11, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose 3*m - t = 2*m. Suppose m = -5*v - 2*w + 12, 2*v + 2*w = 0. Calculate the lowest common multiple of v and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3801 + -3800.9. Put -3, 26, -1.7, j in ascending order.\nAnswer: -3, -1.7, j, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(288) + 0 + sqrt(198)\/sqrt(176) + sqrt(882)*2 + 2.\nAnswer: -3 + 219*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/20 - p**4\/3 - p**2\/2 + 23*p. Let t be x(-4). Put t, 1.7, -1\/4 in decreasing order.\nAnswer: 1.7, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 2:31 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5431612 by 4.\nAnswer: 1357903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - 13. Let f = j - -18. Let t = 2.5 - 2.7. What is the nearest to f in -5\/2, -1\/3, t?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1\/7, -2\/5, -2\/7, -96\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/20, 3, 0.05, -4, -2\/17?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -404060390 to the nearest one hundred thousand.\nAnswer: -404100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z + 227 - 10*z**2 + 15*z**2 - z**3 - 233. Let a be (6\/7)\/((-1)\/(-7)). Calculate the lowest common multiple of d(a) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)\/n**6*(n**(-1\/4)\/n)**17)\/(n**(-3)\/((n\/(n**10*n)*n)\/n))**(-2\/7) assuming n is positive.\nAnswer: n**(-203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 222 - 542. Let m = g + -26. Is (-5)\/(-2)*m - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 375 = 395*m, -3*z - 435*m + 438*m = 33 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 2*g**2 + 6. Let u(i) = 2*i**3 + i**2 - 2*i**2 + 4*i**2 - i**2 - 5. Determine 4*u(m) + 3*w(m).\nAnswer: 2*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 171301359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**4\/4 - w**3 + 15*w**2\/2 - 15*w - 2. Let x(o) = o**2 - 1. Let c(h) = p(h) - 9*x(h). Let c(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 182*t - 7997. Determine z(44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) -1 (b) -0.11 (c) 4 (d) 3 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*n + 9*n + 508104. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -25\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2952731 rounded to one decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) -8 (c) -3\/7 (d) -12\/5 (e) -2 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 26713569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h**2 - 257*h - 168. Determine q(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i**(2\/13)*i))*i)**(-2\/67) assuming i is positive.\nAnswer: i**(-82\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(320)\/sqrt(8)) + 1.\nAnswer: 1 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9 - 2 + 3*b - b + 3*b. Let w(c) = 11*c + 86. Let y be w(-6). List the prime factors of n(y).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13*v + 4. Give l(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -239*w - 16507. Give i(-69).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 11. Let m be t(6). Let y(g) = -62*g + 9. Let j be y(m). What is the highest common factor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3645 * 2.\nAnswer: -7290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n\/((n**3\/n)\/n)*n*n*n)\/((n**(-8)*n*n)\/n))\/(n**1)**31 assuming n is positive.\nAnswer: n**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 13. What is the tens digit of p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 48000 = -1580*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 3*l - 5. Let i be c(5). Let z(r) = -2*r + 30. Let g be z(-24). Suppose -i*w - w = -g. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -38*s. Let p(b) be the third derivative of 323*b**4\/24 - 464*b**2 + 2*b - 6. Calculate l(p(x)).\nAnswer: -12274*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10334 is divided by 3444.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*f + 8*f + 323. Suppose f*z - 10 = -10. Which is bigger: 2\/805 or z?\nAnswer: 2\/805","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195994973.\nAnswer: 359, 545947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 - 3*h**2 - 7*h - 3. Let q(v) = -v**2 - v - 1. Calculate -g(t) + 5*q(t).\nAnswer: -4*t**3 - 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0 - 5\/12*w**4 - 1\/20*w**5 + 3*w**2 - w + 1\/6*w**3. Let k = 2 - 7. What is d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-248.154524\nAnswer: 124.077262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2 + 2)*(0 + 2 - 5) + (0 + 1 + 1)*(-2 + 6 - 2)*(3 + 6 + 10)*(0*a + a - 2*a).\nAnswer: -79*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/224 and -149\/84?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(192)*4 + sqrt(3) + 3*sqrt(3)*5)**2 - (-1 + sqrt(300))*-6*-5).\nAnswer: -900*sqrt(3) + 20826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 10. Let t = k + -7. Suppose t*v = 5*v - 125. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 - 2*q**2 + (3*q**2 - 3*q**2 + 2*q**2)*(0 + 3 - 1) - 2*q**2 - q**2 + 2*q**2)*(10 + 7 - 42).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (1 + 13 - (-1 + -2 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + 38\/8. Suppose 2*w = -3*v + 9, -w + 12 = 4*v - m. Let c = 2 + v. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (-1 - 5) + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 - 956*q**3 - 65316*q**2 - 884644*q + 6178120 = 0.\nAnswer: -109, -26, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 325 and 92198847.738.\nAnswer: 92199172.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772644 divided by -11532.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22255 + -311547\/14. Calculate the common denominator of n and 9\/6628.\nAnswer: 46396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32571 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0 + 0)*(c + 1 - 1) + (3*c - 2*c - 3*c)*(49*c - 5*c - 6*c).\nAnswer: -74*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023387537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d + 33*d - 52 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 4*a - 3. Determine w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -218*j - 1944. What is the thousands digit of m(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1752 and -55\/37668?\nAnswer: 75336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = -k, 20 = 5*u + 7*k - 2*k. Find the second derivative of -57*b + 64*b**2 - 64*b**2 - 50*b + 38*b**u wrt b.\nAnswer: 456*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 669200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25779.5ml in litres?\nAnswer: 25.7795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7555 = -3*r - y, -2*r = 5*y - 5032. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -137, -326, -609, -968, -1385?\n\"Answer: 3*k**3 - 65*k**2 - 15*k - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 + 3 - 3*m**2 - 479*m + 479*m. Let h(r) = r**3 - r**2 + 1. Give -3*h(c) + p(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 158. Let y(o) = 40 + p*o - 35*o - 31*o. Let s be y(-10). Solve -4*v - 12 = -s*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/7*238\/204.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7*a + 5 + 5*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((229 - 238) + (-28 - 0)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -46*t + 43*t + 321, -2*c + 3*t + 219 = 2*c for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*d + 1 - d**2 + 1\/3*d**3.\nAnswer: (d - 3)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 2*m**2 + 2*m**2)*(-2*m + 3*m + m) - m + m - m**3 - 3*m**3 + 0*m**3 + m**3 + 345*m**2 - 2*m**3 + 357*m**2 + 11*m - 708*m**2.\nAnswer: -3*m**3 - 6*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -609667, -2438543, -5486667, -9754039, -15240659, -21946527, -29871643?\n\"Answer: -609624*r**2 - 4*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k - 158. Let r be a(-23). Let t be (-8)\/(-20) + 3\/(-5). What is the second smallest value in r, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.232 + 0.083. Let m = q + 0.14819. What is m rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 3 - 3)*(4 - 6 - 3)*(4 - 2 - 27) as p + r*x and give r.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u + 4, 4*c - 23 = -u. Is (-5964)\/6*((-27)\/c + 4) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/sqrt(81) - (sqrt(12)*2 - sqrt(12)).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 22*f**3 - 5*f**2 + 5*f. Let s(l) = -341*l**3 + 71*l**2 - 83*l - 3. Let w(z) = -2*z**2 - 2*z - 1. Let c(u) = -s(u) + 3*w(u). Give -5*c(k) + 77*n(k).\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.031 + 11\nAnswer: 11.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29 + -8)*(-1 + 2)*(-1 - 3). Solve 0 = 142*a - s*a + 36 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7914349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*y + 1, 2*x - y + 3 = 0. Let k = -3 - x. Let v be -3 + (k - 388\/(-76)). Which is the smallest value? (a) v (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 11. Let p be j(-14). Put 5, 3, p in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16798636?\nAnswer: 2, 4199659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 take away -5935.14661?\nAnswer: 5839.14661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/5373 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65225798567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*v - 2*y - 9, -2*y + 10 = 0. Suppose -2*x - v = -0. Let w be 1\/x - 27\/(-6). Solve 0*c + 2*c + 3*n = 2, 4*n = -w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -210.4, -11.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3208, 6444, 9686, 12934, 16188?\n\"Answer: 3*t**2 + 3227*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 20 = 59. Let r be 248\/18 + 5\/(180\/8). Are k and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (10 - 0)) + (2 - (32 + -2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/7 - 62*z**3\/7 - 962*z**2\/7 - 430*z = 0. Calculate z.\nAnswer: -7, -5, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*(y\/y**(-4\/3))\/y)**(7\/10) assuming y is positive.\nAnswer: y**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (232*x**2 - x - 59*x**2 + 85*x**2 + 12*x**2)*(-5 + 3 - 1).\nAnswer: -810*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 68*y - 72*y, -29 = -5*p + 3*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**3\/3 - 2*h**2 - h - 56. Let m(z) = -z**2 - 3*z - 1. Give 5*f(p) - 6*m(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:41 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 t when three letters picked without replacement from {t: 2, e: 4, g: 2, i: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315196 + 464529. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + 2*sqrt(168)*-5 + sqrt(168))\/(2*sqrt(48)))\/(-2*((sqrt(140)\/sqrt(5) + sqrt(28))\/sqrt(4) + sqrt(448)*-1)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 10*v - 6. Calculate q(-5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*l - w, -352*l - 8*w - 92 = -347*l + 10*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 631 and 180466.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/24 + z**3\/2 + 8*z**2. Let n be m(0). Solve j**3 + 2*j**n - 91*j**5 + 3*j**4 - j**3 + 92*j**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/14248 and -49\/614308.\nAnswer: 15972008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 48*u**2 = 0 for u.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*w**5 - 4*w**4 + w**3 + 11*w**2 - 4*w + 21478 wrt w?\nAnswer: -320*w**3 - 48*w**2 + 6*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 - (-8 + 57 - 203).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317511, -317511, -317497, -317463, -317403, -317311?\nAnswer: -317181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2662207*-44.\nAnswer: 117137108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33667.87 + 33822. Round i to 0 dps.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1667296829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*w - 48 = 0, 0 = 5*v - 8*v - w - 72. Is v less than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*j**3*o**3 + 4361*g*j**3 + 2*g*j**2*o**2 - 2*g*j*o**3 + g + 2*j**2*o**3 + 252*j**2 wrt j.\nAnswer: -18*g*o**3 + 26166*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*s - 4*s = -19, -5*s = -5*c - 20. Let q = 6 + -7. Put -3, c, q in ascending order.\nAnswer: c, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 660295 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-42)*126\/(-30)*(-2640)\/396\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(7\/6)\/((y\/((y\/(y*y**2*y)*y)\/y))\/y*y**3)*(y*y\/y**(-6))\/((y\/y**(-4)*y)\/y)*(y**(-1)*y)**(-5\/4) assuming y is positive.\nAnswer: y**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -77*t + 3 + 22 + 10. Let f(y) = -13*y + 6. Suppose -1058*u - 45 = -1057*u - 2*x, 45 = -2*u - 5*x. Give u*f(p) + 6*b(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 + -91. Find the common denominator of (f\/(-5))\/(48\/(-60)) and (-86)\/306 + 6\/27.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.6 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -23 (b) 0.04 (c) -5 (d) 1167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.78 + -0.08. Let t = m - 0.3. Which is the closest to 1? (a) 2 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4468854 and 15\/52.\nAnswer: 8937708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 8}. What is prob of picking 1 s and 3 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 27, 26, 25, 24, 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13999c (base 16) to base 8\nAnswer: 4714634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.86 + -13.89. What is n rounded to 1 decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 8 + -7 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 2*l + 14. Let y(c) = -34*c**2 + 23*c - 161. Let u(q) = -23*k(q) - 2*y(q). Let b(s) = -6*s**2 - 96. Give u(b(p)).\nAnswer: -36*p**4 - 1152*p**2 - 9216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 29 + 31. Suppose -3*x - 8 - 3 = 4*z, 2*x = 4*z + 26. Let h = z + w. Calculate the smallest common multiple of 8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142842841?\nAnswer: 71, 409, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -84.53 * -0.5\nAnswer: 42.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1302*o**5 - 37*o**2 + 3*o wrt o?\nAnswer: -78120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 6 + (-1 - -7) + (103 - 77)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) -6\/7 (c) 1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 6*v - 3. Let q be h(4). Let f = q - -12. What is the remainder when 2 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 2*r + 7*r)*(-6*r**2 - 8*r + 8*r + (1 - 3 - 2)*(2*r**2 + 0*r + 0*r) + 3*r + 5*r**2 - 3*r) as y*r**2 + p*r + s + h*r**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6062, 24082, 54082, 96062, 150022?\n\"Answer: 5990*p**2 + 50*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16156 + 14?\nAnswer: 16170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0251 - -0.3191. Let h = -0.294 + x. Let u be 2\/4 - 2\/(-4). Which is greater: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14948 - -34826. Let b = k + -12878. What is b rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g + 37. Let n(u) = 2*u + 7. Let l(h) = -30*n(h) + 5*s(h). What is l(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274.3048011 + 45.3049041. Let b = -229 - f. Round b to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*o - 131*o - 178 = 0. Which is the second smallest value? (a) 0.1 (b) 2\/97 (c) -4 (d) 4 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 23044958657896 and 0.1.\nAnswer: 23044958657896.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76271219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)\/q)**(-39\/7) assuming q is positive.\nAnswer: q**(468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -23*i**2 - 16*i - 5*i + 0*i - 20 - 2*i. Suppose -120 = 5*t - 35. Let o(z) = 12 + 3*z + 5*z + 8*z**2 - 5. What is t*o(h) - 6*y(h)?\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4, 2*k + 11539 = 3*r - 40341. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 2. Let p(g) = 3*g - 100. Let d be p(36). Let k(w) = 6*w + 3. Determine d*j(f) + 5*k(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*z**4 + 4*z**2 - 19*z**3 + 5*z**2 - 9*z**2 as x + y*z**2 + h*z**4 + g*z**3 + p*z and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 70269.05 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19858230 divided by 553?\nAnswer: 35910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-137)\/222)\/((102\/(-136))\/(6\/16)) and -51\/407.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -8*u + 2*u. Let o(f) = f - 4. Let l be o(6). What is the closest to 1\/4 in 3, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**3*z)\/z)\/z)\/(z\/(z**5*z*z))*(z*z*z\/(z\/z**(-4\/7)))\/(z*z**(-6\/7)))**(-26))**(-36) assuming z is positive.\nAnswer: z**(60840\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1106 and 48190\/(-915)*(-59 + (-2 - -1))?\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2707711 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/(5*(-3)\/(-180)). Suppose a + g = -a. Let x be (-7 - -1 - -4)*a. Solve -1 = -r - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -7*x**3\/3 - 3*x**2\/2 + 2*x. Let a be n(-2). Suppose 2*o - a = 7. What is the lowest common multiple of o and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165563171447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 3, 3\/5, -1.\nAnswer: -298, -1, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267 - -9. What is j rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*w - 772 + 1379 = -1265 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 13. Suppose -3*a + c = -p, 2*p + 4 = 2*a - p. Let b be 33\/15 - 128\/(-160). Solve -b*f - 17 = m + f, a*f + 40 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5 + 17*u - 7 + 3. Is a(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 155*r**2 - 7 + 0.\nAnswer: -155*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/27 in 437\/5, -2, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*n**2 - 16198910*f**3*n + 988*f**3 - 2*f**2 - 21*f - 23 wrt n.\nAnswer: 2*f**3*n - 16198910*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 823509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 196818.1 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10 + 3487*m + 2 - 3485*m. Let o be q(-2). Let v(d) = d**2 + 11*d - 11. Determine v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.2, 3, 1.13, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*v + 242, -4*h = 10*v - 13*v - 487. Does 34 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2549008 divided by 4?\nAnswer: -637252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2181, 0, 1, -433 in increasing order.\nAnswer: -2181, -433, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 - 2*k + 4. Calculate u(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 421*c**2 + 48*c - 6*c**2 - 425*c**2 as g + y*c**2 + r*c and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111354 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {d: 2, w: 1, b: 1, t: 2, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*b - 0*a - 6, -5*b - 2*a + 13 = 0. Let o = b + 2. Solve -o*h = 3*q - 12, 0*h + 5*h = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/19, 3, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.78 - 27. Let k = 16 - 15.78. Let t = p + k. Which is the closest to -0.2? (a) 4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide (-7 + 1)*(70900\/(-15))\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/6 + 5452*i\/3 - 54545\/6 = 0.\nAnswer: -10909, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 13 - (0 - 4). Which is bigger: a or 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -v - 13, d = 92*v - 93*v - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + ((-4119)\/84 - (-103)\/2884)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and -0.04426.\nAnswer: -1.7704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 169, 338, 497, 640, 761, 854, 913?\n\"Answer: -i**3 + i**2 + 173*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1210?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33841 and 728.\nAnswer: -33113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 173 = -0*v - 5*o, 2*v = -2*o + 82. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82010367295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w - 374. Let p be (3 + -25)\/((-5)\/20). Let g = 162 - p. Calculate the remainder when g is divided by s(35).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**4\/(q**5\/q*q*q*q*q**(3\/10)))\/(q**(2\/3)*q*q\/q**(-1)*q*((q*(q\/(q**2\/q))\/q)\/q)\/q*q*q*(q*(q\/(q*q**(-2\/3))*q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-469\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 174*j**5\/5 + 1099*j**2 - 7*j - 16. Differentiate g(c) wrt c.\nAnswer: 2088*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 6:02 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3773080*o - 3773079*o - 2, 4*h - 26 = 3*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 0, -175, -534, -1137, -2044?\n\"Answer: -10*k**3 - 2*k**2 + 25*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 7, 782683 - 17054 = 5*g + 3*x. Round g to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -3 + 0*l**3 + 3\/4*l**4 + 4*l + 0*l**2. What is the derivative of a(q) wrt q?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 3 (c) 4.2 (d) 3\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 28 = -i - i, -2*i + 2*w - 8 = 0. Let f = i - -10. Which is the second smallest value? (a) -0.5 (b) f (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -36912*o**2 + 2*o - 2. Let m be f(-3). Let i = m - -32216. Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + 43. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7454*j**3 + 4*j**2 + 12316*j - 4. Let t(q) = 7454*q**3 + 3*q**2 + 12318*q - 3. Let k(z) = -4*t(z) + 3*x(z). Find the second derivative of k(a) wrt a.\nAnswer: -44724*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 3, x: 4}. What is prob of picking 2 w and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4176 + 131?\nAnswer: 4307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 56.5?\nAnswer: 57.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 3*l**2 + 14*l + 1. Let m be i(-10). Let z be ((-2)\/m)\/(2\/4). Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/63 and 68\/1413.\nAnswer: 9891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -12.03. Let u = -5 - k. Let r = -6.96 + u. Round r to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 300, -10, 0 in descending order.\nAnswer: 300, 0.5, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128, -251, -382, -521, -668, -823?\n\"Answer: -4*v**2 - 111*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 388120 to the nearest one thousand.\nAnswer: 388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 13*o**2 - 12*o + 9. Let m be (-8)\/(-3) + (-13)\/(-39). Suppose -5*i = 3*c + 48, 6*c - 8*c = -m*i - 44. What is j(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6969508025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-570)\/(-95)*(-70)\/(-12)*1\/25*15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001095113753 rounded to seven dps?\nAnswer: -0.0001095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143152029 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -85. Let q = v - 48.27. Let y = q - 4.83. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*k + 2 - 1 = 0, 5*p - k = 27. Suppose -22 = -5*s + 3*n + 44, 2*s - 34 = p*n. Suppose 3*z + z - s = 0. What is the remainder when 5 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 - 42*k - 22. Give p(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 746007.52 rounded to the nearest 1000?\nAnswer: 746000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42053 divided by 411.\nAnswer: -42053\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 65 = -44 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - (-17 - -9)) + 21 - (9 - (2 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42169?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 1. Let y(c) = 17*c**2 - 5 + 3 - 13*c**2 + 2*c. Let m(u) = -u**2 - 7*u - 2. Let k be m(0). Give k*z(o) + y(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + -0.073145.\nAnswer: -0.063145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let m(g) = -g + 2. Let z(j) = 11*i(j) + 6*m(j). Let r(q) = q + 6. Let d be r(0). Is z(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 2*v - 4. Let b(q) = 9*q**2 - 7*q + 13. Give -6*b(l) - 21*k(l).\nAnswer: 9*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:13 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -545412 and -1090821\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 + 0)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1183 + 135 = -4*u - 4*q, 4*q = u - 252. What is the greatest common factor of 500 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 112*y**2 - 1439*y + 2627. Calculate c(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -376903 or -376930?\nAnswer: -376903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3979.1 - 3979. Let s = -0.174 + 75.174. Is d less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843.22138 rounded to the nearest ten?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 4913.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75495 and 1148?\nAnswer: 12381180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*0.02.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3945*h - 43393. Determine g(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -85062 * 11\nAnswer: -935682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 115680 to the nearest one thousand.\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 49. Let f = n - -110. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 397\/18 + -22. Let c(d) be the second derivative of 1\/9*d**3 - 7*d - 1\/30*d**5 - u*d**4 + 1\/3*d**2 + 0. Factor c(f).\nAnswer: -2*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*s - 772, 3*f - 93 = 4*s - 1673. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -21*y**2. Let q = -429 + 982. Let s = -554 + q. Calculate o(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trqz when four letters picked without replacement from {q: 6, t: 1, j: 3, r: 1, z: 2}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - (-629)\/(-148). Let z be (-4)\/4*u\/8*6. Which is the third smallest value? (a) z (b) 0.1 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = -0*y. Suppose 30 = -5*o + 5*i, -20 = -9*i + 4*i. Let w be (-1)\/(o\/(4\/6)). Is w less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 3, c: 5, m: 1}. What is prob of sequence cc?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6994, 7020, 7086, 7216, 7434, 7764, 8230, 8856?\n\"Answer: 4*u**3 - 4*u**2 + 10*u + 6984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/(-1 - 14\/(-32))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l + 4*l + (-2*l + 4*l + 0*l)*(-3 + 2 - 1))*(108 + 213 - 1).\nAnswer: -960*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**4 - 67*t**3 + 166.\nAnswer: -12*t**3 - 201*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -y - 4, 5*r - 5*y = 3*r - 4. Let p be 0\/((r\/2)\/((-9)\/(-6))). Solve -g + p = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4449*y - 5*v = -4447*y + 17, -4*v = 4*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 24 + -104 + 82?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0. Let f = -1\/22 + 61\/374. Sort f, -4\/5, w in decreasing order.\nAnswer: w, f, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -2\/11, -1, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263808846 divided by -1794618.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(16)\/sqrt(32)*1*4)**2 + ((sqrt(512) - (sqrt(512) - (-1 + sqrt(512) - sqrt(512))))*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -1 (b) -1\/4 (c) 44 (d) -8\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5539.\nAnswer: -2\/5539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-30)\/14)*-42 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + -179 + 70 - -48?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1)*(2*l**2 + 4*l**2 - 4*l**2) + (96*l**2 + 0*l**2 - 22*l**2)*(2*l - 13 + 13).\nAnswer: 150*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + y + 0*y**2 + 0*y**2 - 24 + 37. Does 46 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = 6*a + 5*s, -5 = s. Let m be (-6)\/(-6)*(4 + 1). Solve -a = -2*v - m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4 + 4*x + 18*x + 17*x + 4*x. Determine w(-2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylggllyy. What is prob of picking 1 y and 2 l?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9*n = -3306. What is the highest common divisor of 19 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1841, 2\/7, -0.5, -2, -3\/4 in decreasing order.\nAnswer: 1841, 2\/7, -0.5, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a - 4*a**5 + (-5*a + 5*a + a**3)*(-4*a**2 + 25*a**2 - 3*a**2) + (-3*a**4 + 4*a**4 + 3*a**4)*(-2*a + 0*a + a).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 6*b - 4*b**2 - 4 + 2*b**4 + 3 as a*b**2 + y*b**3 + c + s*b + d*b**4 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 5*a + 5. Let c = 74 + -72. Let u(v) = 4 + 5*v - c - 7*v + 0*v - v**2. Let p be (-2)\/(-5) + 8\/5. Give p*z(g) - 5*u(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3015 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 19 = 3*t, -4*o - 674*t - 33 = -669*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (855\/27)\/(4\/12) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*i - 15 = -380*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139066199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-168))\/((-130)\/8*8\/20)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 722 and 13138690?\nAnswer: 249635110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 38. Let v be p + 4 + -5 - -3. Sort 5, v, -3 in increasing order.\nAnswer: v, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from ttihthihhii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 130, 436, 1030, 2008?\nAnswer: 3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 758789551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2841310*h**2*v**2 - 2*h**2*v + 494*h**2 - 49*h*v + v - 4 wrt v.\nAnswer: -5682620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 13. Calculate c(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 162, 347, 606, 939, 1346?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 7*p**2 + 2*p + 5. Let j be z(5). Let w = 33 + j. Let o(v) = -9*v**3 - 3*v**2 - 2*v. What is the tens digit of o(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*v - 24, -2*v + 0*g = -g - 12. Suppose 0 = -2*k, 0 = f - v*k - 4 - 10. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9221, 18427, 27633, 36839, 46045, 55251?\nAnswer: 64457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*n + 36 = 3*n, 2*n = 0. Suppose 0*t + v = 2*t. What is the common denominator of -59\/7 and (42\/4*-7)\/t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:33 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 572*w + 3912*w - 1307*w + 2 + 3444*w in the form q*w + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1 - 7 - 899*l**2.\nAnswer: -899*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose 0 = h*g + 22 - 94. Let q = g + -15. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 24*r. Let n(a) = -69152*a. What is n(z(k))?\nAnswer: -1659648*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-144)\/(-228)) + -4)\/(1\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npsnpuupsnsnuupzujpu. Give prob of picking 1 z, 1 n, and 2 u.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*p + 3)*(-4*p + 4*p - p) + (10*p - 7*p + 2*p)*(-139*p + 76*p - 280*p).\nAnswer: -1713*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 30. Let v be ((-24)\/s)\/(3\/2) + 7. Let q(l) = -l - 11*l - 10*l + v*l. Let b(d) = -d**2. What is b(q(p))?\nAnswer: -361*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 183. Suppose n = -4*n + o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140514200 (base 6) to base 13\nAnswer: -785b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 14) in base 13?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13. Put 3, 0.1, k in ascending order.\nAnswer: k, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 15589624 and -131643.\nAnswer: 15457981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*o = -5*p - 18, 0 = 5*p - 5*o. Let v be -5 - p - (0 - 4). Suppose -4*g - 56 = 4*h, -3*h + 3*g - 5 = 7. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 5\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25641 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**5 + 2370*f**4*g**2 - 10*f*g**2 - 4172*g wrt f.\nAnswer: 240*f**3 + 28440*f**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-3*n - 7*n + 4*n) + 0*n + n - 2*n + 2*n - 1 + 1 + (4 - 5 + 19)*(n - 3*n + 3*n) + 2 - 2 + n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5 (c) 2\/7 (d) 2\/3 (e) -3285 (f) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6883 - 6883. Let f(k) be the third derivative of -1\/210*k**5 - 1\/840*k**6 + 0*k**4 + 0*k + u + 17*k**2 + 0*k**3. Factor f(p).\nAnswer: -p**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53956, -53918, -53880, -53842?\n\"Answer: 38*x - 53994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 5*f**2 + 4*f - 1. Let s be m(-3). Let q = -48 - -68. Suppose 0*r - 4*r = -q. Solve 4*v - r = s*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 27. Let a be o(15). Let v(p) = -9 + 20 - 23*p + 13*p + p**a - 8*p**2. What is v(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80948337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 6849 = -2*f - 6799, -5*z + 5*f + 50 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8335 by -8335.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7147909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, h: 5, s: 2, r: 1, z: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 1. Let x be (-33)\/(-7) + 4\/14. Let q = -157\/204 + 52\/51. Which is the closest to s? (a) 1 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**4 - 5*w - 6. Let j(u) = 10*u**4 - 11*u - 13. Let y(c) = -6*j(c) + 13*x(c). Find the second derivative of y(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - (1 - (-2 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/3*6\/(-4). Let k = b - -11. Solve 2*j - 6 = -k*t + t, 4*t + j = 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**24)**(-5) assuming s is positive.\nAnswer: s**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -17\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 2\/15, 13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 807*d + 596. Give m(-1).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + -4. Suppose c - 3*t = -29, -13 = 2*c + 3*t - 0. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) -1 (c) 0.1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 7*q + 6. Suppose 3*s + 770 = s. Calculate the lowest common multiple of s\/(-33) + 2\/(-3) and v(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hevhhkkni. What is prob of picking 1 h and 1 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*p + 128853 + 120291 = 0. What are the prime factors of p?\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 1272, 2931, 5272?\nAnswer: 8295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:49 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Let a(x) = -x**3 + 2*x**2 + 0 + 6*x + 2*x**2 - 5. Let p be a(5). Solve 0 = f - p*f - j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*z - 321*z = -6*r - 77, 5 = -z for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 4*y + 1107 = -t, -3*t + 5*y + 642 = 0. What is t rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 2. Suppose -3*y = 2*y - 25. Let j be ((-55)\/y)\/(-2 + 1). Let b = -9 + j. What is r(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24123 divided by 187\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.046775 and -2897820?\nAnswer: 2897819.953225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/84696 and 4\/10587.\nAnswer: 84696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2 + sqrt(320) + sqrt(320)*-4 - sqrt(320)) + -4 - ((-3 + (sqrt(320) + 2 - sqrt(320) - sqrt(320)) + sqrt(320) - sqrt(320)) + 0))*6)**2.\nAnswer: 1728*sqrt(5) + 103716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 73*v**3 - 1485*v**2 + 11532*v - 29794. Let h(k) = 3*k**3 + k**2 - 1. Let y(j) = 12*h(j) - 4*s(j). Factor y(t).\nAnswer: -4*(4*t - 31)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 13965670?\nAnswer: -8\/6982835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -660.865 minus -291507.221?\nAnswer: 290846.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 248 = 5*x, -4*o + 40 = 2*x - 76. Let l(z) = z**3 - z**2 - 2*z + 234. Let b be l(0). What is the highest common divisor of b and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + 2.37. Let h = 0.04 + x. Let d = 78 - 1012\/13. Which is the third smallest value? (a) d (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**3 + 5*n**2 - 5*n - 5. Let d(k) = k**3 - k**2 + k + 1. Suppose 46*i + i = 235. What is i*d(v) + s(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*h - 3805, d - 283 - 460 = 3*h. Let v = d + -398. Does 90 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1206*b - 1375*b - 4 to o + i*b and give i.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.4, 0.2, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4616 = 5*m, -2*a - 64 + 974 = m. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/14*(-4)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 0. Suppose 2*g - g + 8 = o, -w*o - 19 = 5*g. Suppose 3*r - 5*c = r + 36, o*r = c + 67. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + 10*w**2 - 2*w**4 - 8*w**2 - 2*w + 0*w**4 in the form x*w**4 + j*w**2 + g*w**3 + p*w + f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153400 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44057.62 milligrams?\nAnswer: 44057620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 567 and 2457.\nAnswer: 7371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -1 + -3 + (-1 + (sqrt(833) - (sqrt(833) + -2)) + sqrt(833))**2)*-1.\nAnswer: -830 - 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -794)\/(2 + (-1 - 2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3022 divided by -3022.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5814816 rounded to 2 dps?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 30. Let m be (-48)\/(-5) + b + (-21)\/35. Solve 4*j + m = -6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 2*x**2 + 6*x**2 - x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 35*a - 81. Let l(w) = 3*w**2 + 3. Give i(l(p)).\nAnswer: -9*p**4 - 123*p**2 - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*b + 2063, 2*b - 10 = -4*y + 1630. Let t = y + -35. Suppose -3*o + 2*v + 563 = 0, -2*v - t = -3*o + o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4103783 * -0.17.\nAnswer: -697643.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24077 is divided by 24055.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2368 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*f + 72*f - 347*f + 43*f - 28*f.\nAnswer: -158*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -8*r**2 + 1. Let i(d) be the second derivative of -d**4\/12 - 3*d - 12. What is i(j(b))?\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 2*y**3 - 3*y)*(151 - 102 + 150)*(5*y + 4*y - 7*y) in the form u*y**2 + n + x*y + h*y**4 + w*y**3 and give h.\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*f - 78, -l - f + 5 + 12 = 0. Let w(p) = p**2 - 598*p - 2398. What is the lowest common multiple of w(-4) and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7800*o + 15550. Give c(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = 5*b. Let y(q) = q + 3*q - 2*q**3 - 3*q. What is the units digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-72) + 1992\/18. Solve 0 = h + w - 115 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a = y - 5, 5*a = 4*y - 11. Let p(d) = -14*d - 1. Calculate p(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 7. Let j be h(5). Suppose 2*f = 2*v - 2, -f + 29 = j*f + 5*v. Let i(c) = 12*c**2 + c**2 + 12*c**2 + f*c**2. Let r(y) = y. What is i(r(s))?\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -48 + 53 + -13 - -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/sqrt(2) - sqrt(448)*2.\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 12*d + 14. Let k be m(13). Let i be 4 - ((0 - -2) + k). Let s be 1*2\/(-4) + i. What is the nearest to 1\/2 in 0.2, -14, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -0.059.\nAnswer: -0.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d - 17*d - 24*d + 90*d - 34*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3534362 is divided by 22656?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yya.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 55 = -5*c + 6*x, -29 = 3*c - 2*x for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) 5 (b) 3\/29 (c) -1\/4 (d) -5 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 446544 and 191376.\nAnswer: 1339632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*z + 188*z - 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*a - 80425, 2*a - 4*o + 50714 - 10508 = 0. Let j = a - -39479. Let t = j + -387583\/20. Find the common denominator of t and -59\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27212, 1\/8, -2\/7.\nAnswer: -2\/7, 1\/8, 27212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6154660*t**5 - 2872901*t**2 wrt t.\nAnswer: 369279600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 3144.\nAnswer: 62.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 4*x + 2. Let o(n) = -2 - 10*n**2 - 1 + 4*n + 7*n**2 + 4. Let u(w) = -3*o(w) + 2*p(w). Determine u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2740 + 2704. Put -4, -2, n, 10 in descending order.\nAnswer: 10, -2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -7 + (-365)\/(-25)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, t: 2}. Give prob of picking 1 t and 2 m.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + (16 - 94) + 58.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 988199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let n(o) be the third derivative of -o**4\/6 - 3*o**2. Suppose 0 = -2*m + m - 3. Give m*n(y) - 16*u(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -213*g + 321. Let o(k) = 106*k - 145. Determine 4*n(r) + 9*o(r).\nAnswer: 102*r - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89356.58 days in seconds?\nAnswer: 7720408512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 3*b - 5*b)*(-138*b**4 - 469*b**2 + 469*b**2).\nAnswer: 276*b**5 - 276*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2432009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 - (8 + -3))) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 10*a - 2*n, 159*n = 5*a + 155*n - 150 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10166 and 76636.\nAnswer: 996268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11135\/718 at most 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(0*l**2 - 2*l**3 + 0*l**2) + 0*l**3 + l**3 - 2*l**3 + 17*l**3 - 5*l**3 - 101*l**3 to f*l**3 + a + o*l + s*l**2 and give f.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-9))\/(2\/6). Let n = 0.1 + -0.2. Let z = n - 0. Which is the nearest to f? (a) z (b) 2\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y + 5. Let r(s) = -2*s + 2. Let k(x) = -3*g(x) + 8*r(x). Let p be k(0). Let b = p + 0. Is 1\/5 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13863 - -19473. Does 80 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136.4 * -11.446.\nAnswer: 1561.2344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 121*k**4\/12 + 11*k**3\/3 + 44*k. Let t(x) = 27*x**2 + 5*x. Calculate -22*t(i) + 5*v(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 2. Let k(m) = -10*m - 7. Suppose 5*p = 4*c - 1, 0 = -5*c + 4*c - p + 7. Determine c*k(s) - 14*n(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -358, 4, -1\/55 in increasing order.\nAnswer: -358, -1\/55, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 8*s - 2013 + 2093, 3*t - 5*s = -50 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564671175.\nAnswer: 3, 5, 7528949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5565 - 5542. Solve q*x - 62 - 99 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 - 13*j + 17. Let p(z) = 13*z - 2*z**2 - 21 + 5 + 0*z**2 - 2*z**2. Let b(m) = -3*a(m) - 4*p(m). Let h be b(12). Is h greater than 1\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -2, 4, 63 in descending order.\nAnswer: 63, 4, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4369 (base 13) to base 9.\nAnswer: 13774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37775 by 5.\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mppiipppi. Give prob of picking 4 p.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000081124 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -256, 5, -43, -2, 2\/3, -9?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-690)\/72)\/23)\/((-13)\/(429\/(-55)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*i**2 - 4\/5 + 1\/10*i**3 - 1\/10*i = 0 for i.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {r: 6, g: 4, t: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 1470. Suppose -w + n - 1455 = 0, -7*n - s = w - 3*n. List the prime factors of w\/(-30) - 2\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (150\/(-2250))\/((-1)\/5). Let l = 109.7 + -105. Let g = l + 0.3. What is the closest to 1\/4 in -5, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -10, 193*t + m - 20 = 196*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/15)\/((-1)\/5). Solve 0 = l*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/((v*v**(-1\/9))\/v)))))**24 assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5\/5 + 594*n**4\/5 - 27621*n**3\/5 + 25824*n**2\/5 + 54036*n\/5 = 0. What is n?\nAnswer: -237, -1, 0, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -948, -4270, -9812, -17574, -27556, -39758?\n\"Answer: -1110*b**2 + 8*b + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2971791*i**3 - 1958907 wrt i?\nAnswer: 8915373*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11441 - 275?\nAnswer: 11166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-18))\/(-11)*(-2)\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-117)\/(-195))\/((14\/2)\/(-49))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 - 9*x**4 + 2*x**4)*(0 - 3*x + 0).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(468) + sqrt(468))*3)**2 - (-2 + (1 + sqrt(13))**2 + (sqrt(91) + (sqrt(91) - sqrt(91)*-2))\/sqrt(7)))*4.\nAnswer: -24*sqrt(13) + 67344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 28*v - 5. Let r be l(1). Suppose 3*n - p + 15 = 2*p, 3*n = -3*p - 33. Let g = r + n. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693, -1389, -2085, -2781, -3477?\nAnswer: -4173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 956 - 961. Put -14, 0, k, 1, -28 in increasing order.\nAnswer: -28, -14, k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 12*s + 8. Give q(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -5, 1.3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/43 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -5. Let i = v + 3. What is the third biggest value in 2\/19, i, 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-316)\/(-1580)*(-10)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, -140, -579, -1432, -2837?\n\"Answer: -23*s**3 - 2*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6233192?\nAnswer: 2, 7, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 4. Calculate b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - -8 - (-21 + -8)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.001119484 * 0.06\nAnswer: -0.00006716904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12098 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*o**3 + 59*o**3 - o**2 + 6*o**2 + 0*o**2 + 5 - 125*o**3 in the form x*o**2 + b*o**3 + q + u*o and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*z**4 - 45*z**3 - 37742*z**2.\nAnswer: 6432*z - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.4 + -24. Round a to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + g**2 + g - 2. Let i = -4 + 3. Let n(t) be the first derivative of t**3\/3 + t**2\/2 - 364. Calculate i*n(w) + j(w).\nAnswer: 3*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.03 (b) -12 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222101122122101 (base 3) to base 16.\nAnswer: d60996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*u = -o + 7, -5*o + 4*u = -6. Let i = o + 2. Solve -i*n = n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019296 to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 489 in -2\/3, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9702308221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d + 537 = 19*d - 264 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 63, 76, 85, 90?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 5*j + 5 = 4*u, u + 4*j = -15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 693*g**2 + 139*g**2 - 5*g**2 + 3 - 3 + 5*g**2 + (-g - 2*g + 4*g)*(g - 4*g + 2*g).\nAnswer: 831*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onn when three letters picked without replacement from {z: 2, l: 1, n: 3, o: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + m**3 + 5 + 2*m**3 + 0 + 0*m**2 - 5*m**2 as s*m**3 + h*m + q*m**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.117, 3, -0.08, -2\/11, -0.1 in descending order.\nAnswer: 3, -0.08, -0.1, -0.117, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/32*(-2)\/54*8.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4*1)\/(((-8)\/14)\/(25587\/19901))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1102 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6 + (-2 - 1)) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(0 - 2 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-9)\/(-12))\/(4\/(56\/21)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 - -97. Suppose v - n - 179 = -3*v, z = v + 5*n - 29. Calculate the remainder when v is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 - 312*g**4 + 5392*g**3 + 28536*g**2 - 33620*g = 0.\nAnswer: -5, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - m + m)*(-1 - 3 + 1) + 17 - 17 + 6*m to the form h*m + q and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 - 36*r**2 + 62*r + 36. Let n(o) = -o**3 - o + 1. Let l(w) = -j(w) + 4*n(w). What is the least common multiple of l(34) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 + 255 + 1073 = -53*u - 403 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(448) - (sqrt(448) - 1*sqrt(448)) - sqrt(28)))\/(6*(sqrt(144) + (sqrt(144) - sqrt(144)*3) - sqrt(144)) - sqrt(144)).\nAnswer: 5*sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*c = -341, 3*x - x = -4*c + 254. Suppose u - x = -2*u. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93587 times 0.3?\nAnswer: 28076.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 435222.3l?\nAnswer: 435222300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43\/15, 2\/37, 2, -19\/71?\nAnswer: -19\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 35703.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -20*s + 1175. Let h(v) = 17*v - 1. What is the remainder when s is divided by h(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4516 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 4. Let k(s) = 5*s + 11. Suppose -x = -3*z + 60, -2*x = 5*z - 160 + 60. Let b be (1 - 0)\/((-5)\/z). Determine b*k(w) + 11*u(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 144*n**2 + 3*n + 5. Let v be p(-2). Calculate the highest common divisor of 275 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2211121200121 (base 3) to base 15\nAnswer: -1ebc84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 7 - 5 - -5. Let r = 3 + y. Is 11 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12240\/2754)\/(40\/(-432))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 4, -3, 0.\nAnswer: -21, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 20*t**2 + 25*t**2 - 52*t**2. Let l(n) be the first derivative of -2*n**3\/3 + 1. What is l(j(p))?\nAnswer: -98*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 + 422076*n**2 - 14845257063*n - 29692202454 = 0.\nAnswer: -2, 70347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 5, -0.008, 3\/7?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 4*x - 460. Let u = 355 - x. Suppose -5*d - 1993*k = -1997*k - 170, 39*d = 5*k + 1195. Calculate the highest common factor of u and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**2*w**4 + 12*v**2*w**2 - v**2*w - 13425*v*w**5 + 69*w wrt w?\nAnswer: 48*v**2*w - 805500*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 351914149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {k: 3, f: 13}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2 + 4*t - 4. Let b(w) = w**2 + w - 1. Let q(m) = 4*b(m) - i(m). Let s(d) be the third derivative of d**5\/20 - d**2. What is q(s(a))?\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/27*-24 + -13 + 11. Put m, 4\/5, -0.1 in decreasing order.\nAnswer: 4\/5, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541, 551, 575, 619, 689, 791?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 2. Let d be u(10). Let b be d\/126 + (-1102)\/18. Let l = -23 - b. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 5*s + 5. Let k be h(-5). Suppose k*j + 10 = -3*o + 2*o, 29 = -4*j - 5*o. Calculate the remainder when (6*5\/(-2))\/j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:00 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/60 - h**3\/6 + h**2. Let q(l) = -10*l**2 + 12*l - 15. Let d(g) = -q(g) + 6*v(g). Factor d(n).\nAnswer: (2*n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times 0.31?\nAnswer: -10.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/24 - 5*u**3\/3 - 6*u**2. Give f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 846, 0, 19, -3, 1, -5, -2 in decreasing order.\nAnswer: 846, 19, 1, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 1065. Suppose 5*o = 3*o - x. Let i = 168 + o. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391570 or -391572?\nAnswer: -391572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2538 - -2540. What is the closest to -7 in y, 1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 17*x**4 - 22*x**2 + 8*x. Let d = 26 - 29. Let m(h) = 6*h**4 - 7*h**2 + 3*h. Let o(c) = d*r(c) + 8*m(c). What is the third derivative of o(f) wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 5*h**2 - 11*h - 13. Let n be k(-6). Suppose -3*w = -469 - n. Is w a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/24 - 2*s**3\/3 - 40*s**2 - 194. Let o(m) be the second derivative of y(m). Determine o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/231*3\/((-3)\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/3259 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p**6\/p)\/p*p**(-3\/10) assuming p is positive.\nAnswer: p**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (54\/126)\/(9\/(-3))*5\/5\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.013798 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3600 + 208 = -14*s. Let t = s - -493. What is the remainder when t is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/5 (b) 5 (c) 2\/5 (d) -1 (e) -2447 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(-1\/2)\/(l*l**(2\/7)*l*l*l\/(l\/(l\/l**(-2\/7)))))\/(l**1*l*l*l*l**0*l)**43 assuming l is positive.\nAnswer: l**(-6155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:57 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 33529638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 634118 = -634138, 2*b + 2 = l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*h + 4*c, 3*h = -5*c + 44 + 5. Let k = h - 11. Suppose 3*v - 65 = 3*j - k*j, 5*v - 4*j - 99 = 0. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 7*q**2 - 5*q - 3. Let g be m(6). Let w = 9 - 10. Is w at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*r = 44*r - 432. Solve -i = -r*q - 1, -38*q = -40*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from llexllxlgxll?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = 0, -4*c = -2*c + 5*g - 57. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + 9*j - 263. Is 14 a factor of s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -6, -19, -48, -99, -178?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 879 = 3*t + 5*o, 3*o = -4*t - 1723. Let y = t + 208. What is the tens digit of y\/(-2)*(-6)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/304 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 19. Give c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4592 or 1051368\/229?\nAnswer: 4592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 1. Let i(v) = -v**2 + 12*v - 13. Let r(g) = -i(g) + 6*s(g). Does 14 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j - 3*j - 5*j + j**4 + 2*j**4 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5*s - 65*k**3*s**3 + 4*k**2*s**2 + 3*k*s**3 - 12*s**3 wrt k.\nAnswer: -60*k**2*s - 390*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.4 + 330.4. Let i = 282 - u. Sort -9, i, 6, 3.\nAnswer: -9, i, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/1 - (-6)\/3. Suppose 4*z = 2*c - 6*c + 88, z = 2*c - 50. Calculate the greatest common divisor of r and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 240415 + -1?\nAnswer: 240414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 17*d - 11\/3*d**3 + 19\/9*d**4 + 10\/3*d**2 + 0*d**6 + 1\/63*d**7 - 10 - 8\/15*d**5. Suppose y(o) = 0. What is o?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/66 + 713*r**3\/33 + 712*r**2\/11 + 4056*r. Factor a(n).\nAnswer: 2*(n + 1)*(n + 712)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256950 and 28778400?\nAnswer: 28778400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.159 less than -5299?\nAnswer: -5299.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 2*i - 9*i + 37968. List the prime factors of i.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5893, -11082, -16271, -21460, -26649, -31838?\nAnswer: -37027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 5, a: 7, d: 1, h: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -479*a**4\/24 - a**3\/3 + 344*a**2. Let d(z) = z. What is d(v(w))?\nAnswer: -479*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2122*t**2 - 3*t**3 + 4 - 2122*t**2 - 4.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 10*h**2 + 10*h + 7. Let d be x(-9). Let s = 2 + d. Let v = -9156\/23 + 398. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.06 + 7. Let l = 22.06 + -23. Let b = l + u. What is the closest to b in -1\/3, -3\/4, -0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264151 (base 7) to base 14\nAnswer: -14061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/344760 and -59\/406368.\nAnswer: 343380960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22\/4)\/(4 + 572\/(-144)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17979 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929 - 36 = -47*x. Let n(g) = g**3 - 8*g**2 + 9*g - 3. Let t be n(6). Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-5)\/(-40)). Suppose 0 = 5*j - 3*j - 4. Suppose f + j*w + 0 = 10, v*f - 20 = -3*w. Solve 3 + 7 = f*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -113\/13086?\nAnswer: -113\/13086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6605 is divided by 610.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q = -38*q - 90. Let b = 48 + q. Let k be (-60)\/(-14) + (-4)\/14. Solve b*l - 3 = -2*s - 1, 4*s = -k*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/10 (c) 15.6 (d) 6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -86840, -173676, -260512, -347348?\n\"Answer: -86836*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxgxxgxxxxxxxxxxx. Give prob of picking 1 g and 1 x.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/p**4*(p\/(p\/(p**(-1)*p)))**(-42\/11))\/((p**5*p*p)\/p**(-1\/2))**37 assuming p is positive.\nAnswer: p**(-555\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 180 + -182. What is the smallest common multiple of 28\/(2 + (-2 - t)) and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.51, 1\/5, -1\/11, -0.2?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-40)\/6)\/(-4))\/(26\/546). Let i = g - 33. Find c, given that -3\/4*c**i + 0*c + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 9 + 6*j - 2*j.\nAnswer: 4*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*v = -2, -5 = -x - 5*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 38 (b) -3 (c) -2\/11 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/65 (b) 1 (c) 2\/9 (d) -10345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489730 - 145*u + 37*u**2 - 489730 - 51*u**2.\nAnswer: -14*u**2 - 145*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-12)*a)\/a)\/(a*(a\/(a**(-3)*a))\/a))**(-14))**(-48) assuming a is positive.\nAnswer: a**6720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 2*o = -157485 + 157533, -o = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1.06963385\nAnswer: 2.06963385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**3 + 3*n - 4. Let p(c) = -3 - 6*c**3 + 41*c - 21*c - 17*c. What is 3*b(f) - 4*p(f)?\nAnswer: 3*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(2\/5)))**(-1\/24)*(p\/((p\/(p\/(p\/p**1)))\/p))**(3\/13)*(p*p**(-8)*p**(3\/5)\/p*p)\/(p\/p**(1\/3))**32 assuming p is positive.\nAnswer: p**(-8527\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 77283\nAnswer: -309132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjkekkjjkqjtkjqjut. Give prob of sequence ukk.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 15. Let n be (-6)\/(-8) + 2\/8 + 0. Let m be n\/(-3) + (-13)\/6. Sort m, 1, y.\nAnswer: m, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 8 + 15 + -33\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2005 + 621?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p**3 + 50*p**3 + 11*p**3 + 17*p**3.\nAnswer: 139*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 3*s**2 - 3. Let r be q(3). Let p = 5 + r. Suppose p*c = -3*z - 2*z + 2, 10 = -z - 3*c. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*g**5 + 76*g**4 - 316*g**2 + 6 wrt g.\nAnswer: 1560*g**2 + 1824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 18*y**2 - 47*y - 711. What is the ten thousands digit of p(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.014?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + p = 1, -y - 7 = -3*y + 3*p. Let b(n) = 19601*n**3 + n**2 + n + 1. Let g be b(y). What is g rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/9, -0.5, 13, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24736 is divided by 8214.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 10 = -5*j, 72*j - 4*y = 67*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/48267752 and 31\/13153?\nAnswer: 337874264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1337 - 4*h - 1320 + 1605*h**2 - 35050*h**2. Let d be x(3). Round d to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209520 by -27.\nAnswer: -7760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-9))\/7 + 372\/9. What are the prime factors of (-2)\/((-4)\/162)*615\/j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5717860 or -5717861?\nAnswer: -5717860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 860+0.07\nAnswer: 860.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*g - 2860 + 18455 = -10139 - 18007 for g.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63104 is divided by 4291.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 + 4*v**3 - 2*v**3 + v**3 - 2*v**3 + 6. Is f(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 56 = -3*g, 0*p = g + 4*p - 23. Suppose 20 = -5*u + 3*q, -3*q = 3*u - q + 31. Let c = u + g. What is the highest common divisor of c and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 13. Let n = 69 - -2. Suppose -17 - n = -8*b. Is h(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-2)\/6). Let j be (3 + z)*4\/2. Find n, given that -j + 2*n**2 - 2*n + 2*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, p: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 13) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1193192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 - 3*d - 2. Suppose 86*f + 12 - 528 = 0. Let n(k) = 5*k**2 + 4*k + 3. What is f*i(q) + 5*n(q)?\nAnswer: -11*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from ffifnoooinefenf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + sqrt(1573) + 0.\nAnswer: -2 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + 60*n - 1. Let w(a) = 22*a**2 + 358*a - 2. Let i(u) = -6*c(u) + w(u). Let d(y) = 3*y**2 - 2*y + 3. Let t = -12 - -17. Give t*i(h) - 6*d(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 48105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11*i = 2648. What are the prime factors of i?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -22, 380, -3, 0.027, -0.3, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 1, i: 1, h: 4}. Give prob of picking 1 x and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 + 16*u**2 - 30*u = 0. What is u?\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 13, -56?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**3 + j**3)*(117 - 12*j**2 + 11*j**2 - 33) + (-j**3 + 0*j**3 - 3*j**3)*(j**2 + j**2 + 0*j**2).\nAnswer: -10*j**5 + 168*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 1b?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687679.\nAnswer: 687679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -792*s**3 - 3754 wrt s?\nAnswer: -2376*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 664 = -2*c, 37*v + 4*c = 41*v - 548. Calculate the remainder when v is divided by 133.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/3, -4 in descending order.\nAnswer: 4\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 6*d**2 + 6*d - 3. What is o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1009944 and 162846.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -731, -772, -823, -890, -979?\n\"Answer: -t**3 + t**2 - 37*t - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211*t - 50*t + 109*t - 50*t to the form d + i*t and give i.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13030312 + 3?\nAnswer: 13030321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18908673 and 14952?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8743*f - 17533. What is r(2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 10. Suppose -3*a = -h*a + 124. Let z = a - 14. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f**2 - 119*f - 20. Determine c(-5).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2 + 4. Let z be (15 - 3)*t\/6. Suppose 2*c - a = -z*a - 14399994, -c - 7199990 = 5*a. What is c rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 243.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324806917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 51. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672414 minus 2258447?\nAnswer: -586033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 10*l - 3. Let g(f) = f. Let n(q) = d(q) - 4*g(q). Let h be n(5). Find the third derivative of a**5 - a**h - 5 + 5 wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 155618544 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 230, 382, 586, 866, 1246, 1750, 2402, 3226?\n\"Answer: 4*u**3 + 2*u**2 + 118*u + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 93107*u - 93107*u. Let x(y) = 229*y**2. Give q(x(p)).\nAnswer: -104882*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -18. Let p = -11 + 16. Suppose 0 = -p*o - 2*w + l + 1, -16 = -o - 3*w. Solve -o - 7 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*t + 6*t + 1518. Does t = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - c - 24 = 0, -3*c = b + 3*b - 40. Suppose b*z - 4 = 3*z. Solve z = -4*o - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.55, -2, -1\/5, 57?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - (3 - (-9 - -5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82201 divided by -11743.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = 4*h - 3*o, 5*h - h - 397 = -o. Calculate the common denominator of 2\/(20\/(-121)) - 0 and -34 + 37 + h\/(-22).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b - 26. Let c be s(-12). Calculate the highest common factor of c and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 1. Let j be w(1). Let n = 20 - 18. Factor n*d - j - 6*d**2 + 2.\nAnswer: -2*d*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.4 and 3.079.\nAnswer: 1.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 4\/3147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 215952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -5\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 57*u**2 + 2*u + 82. What is the remainder when 457 is divided by m(19)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24670436501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 13\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-26)*((-35)\/(560\/(-32)))\/(80\/(-10))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*l - 11 = 0, -5*w + l + 0*l = 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208 or 0.0062?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-45)\/1485*(-1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)*i*i*(i\/(i*i**(1\/10)))\/i*(i*(i*i**1)\/i*i)**(-12))**(2\/11) assuming i is positive.\nAnswer: i**(-697\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from mmqqmqqmqmmmmzmqmqm?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 10, 5*l - 451*k + 101 = -454*k for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 25.999446. What is n rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - ae0?\nAnswer: -ae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(192)\/sqrt(8))*3)\/((sqrt(132) - (sqrt(132) + (sqrt(132) - (2*sqrt(132) + sqrt(132)))))\/sqrt(11) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220 - -34?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 553372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 41*g + 1163. Determine q(-20).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 2*t**2 + 4*t**2)*(-2*t + 5*t - 2*t) + 4*t**3 + 46*t + 2*t**3 - 45*t.\nAnswer: 5*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886487.3ug to tonnes.\nAnswer: 0.0000008864873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/12*9\/6. Let l(s) = 2*s**2 + 5*s - 8. List the prime factors of l(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 5 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z. Let q(y) = 17536 + 6*y - 2*y - 17536. What is q(r(a))?\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z + 0*z**2 - 2 - 5\/3*z**3. Let j(b) be the second derivative of b**3\/3 + 3*b. What is j(a(s))?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65.7 - 66. What is the nearest to 5 in 0.5, -0.4, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 380 = -11*z. Let l(w) = -5*w + 28. Let k be l(5). Solve -b - k*b - z = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 5 (c) 2\/9 (d) -1.1 (e) 4.08 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 691*l*n**2 - 12*l*n - 216518*l*z + 12*n*z + 2*z wrt n.\nAnswer: 1382*l*n - 12*l + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13896025.\nAnswer: 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*s - 8*s - 2408 = -27*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -207*b**2 - 7*b + 16. Let n be l(3). Let q = n + 2813. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233959*u**4 + 208352*u**2 wrt u.\nAnswer: -5615016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 24. Solve -2*w - 2*j - 8 = 8, -4*w = -r*j - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5189342 = 3*o - 1339169. Let s(y) = -261126*y - 13. Let x be s(3). Let h = x - o. Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 11*t**2 + 11*t + 12. Let d be (3 - 5)\/(1\/89). Let h = d + 264. What is the remainder when h is divided by g(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*a, 0*o - 4*o + a + 25 = 0. Suppose -92 = -o*r + 83. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 3*p**2 + 2*p - 2. Let h be w(2). Let v be (-4)\/(-14) + 107\/(-7). Does 9 divide (-264)\/v + h\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*t - 1, -3*h + t + t + 3 = 0. Suppose -h - 3 = w. Let v(d) be the first derivative of d**4\/4 + 5*d**3\/3 + 2*d**2 + 3*d + 44. Give v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g = -339048 + 21126. Let w = 17987 - g. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 - 14*i - 151. Let x(v) = 8*v**2 - 12*v - 152. What is 5*m(g) - 6*x(g)?\nAnswer: -3*g**2 + 2*g + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 7*i + 7. Let o = 3 - 10. List the prime factors of t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5984*r + 5976*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -12 - -15 - -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 88. Suppose -4*d + 120 = -4*n, 3*n - 6*n = -5*d + 88. Let q = n + o. What is the lowest common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z + 13. Let s be n(0). Suppose 4*d = 3*d - 3*v - s, d + 4*v = -17. Is 7 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:30 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f = -93*f - 96 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (32 + -35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/(13\/65*-1)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 123, 120, 117, 114?\n\"Answer: -3*h + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 169*y**2 + 44*y + 284. What is the ten thousands digit of a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26201107 - 76?\nAnswer: -26201205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 20258.\nAnswer: 1580124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3746 is divided by 1240.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -373, -814, -1431, -2224?\nAnswer: -3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 894, -1, 3.\nAnswer: -1, 3, 894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 43 = -21. Let x be ((-3)\/(-36))\/(6\/w). Which is the smallest value? (a) -0.02 (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12*y**3 + 12*y**2 + 25*y + 1. Calculate c(-2).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 10*a = 5*z - 30, 5*z - 15 = -a. Suppose -z*p = -8, 3*p = -3*r - 11 - 10. Let o(c) = -c - 8. Calculate o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ad + -2?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 343, 635, 927, 1219?\n\"Answer: 292*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 less than -6686.219699?\nAnswer: -7116.219699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 16) in base 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 1 (c) 3 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*23263.\nAnswer: -11631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -173203 + -5.193?\nAnswer: -173208.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -612 + 49 - 3*a**2 - 2*a + 6*a**2 + (-4*a - a + 2*a)*(-2*a + 1 - 1) - 2*a**2 + 3*a - 3*a - 5*a**2 + 4*a**2 + 3*a**2 + (3 + a - 3)*(-a - 2*a + 5*a).\nAnswer: 11*a**2 - 2*a - 563","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvfvvfvvfvvvvvvvv. Give prob of sequence lvv.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 1118 - 2049 = -183. Calculate the remainder when 755 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 203*p - 1769. Give a(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9226 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/48 + (-82)\/(-8). Suppose -s = -5*j + 5. Suppose 0*k = -k. Solve j*c + 4*x + 4 = k, -5*c - 1 + 0 = x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a236 (base 14) to base 6\nAnswer: -333024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/72*3\/(-34).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*j - 52, -4*j - 13 = 7. Suppose 9*a + l*a - 84978 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/(-44)*(-4)\/3. Solve 4*m + 5*d - 14 = f*m, 3*m + 5 = -d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2. Let n(c) = c**3 + 11*c**2 + 10*c. Let d be n(-10). Let o = 2 + d. Determine a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -218*j + 626. What is n(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a meter in centimeters?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 83069.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 26 = -4*w, -w = d + 4 - 1. What is the second derivative of -20*i**d - 306 - 16*i - 50*i**2 + 306 wrt i?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 108\/10*(6 - 1). Let j be 5\/(4*10\/48). What is the highest common divisor of j and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 123.\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01379857 rounded to four decimal places?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.4 to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12b3 (base 13) to base 7\nAnswer: -10550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 227.1323 in 0.2, -3\/4, 12.5?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s - s)*(-2*s + 3*s - 2*s) - 3*s**2 + 4*s**2 + s**2 - 232*s + 12*s**2 - 14*s**2 + 3*s**2.\nAnswer: 2*s**2 - 232*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.2. Let q = -8 - -5. Let d(g) = -g**2 + 2*g + 7. Let y be d(4). What is the nearest to 1\/4 in y, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3932502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/60 + c**4\/24 + 4*c**3\/3 - c**2. Let z be o(0). Suppose n = -3*n + z. Solve -n*p - 8 = -18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2922906 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - x = -6 + 9, -9 = 3*x. Solve z*v + 4 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2344.09 - 2344. Is s < 2335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*x - 4224 = -4196, x = 19*b + 244 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + d**2 + d - 2. Let x(f) = f**3 + f**2. Let y(p) = v(p) + x(p). Let y(k) = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a + 6*a)*(0 + 2 - 1) + (-5 + 3 + 0)*(-5 + 3*a + 5)*(0 - 1 + 2)*(-4 + 1 + 4).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 - 154*h**2.\nAnswer: -154*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -424965, -425007, -425083, -425199, -425361, -425575, -425847, -426183?\n\"Answer: -l**3 - 11*l**2 - 2*l - 424951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(18\/27)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7788*j**2 - 22078. Let s(w) = 2*w. Calculate s(f(m)).\nAnswer: -15576*m**2 - 44156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3655 - -3661. Let j(i) be the third derivative of 0 - 1\/945*i**7 + 1\/27*i**3 - 1\/270*i**a + 1\/54*i**4 + 0*i + 4*i**2 + 0*i**5. Let j(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t + 7. Let s be g(-5). Let d = s + 22. What is the remainder when d is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6473235132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 6*k**2 + 5*k + 5. Let g(o) = o**3 - o**2 - o - 1. Determine -5*g(c) - r(c).\nAnswer: -7*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - s + 1. Let u(t) = 7*t**2 + t + 416. Let k(a) = 2*m(a) - u(a). What is the derivative of k(b) wrt b?\nAnswer: -18*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) 3 (b) 0.5 (c) 47 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59366 divided by 6?\nAnswer: 29683\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(126)*2)\/(-2*3*sqrt(175)).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.221 <= 6516116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + -4 + 1 - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 15*q + 52. Let x be r(-12). Suppose -x*t = -2*t - 294. What is the smallest common multiple of 36\/(-16)*8\/(-3) and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-25)*k**31)\/(k**(-15\/8)*k*k**(7\/6)\/k) assuming k is positive.\nAnswer: k**(1409\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllzzpplplllplllplll. What is prob of sequence lzl?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 + c + 2. Let p = -2120 - -2123. Give a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335 * -21282.\nAnswer: -7129470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2641, -10517, -23653, -42049?\n\"Answer: -2630*o**2 + 14*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-12))\/(1\/3). Suppose -110 = -b*y - 0*y. Let r = y - 13. Solve 4*m - 36 = -5*i, r - 1 = 2*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from yli.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -155. Let v be (-2)\/(30\/(-1731)) - -4*(-14)\/56. Let j = k + v. Are j and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (20 + -77) - 88?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 1096 = -1108*j - 10*t, -46*t + 43*t = -5*j + 2*j + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3705076\/18*6\/40. Let s(a) = -4*a**3 - 33*a**2 + 10*a - 101. Let r be s(-23). Let z = c - r. What is the common denominator of -21\/22 and z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 139021 + 27752 - 1398 = 0. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {m: 2, y: 9, j: 1, r: 2}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41979, 335816, 1133365, 2686482, 5247023, 9066844, 14397801?\nAnswer: 21491750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**6\/50 + 6*s**5\/25 + 21*s**4\/20 + 11*s**3\/5 + 12*s**2\/5 + 44*s + 1. Solve w(h) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + 8\/3. Suppose -19 = -3*b + 2*v, u*v + 10 = -0*v. What is the biggest value in -2\/5, -2\/11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**2 + 60*f**3 - 5*f**2 - 208*f**3 - 127*f wrt f?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667770 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 equal to -391\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 147*p**2 - 14*p + 66. Let d be i(15). Let y = d - 17860. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gioarrcrrrcciorcgg. What is prob of picking 1 r and 3 c?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 w when four letters picked without replacement from {z: 4, b: 1, w: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 421 - 400. Suppose -m*v = -5*v - 112. Calculate the remainder when 34 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -144*q + 298. Determine g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*y - 5943 - 5835 = 0 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**3 + 19*q**2 + 24*q + 3. Let z(m) = -11*m**3 - 58*m**2 - 71*m - 9. Let x(d) = -8*b(d) - 3*z(d). Give x(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3191244 and 462.\nAnswer: 35103684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2505 = -15*m - 555. Calculate the highest common factor of m and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in -0.2, 0.4, -1\/4, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*10)\/5*9\/504*-4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50692960 and -0.1.\nAnswer: 5069296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 3*w**2 + 3*w - 4. Let c be f(3). Suppose -47 + c = -2*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*3.094.\nAnswer: 1.11384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2592 is divided by 104.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8753701 + -93.\nAnswer: -8753794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -34\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 33*b**3 - 10*b - 3. Let m(o) = o + 1. Determine -c(d) - 3*m(d).\nAnswer: -33*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/294613?\nAnswer: -3\/294613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -23*b**2 + 60*b + 163. Determine g(-3).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4601662 divided by -6409.\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*4105461\nAnswer: -1231638.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 + 1928\/12 + (-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120593?\nAnswer: 11, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 4 + -2 + 0. Let b be (-3 - 9\/(-3))\/2. Suppose -d = -c - b. Solve 0*u - c*u + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1456 and 24542224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 0, 3*y = -2*k + 1770 - 360. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t\/t**(1\/2)))\/((t\/(t*t**5*t))\/t*t*(t**3\/t)\/t)*((t**(-2\/11)*t)\/t*t\/t**(-5)*t)\/(t**(2\/5)\/t)**(-11) assuming t is positive.\nAnswer: t**(189\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 54 = -117. What is the remainder when m is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**3\/7 + 135*z**2\/7 - 3*z\/7 - 135\/7 = 0?\nAnswer: -45, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 11:33 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + g**2 + 3*g**2)*(0 - 5 + 3) + 2054*g**2 - 1228*g**2 + 1839*g**2.\nAnswer: 2663*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -2 + 3 + (4 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130135 and 482265.\nAnswer: 8198505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-100*6)\/((-6)\/9800). Round i to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1015039451*b**3 + 986542912 wrt b?\nAnswer: -3045118353*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1264 times 28?\nAnswer: -3.5392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-3*p**3 - p**3 + 6*p**3) + p**2 - p**2 + 280*p**3 - 2 - 3*p**3 + 4*p**3 + 0.\nAnswer: 285*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11012 - 0?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004185353 rounded to 7 decimal places?\nAnswer: 0.0000419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(720)*-1)**2.\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (13 + 1 - (216 + -206)) - (-1 - -67).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.176, -5, 3\/4, -0.09 in decreasing order.\nAnswer: 3\/4, -0.09, -0.176, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 - -1064\/5. What is the second smallest value in t, -1, 7\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orr when three letters picked without replacement from {u: 2, r: 2, z: 1, c: 1, o: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) 3 (c) 1\/3 (d) -9\/124 (e) -0.5 (f) 1 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -697 + 361. Let i = 306.1 + t. Round i to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10007100 is divided by 2815.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.1. Let s = 2.6 + d. What is s rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 159a?\nAnswer: -158d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 232449415 divided by -1\nAnswer: -232449415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 193, 296, 451, 664?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1489.1614 * 2.\nAnswer: 2978.3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19 + -16)*5\/3. Solve 3*f = 4*k + 23, s*k - f = 4*f - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437016 by -417.\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(19) + -3).\nAnswer: -5*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeesgsggeeg?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Suppose g*n - 20 = 8*y - 3*y, 5*n - 5*y = 30. Suppose -n*u - 1324 = -4*f, f - 260 - 71 = 2*u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5664 + 0.5664. Which is bigger: w or 0.0642?\nAnswer: 0.0642","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 10:58 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - 3*l**2 - 55*l**3 + 120*l**3 + 8*l - 68*l**3 in the form r*l**4 + u + i*l**3 + g*l + d*l**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -5*i**4\/4 + i + 14. Give p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1092 + 1097. What is the second smallest value in k, -1\/3, -1.78?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2963.1294s?\nAnswer: 49.38549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (-4 + sqrt(153)*-4)) + (sqrt(153) + (sqrt(153) - ((sqrt(153) - 4*sqrt(153)) + -1)))**2.\nAnswer: 45*sqrt(17) + 3830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -427697805*s**4 + 22*s**2 - 11*s - 373882?\nAnswer: -10264747320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 12*24\/(-32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.698308g in nanograms?\nAnswer: 9698308000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 + 2*l - 1. Let s be t(1). Suppose -4*f = 3*k + 7, -f + s*k + 3 = f. Let q = 3 - f. Solve q*w = -4 - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 + 2. Determine u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 6) to base 4\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 484\/847*(42\/(-8))\/(27\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104183305 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9826 = 269*w - 3370 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2 + 3*y + 1. Differentiate p(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v - 54. Is 18 a factor of u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**3 - 22*m**2 + 90*m = 0. Calculate m.\nAnswer: -5, 0, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 785 + -652. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 23321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6974463 and 6327.\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = 39 + 121 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*((r\/(r*(r*r**2*r*r*r)\/r*r*r))\/r)\/r*r)\/(r*r\/((r**1*r)\/r)*r))\/(r\/r**6*r\/(r\/(r\/r**(-2)*r))))**(-4\/9))**25 assuming r is positive.\nAnswer: r**(700\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -248 (b) -9 (c) -0.1 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x - 8*x. Let q = -44 + 68. Let h be q\/(3\/1)*x. Calculate the greatest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) -4 (c) -3\/122 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, l: 2}. Give prob of picking 2 e and 1 l.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19638, 22026, 24416, 26808, 29202, 31598, 33996?\nAnswer: 36396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g + i + 143, 5*i - 20 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + k)*(2724*k + 3035*k - 737*k).\nAnswer: -5022*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 732 - 339. Let o = -389.51 + d. Let v = 0.49 - o. Which is the nearest to 0.1? (a) -2 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 29 = q, -3 = -3*q + 4*p - 14. Let a be (1*-3)\/(q\/21). Suppose 60 = a*o - 2*o. 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: Is 246322691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 4*h - 5. Let k be y(-4). Suppose -733*i = -745*i + 72. Is ((-17)\/k - 3)*(i + 59) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2*-1)\/(-2). Let w be 846\/188*(-4)\/(-6). Solve -u - p = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:03 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.332946 - 2312963902?\nAnswer: -2312963902.332946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1065*n**4 - 4212*n wrt n.\nAnswer: 12780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-40)\/5)\/(-8)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1272?\nAnswer: -1\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 1249 + 2352 - 470 + 2*s**2 to the form w*s**2 + x + m*s and give x.\nAnswer: 3195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/161 or 4476?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-1\/4)\/w*w*w)**(-38)*w**(-2\/7)*w**(1\/4))\/(w**(-1\/2)\/(w\/(w*w*w**3))*((w**1\/w)\/w*w)**(3\/8)) assuming w is positive.\nAnswer: w**(-3025\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43.34235 and 31.\nAnswer: 74.34235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/27)\/((-42)\/(98\/14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6920 + -6915. Solve -2*v + 6 = -h*y, -5*y - 4*v - 34 = -16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*((-4 - 3 + 0)*(5*s + 2*s - 5*s) + 0*s - 6*s + s).\nAnswer: -114*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.332 - 0.032. Let u be ((-15)\/6)\/((-80)\/(-192)) - -9. Put 0.1, z, 5, u in decreasing order.\nAnswer: 5, u, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/3 - 178*u**3\/3 - 322*u**2\/3 + 2242*u\/3 - 580 = 0.\nAnswer: -87, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**5 + 2*d**4 + 33*d**2*k*t - 8*d*k - 2*d + 2*k*t - k wrt d?\nAnswer: 160*d**3 + 24*d**2 + 66*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = -4. Let a be (-4)\/30 + 141\/45. Let o be ((-55)\/(-15) + -3)\/(-2)*12. Sort o, f, a in decreasing order.\nAnswer: f, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**3 - 5*z**2 - 3*z. Suppose -5*r + 3*j = 10, 2*r + 5*j = 3*j - 20. Let m(o) = -6*o**3 + 4*o**2 + 2*o. Determine r*m(w) - 4*x(w).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26137047?\nAnswer: 3, 8712349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 3.42?\nAnswer: 1.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*t = -10, t + 2 = -m - 0*t. Suppose 50*j - 57*j - 35 = m. Let c(s) = -4*s - 7. Determine c(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.26 - 3.74. Sort -0.1, w, -0.039 in ascending order.\nAnswer: w, -0.1, -0.039","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*7712\nAnswer: 6169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3702, -14729, -33078, -58743, -91718?\nAnswer: -131997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Suppose -3*r = r - 52. Let l(m) = -r*m + 6*m + 4*m. Give v(l(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*x - 6734 = -183*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4551 + -4561)*28\/10\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147349887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) + (-16)\/5. Let c = t + -3. Let y(v) = v**3 + 5*v**2 - 9*v - 9. Calculate the lowest common multiple of 8 and y(c).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020390937 to five dps.\nAnswer: -0.02039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 - -418. What are the prime factors of m?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-28)))\/q**(1\/29) assuming q is positive.\nAnswer: q**(-813\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41c (base 13) to base 5.\nAnswer: -10301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (506\/154 - 3) + 15\/21. Let a = -2.5 + 3. What is the nearest to n in 26, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 100 - 100 - w - 4*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1349\/213*(-3)\/1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4678086 millennia to years.\nAnswer: 467.8086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 14*k - 1. Let o(i) = 2*i**3 - 3*i**2 + 28*i + 6. Let a(b) = -o(b) - 2*p(b). Let m(q) = 12*q**3 + 10*q**2 - 12. Calculate -7*a(u) + 2*m(u).\nAnswer: -4*u**3 - u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let y = 3 + j. Let i(n) = -4*n + y*n + 3*n. Give i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Suppose -3*d + 6 = -d, -3*y = -j*d. Solve -3*q**2 + y*q - 2*q**3 - 6*q - q**2 = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1110 and 71\/39146.\nAnswer: 587190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-185 + 90 - -88) + 18 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhiijhrmqir. What is prob of sequence hij?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -183c9dc?\nAnswer: 183c9db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/8 + 2*u**3 + 7*u**2. What is the derivative of r(q) wrt q?\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -122 - 793?\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/(-7))\/((-4)\/(-14)). Suppose 20*p = y*p - 16. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(176) + -3 - -3*sqrt(66)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 667279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 4*z**2 - 2*z - 5. Let d be a(9). Suppose -9*v + 4*v - d = -5*h, -2*h + 412 = -3*v. Let s = 47 + h. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17331071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 95*g**2 + 185*g**2 + 4*g**4 - 91*g**2 in the form b + s*g + y*g**2 + j*g**4 + d*g**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*t - 1, 5*t + 8 + 27 = 5*q. Solve q*n = -2*l + 6*l + 4, 4 = -4*l - n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0118220425 to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 2*a**2 - 5*a**2 - 85*a + 6*a**2.\nAnswer: -7*a**2 - 85*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.48. Let w = 1.92 - d. Let t be -3 + 2 + 1 - 3. What is the closest to 0.1 in w, -3\/5, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14945 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + (119 - -110) + -104?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61005967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1706871, 3413777, 5120697, 6827637, 8534603?\n\"Answer: x**3 + x**2 + 1706896*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356891\/24 - -14871. Let y(g) be the third derivative of -28*g**2 - o*g**4 - 5\/3*g**3 + 0*g + 0. Find the first derivative of y(n) wrt n.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.403036 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 133*n + 1 + 1 + 0 in the form m + c*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21353 - 3*y + 0*y - 12*y**2 + 14*y**2 - 21770 to the form b + i*y + w*y**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 10:11 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 14. Let o(a) = a + 11. Let f(h) = 5*o(h) - 4*r(h). Let t(z) = -4 + z + 894*z**3 - 891*z**3 + z + 2*z**2. Determine 2*f(b) - t(b).\nAnswer: -3*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/133 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2005 + 40109\/20. What is the common denominator of k and 41\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 57?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - sqrt(200)*-1)*-6)\/sqrt(10))\/(-2*sqrt(40) + sqrt(90)\/(1*sqrt(9))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -16*h**3 - 137. Let f(w) = -w. What is z(f(b))?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -152 and 0.14.\nAnswer: -151.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 3*g**3 - 2*g**2)*(3 + 1 - 5)*(-1 + 1 - 2*g + (2 - 5 + 1)*(-3*g + 6*g - g) - 4*g + 3*g - 5*g).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 127*h + 334239. Let a(o) = -o. What is p(a(m))?\nAnswer: -m**2 - 127*m + 334239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 738 in 2, -22, 0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 170 + 5. Let k(a) = -12*a + 117. What is the units digit of k(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50124\/(-20885))\/((-16)\/1250*20\/8)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10411 and 609.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrd when three letters picked without replacement from drr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3252, -3081, -2910, -2739, -2568, -2397?\n\"Answer: 171*v - 3423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*u - 5*p, -4*u - 20 = p - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40.308 - -7137.392. What is l rounded to the nearest ten?\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 2. Let p(o) = 6*o - 2. Let q(j) = 7*h(j) - 6*p(j). Suppose 7*r + 119 = -7. Let m(s) = -3*s - 58. Let z be m(r). Give q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h + 7 - 3*h - 2*h**3 + 14*h + (4*h - h - h)*(-2*h**2 + 0*h**2 + 0*h**2).\nAnswer: -6*h**3 + 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803901419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16139138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634153 divided by -5.\nAnswer: -634153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-4) - 2\/8. Let y = -176 - -120. Let w = y + 84. What is the highest common factor of w and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**2 - 3\/8*g**4 + 0*g**3 + 0*g + 26 - 1\/10*g**5. Factor l(i).\nAnswer: -i*(i - 1)*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 49*b**2 - 67*b - 907. Let j be l(-48). Solve 3*r = -j*o + 14, 5*r - 3*o + 6 = -16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a + 5*b - 22, -4 = -2*b. Let h = a - -4. Let u(i) = 13*i. What are the prime factors of u(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2078, -3627, -7842, -16061, -29622, -49863, -78122, -115737?\nAnswer: -164046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1220257344 to the nearest integer?\nAnswer: 34932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10681.\nAnswer: 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 223704 divided by 3\nAnswer: 74568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/20 - h**5\/10 + h**4\/4 - 2*h**2 - 2. Let q(k) = -5*k**2 + 7*k**3 + 5*k - 2*k**3 + 0*k. Calculate -7*q(m) + 6*z(m).\nAnswer: m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 7*p + 9*p)*(-7*p**4 - 4*p**4 + 3*p**4).\nAnswer: -72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millennium in decades?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6140434043 + 4?\nAnswer: 6140434050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -8 - -7) + (-5 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3928*x**2 + 4*x + 32610 wrt x?\nAnswer: -7856*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.859738 centuries?\nAnswer: 0.0859738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 199685*a. Let m(l) = l**2 - 85*l. Determine i(m(c)).\nAnswer: 199685*c**2 - 16973225*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {j: 5, s: 3, y: 3, q: 2, h: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 417347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*i = -246*i - 4*t - 9, -12*i + 0 - 8 = -14*i - 2*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -18, 0.2, 1\/9, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -857190?\nAnswer: -857190.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**3 - d - 3*d**3 - 7*d**4 - 7*d**3 - 2 + 3 to u*d**4 + o*d**3 + t + i*d**2 + h*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 110 (c) -4\/3 (d) 1\/4 (e) -5 (f) 5\/68\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -33*u - 8*z - 165, -3*u - 2*z - 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 4*j + 20. Suppose 2*h + 14 + j = 0. Put h, -3, -4 in increasing order.\nAnswer: h, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 181\/5. Which is the closest to 0.1? (a) -3 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78061 and 143.\nAnswer: 11162723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1495 divide 154931335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 + 216 + 203 + 10*b - 11*b + 224 - 861 - b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.66 (b) 0.5 (c) 121.5 (d) -1 (e) 0.1 (f) -0.3 (g) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5196129, -5196136, -5196143?\n\"Answer: -7*r - 5196122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 10*q + 23. Let g be a(3). Suppose o - g = -5*p + 8, -2*o = -8. Solve -2*x - 1 = p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -790, -781, -770, -757, -742?\n\"Answer: u**2 + 6*u - 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535702853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -814705, -1629407, -2444109?\n\"Answer: -814702*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1077*i**3 - 2*i**2 - 6*i. Let p(t) = -3233*t**3 - 7*t**2 - 21*t. Give -7*f(s) + 2*p(s).\nAnswer: 1073*s**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 29.114 (c) 15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 + 2. Let k(n) be the third derivative of -n**6\/30 - n**3\/6 - 17*n**2. Determine -4*k(a) - 3*q(a).\nAnswer: a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-2420)\/9680)\/(1*(-3)\/(-24)))\/(23*-1)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/(-18))\/(-13)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxpepgr. What is prob of sequence gr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhixmwmzw. Give prob of sequence xhmh.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*c + 2753 + 22887 = 1734 - 46255 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*n - 249*n = 3135 - 695 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 4\/5 (c) -5 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -195d3b - -3?\nAnswer: -195d38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -362.8 - -363. Is -8 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67465, 125703, 183941, 242179, 300417?\nAnswer: 358655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3499.2752105.\nAnswer: -3502.2752105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714\/(-34)*(-558)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -275, 1\/15, 3, -4, 1 in descending order.\nAnswer: 3, 1, 1\/15, 0, -4, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 84. What is the nearest to i in -4, 4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81663*p + 806536 wrt p?\nAnswer: -81663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*o**2 - 21\/5*o + 18.\nAnswer: -3*(o - 3)*(o + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6399497 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k + 5*s - 7 = 0, 0 = -5*k + 2*s + 50. Let a = -551\/4 - -6009\/44. Calculate the common denominator of a and ((-1)\/4)\/(k\/380).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o - 9. Let d be w(-7). Let t be ((-46570)\/d)\/((-22)\/148). Let f = 7829 - t. What is the common denominator of -51\/20 and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/24)\/(y\/(y\/(y\/(y*y**(-29)*y))*y)) assuming y is positive.\nAnswer: y**(-647\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/((-132)\/(-36)). Suppose -2*j - j = 12. Which is the closest to 1\/2? (a) j (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -80, 62 in decreasing order.\nAnswer: 84, 62, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 442863196+0.02\nAnswer: 442863196.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/4)\/(21\/70). Solve q = -c + 2*c + 3, 5*c = q - w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = y + 4*q, 0 = 9*q - 10*q + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = -3*n + 8, 3*x - n = 14. Is 5 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217*v + 193*v - 30*v)*(0 - 5 + 3 + 5 - 5 + 1 + (-3 + 3 + 2)*(0 + 1 - 3) - 3 + 6 - 4 + (3 - 2 + 2)*(-1 + 2 - 2)).\nAnswer: -3420*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 420466 + -102?\nAnswer: 420364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 - -216?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1 + 2*sqrt(125))**2 - sqrt(125)) + sqrt(125) - -6*(sqrt(125)*1)**2).\nAnswer: 120*sqrt(5) + 7506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296067999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**4 + 36066*m**3 - 108432423*m**2 + 216756660*m - 108360300 = 0?\nAnswer: 1, 6010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p - 1870 + 2*p + 1867 - 8*p.\nAnswer: 28*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 8 = -3*l - 5*h, -5*h - 7 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74382 and 784?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/(-6))\/(2\/3). Suppose -3*f - 3*r + 10 = -f, u = 4*r. Are 5\/3 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 585681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.42164 litres to millilitres.\nAnswer: 78421.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4025 divided by 25?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2650 - -2653. Solve -u + m*x - 9 = 0, -5*u + 48*x - 45*x = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87667 divided by -3?\nAnswer: -87667\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 25*y**2 - 10*y - 673. What is the tens digit of n(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -461\/3 <= -372030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Let y(h) = 2*h + 4 - 3*h**x + 4*h**2 + 8 - h. Let z be y(0). Solve 3*i + z = -0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*t - 4. Let p = t - -6. Suppose k - 2*g = 8, p*g - 13 = -4*k + 6. What is the remainder when 16 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 3 + -2*(-4)\/8. Suppose 0 = 5*q + h - 350, -9*h + g*h - 10 = 0. Let s(y) = -y - q + 71. Let z(v) = -31*v**2. Determine z(s(u)).\nAnswer: -31*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -75) + (4 - -1) - (-6 - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 50. Suppose -2112 = -5*c - g, -4*c - 4*g = -1928 + 248. Let y(t) = -214 + t**2 - 209 + c. Determine y(d(i)).\nAnswer: i**4 - 100*i**2 + 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*0.16.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60560 and 83270.\nAnswer: 666160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = 10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103969008 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 9 - 9) + (5 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(27\/(-36))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1950 divided by -325.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*c + 54*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5 + 22*q**4 + 26*q**3 - 22*q**2 - 24*q = 0.\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ff (base 16) in base 2?\nAnswer: -111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75430, -75427, -75424, -75421?\nAnswer: -75418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2724.651 to the nearest integer.\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 7*n - 3. Let f be b(-5). Suppose -f = -5*h + 3*r, -4*h - 2*r + 12 = h. Suppose l + 7*l**3 - 8*l**3 - h*l + 2*l**2 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16169 - t - 16187 + 9*t.\nAnswer: 8*t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f - -1a2?\nAnswer: 1f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - -2*sqrt(243)*2)*-4 + (sqrt(243) - ((2*(sqrt(243) - (0 + sqrt(243))) + sqrt(243))**2 + sqrt(243)))*3.\nAnswer: -729 - 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23549?\nAnswer: 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -32*p + 48. Is l(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 9*k + 85. Let c = 16 + k. Solve -7 = -3*t + c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194 + -252. Which is smaller: c or 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 2. Let o be n(2). Let m = 20437 - 20436.8. Suppose 5*l - 4*y = -21, -3*l + 0 - 23 = -5*y. What is the second smallest value in o, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 1212, 2759, 4924, 7707, 11108, 15127?\nAnswer: 19764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2122 is divided by 97?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92.6 + 546.6. Let a = c - 453.99997717. What is a rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 8. Let g be l(6). Suppose 3*w + 6 = 0, t = g*t + w - 8. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 894?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 13*g**2 + 31*g - 15. Let m be x(10). Let o(l) = 7*l**2 + 2*l - 3. Let n(d) = 10*d**2 + 3*d - 4. What is m*n(u) + 7*o(u)?\nAnswer: -u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpqsqgzpqqgzpqgppugg. Give prob of picking 1 u, 1 g, and 2 p.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 127. Let f(b) = 2*b**2 - 9*b - 5. Let a be f(-7). Calculate the remainder when p is divided by a\/(-2)*3\/(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (5 - (-12)\/(-4)). Let a be -1*(0 + v - 2). Suppose 5*z - 4402 = -a*l - 986, 0 = 5*l + z - 5686. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/596373512?\nAnswer: -5\/596373512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*d**2 - 25 + 12*d**3 - 177*d**2 + 87*d**2.\nAnswer: 12*d**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2017, 2012, 2007, 2002, 1997, 1992?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/2 - 79145*f\/2 - 22806925.\nAnswer: -5*(f + 599)*(f + 15230)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -707 - -718. Solve 9*w = -2*w - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 3*m - 5*r, -3*r - 3 = 3*m. Let t = 109 - 85. Solve 0*l - 4*n = -4*l, 5*l + 3*n + t = m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638121515.\nAnswer: 5, 47, 101, 111149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 29*f**2 - f + 35. Calculate the remainder when k(29) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 10*h + 15. Let m be f(11). Let b = -23 + m. Let c = 0 - -2. Solve -b*a = c + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 + 2*p**4 - p + 2*p**3 - 4*p**3 + 1 - 2*p**2 + 7*p**2 as d*p**2 + l*p**3 + s*p**4 + f*p + k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125.2 + 152. Let p = -27 + x. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00105580066 and -5.\nAnswer: -5.00105580066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.252 (b) 58 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4739 * 155\nAnswer: -73.4545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*x - 9, 0*a = -4*a - x - 13. Let j(f) be the second derivative of f**4\/12 + f**3\/6 + f**2 + f. Calculate j(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 4. Let w(x) = -x + 2*x + 0*x + 2. Let h(r) = 6*f(r) - 11*w(r). Let s be (24\/(-30))\/((-2)\/5). What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((6 - 3) + 0)*1\/2. Sort 0.4, x, 5, 1.\nAnswer: 0.4, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = -3*z - 5, 0 = 4*d + z - 9. Find the third derivative of -2*q**3 - 2*q**2 + 3*q**3 - d*q**3 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 - 0 - -1. Solve o*q + 4\/5 + 1\/5*q**2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44049491 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 270, 1192, 2698, 4770, 7390?\n\"Answer: -3*h**3 + 310*h**2 + 13*h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323 + -191. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 91578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2833 - 2543. Let r = -272 + 278. Suppose r*l = 18*l - j. Does 32 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 less than or equal to 603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121212101211 (base 3) in base 4?\nAnswer: 31123201321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28334737 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((9 - -2) + (52 - 64))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/81 and 994\/(-441) - (-18)\/9.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 15*c**2 - 8*c + 35. What is the hundreds digit of u(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {d: 2, e: 4, m: 5}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851961967.\nAnswer: 11633, 159199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -442, -645, -830, -991, -1122, -1217?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -238, -243, -250, -259, -270?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 + 4*l + 1. Let j = -4224 - -4229. Let o(m) = -3*m**3 + 4*m + 1. Determine j*s(g) - 6*o(g).\nAnswer: -2*g**3 - 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001024174 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -928 - -928. Which is the second biggest value? (a) x (b) -2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5316 = -8*w + 123484. Suppose -3*j = 2*y - 48340, -j + w = -y - y. What is j rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6346.\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:32 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 3*p**2 - 2*p. Let v be y(-3). Calculate the common denominator of -29\/3 and (29\/3)\/(8\/v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1688?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4752))\/(sqrt(44) + sqrt(88)\/sqrt(2)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(704) - (sqrt(704) + -4*(sqrt(704) + 0 - sqrt(704)))) - -5*(4 + sqrt(704) + -2 - sqrt(704)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:12 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 771, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*d**2*g*k**3 - 3*d**2*g*k**2 - 2*d**2*g + 18*d**2*k**3 - 24*d*g + 15*d*k**2 + g + 5*k**3 wrt k.\nAnswer: -120*d**2*g + 108*d**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*v - 99280 = -96440 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*c**2 - 86 + 76\/5*c.\nAnswer: 2*(c - 5)*(c + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + 0 - (2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23420, -46837, -70254, -93671?\n\"Answer: -23417*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*y + 46. Find the first derivative of y*t**3 - 2*t**3 - 10 - 9 wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6736327, 6736325, 6736323, 6736321, 6736319, 6736317?\nAnswer: 6736315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*390.\nAnswer: 6630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -76, 95 in descending order.\nAnswer: 95, 0, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z + 4*d = 24, 4*d = 2*z. Let b(g) = g**3 - 8*g**2 + 2*g - 10. Let h be b(z). What is the units digit of (h\/(-4))\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/7 (b) -1\/4 (c) -0.1 (d) -113.9 (e) 6\/95 (f) -5 (g) 14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = r + r + d, 9 = -3*r + 2*d. Suppose 3*v = 4*v + q + 11, 3*v - 6*q = 30. Sort r, 1, v, -3 in descending order.\nAnswer: 1, -3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16268 * 1\nAnswer: 16268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 2881 = -9833. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:25 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1501 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110010110000001010 + 110?\nAnswer: -10001110010110000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -477693, -478096, -478509, -478938, -479389, -479868, -480381?\nAnswer: -480934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:59 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**3 + 2 + m - 10*m**2 - 7 + 10*m**3 - 3*m**3. Let v be f(10). Solve 2*k + 3*o + 17 = -0*o, -5*k + v = -2*o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10777734 and -29\/56310.\nAnswer: 53888670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83640 and 224?\nAnswer: 2341920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 5. Let x be y(-5). Let s(d) = d**3 + 3*d**2 - d + 2. Let c be s(-3). Determine a, given that x*a + 2*a**2 + c*a - 5*a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43888141.79 and 7.2.\nAnswer: -43888134.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*x + 17428 + 106974, 0 = -6*p - x + 746557. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/(-3) - -4)\/((-16)\/2424). Let j = m + -97. What is the nearest to j in -0.4, 0.1, 2\/13, 14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86545.2 minus 1.29?\nAnswer: -86546.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 44, 78, 110, 140, 168?\n\"Answer: -t**2 + 37*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 613234877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = 8. Let x = 12 - 12. Suppose 0*m - 2*m + 64 = x. What is the highest common factor of m and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 69. What is the second derivative of -385*i**5 + 194*i**5 + 167*i**p - 42*i wrt i?\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3781641?\nAnswer: 3, 1260547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 17*p**2 - 15*p**2 + 5 + 29.\nAnswer: 5*p**3 - 32*p**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + 166 - 823. Let a = 100 - c. Calculate the greatest common divisor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 818726 (base 11) to base 13\nAnswer: 37046c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h - 303 = -71*h + 102 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -492, -562, -686, -864, -1096, -1382, -1722?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, m: 4, b: 10}. Give prob of picking 2 o and 2 m.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 83 = -15. Let t = k - -27. Let d = t - -9. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 6:30 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.13725 to two dps.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 103. Suppose -4*y + y + a = 0. Suppose 0 = -0*g + 2*g - y. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 62 + 306. Let a = 35 - 27. Let o be (122*1\/a)\/((-2)\/(-8)). Is o > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2364 - 2373. Which is the second biggest value? (a) -5 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -j + 5*s - 8*s, 0 = 2*j + 4*s - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 2 = 55*g - 114 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, l: 6, u: 1, r: 5, k: 2}. Give prob of sequence zur.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i. Let v be (-3 + (3 - -4))\/2. Let w(p) = 4 - 6 + 2 - 2*p**v. Determine w(o(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + 1.1. Let d = 23.43 + -33.43. What is the closest to z in -0.5, -2\/7, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**6 + 9*m**3 - 6*m**2 + 8 wrt m.\nAnswer: 360*m**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 43. Let q be (-141)\/(-132) - 4\/(-22). Sort j, 2\/11, q in descending order.\nAnswer: q, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**6\/120 - 7*d**5\/20 + 2*d**4\/3 + 4*d**3\/3 + 428*d**2. Determine w(20).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010101011010010111 + -11011?\nAnswer: -1011010101011010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12096 + -72347\/6. Let i = 2867\/75 - r. Is i at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, t: 6}. What is prob of picking 2 t?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 586922 divided by -146\nAnswer: -293461\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - 1. Let i(a) = 5*a**2 - 2*a - 4. Let b(q) = i(q) - 5*w(q). Determine b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3 + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 24*z**2\/5 - 12*z\/5 + 96\/5.\nAnswer: 3*(z - 8)*(z - 2)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 6:41 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a**5 - 384*a**4 - 861*a**3 + 1506*a**2 - 288*a = 0.\nAnswer: -3, 0, 2\/9, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*c - 110*c - b = 48625, 2*c = b + 19447. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -563605 (base 11) to base 15\nAnswer: -12b050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 8*c + 17. Suppose 16*y - 4 = 18*y. Let x = y - -7. Let j be u(x). Solve 0*v - j*r + 2 = 4*v, -4*r + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50593 (base 10) to base 6.\nAnswer: 1030121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1049 + 4*b - 1037 - 1038 + 3131)*(3*b - 3*b - b).\nAnswer: -4*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-32\/7)))\/(h\/((h*h**(-2\/3)\/h)\/h*h)*h) assuming h is positive.\nAnswer: h**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*p + p + 6, -2*p = -4*u - 8. Let c = u + 1. Let b = c - 1. Is -4 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2684321 is divided by 335539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*l**2*m**2 - 11*l**2*m - 12*l**2 + 5*m**4 wrt m.\nAnswer: -50*l**2 + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1210*p**2 + 13*p - 15. Determine b(1).\nAnswer: 1208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 3, y: 2, a: 1, d: 4, b: 3, g: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -734412, -733495, -732578, -731661?\n\"Answer: 917*f - 735329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {t: 4, s: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/306)\/5)\/(3\/(-18))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1 - 6) + (-3399)\/(-515))\/(14\/35 - 0). Find s, given that -7\/10*s**m + 3\/5*s**2 - 19\/10*s**3 + 0 + 0*s = 0.\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 8*b**3 + 13 - 5*b**3)*(-9 + 11 - 50)*(4 - 4 + 2).\nAnswer: -96*b**3 - 1248","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16968 and 320.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*f = -18328, 6*f + 20 = f. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8085.42 - -4.\nAnswer: -8081.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, s: 10, u: 2}. Give prob of sequence ujjs.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 276 = 170. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3790554 and 3.\nAnswer: 11371662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 19*w**2 + 10*w + 10. Let a(k) = 2*k**3 + 13*k**2 - 7*k - 7. Let p(g) = -7*a(g) - 5*n(g). What is the units digit of p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 23 - (-421 - -434)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 - 128 = -16*a. What is the greatest common divisor of a and 4600?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*8 + 0)\/(-1). Let p be (2 + o\/10)*15. Let s(r) = p*r + r - r. Calculate s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-3)*(-400)\/500?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42420 and 18929420?\nAnswer: 397517820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 31*n**2 - 33*n + 7. Let q(g) = -g**2 + g + 1. Let t = 211 - 213. Let r(o) = t*q(o) - 2*c(o). Solve r(u) = 0 for u.\nAnswer: 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/5, -0.138 in decreasing order.\nAnswer: 4\/5, -0.138, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 3*z**2 - 42*z - 122. What is s(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2823, 5644, 8465, 11286?\nAnswer: 14107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 196 times -4\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 divided by 244?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -8, 509, -4 in decreasing order.\nAnswer: 509, 14, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4766, -9611, -14458, -19307, -24158, -29011?\nAnswer: -33866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(4\/(-48) + 0). Does 24 divide 13*((208\/l)\/2 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w - 5*n + 14, 3*n = 12. Let d be 12\/7 + (-2)\/(-7). Let k = 390 - 386. Solve k*u - d = w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 53 + 53.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*m**4 - m**2 - m**4 + m**2 + 6*m - 2*m**3 to the form r*m**3 + x*m**2 + q*m**4 + u + d*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*o**2 + 1507818*o - o**3 + 1 + 0 - 1507817*o in the form r*o**2 + j*o + w*o**3 + t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3.416 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 262958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425706 = 12*i - 64*i + 32622. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290802?\nAnswer: 2, 59, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17899\/2 - 8949. What is the smallest value in 4\/3, 2\/847, 2\/11, t?\nAnswer: 2\/847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/1702524 + 1806664765\/471599148. Let k = f - -2\/831. Let s = 2377 + -16668\/7. What is the common denominator of s and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7533 and 1913103?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2, 3\/7, -0.068, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by (-18)\/27*1*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -30*z + 25*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 12 - 12. Let o(t) be the first derivative of -2*t**3\/3 - 1. Determine x(o(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*r)*(38*r - 22*r**4 - 38*r).\nAnswer: -66*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = -5*l + 4, 5*c + 7 = 3*l. Let z = c + -1. Let t(j) = 4*j**2 + 9*j. Let f(d) = 5*d**2 + 10*d. Let x(s) = z*f(s) + 4*t(s). What is x(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46323 - 596034663?\nAnswer: -596080986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 23*z**5\/60 - 11*z**3\/3 - 14*z**2 - 1. Let u(l) be the second derivative of y(l). Differentiate u(h) wrt h.\nAnswer: 46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7617 or -7639?\nAnswer: -7639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (3 + -8)\/(-1). Let p(w) = 2 - w - w**2 - 8 - 5*w. Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*v - d, 5*v + 5*d - 5 = 2*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 22 = -7*r. Suppose r*b + 3*u - 1354 = 334, -5*u = -5*b + 2145. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6409*k + 4397 - 883 = -15713 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 4*w + 9. Let y(j) = -j**2 - j - 2. Let n = -145 - -163. Determine n*y(b) + 4*i(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 = -5*g + g, 5*g - 4 = -2*r. Suppose 3*i = -g*w - 2682, -4*w - 2765 = 2*i + 2591. Let f = w - -298. Round f to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, t: 2, e: 3}. Give prob of sequence et.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 + 144693*d = 0?\nAnswer: 0, 144693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/5*(-4670)\/5137.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5 - 317*v**4 + 7364*v**3 - 36577*v**2 - 149310*v - 88200 = 0. What is v?\nAnswer: -2, -3\/4, 12, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3.1, 0.1, -260?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*y + 5 = -13, -22493*m + 3*y = -22495*m + 21 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 11 = -10*w. Suppose u + w*m - 6*m = 34, 3*u + m = 86. What is the lowest common multiple of 88 and u?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 39*y**2 - 160*y + 1. Does 11 divide n(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -18\/947, -37, -2\/47, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258302.\nAnswer: 2, 11, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.71 (b) -0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 3:31 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + t = 2*i - 6*i - 17, i + 11 = 2*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(24\/6 - 4040\/888). Which is bigger: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 + -65. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1 + 3*f + 5*f - 5*f**2 + 6*f**3 - f - 2*f**3. What are the prime factors of b(3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1116 + 297 = 9*t. Let r = t + 91. Suppose -16*k + 17*k - 160 = r. Does 32 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 12*l - 20*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -3)*(-6)\/15*-1. Let j(u) = -7*u + 7. Let o(i) = 3*i - 3. What is t*j(p) - 5*o(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 474087*i + 3. Let x(u) = -16*u. Calculate x(l(o)).\nAnswer: -7585392*o - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90\/((468\/(-4336))\/(-39))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-472 + -1)*328\/(-1804)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -360?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.556659 minutes in weeks?\nAnswer: 0.03219808125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-1 - (-6)\/4). Let f = 65 + g. Let j be (3\/(-6) - 0)*-2. Solve -k - j = -4*q, -f = 6*k - k + 2*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1282.4 - 1279.4. Put v, -6, 104 in decreasing order.\nAnswer: 104, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 - 150*p + 155 = 0. Calculate p.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**7\/1260 - m**6\/720 - 13*m**4\/12 - m**3\/2 - 47*m. Let t(v) be the third derivative of d(v). What is t(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -1 (c) -15.95 (d) -0.04 (e) 3\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 280e (base 15) in base 13?\nAnswer: 3b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from bqqbpqlqsp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10531 + 10536. Which is the fourth biggest value? (a) r (b) 0.1 (c) -12 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817359 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1184 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3.4 (b) -3\/5 (c) -0.4 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 14 = 3*s, 9 = -3*s + 5*n + 40. Suppose -3*o + 3325 = -0*r + s*r, 0 = o + 3*r - 1106. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11049*z - 928094. What is t(-84)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrpzpzpapprz. Give prob of sequence rrr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (896\/2432)\/((-14)\/(-4)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1212, -2476, -3860, -5364, -6988, -8732, -10596?\nAnswer: -12580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625355?\nAnswer: 5, 181, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17\/79 - 4561\/1738. What is the common denominator of l and -1 + (0 - (-83)\/4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*c - 5*o = -86*c - 1149, 2*o + 1156 = 2*c. Calculate the remainder when c is divided by 92.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -18*j**2. Let q be p(1). Let l(w) = 52*w - 783. Let h be l(15). Let t be -134*(-3)\/q*h. What is t rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214 + 204. Let m(z) = -z**3 - 11*z**2 - 10*z - 6. Calculate m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 11*h**2 + 27*h + 17. Let a be o(-13). Suppose 5*s + 24 = -a*b, -2*s - 3*b = -0*b + 11. Let j(c) = -c**3 - 6*c**2 - 7*c - 4. Determine j(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150 + 165 + 72)*(-k + 18 - 18) + 3 + 2*k - 3 to b*k + r and give b.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*r - v = -1, 5*r + 5 = 5*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45053204 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -41. Suppose -f = -5*r - 16. Let v(a) = 4*a. Give v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/756 and 83\/24?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -0.4 (b) 5 (c) -35 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 482 or 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10488 is divided by 10468?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 16 = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00512632 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172788674.\nAnswer: 2, 3, 197, 349, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11719443869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207222*x**3 + 55*x - 59.\nAnswer: -1243332*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.11 + -0.11. Suppose -2*a - 8 = 8. What is the biggest value in a, n, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(304) - ((-2*sqrt(475))**2 + sqrt(19)).\nAnswer: -1900 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 2 (c) -0.3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 8*y**2 + 49*y - 1. Let i be u(12). Solve j - 2*h - i = 0, -3*j - h = j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 2*o**2 - o + 2. Determine u(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 8:37 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-9)*(-9)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1063*g**6 - 5707*g**5 - 6*g**2 + 236794 wrt g.\nAnswer: 127560*g**3 - 342420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5*h**3 - 29*h**3 - 3.\nAnswer: -34*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 4*y + 9*y)*(3 + 4 - 4) - 2 + 2 + y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmr when three letters picked without replacement from {m: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 5*g. Let z be w(-4). Let p(f) = 3*f + 55. Let h be (-6)\/((-24)\/(-4)) + -3*4. Let v be p(h). Solve -n - v = 5*x, -z*x - x + n - 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2 - (-2 - -1)). Let n be (1 - 3) + 2 - h. Solve -6*r + 2*r - 10 = 3*v, n = 2*r + 2*v + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/12 + 5*q**3\/2 + 14*q**2 + 4*q. Let r be m(16). Let l be r\/(-16)*8\/(-6). Which is bigger: l or -1\/24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6*m = 4*m + 9, -18 = -2*i + 4*m. Suppose -i*y = -14*y + 40. Calculate the remainder when 94 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -8 (c) -2\/11 (d) 4\/3 (e) 0.051 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*p + 0*p = 78, -3*p = -5*s + 97. Solve 6*w - z - s = 2*w, -4*w + 20 = z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -305*m**2 - m**6 + 358*m**2 - 66*m**3 + 0*m**6 wrt m?\nAnswer: -120*m**3 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/441*21 - 3\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3)*6*6.\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4709025.6034 - -5\nAnswer: 4709030.6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 2.2. Let p = k + -0.8. Let y = -9.40000069 + p. What is y rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -279\nAnswer: 83.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.4, 4, 4913.\nAnswer: -0.4, 4, 6, 4913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -5*b - 2*x, 2*x - 64 = 4*b - 2*x. Let t be 8\/b + (-1140)\/(-84). Let k be t + -4 - (0 + -1). Calculate the greatest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(-9 + 9 + 7*b)*((-3 - 1 + 3)*(-4 + 5 + 1) + 5 - 1 + 1) to the form w*b + x and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634135951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k**4 - 125*k**3 - 11*k**2 - 38921?\nAnswer: 32*k**3 - 375*k**2 - 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3562090 divided by 53\nAnswer: 3562090\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2723*b**2 + 5. Let j(r) = 1365*r**2 - 2. Let x(s) = -5*j(s) - 2*l(s). Let q(g) = 2*g**2. Determine q(x(p)).\nAnswer: 3803282*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 8:34 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 1. Let v(o) = o**3 - 10*o**2 + 3*o + 30. Let u(s) = -6*c(s) + v(s). Does 28 divide u(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 105333?\nAnswer: -105333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + o - 1. Suppose 6*a + 2*t - 13 = 3*a, 5*a - 5 = 5*t. Let w be ((-4)\/3)\/(1\/a). Let d be q(w). Solve -5*r - 2 + d = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(18)\/sqrt(3)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b = -54*b - 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a38b45 (base 12) to base 13\nAnswer: -6bac4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*c*u**2 - c + 26*u**2 + 8408 with respect to u.\nAnswer: 244*c*u + 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as 5.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 863280 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*x + 37*x + 38*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*sqrt(300) + 1 + 0.\nAnswer: 1 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -1.3. Let y be 6\/72*9\/2. What is the closest to -1\/3 in q, 4, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01110874 to five decimal places.\nAnswer: -0.01111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*m = 2543 + 355. Solve -i + m = 8*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.013 and -8778071.\nAnswer: -114114.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0, -0.5, -1, -0.3, -5\/468?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169290 and 4070?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/60 + z**4\/2 + 17*z**3\/3 + 10*z**2 + 16*z. Calculate y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 2, -5020.\nAnswer: -5020, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*6)\/3 - 18. Let a be (-15)\/2*n\/20. Let m(o) = -o + 11. Let x be m(a). Solve 6 = 3*v - x*v, 0 = 3*l + 5*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*d**2*g*l + 2*d**2*g - 110*d**2*l - 30*d**2 + 1385*d*g*l - d*g + 2*g*l + 25*l wrt d.\nAnswer: 50*g*l + 4*g - 220*l - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2314918 and 21?\nAnswer: 48613278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 14. Let s(y) = -2*y - 29. Determine -13*b(t) - 6*s(t).\nAnswer: -t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3059739, -3059704, -3059645, -3059562, -3059455?\nAnswer: -3059324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + l - 4. Let t be h(-3). What is the common denominator of 10\/t*1 - 1 and 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*3 + sqrt(1100)*2.\nAnswer: 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z + 832. Is 40 a factor of t(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9013000 to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39112611, -39112609, -39112607, -39112605, -39112603?\n\"Answer: 2*u - 39112613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((366\/4)\/(-3))\/(1\/(-2)). Let g = d - 57. Suppose -2*v - 1057 + 15 = -g*j, -1335 = -5*j - 4*v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let j(s) = -4*s - s - y*s + s. Let m(t) = -t + 4. Let a(u) = 3*u - 11. Let k(i) = -4*a(i) - 11*m(i). Give k(j(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19891, -40098, -60305?\nAnswer: -80512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**12)\/(t\/(t*t**(2\/3))))\/((t*t**(-5\/2))\/(t\/t**(-5))))**(-40) assuming t is positive.\nAnswer: t**(340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 3, l: 1, w: 1, s: 2, k: 10}. Give prob of picking 1 l, 1 p, and 2 s.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*(t*t**(-15))\/t*t)\/t)\/t)\/t**(-4\/13))\/(t*t**(1\/10))**(-42) assuming t is positive.\nAnswer: t**(2113\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*y = 7 + 26, -5 = -y. Solve 5*t = -h - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461 - 127 = -92*n + 489*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22538 is divided by 3592?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2. Let m(q) be the first derivative of 29*q**3\/3 + 8. Calculate m(j(t)).\nAnswer: 261*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x. Let l(y) = y. Let h(k) = -34*l(k) - 6*p(k). Let s(n) = -22 + 73 - 23 - 25 + 14*n**2. Calculate h(s(a)).\nAnswer: 28*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1352*b**2 + 0*b + 2*b**3 - 3*b + 1355*b**2. What is y(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2108 + 5836 = 1324*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04424559 minus -101725469?\nAnswer: 101725469.04424559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5+30608740.9\nAnswer: 30608745.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3061 divided by 55\nAnswer: -3061\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**26\/o**(3\/17) assuming o is positive.\nAnswer: o**(439\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.8. Let c be (-8)\/10 + 3\/(-15). Let q = c - -2. Sort b, -5, q in descending order.\nAnswer: q, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3215, -3216, -3217, -3218?\n\"Answer: -l - 3214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13070 + 28771. Let i = n + -22641. What is i rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/15 - (-13)\/3. Suppose 0 = -4*k - a*q + 12, k - 4*q + 0 - 8 = 0. Suppose 9*z - 3*z = 24. Solve -z*t = k + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97ea9 (base 15) to base 9.\nAnswer: 814846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -15 + 1 - (-2 - 67).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*n - 5 = -17, -4*h = 4*n - 32. Let l be (4\/h + 2)*2. Suppose g = -4*y + 16, -4*y + 2*y = 2*g - 2. Do l and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 967703.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(931))**2 + 3.\nAnswer: 14899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.173*-28\nAnswer: -4.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2 - (0 + 1))) + (89 - (50 + -10))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1337, -1945, -2967, -4409, -6277, -8577?\n\"Answer: -z**3 - 201*z**2 + 2*z - 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (28\/6 - 3). Let x be 42\/63*-1*6. What is the nearest to i in 2, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 21*k + 4*a = -12242, -3*a = -3*k + 7344. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001101011110100000 - -10001?\nAnswer: 110001101011110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 13. Let y be t(10). Suppose 2*k - y*k = -37. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 + 215. Solve -k*x = 13 - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, k: 2, m: 3, j: 1, o: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-2*w + 3*w + 0*w) - 1 + 10*w - 4 + w + (3*w - 3*w + 2*w)*(0 - 3 + 1).\nAnswer: 9*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/(-1*sqrt(6) - sqrt(6))*4 + (-6*(sqrt(2) + sqrt(6)\/sqrt(3)) - -3*sqrt(162))**2 + -4.\nAnswer: -6*sqrt(2) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.14 (b) -0.1 (c) 1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 46*o**4 - 320*o**3 + 722*o**2 - 520*o - 24 = 0.\nAnswer: -1\/23, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*j + 11, -5*r + 3*j + 19 = 2. Let w be ((-4)\/12)\/(r\/(-18)). Solve w*v = 4*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*t - 39*t + 88*t to the form a*t + c and give a.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/11)*v)\/(v**(-2\/33)\/v)*(v\/(v**10*v))\/v**(-8) assuming v is positive.\nAnswer: v**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/3 - 2000*s**4\/3 + 1995*s**3 + 12010*s**2\/3 - 55940*s\/3 + 15976 = 0.\nAnswer: -3, 2, 1997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*c - 12*c - 34 - 15*c - 10*c as q + o*c and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x**3)*(0*x - 10*x**2 - x + 11*x**2).\nAnswer: -2*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -22*j**3 - 51010*j**2 + 564036*j + 615024 = 0.\nAnswer: -25626\/11, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikfdvkdvkrffvdffd. What is prob of sequence ifr?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 35*m**5 + 530*m**4 + 2960*m**3 + 7230*m**2 + 6525*m = 0.\nAnswer: -5, -29\/7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15128\/36 - 3\/81*6 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -47, -59, -85, -131, -203, -307?\n\"Answer: -t**3 + 2*t**2 - 3*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/120 + h**5\/40 - h**4\/6 + 2*h**3\/3 - 2*h**2. Let z(x) be the first derivative of v(x). What is the units digit of z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*f - 3. Suppose 2*g - f = -0*g. Suppose 5*x**3 - g*x - 7*x**3 + 5*x = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 300, 600, 900?\n\"Answer: 300*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-101)*65 - (-30 + 82\/((-4100)\/(-1050))).\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 616910 divided by -61691\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -4*c**5\/35 + 5*c**4\/7 - 8*c**3\/7 - 8*c**2\/7 + 32*c\/7 + 1. Factor v(z).\nAnswer: -4*(z - 2)**3*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1 - -22)\/(2 + -3). What are the prime factors of q\/((9\/(-6) - -2)*-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -246 - -247. Let h be (16\/(-8))\/((o - 0) + -2). Solve -14 = 4*u + 2*v, -u + 2*v - h = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -124*i**2. Let y(r) = 4*r**2. Calculate s(y(l)).\nAnswer: -1984*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 48*g = -96375 + 95745 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -588357, -0.17, 4\/3 in increasing order.\nAnswer: -588357, -0.17, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 16*r**2 + 16*r - 19. Let a be z(-17). Let q be (0 + a\/(-5))\/(6\/30). Solve 19 = -5*o - 2*c, -c = -o + q*c - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116074 and 7834995?\nAnswer: 15669990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1051 to the nearest 10.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 2. Suppose 0 = 3*r + 12, -3*n + 0*n - 2*r = 23. Which is the biggest value? (a) n (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372201733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203948821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1237604, -1237601, -1237596, -1237589?\nAnswer: -1237580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 2*s**2 + s**3 - 5*s**2 - 27 as t + l*s**2 + q*s**3 + j*s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-7 - -16 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406.92817 rounded to the nearest 10?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**3 + 569*c**2 + 736*c + 5337. What is p(191)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + x - 285 = -0*x, 3*l + 405 = -3*x. Let y = l + 698\/5. Let s be ((-9)\/12)\/(78\/(-16)). Sort y, s, -2\/7 in decreasing order.\nAnswer: s, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1588621 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 (-173 + 184 - (-5 - (0 + -3))) + 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 = -24*d - 299 + 175 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1577, 3161, 4747, 6335, 7925, 9517, 11111?\nAnswer: 12707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -3\/10*w**5 - 2*w**2 + 0 - 2\/3*w**3 - 1\/12*w**4 + 28*w. Let j be t(-1). Solve 0*q + 10 = -j*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/(6\/(-2)) + 3. Let t = 64 + i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*x - 15, 0 = -5*x + 15. Let o = 1 + y. Let l be (-2 - o)\/((-7)\/49). Calculate the highest common factor of l and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 110*z + 2128. Let j be s(25). Solve 5*u - 14 = j*i, -3 = 2*u - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -p + 22, 14 = -2*x - 6*p + 5*p. Let d(n) = 28*n - 21. Let h(s) = 82*s - 62. Let c(l) = x*h(l) + 17*d(l). Differentiate c(j) with respect to j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56500, -56502, -56504?\nAnswer: -56506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:32 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98178.73ug in milligrams?\nAnswer: 98.17873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -29313, 3, 2, 4, -1, 52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13475 - -27878. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcmdmpcdm. What is prob of picking 2 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 232, 464, 696?\n\"Answer: 232*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*k**3 - 593*k**2 - 2 + 617*k**2 - 5*k - 77*k**3 to w*k**2 + l + c*k**3 + v*k and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:27 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72.296 - 106.33. Let q = 0.024 + -34.024. Let i = q - b. Round i to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -233274 (b) 0 (c) -2\/17 (d) 5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyam. Give prob of sequence yy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -16699.3.\nAnswer: 66797.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.0536 + 325.8364. What is v rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10374*m + 10374*m + 9*m**4 + (-3*m**2 + 5*m**2 + m**2)*(-1 + 5 - 5)*(-4 + m**2 + 4).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*r*v**2 - 3*r + 2*v**2 + v + 2 wrt v?\nAnswer: 20*r*v + 4*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 4 + (-7 - -10). Suppose r*s = 2*s. Let v(o) be the first derivative of -o**2\/2 + 10*o - 870. Give v(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 3 = -c - 4*t, 4*c - 24 = 2*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooozzoooooo?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let v(j) = 45 - j + 6*j - 12 - 13 - 19. Calculate v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.636999um in meters?\nAnswer: 0.000000636999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3334 (base 6) to base 4\nAnswer: 30022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100000011100101011100111?\nAnswer: 100000011100101011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:57 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 48.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 41 + 56 = -29 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115684580 divided by -525839.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2449*i**3*p**2 - 1465*i**3 - 134*i**2*p**2 - 2*i**2*p + 285*i - 27 wrt i?\nAnswer: 14694*p**2 - 8790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1901, -1800, -1623, -1370?\n\"Answer: 38*h**2 - 13*h - 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*30\/(-12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.83256 days in microseconds?\nAnswer: 6292733184000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 9*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r - 12 = 0. Suppose 4*n - 2710 = q, 0*q - r*q - 8 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - o + 62 = 0, 4*v - o - 18 = 40. Suppose -5*r - v + 170 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003309 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3))**(3\/2))**(-5\/9)\/((v**(-2))**(-8)*v**(2\/3)\/v*v*v**4) assuming v is positive.\nAnswer: v**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 41 = -16. Suppose 0 = -l*p - m + 24, 2*p + m - 5*m = -8. Suppose 4*n + 2*v = -0*n, n - 14 = 3*v. Calculate the remainder when p is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - a - 24 = -o, -68 = -4*o - 3*a. Is (1 + 1)*o*(-647)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96027325.\nAnswer: 5, 491, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -16 - (10 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f + 5*i - 115 = 0, 0 = -3*f - 2*i + 65. Let d = 245707\/6 - 40951. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00783 and 314.7854.\nAnswer: 314.79323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55a467 (base 13) in base 3?\nAnswer: 10210201122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24936193*q**2 - 15*q**3 - 24936193*q**2 + 200*q**3.\nAnswer: 185*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -10. Let x(d) = d - 5. Let z(r) be the first derivative of -3*r + 17. Determine a*z(l) - 3*x(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + sqrt(5))*1 - (-4 + sqrt(5) + 1 + sqrt(5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (129\/4)\/((-13)\/52). Let l = h - -201. Calculate the greatest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-51)\/45 - 196\/(-245))*6\/10. Which is the nearest to 4? (a) 20 (b) 3 (c) 0 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.8 + -1.8. Which is the third smallest value? (a) -4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:19 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896801 is divided by 6125?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**2 + 1272*x - 542. Calculate l(-105).\nAnswer: -1802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/9 (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(8\/7)))\/s)\/s*s\/s**(-3\/2))\/(((s\/s**9)\/s*s)\/s**(-4\/13)) assuming s is positive.\nAnswer: s**(1283\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 9660 = 8*v. Suppose v = 3*w - 266. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 15 + 1. Suppose -25*d = -26*d - v. What are the prime factors of (0\/(-9))\/(2\/d) - -72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/336*(-147)\/(-14)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -17*c**2 - 571*c - 172. What is j(-33)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.74*17.1.\nAnswer: -29.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1bbfd2?\nAnswer: -1bbfd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/4 (b) 14 (c) -1\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37106513*a**4*x + 4*a*x - 170713771*x - 2 wrt a?\nAnswer: -148426052*a**3*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, -0.2, 7878, 0.376 in increasing order.\nAnswer: -1, -0.2, 0.376, 1, 3, 7878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = r - 5*r - 4*t, -4*r + 38 = 2*t. Let b be ((-12)\/14)\/(r\/(-42)). Suppose -5*n = -b*x + 10 + 12, 0 = 4*n - 8. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z**3 + 505*z**2 - 21*z - 879. Let w be m(42). Determine s, given that 0 + 27\/7*s**2 + 6\/7*s + 12\/7*s**w = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*y**27)*y)*y\/((y*y**(3\/2)*y)\/y)*(y\/((y**(-9)\/y)\/y))**29)**(3\/8) assuming y is positive.\nAnswer: y**(2247\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1300 - 2554304?\nAnswer: -2553004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -148.19*0.3\nAnswer: -44.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d**(-3))\/(d**0*d)**(-6\/11)*(d**1\/d**2)**25 assuming d is positive.\nAnswer: d**(-291\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-36))\/(3\/(-108)). Let t be (20\/k + -2)*10\/15. Put t, 1\/6, -4, 0.5 in ascending order.\nAnswer: -4, t, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, -6\/205, 3\/182980 in ascending order.\nAnswer: -0.4, -6\/205, 3\/182980, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 994 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*w**2 - 114*w + 70462.\nAnswer: 42*w - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(21)\/(sqrt(9)\/sqrt(3))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -315276510*z - 32058373 with respect to z.\nAnswer: -315276510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482016111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69\/5 + 67\/5. What is the closest to 0.3 in 4, b, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7915697 and 2?\nAnswer: 15831394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(-1*sqrt(304)*-4*4 + -3*(sqrt(304) + 2)*1))**2.\nAnswer: -5616*sqrt(19) + 462712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012022102 + -2210?\nAnswer: 10012012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*u*y - 2*a**2*y - 43*a*y + 2*u*y + 139*u with respect to u.\nAnswer: -4*a**2*y + 2*y + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/17 and 31\/1087.\nAnswer: 18479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/7 + 14005*q**3\/7 - 3995*q**2 - 574165*q\/7 + 84018 = 0.\nAnswer: -6, 1, 7, 14003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/7 - 3231222*m**3\/7 + 1740135833424*m**2\/7 - 44625534854555520*m + 937120570810407936\/7.\nAnswer: 2*(m - 538536)**3*(m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 108882?\nAnswer: -1\/54441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17147*a**4 - a + 18240 wrt a?\nAnswer: 205764*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2943 - -2277. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 93708*b**2 - 93711*b = 0. Calculate b.\nAnswer: -31237, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 - (-46270)\/8. Let k = v + -81037\/14. Calculate the common denominator of k and (6\/(-4))\/(1\/(-23)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1. Let u(b) = 2*b**2 + 5*b. Let c(i) = u(i) - 4*v(i). Let m(z) = z**3 - 5*z**2 - 7*z + 2. Let y be m(6). What is the units digit of c(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = 1. Suppose 0 = -12*v + 13*v - 5. Suppose -4*f + w + 7 = 3*r, -3*f + v*r = -35. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9) - (-68)\/(-12) - -5. Let g(l) = -6*l + 654. What is the tens digit of g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -373620?\nAnswer: 373607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - 48909\/(-315) - (-36)\/(-135).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 21, -2 in decreasing order.\nAnswer: 21, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 3, 0, -1 in ascending order.\nAnswer: -1, 0, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*z + 13106 - 4988, 3*z + 4058 = 2*g. Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161913 is divided by 479.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13293039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 1:52 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1) + (-1 - -6). Let f(r) = -3*r**2 + 26*r + 20. Let k(u) = u**2 - 9*u - 7. Let c(q) = -6*f(q) - 17*k(q). What is the units digit of c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1332 + -661. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(5*sqrt(108)) + 2.\nAnswer: sqrt(7)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j**2 + 37*j**2 + 107*j**2.\nAnswer: 101*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*i**2 - 448211*i**3 + 3*i - 3*i + 448221*i**3 as o*i + j*i**2 + a + p*i**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -102875, -411860, -926951, -1648148?\n\"Answer: -103053*y**2 + 174*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m. Let s be l(4). Let d = 13 - s. What is the smallest common multiple of 4 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (-34)\/10. Let c = v - 1. Solve c*o + 2*o - 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tqdqgwdct.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/10 - 5*b**4\/24 + 5*b**3\/6 - 8*b**2. List the prime factors of p(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196946 = 121*s + 186661 for s.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200052429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 25*x - 23. What is the third derivative of 27*r**2 + 35*r**2 + 86*r**x - 8*r**2 + 36*r**2 wrt r?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 3:37 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -10*z - 2. Let u = -13 - -8. Let s = u + 5.1. Which is the nearest to -1\/3? (a) 3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 20*v**3\/3 - 7*v**2\/2 + 2*v. Let a be (4 - 1) + 0*(-11)\/176. What is the units digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2221? (a) -5 (b) -0.3 (c) 34 (d) -0.1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (80\/(-36))\/(3\/(-27)). Suppose w*q = 2621 + 1079. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -13 - 53) + (-18 - -36 - 32).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + (2 - -1))\/2. Which is the smallest value? (a) -0.1 (b) o (c) -0.01 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 9742741*b.\nAnswer: b*(b - 9742741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -5, -0.05, -0.18, 7, 1\/5, 1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaavevewaaeveevv. Give prob of picking 2 e, 1 v, and 1 a.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*t - 174*t**3 + 186*t**3 + 701*t.\nAnswer: 12*t**3 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 37*a**3 - a + 23*a**4 - 2 - 35*a**3 to the form g*a**3 + r*a + m*a**4 + x*a**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/6 - 865760*g + 1124310566400 = 0. What is g?\nAnswer: 2597280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4412615 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -28 + 55 + -15 + (-4 - -7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361223 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -310. Suppose -5*k = -d - 51. What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b + 6. Let q(d) = 6*d + 7. Let y(x) = 2*p(x) - 3*q(x). List the prime factors of y(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 963140c0 - 4?\nAnswer: 963140b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:53 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30599*y**5 - 92*y**3 + 9713542*y**2 wrt y.\nAnswer: 1835940*y**2 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -4, -0.071, 2\/11, 1\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 188*s**2\/3 + 397*s + 1746.\nAnswer: -(s - 9)*(s + 3)*(s + 194)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 2, 0.1, -0.07 in decreasing order.\nAnswer: 2, 0.1, 0, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 33, 175, 383, 663, 1021, 1463, 1995?\nAnswer: 2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 5:43 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0.4, -6, 1\/5, -3 in increasing order.\nAnswer: -6, -3, 1\/5, 0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 + 21101?\nAnswer: 102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42186\/(-10)*(-125)\/75.\nAnswer: 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b (base 16) to base 6.\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.896, -1\/2, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:57 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 n when three letters picked without replacement from nnnjnnjnnnjjjjnnen.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168 or -166?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153.117 and 1.78.\nAnswer: -272.54826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k - 80 + 145 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6200 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y*y*y**(-2)*((y*((y**(-1)*y)\/y)\/y)\/y)**40 assuming y is positive.\nAnswer: y**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1314\/324 + (-2)\/1 + -2. Let h(n) be the first derivative of l*n**4 - 14 - 2\/9*n**3 - 2\/9*n + 1\/3*n**2. Factor h(j).\nAnswer: 2*(j - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -28, -63, -110, -169, -240?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 68079490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.1*-0.4.\nAnswer: 12.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 8*h**2 - 172 - 65.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120487 or -120485?\nAnswer: -120485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -18. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1944, 3892, 5852, 7830, 9832, 11864, 13932, 16042?\nAnswer: 18200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -211*6\/15 + 6\/15. Is (44\/(-6))\/((32\/z)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 3. Let i(m) = -5*m**2 - 5. Suppose 3 = -5*d - 4*w, 13 + 5 = -2*d + 4*w. Determine d*i(r) - 5*a(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 9*z + 6. Calculate l(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 - 5*x**2 + 5*x - 19. Let c(w) = -w**3 + 2*w**2 - 2*w + 9. Give -5*c(z) - 2*h(z).\nAnswer: -z**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72865\/(-76))\/(-59)*(-8)\/(-52))\/(2\/12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588323 is divided by 849?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 11*w. Let t(h) = h**3 + 2*h**2 - 189*h - 72. Let d be t(13). Calculate s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3445 (base 11) to base 7\nAnswer: 16124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2 + 4203295*z + z**3 - 11 - 8*z**2 - 4203312*z. What is m(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -0.75 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -21565, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(-3\/4)\/a))\/a**(-9)*(a\/(a\/a**(-2\/7)*a*a))**(-22\/3))**33 assuming a is positive.\nAnswer: a**(27269\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -105733278 divided by -9?\nAnswer: 11748142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 39. Let i(v) = -3*v**3 + 12*v**2 - 8*v + 4. Let g be ((-15)\/10)\/(5\/(-10)). Let o be i(g). Solve o*d = 3*d - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 306 = 7*w. Suppose w*c + 676 = 310*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 9) in base 8?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 3*b + 4*b)*(235*b + 16716 - 8355 - 8358) to l*b**2 + h + a*b and give l.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 21 = 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14193243587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 30 = 7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 5*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 199380\nAnswer: 39876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21312, 42625, 63938?\nAnswer: 85251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47546732*p**6 + 4407*p**2 - 12563*p.\nAnswer: -5705607840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 8. Suppose 0*c + d = 4*c. Suppose -o - 2*o + 3 = 0. What is the second biggest value in o, c, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -116, -398, -948, -1856, -3212, -5106, -7628?\nAnswer: -10868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Solve 4*q - 3*a - 17 = 0, -5*q + d*a - 6 + 28 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s**(-10)*((s*s**(-2))\/s)**12)**(-2) assuming s is positive.\nAnswer: s**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 72 = 885*f - 882*f, -22 = f + 13*q - 15*q for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2. Let c be 0\/(-2) + (0 - 14)\/(-7). Let g(o) = -54*o. Let w be g(-1). Let r(i) = w*i - 3*i**c - 54*i. Give f(r(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:51 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**2 + 6*q**2 - 62 - 67 - q + 124 - 54 in the form l + d*q + x*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 12*s + 133. Let n be q(-7). Solve n = 24*v - 96 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 13*o**2 - 34*o + 261. What is q(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -24*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -155346 divided by -77673\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 12*u**2 - 20*u + 3. Let t be s(-10). Suppose 10 = t*z - z. Solve -4*q = 5*w + 28, -6*q = -q - z*w - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10204232 (base 5) in base 2?\nAnswer: -10100101111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 44, -5, -144 in increasing order.\nAnswer: -144, -5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22 - (4 + -2)) + 0. Let a = -22 + q. Is (-32 + -2)*(a + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 268\/32)\/(19 + 13392\/192)\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135 + 274 + 395*s**2 - 137 + (-5*s**2 + 3*s**2 + 0*s**2)*(7 - 6 + 9) as d + y*s**2 + j*s and give y.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 328400*q**2. Let j(v) = -332*v. Give a(j(t)).\nAnswer: 36197561600*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42898 = 8*t + 7930. Suppose -33513 = -4*n + c + t, -2*n + 3*c = -18932. Suppose v = -5*w + n, 0 = 3*w + 3*v - 1658 - 4018. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.11 - -0.3?\nAnswer: 329.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**3\/6 + 10*z. Let s(b) = -1. Let j(n) = n + 5. Let c(g) = 3*j(g) + 15*s(g). Give c(k(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 7*g**2 + 8*g - 9. Let j be u(6). Let n = -2 + j. Suppose 24 = 7*q - 6*q - 4*r, -2*r - 6 = q. Put -5, q, n in descending order.\nAnswer: q, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-30)*i)\/i**(2\/33))\/((((i\/i**(-27)*i*i)\/i)\/i)\/i**(-43)) assuming i is positive.\nAnswer: i**(-3302\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 585 + -205. What is u rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01699938 + -0.017. Round i to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 + -110. Let l = 0.4 + 4.6. Which is the biggest value? (a) l (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263014681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 353, 762, 1323, 2030, 2877, 3858, 4967?\nAnswer: 6198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 17*z**2 - 3 + 4.\nAnswer: 17*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a1f2 (base 16) to base 14\nAnswer: 11174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 13*a - 9. What is the remainder when 131 is divided by f(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172632109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l = -54*l. Let c(y) be the third derivative of 1\/6*y**4 + 0*y + 1\/60*y**6 + 3*y**2 + 0*y**3 - 1\/10*y**5 + l. Factor c(i).\nAnswer: 2*i*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147978 is divided by 3664.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (-5)\/(-2)*180\/25. What is the nearest to -1 in 4\/9, 1, d?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1b0 (base 12) to base 10.\nAnswer: -19284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f - 39. Find the common denominator of (-12)\/(-4) - (-99)\/f and -67\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1.1\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 3. Let d be g(3). Suppose -5*z + 26 = -c, c - 20 = -5*z + 4. Sort 5, c, 2, d in decreasing order.\nAnswer: 5, d, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 6*h - 3. Let u be s(6). Let x = -1204 - -1208. Sort u, -2, 2\/7, x in decreasing order.\nAnswer: x, 2\/7, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46599343.66 and -0.0489.\nAnswer: 46599343.6111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/5)\/1 - (-882)\/35. Suppose 5*v + 2*f = 193, -v + f + 2*f = -u. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000229334 rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*l - 354. Suppose 0 = -7*p - 123 - l. Suppose -5*y + 8*y = -87. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -51*j + 35. Let m be a(2). Let k = 276 - m. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51697.69 minutes in nanoseconds?\nAnswer: 3101861400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 28*s. Let t = -44 + 53. Let g(c) = -t*c + 13*c + 0*c. Let l(i) = -28*g(i) - 4*m(i). Let b(x) = 2*x. Determine b(l(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 19144*w**2. Let d(i) = -i - 266. Give d(y(u)).\nAnswer: -19144*u**2 - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 4*b - 4. Calculate the least common multiple of (41 + -1)*26\/65 and i(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244 + 20 + 432 + 745)*(-4 - a + 4).\nAnswer: -953*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 - -118. Let i(d) be the second derivative of 0 - 1\/30*d**f - d + 1\/45*d**6 - 1\/9*d**4 + 0*d**2 + 0*d**3. Factor i(q).\nAnswer: 2*q**2*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1 (b) 6 (c) 298 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 183*y**4 + 264 wrt y?\nAnswer: 732*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -6*p - p. Let d(c) = 2*c**2 - 2*c - 3. Give d(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5*y)*(-1 - 1 + 0)*(1 - 2 - 5 + 1).\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d3 (base 16) to base 3.\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 26. Let b(m) = -m - 3. Let n(c) = 4*b(c) - d(c). Let j be n(-9). What is the highest common divisor of 238 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -9*j + 221. Calculate the greatest common factor of 39 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 158 (b) -1\/4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3288 and 7398.\nAnswer: 29592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 14*l**2 - 27*l + 39. Let u be g(12). Solve -4*h + 2*p = 4, -p + 2 = u*h - 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44697, -92309, -139921, -187533, -235145?\nAnswer: -282757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3265584 by -6.\nAnswer: 544264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 13*u - 4. Let a be n(-5). Let q = -203 - -142. Let v = q - -70. What is the highest common divisor of v and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*d**3*p + 100*d**3*x - 2*d**3 - d*p*x - d*x with respect to x.\nAnswer: 100*d**3 - d*p - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 485.0146t?\nAnswer: 485014600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 385031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.3 and 121?\nAnswer: 762.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 106. Solve -3*b = 2*b + 5*t + 5, 3*b - i*t = 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*7\/49\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3233, 6740, 10151, 13418, 16493, 19328, 21875, 24086?\n\"Answer: -8*m**3 + 3563*m - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(9\/(-6) + 3). Suppose 5*p = r + 8. What is the closest to 0 in -0.4, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.4054ml in litres?\nAnswer: 0.7654054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 + 148 = 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651664979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/120 + r**5\/30 - r**4\/24 + 2*r**3 + 8*r**2. What is the units digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - v = -5*v + 4, -5 = 3*u - 5*v. Suppose u = -0*s - 4*s + 3*b + 3244, b = 2*s - 1622. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 2*j - 3, -2*j - 3 = -3*g - 5*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (1 + sqrt(200)))*4*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43631358 - 29642274. Suppose -t = v + 2449081 - u, -2*v + 3*t + 23079991 = 0. Round v to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28441 + 3690 = -4*a + 47657. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6 - 9. Suppose 0 = g*p + 2*o, -3*p - 2*p = 3*o. Suppose -5*i + 5 + 5 = p. Solve i*x - 18 = 2*z - x, -35 = 5*z - 5*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -267, -599, -1053, -1623?\nAnswer: -2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 109048?\nAnswer: 3598584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852*u**2 - 424*u**2 - 430*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-58) + (-944)\/(-96) + -11\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (-1 - (2 + -5)). Suppose 1 + 7 = y*s - 2*n, 3*n = 0. Is (131\/s)\/((-8)\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2*w - w**3 + (-3*w**2 + w**2 + 0*w**2)*(3 - 3 - 2*w) - 1 + 1 - 2*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -9a?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 267, 522, 777?\n\"Answer: 255*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 8*u**3 - 10 - 19*u - 9*u**2 - 1\/4*u**4. Let n be w(23). What is the greatest common factor of n and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8943105076.\nAnswer: 2, 193, 11584333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9952213.\nAnswer: 9952213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v - 15. Determine s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 6:44 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153212 is divided by 7659.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-50))\/(4*(-6)\/120)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w + 2*p - 5*p, -5*p = -15. Suppose -w*x + 0 + 9 = 0. Let g(z) = 182 - x*z - 182. Give g(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x + 1 - 3*x**3 + 15\/2*x**2. Find the second derivative of v(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*j + 2*j. Let g be (j - -2)\/1*1. Suppose g = 5*p - 52 - 33. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3092419 and 70\/186507?\nAnswer: 1475083863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799749974 to the nearest integer?\nAnswer: 28280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:06 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h**2 + h - 8. Let i be f(-9). Suppose 4 = 2*w + 2, 0 = 2*c + 5*w + 355. Let y = i + c. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 - 210206*l**2\/3 - 14336060*l.\nAnswer: -2*l*(l + 205)*(l + 104898)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*d, 1642 = 4*x + d. Suppose -x - 66 = -2*r + 3*t, -4*t = r - 227. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g**3 + 4*g**2 - 3*g + 14. What are the prime factors of k(-5)?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 22 = 4*m, 22*m - 26*m - 28 = -4*f. Sort -3, -9, -1, m in increasing order.\nAnswer: -9, m, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 102, 202, 344, 534?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20610 (b) 1 (c) 0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4070 + 2039 + 3*g + 2050.\nAnswer: 3*g + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*o + 30, 0*c = 5*o - 4*c - 42. Let h be ((-4)\/o)\/(2\/6). Let b be -2 - 14*(h + 1). Solve 0 = x + 2*x - b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/4 - 2*u**3 - 5*u**2\/2 + 9*u + 19. What is m(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -33. Suppose 4*u + 65 = z. Let o = u - -9. Is -4 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -822a5?\nAnswer: 822aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q - 31. Give z(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from hhhhhhhbhhbbbb.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 921444 and 12.\nAnswer: 921444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122112 (base 3) in base 13?\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 68*m.\nAnswer: 4*m*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*-5*(-2431)\/(-121550)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**7\/1155 + z**6\/165 + 2*z**5\/165 - 4*z**2 - 1. Let d(i) be the second derivative of x(i). Let d(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 2*v)*(-3*v + 3*v - 2*v) - v**2 + v**2 - 2*v**2 - v**2 + 0*v**2 + 6*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51535, 103052, 154571, 206092, 257615, 309140?\nAnswer: 360667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -251 - -3261\/13. Let m(p) = -3*p**3 - 24*p**2 + 5. Let z be m(-8). Let c = -8 + 3. What is the biggest value in z, c, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from ccdcdddcjdd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 185\/148 - (-11)\/4. Let g(d) be the second derivative of 6*d + 0 + 9\/2*d**2 - 1\/6*d**z + 0*d**3. Differentiate g(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4*y - 2. Suppose -9 + 10 = -p. Let i be (p - -9) + -4 + 1. Give j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - 234\/(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 451789\/60 - 7530. Let a = p - -329\/1140. What is the nearest to -2\/3 in 1, -0.03, a?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -6859\/80*d**5 + 62 - 19\/2*d**3 + 361\/8*d**4 + d**2 + 2*d. Let c(u) = 0. What is u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1541\/3 + -514. Let r = 3 - 2. What is the closest to g in r, 17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-20) + ((-22)\/(-10))\/1. Suppose -3*b + 3*r = 213, -5*r + 1 = l*b + 171. Which is smaller: b or -74?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 6284, 1, -0.4.\nAnswer: -0.4, 1, 23, 6284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 3)\/((-3)\/132). Suppose -4*v - 2*w + 33 = -v, 4*w + d = 4*v. What is the least common multiple of 2 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-48)*-1*(-480)\/448.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293146900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 385758059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than 22\/48967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8825849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + y - 11 = 0, -6*z + 7 = 2*y - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/1 + (-88)\/(-12). Let u be (-6129998 - 1) + -8 + y. What is u rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139154 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/18)\/(1\/18). Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -1436, -2842, -4716, -7070, -9916?\nAnswer: -13266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 + 69 - 182)*(-i**3 - 2*i**3 + 2*i**3).\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 greater than 796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27865876, 55731753, 83597630, 111463507, 139329384?\nAnswer: 167195261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 19. Let u = o - -18.0000308. Round u to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*-3 + sqrt(104))\/(sqrt(16)\/(sqrt(4)\/sqrt(2))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-121)\/(-44))*1\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6369138 and 107496?\nAnswer: 25476552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 5*k + 14, -4*w + 2 = -k - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = c, 16525*c - 16526*c = -q + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 21. List the prime factors of y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc2 - -41?\nAnswer: -b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -5. Let a be 34\/n - (-2)\/9. Suppose -u = -a*b - 32, 3*u - 72 = -0*u + 4*b. Solve -p = 3*p - u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 11. Suppose -5*r + 2*r = -o*u - 46, -2*r + 4*u + 28 = 0. Suppose 2*y + 5*m - 3 = r, 5 = 5*m. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7*i = 5 + 5 + 5, -28*i + 72 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1642044 (base 8) to base 11\nAnswer: -2a5856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-50*3*13400. What is l rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*a - 155*a = 2*o - 86523, -4*a = o - 43249. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 23, 49, 85?\n\"Answer: 5*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 867019 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*r - 184, r = -j - 3*r + 72. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**3 - 3*w - 9. Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*r + 42 - 69 = 0, m + 4*r - 21 = 0. Let c(w) = -w**2 + 2*w + 5. Let h be c(3). What is the nearest to -1 in -1, h, m, 4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*q - 84*q + 162. What is the least common multiple of q and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -11 - 21*i**2 - 1\/10*i**5 - i + 1\/6*i**4 + 0*i**3. Differentiate x(g) wrt g.\nAnswer: -6*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -35. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/33 + 2\/(-3). Let h be (-2 + -8)\/(6\/(-12)). Suppose h = -6*u + 10*u. Solve u*l + 2*x - 18 = -0*x, -5*l = -r*x - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 8) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 355 - 344. Suppose -270 = -41*h + j*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dadr when four letters picked without replacement from addmrmdmsrd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24980261 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkqk when four letters picked without replacement from {q: 1, a: 4, k: 9}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6893445.\nAnswer: 3, 5, 13, 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -12. What is the second biggest value in 0.9, d, -4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16051426 or -16051387?\nAnswer: -16051387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115941300 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -16 + -13 - (11 + -104)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 2*t + 0*t**4 + 2*t**4 + (-2*t**2 + 0*t**2 + 3*t**2)*(2*t**2 + 4*t - 4*t).\nAnswer: 4*t**4 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 327 + 330 = c, -5*b = 4*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 - 3*h**2 - h + 1. What is the tens digit of v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1888606*f**2*r + 383528529*f**2 + 7*f*r**2 wrt r?\nAnswer: 1888606*f**2 + 14*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 251*v + 4266. Calculate w(24).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*b = -2, m - 30 = -4*b - 4. Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/20 + k**3\/6 + 5*k**2\/2 + k. Let t = -2 + 2. Let j be s(t). Solve -4*u = j*b - 21, -28 = -5*b + u + 2*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*43)\/(35\/(455\/52))*2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 4:08 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + a**4 + 2 + a**2 - 5*a - 5*a**4 + 2*a**4 + 2*a**3 as o + y*a + l*a**4 + c*a**2 + p*a**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -7. Solve -3*f - 11 = 4*c, 2*c + 2*c + 21 = -u*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.52 + -0.22. Let x = -155\/2 + 78. Let v = 3.1 - 3. Sort u, v, x, -5.\nAnswer: -5, v, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g + 5. Let p be v(2). Sort 0, 5, -4, p in ascending order.\nAnswer: -4, p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115*108\/(-8694)*(-5)\/(-25).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 10. Suppose 4*a + 15 = -5*c, -2*a + 4*c + 11 = -5*a. What is the units digit of l(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.21 - -0.21. Let j be 2\/5 + 6 + (-268)\/20. What is the third smallest value in 0.5, j, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5061599 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: Calculate -31980 divided by -6.\nAnswer: 5330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4882421 is divided by 1021.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 3*m**2 - 3*m - 2. Suppose 0 = -5*n - 5*s + 10, 5*n - 7*s + 6*s = 16. Suppose n*g + 4*w = 12, -4*g = w + 4*w - 16. Determine l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 45*w + 124. Let f(o) = -89*o - 248. Let v(x) = 3*f(x) + 5*n(x). What is the units digit of v(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29200?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhm when three letters picked without replacement from {q: 1, h: 1, i: 2, x: 1, z: 1, m: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 2.1 (b) -0.12 (c) -0.05 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -4*g - 10. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5832714 + 0.5838. Round j to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53039*y + 53038*y - 16 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Let x(l) = -2*l - 3. Let y(u) = -6*x(u) + 13*z(u). Let g be y(2). Suppose -2*a - w = -233, -2*w = g*a - 0*w - 351. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1411544 * 4\nAnswer: 5646176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80))**2 + sqrt(80) + sqrt(5)*2*-5.\nAnswer: -14*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4666, -8832, -12998?\n\"Answer: -4166*o - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -81, -203, -429, -795?\n\"Answer: -6*n**3 + 2*n**2 - 18*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3112 and -81\/7780?\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5868.14kg to nanograms.\nAnswer: 5868140000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 199*o**2 - 97*o + 3083. Give k(66).\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/30 + 2\/(-10). What is the closest to p in 0.07, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*y**3 + 15179957*y + 62527514 wrt y.\nAnswer: -9*y**2 + 15179957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1\/6, -682, -0.5, 2, 0.088 in descending order.\nAnswer: 2, 1\/6, 0.088, -0.5, -8, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48828433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -83*w - 16526. What is f(-202)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/3 - 46*d**2\/3 + 2253*d + 2268 = 0.\nAnswer: -108, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, q: 2, j: 5, p: 4, c: 2, n: 4}. Give prob of picking 1 p, 1 n, and 1 b.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 15714 = -g - 15691, 5*g - 2*k + 95 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7773 * 0.05.\nAnswer: -388.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 3*o + 2*o**4 + (-o**2 - 2*o**2 + 5*o**2)*(-35*o**2 - 2*o**2 - 7*o**2) - 5 + o**4 + 5 to y*o + s*o**2 + p*o**4 + t*o**3 + f and give p.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7592*i - 416. Let p(c) = 723*c + 40. Let y(r) = 5*l(r) + 52*p(r). Let z(h) = -h. Give z(y(b)).\nAnswer: 364*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccrz when four letters picked without replacement from {o: 3, z: 1, r: 1, c: 2, f: 3}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 7*n - 5*n + n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -221130 + 8?\nAnswer: -221124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -2*f**2 - 29*f + 4 + 10*f - 2*f**2 - 8. Let v be d(-5). Solve 5*t + 2*m - v = 0, t + 5 = -4*m - m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 157*r + 467. Let v be c(-3). Let g(f) = 2*f**3 + 13*f**2 - 11*f - 11. Let d(h) = -h**3 - 7*h**2 + 6*h + 6. Let u(b) = 5*d(b) + 3*g(b). What is u(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 477817040 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/8, 3.\nAnswer: -3, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 11. Let h(n) = -6*n + 67. Let s(b) = -6*h(b) - 39*m(b). Let p be s(9). Suppose 2*w - w - 40 = p. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2287 = -q - 2276, -5*q = 3*u - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 74 times 0.003\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-469)\/35*-5 - -5 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2128*l**3 + 2*l**4 + 2026*l**3 + 5*l**4)*(-4*l + l + 5*l).\nAnswer: 14*l**5 - 204*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 53*y + 53*y)*(2 - 2 + 2*y)*(3 - 2 + 4).\nAnswer: 30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.1 + -63.1. Let h = 105 - 154. Let l = h - j. Is -9\/2 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405568 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28283177.\nAnswer: 13, 2175629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 2792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 0*m + m**2)*(-2 + 2 - 2*m) + m**3 + 3*m**3 - 3*m**3 + 10709*m + 98 - 10709*m - 2*m**3 to l*m**3 + p*m + z*m**2 + v and give v.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17434490 to the power of 1\/2, to the nearest integer?\nAnswer: 4175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 7779111*i**2\/2 - 3782159524506*i - 1891080734642.\nAnswer: -(i - 1944778)**2*(2*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -160, -2917 in ascending order.\nAnswer: -2917, -160, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10235321 (base 6) to base 14\nAnswer: -7b77b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**3 - b**2 + 16*b + 38. Let s be v(-2). Solve 5*z = -l - 25 + s, -4*z = -5*l - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 4*t**2 - 3*t**2 - 30*t + 4*t**2 to the form f*t + h + b*t**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 259*p - 12607. Let k be d(-65). Find b such that 210*b**2 + 0 - 45\/2*b**4 + 180*b + 5*b**k + 5\/2*b**5 = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -978395 by 5.\nAnswer: -195679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 8*b + 9. Let k be v(7). Let z(x) = -x**2 - 6*x - 3*x - 3 + 0*x**2 - 6. Let r be z(-7). Solve 1 + r = k*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipvi when four letters picked without replacement from wppvvippipwpwvp.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a, 0 = -z + 5*a + 5. Let w = 10 - z. Is w\/30 + (-226)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {v: 1, r: 2, h: 1, c: 2, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 9:08 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4455 + 21*m + 4455.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32214 and 8673.\nAnswer: 225498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, k: 6, m: 2, u: 6}. Give prob of sequence yu.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9732 - 5370 - 4918 - k.\nAnswer: -k - 556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 19*a - 5417556 = 0. Let t = a + 32926. What is t rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691, -1927, -5285, -11827, -22615, -38711, -61177, -91075?\nAnswer: -129467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -720*v. Let c(n) = 2*n. What is z(c(l))?\nAnswer: -1440*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 14 + 1 - 18*s + 14*s + 1 - 3*s**3.\nAnswer: -3*s**3 - 4*s - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 0, 16, 40, 72?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -3*v + 513. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**2 + 19*p - 5. Let q(x) = 13*x**2 - 36*x + 10. Let n(w) = -7*i(w) - 4*q(w). Let d be n(2). Put d, 1\/7, 29 in descending order.\nAnswer: 29, d, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -5*q + 34, 0 = -q - 3*x. Let s be -3 + (-16)\/((-20)\/5). Let l = 22 - s. What is the remainder when l is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*d - 1080 + 82 - 97 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4665*t + 4701*t = -252. Which is the third smallest value? (a) t (b) 1\/4 (c) 0.1 (d) -0.15 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34286056 a multiple of 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 124.4624.\nAnswer: -125.4624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 137 + (-35 + -10 + 23 - -9) + 7\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 11, -5, 3\/83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) -15 (c) -2\/7 (d) 3\/53 (e) 476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfniniiiniffi. What is prob of picking 1 w and 3 f?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 14. Let q be x(7). Suppose 2*j = -3*h + 124, -4*j + 4*h = -q*j - 228. Let d = j - -25. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 114*n**3 + 1.\nAnswer: -114*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4*j)*(-2 + 1 + 0)*(-113*j - 68*j + 107*j)*(-1 + 8 + 4).\nAnswer: -3256*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3\/18 - (-6045)\/(-117))*(-1)\/6.\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfoqafommxfxqqffxf. Give prob of sequence xax.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 31*l + 9012. Suppose 2295 + l = 6*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 1919*m**2 + 416*m**2 - 77*m**2 - 2*m as v*m + u*m**2 + i and give u.\nAnswer: -1580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three fifths of a century?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(h**4 + h**2 - h**2) - 4*h**4 - h**4 + 4*h**4 + 2*h**4 + 3 - 3 - 23*h + 36*h - 36*h - 10*h**4.\nAnswer: -11*h**4 - 23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 5*g**4\/4 - 2000*g**3\/3 - 4030*g**2 - 8080*g + 3785. Factor y(m).\nAnswer: 5*(m - 404)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 3*t**5 - t**3 + (-18*t**5 + 4*t**5 - 5*t**5)*(-2 - 3 + 7).\nAnswer: -41*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r + 7*r + 5*r + 25*r**2 - 18*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -16, -j - 6 = -0*j + f. Let t = 6 - j. Suppose 4*q - 8 = t. Solve -5*s = 2*d - 8, -d - 4*d + 20 = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by (-2 - ((-8)\/(-3))\/1)*-3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*t + 320 = -j, 332 = -4*j - 4*t. Let x = -953 - -1059. Let a = x + j. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 95 + 32 + 1466*d**3 + 35 + 1142*d**3 - 4*d**2.\nAnswer: 2608*d**3 - 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103156\/(-1517)*(-1)\/(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204269, 408538, 612807?\nAnswer: 817076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((4\/145)\/4). Let r = h + -304. Solve -3*y - r + 140 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 5306836?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241 + 311*y - 158*y - 146*y.\nAnswer: 7*y + 241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 0*a**4 + 1 + 0*a + 13\/5*a**5 + 0*a**2 - 5\/3*a**3. What is the third derivative of p(l) wrt l?\nAnswer: 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220206 + 3623?\nAnswer: -213253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + -36 + 36 - -7 - (92 - 1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*w - 29*w - 3085 + 2999 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13)*2 - -5*sqrt(65)\/sqrt(5)) + (sqrt(13) + sqrt(117) + sqrt(117) + sqrt(117)*-2 - sqrt(65)\/(sqrt(5) + sqrt(80) + sqrt(5))).\nAnswer: 2 + 47*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4943 is divided by 2461.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 19\/6?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11097, -22039, -32827, -43461, -53941?\n\"Answer: 77*k**2 - 11173*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 51, 64, 77, 90?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217.32674 + -0.316145.\nAnswer: -217.642885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g + 11. Let j(v) = 2*v - 3. Give -h(n) + 6*j(n).\nAnswer: -3*n - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - (9 + 1). Suppose 2 + 0 = -h - 2*n, -n - 19 = -4*h. Let a = h - v. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:17 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10007 + 116. What is the highest common divisor of b and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9098 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 139*b**3 + b**2 - 185*b + 709. Let o be w(4). What is the greatest common factor of 332 and o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -71. Let y be t\/5*(3\/2)\/3. What is the nearest to 0.3 in y, -1, 5\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 7\/3*j**2 - 4\/3*j**5 + 0 + 2\/3*j - 8\/3*j**4 + j**3 = 0?\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-5\/6)\/y))*y*y)\/y**(-2\/41)*y**(-3\/13)*y**(-22) assuming y is positive.\nAnswer: y**(-70405\/3198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 3\/5*n**5 + 0*n**3 + 0*n**2 - 4*n + 3 + 0*n**4. Differentiate v(p) wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7061, 1 in decreasing order.\nAnswer: 1, -1, -7061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k**4 + 14*k**2 - 6*k**2 - 12*k**2 + (-2*k**2 + 3*k - 3*k)*(13*k**2 - 39*k**2 + 6*k**2) as x + m*k + b*k**2 + n*k**4 + f*k**3 and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*j**4 - 6*j**3 - 22*j**4 - 1 + 51*j**4 - 20*j to a + s*j**2 + r*j**4 + z*j + g*j**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 3*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 207172373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144175558 to the power of 1\/2, to the nearest integer?\nAnswer: 12007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 145.212. Let r = 0.212 - i. Which is the third smallest value? (a) -2 (b) 14 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 5*l + u, 15 = -l + 2*l - 5*u. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29 - (-70 - -32))*(46\/30 + -1). Which is smaller: 183 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-4084)\/(-30) - (92\/15 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(4\/(-18) + 80\/765). Suppose -r = -12*k + 753. List the prime factors of k.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*l + 72435, 14*l - 15*l + 14504 = 3*z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -147163?\nAnswer: 147159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, -193, -425, -749, -1165?\n\"Answer: -46*s**2 - 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -30*a + 89. Let f be h(3). Let p = 17 + -20. Put p, -4, f in decreasing order.\nAnswer: f, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51908888 to the nearest integer?\nAnswer: 7205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 1. Suppose 178 = -5*f - 3*d, 2*d + 0*d + 72 = -2*f. Let s = f + 36. Determine l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0124641301 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -920*l. Let t(j) = 7760*j + 3. Give t(h(c)).\nAnswer: -7139200*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 3*s - 2, -3*s + 3 = 3*l. Let r(k) = 3*k + l*k + 0*k + 3*k. Let o(v) = v. Give o(r(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 8*t**2 + 4*t**2)*(-7 + 8 - 54)*(-2 + 3 - 4) to d + b*t + i*t**2 and give i.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((-329)\/(-15))\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 851 divide 1050192800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 20 + 4 = -5*x, 0 = 5*x + 4*s - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*k**2 + 90*k**2 - 4*k + k wrt k?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -91*h**2 + 77*h. Let s be (-9)\/(-9) - (-1 - 4). Let k(d) = -7*d**2 + 6*d. Determine s*f(v) - 77*k(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1792, -7152, -16088, -28600, -44688?\nAnswer: -64352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002101 (base 3) in base 5?\nAnswer: 33001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 1. Let r(g) = -6*g**2 - 6. Let v = 33 + -23. Let z(y) = v*h(y) + 2*r(y). What is the first derivative of z(x) wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794487 smaller than 2794487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2 + 150412*s**2 + 14.\nAnswer: 150412*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011235 to six dps.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - i + 78 - 10*i.\nAnswer: -3*i + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1395 and 18972.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66.00153 + -66. Round s to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + -10 + 44 - (1 + 3 + -78)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-160))\/(-2 + (-35)\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -2. Let q(t) = 6*t + 1. Let z(u) = -3*u + 1. Let b(h) = 5*h - 1. Let o(n) = -4*b(n) - 5*z(n). Determine v*q(d) - 5*o(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 0*r**3 + 4*r**3 + (r - 7*r + r)*(-2*r**2 + r - r) as o*r**3 + d*r**2 + k*r + c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:20 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*16\/((-224)\/70).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17610461.\nAnswer: 11, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21464616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/7 - 33785*z**3\/7 + 189101937*z**2\/7 - 350965939967*z\/7 - 175530249691\/7 = 0?\nAnswer: -1\/2, 5197, 6499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 - -118. Suppose i = -73 - 1. Let x = i - n. What is the greatest common divisor of 34 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -294404*r. Let f(j) = -102*j. Determine f(m(l)).\nAnswer: 30029208*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. Let b = 2 + f. Let p = -5 + 3. Put -1\/2, b, p in descending order.\nAnswer: b, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010979 rounded to 6 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 6. Suppose l*h + 0*h - 2 = 0. Sort -2, h, 3 in ascending order.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21579, 21578, 21577?\n\"Answer: -b + 21580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = -5*r - 0*r, -3*m - 2*r + 8 = 0. What is the third derivative of 3*t**2 - 3*t**m + t**2 + 4*t**5 - 2*t**2 wrt t?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247219, -248000, -248781, -249562?\nAnswer: -250343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.066.\nAnswer: 4.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 374973.31 times 0.4?\nAnswer: 149989.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(4 + -3) + 0. Let h(k) = 0*k + k + k - 2*k**2 + 0*k**2. Let t(c) = -c**3 - 3*c**2 + 3*c. Calculate n*h(y) + 2*t(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 746.4 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**40\/(p**2*p*(p*p\/(p**(1\/4)*p))\/p) assuming p is positive.\nAnswer: p**(-171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 u when three letters picked without replacement from ujjjjhuhjjhj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z**2 + 139*z - 36. Calculate the remainder when h(16) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.39? (a) 0 (b) 0.5 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.2 (c) -3\/5 (d) -0.1 (e) 1.5 (f) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -79301670 divided by 5\nAnswer: -15860334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0041218 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -3, 4, 1 in increasing order.\nAnswer: -36, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306179806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0509956 + 5.83\nAnswer: 5.7790044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {f: 1, l: 3, e: 6, r: 2, q: 4, x: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 103*z**2 + 3*z + 3. Let l be p(-1). Let o = l - 101. Solve -h - 1 = o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/39 + -49\/117. Which is the smallest value? (a) z (b) 9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 - 7*x + 4. Let j be o(-7). Suppose j*t = t + 21. Suppose t*b = 12*b. Solve b = -c - 4 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4769 - 4770. Let q = 11 - 45\/4. What is the second biggest value in f, q, 4, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(396) - sqrt(396))**2 + sqrt(396) + -3)*5 + -5.\nAnswer: 30*sqrt(11) + 7875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50313, 201227, 452743, 804867, 1257605, 1810963, 2464947?\nAnswer: 3219563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 36112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1614 + -1609. Sort -1, -2, -9, t in decreasing order.\nAnswer: t, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -1 (c) 1\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**8\/10080 - l**7\/1890 - 13*l**4\/24 + 6*l**2. Let q(b) be the second derivative of p(b). Factor q(w).\nAnswer: -2*w**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h. Let w(o) = 6*o - 3. Give y(w(u)).\nAnswer: 102*u - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-54)\/72)\/((-6)\/88) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 + (6\/(-40))\/(69\/(-115)).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 24129?\nAnswer: -4\/3447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-63))\/(4\/14). Sort w, 0, 1, -16 in decreasing order.\nAnswer: 1, 0, w, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40987648 and 3744.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigeeei. Give prob of sequence egi.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 3.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-196)\/60 - (-150)\/45. Which is the second smallest value? (a) -2\/3 (b) -0.7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 95*p**3 + 61*p - 61. Determine a(1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(176) - (sqrt(1100) + sqrt(1100) + -1)**2) + (1 + sqrt(99) + 1)**2.\nAnswer: -4298 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 7*h - 3. Let l be t(-6). Suppose 2*d - 28 = -5*r, -4*r + 3*d - l = -5*r. Factor -3*v**2 - 5 + r*v + v**2 + 0*v**2 + 1.\nAnswer: -2*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*r + r**3 - 3*r**3 + 14 - r to the form i*r**2 + a + v*r**3 + d*r and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62.8 - 63. Let t = -5 + 8. Let q = 0.247 + 1.753. Which is the closest to s? (a) t (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 16*r + 20. Let a be g(-20). Suppose 267 = 3*d - 5*c + a, 5*d - 273 = 3*c. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1 + 5 + 4*q - 2*q**3 - 2*q. Let x(n) = 3*n**3 - 3*n - 7. Let o(y) = y**3 + 5*y**2 - 12*y + 11. Let g be o(-7). What is g*x(b) - 5*z(b)?\nAnswer: b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6164699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47487.\nAnswer: 3, 11, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -2*y + 2*c, 5*c + 349 = y + 2*y. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Solve 0 = -f + 2*k, -s*f = 3*k - 22 - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**3*w)*w**(-1\/8)\/w*w*w**(-2\/9)*w*w**(4\/3) assuming w is positive.\nAnswer: w**(-73\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -99192*v. Let x(q) = q. Give x(a(f)).\nAnswer: -99192*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 83.6719*0.18\nAnswer: 15.060942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 367 and 1327439?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/9 equal to -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.111 + -63.889. Let z = w - -63.9. Let s = 0.4 + -2.4. Sort z, s, 1\/7.\nAnswer: s, z, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -5*u + 3*x, -x + 5*x + 156 = 2*u. Suppose -5*t + 18 = u. Let i = t - -22. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + 7 + 0 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365 + x - 363 - 346 + 1074.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + 17\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -672084*d**5 + d**3*k - 1698*d**2*k + 2231*k wrt d.\nAnswer: -40325040*d**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + 14)*26\/1*1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 - 143 - (20 + -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -14. Determine v so that -4*v**5 + 12*v**b - 4*v**2 + 4*v - 4*v**4 - 4*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585.4 rounded to the nearest ten?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - n = -3*n + 1780, -4*q - n + 1786 = 0. Calculate the greatest common divisor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/67)\/x*x)\/x*x*x**(-1))**37 assuming x is positive.\nAnswer: x**(-2553\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79408772, -79408773, -79408774, -79408775?\nAnswer: -79408776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 36\/5 (b) -0.4 (c) 39 (d) 23\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4438*u = 3385*u + 28431 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-3*6 - (sqrt(832) + sqrt(832) + 2 + -1 - sqrt(832)))*-5*2)**2 + -2.\nAnswer: 30400*sqrt(13) + 30035298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t**(-4\/3)\/t)\/t)\/t)\/(t\/(((t*(t\/(t*t**9)*t*t)\/t)\/t)\/t)))**(-41) assuming t is positive.\nAnswer: t**(1640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4036.6 at least -0.043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let r(t) = 3*t**2 + 41440*t - 8. Determine u(r(s)).\nAnswer: 12*s**2 + 165760*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1238.2504 - 0.2504. Let h = 1238.557 - o. Let c = h - 0.6001. What is c rounded to three dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 4*i + 4. Let p be f(-5). Suppose -5*k = -4*z - z + 15, -7 = -z + 5*k. Let w(u) = u**z - 46 - 4*u**3 + 0*u**2 - u + 45. Determine w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12477065 (base 8) to base 9.\nAnswer: -5214045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 4. Let z(b) = -b + 1. Let s(p) = l(p) - 4*z(p). Let u(v) = 11*v + 5*v**2 + 136 - 11*v - 127. Determine s(u(k)).\nAnswer: 10*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 1140.\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 3*c**2 - 17*c**3 - 17*c**3 - 2 + 33*c**3. Calculate d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*p = -i - 517*p + 2, -50*p = 4*i - 66 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/5))**(1\/32)\/((u*u**8)\/u**(2\/17)) assuming u is positive.\nAnswer: u**(-6057\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -10. Let y = 12 - s. What is the nearest to 0 in y, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aamammmaamamssa. What is prob of sequence aasm?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 14*n - 22. Let d be j(-12). Suppose -127 = -d*b + 23. Let v = b + -56. Calculate the highest common divisor of 133 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 3*g + 78, -5*z + 2*g - 235 + 368 = 204 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1cc4cb + 48?\nAnswer: 1cc546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 9*l**2 + 652. Let f(b) be the first derivative of 2*b**3\/3 - 3. What is z(f(w))?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (153\/(-12))\/((-1)\/4) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000535 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*f - 253*f - 385*f - 1577*f.\nAnswer: -2349*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 less than or equal to 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14229 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188785 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 14*v**2 + 16*v - 21. Let b be q(15). Let k(a) = a**2 + 5*a - 7. Let y be k(b). Let h(c) = -71*c - 3. What is the tens digit of h(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(2\/5)*z*z)\/z*(z**(3\/8)*z)\/z)**(-3\/7) assuming z is positive.\nAnswer: z**(-453\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 73 = 5*u. Suppose 3*q = -2 + u. Suppose q*k - 74 + 9 = 0. What is the greatest common factor of 143 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-52 - -2) + (388 - 416)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/55 + (-108)\/(-99). Sort 0, -223, -0.07, y in ascending order.\nAnswer: -223, -0.07, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*((-266)\/(-56))\/(-19)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243432 divided by 1176.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3 (c) -628\/12885\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o. Let i(p) = -18*p**2 - 42*p + 224. Let z(w) = 5*w**2 + 12*w - 75. Let v(a) = 2*i(a) + 7*z(a). Give v(t(n)).\nAnswer: -100*n**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1454916770 and 5212.\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*p - 5*r, -3*p = -2*r + 10 - 22. Let y = 0 + 0. Suppose -p*a - 2123 + 9415 = y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 17, i: 1}. What is prob of sequence qq?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199200196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 7 (c) 1 (d) -0.04559 (e) 0 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0451 and -8.\nAnswer: 0.3608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8*(-20)\/150)\/(5\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 943 and 218247?\nAnswer: 8948127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/29 - 21\/116. Which is the nearest to q? (a) -0.064 (b) -2\/9 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 8:00 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*x + 2*d, 51*d - 94*d - 33 = 11*x - 42*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2725 + -175604?\nAnswer: -200531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219109.2 millimeters to centimeters.\nAnswer: 21910.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*1 - sqrt(190))\/sqrt(5))\/(-1*sqrt(2)*-5) - (5 + sqrt(171) + (1*sqrt(152))\/sqrt(8) + -5).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 773456667*n**2*s**2 + 2750559*n*s**2 + 4*n*s - 4*s**2 - s + 1 wrt n.\nAnswer: 1546913334*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.6 (b) 0.3 (c) 2\/1077\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10528487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 7 = -5*d + 9, -3*d = 2*v - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -85, 122, 525, 1190?\nAnswer: 2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14292)\/432 - -27 - (-6)\/18*-2.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1810.1 + -1810.2. Sort -3\/8, 225, 1\/6, 0, x in decreasing order.\nAnswer: 225, 1\/6, 0, x, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16126899721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.7 and 8158.\nAnswer: -46500.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, y: 1, t: 1, a: 1, q: 2}. Give prob of sequence yt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, o: 7}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 44881b?\nAnswer: 448826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -12*h. Suppose 5*c - 7*c - 14 = h. Let n = c - -6. Sort -5, n, 2\/7 in decreasing order.\nAnswer: 2\/7, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 9. Let l = 8 + d. Let y = -1 + l. Sort y, 0, -3.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3310c0 (base 15) to base 10\nAnswer: 2433555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 148550*s - 1337007. Calculate m(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 282 = 3*w - 238, 3*p = 5*w - 863. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2426 (base 10) in base 6?\nAnswer: -15122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (3 - (-9)\/(-3)). Suppose -h*y + 110 = 5*c, -y - 3*y = -2*c + 44. Calculate the least common multiple of c and 20 + 0 + (-2)\/(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8913698?\nAnswer: 2, 19, 234571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 5*p. Let i(l) = -6*l**2 + 14*l. Calculate -11*h(a) - 4*i(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(3\/(-1)) + 10. Let x = i - 4. Suppose -x = -y + 6. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.3, -2\/81?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 57. Let u be v(0). Let a = u - 19. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 - 17*f**2 + 15*f**2 + 3*f**3 + 3*f**2 + 124 + 0*f**2 in the form j*f**3 + h*f**2 + d*f + r and give r.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(((-2)\/(-18))\/(-1)). Suppose 3 = -3*j + a. Solve 3*o + j*o + 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/(2\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-639*w**2 - 2171*w**2 + 92*w**2)*(3*w - 2*w + 0*w)*(-3 + 4 - 2).\nAnswer: 2718*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-726)\/819 - 4\/(-6) - (-1426)\/18538\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4187 - -5777. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 92. Let k be (8\/(-12) - m)\/(4\/(-30)). Sort -117, k, 4 in descending order.\nAnswer: k, 4, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4047 divided by 71\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 10*f**2 - 10*f + 5. Let y be b(9). Let p be 3 - y\/8*-50. Let q = 29 + p. What is the highest common divisor of 28 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 3 + 4*g - 3*g - 2*g. Is 3 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, y: 5, u: 3, r: 1}. Give prob of sequence ruu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppphmmpphmhkhp. What is prob of picking 1 p and 1 m?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425 = -5*r + 13*t, 3*r = -3*t - 296 + 95 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - (-16 + 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 13*s + 6. Let w be a(12). Let k(g) = -g**3 - 6*g**2 + 4. Calculate the remainder when 10 is divided by k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*i + 717*i - 486*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 12) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*s - 21*s - 24. Suppose -s*q - 2 + 5 = 0. Solve c + 2 = 2*z, 4*z - 3*c = q + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1582 + 17416\/11. Find the common denominator of c and 3\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -292 + 575. What are the prime factors of b?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 16 = 26. Suppose w = -2*s, 10*s - 13*s - 367 = -j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.019? (a) -0.3 (b) 5\/4 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 8:43 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4572 is divided by 130?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 2*z**3 - 15*z**2 - 4*z + 20.\nAnswer: (z - 5)*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -17560 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*f = 2, -5*c + 4*f = -4 + 9. Let d(l) = 253*l**3 - l**2. Let n be d(c). Is 2\/(-5) - n\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12097 + 13132 = 23*k. Let n be 1150\/(-7) + (-2)\/(-7). Let z be 2\/(-6) + n\/(-6). Calculate the greatest common divisor of z and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 637 + 341. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 + 2 - 16)*(y + y - y).\nAnswer: 86*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280689917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/((-18)\/268))\/((-25)\/(-75)). Let u = p + 133. Let a(n) = -3*n**2 - 1. Calculate a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Let y be 2 + -1 - (1 - u). Suppose 6*h + 6 = y*h. Is -2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6416 - -23057. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*a + 630*a + 7344 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5257 = 5*q - 1052. Let x be q\/(-2) + (21\/(-6) - -3). Suppose v - 375 = -4*p - 4*v, 4*p - x = 4*v. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizzzzzzzzzi. Give prob of sequence zzzz.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11323130 (base 4) to base 10.\nAnswer: -24284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24425364 (base 7) to base 15\nAnswer: 2d4580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -l, -l + w = 2*l. Suppose -z + 2 + 7 = l. Let j = z + -5. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.9 and -270321622.486.\nAnswer: -270321626.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -183*r**2 + 13*r + 2. Let q be i(2). Let v = q - -1435. Is 93 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {t: 2, y: 1, e: 4, x: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 i when four letters picked without replacement from {i: 2, f: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 40 = 4*r. Let v(w) = w**3 - 11*w**2 + 2*w - 17. Let s be v(11). Solve 3*n - 7*n - 20 = -s*p, 0 = n - 5*p + r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 411 = -3*x + 19, 274 = 3*z + 5*x. Calculate the remainder when z is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - -4 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 12 = 2*t, t = 2*u - 14 + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2174.1966 months to decades.\nAnswer: 18.118305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2*((-4)\/(-8))\/(1\/1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let v(m) = -m - 1. Let a(f) = -12*f - 18. Let o(i) = -a(i) + 18*v(i). Give o(u(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 + 10?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(100)\/(-1*sqrt(10))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:57 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g = -11*g - 48 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54\/11, -8, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 + 0*q**3 - 1\/20*q**5 + 17*q - 5\/12*q**4 + 0*q**2. Find m such that g(m) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2 - 0. Let j be (-51)\/(-3) - -3 - o. Let s = j + -6. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) -5 (b) -1\/6 (c) 13 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/27)\/(12\/270). Suppose -k - 3*k + 8 = 0. Let c be k\/4*(-40)\/(-5). Solve -r + c*r = d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 10. Let t = 503 - 499. Give j(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 24*o - 33. Calculate w(12).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 485.1\nAnswer: -484.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*a**2 - 30\/11*a + 32\/11 = 0. Calculate a.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r + 36*r - 133246*r**2 + 132135*r**2.\nAnswer: -1111*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r. Let c(v) = 929*v**2 + 109*v. Determine i(c(o)).\nAnswer: -10219*o**2 - 1199*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:13 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (5*sqrt(76)*-2 - sqrt(76))))\/(sqrt(20)\/(2*sqrt(5)) - sqrt(4)) + 1.\nAnswer: 1 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*v + 45, 0*v - 4*k + 31 = v. Suppose w - 75 + 11 = 0. Suppose w - 21 = p. Calculate the remainder when p is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -581 divided by 1?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*r - 10*r + r)*(3*r - 1 + 1) to h*r + f*r**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4) - -1)\/((-29289)\/52 - -204)\nAnswer: -2\/479","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/22)\/((-2)\/(-8*1)). Let n be (2\/y*-1)\/(2\/(-6)). Let t = -15 - -22. Solve n*w = t*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -260*m + 1045. Give k(2).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*(-10)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 271293047600\nAnswer: 271293047600.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f**2\/4 - 687*f\/4 + 99\/2 = 0.\nAnswer: -33, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2172 divide 129014540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 182224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3 and -49\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111277 is divided by 983?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.8959 - 0.1041. What is the smallest value in -0.31, x, 1\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 2*n**7\/147 - 2*n**6\/15 + 11*n**5\/35 - 5*n**4\/21 - 26*n. Solve i(y) = 0 for y.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 + 3*u**2 + 2 - 8*u**2 - 4 + 2*u + 4*u**2. Let d(z) = 17*z**3 + 5*z**2 - 8*z + 9. Determine 2*d(l) + 9*h(l).\nAnswer: -2*l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*p**3 + 3*p**2 - p**4 - 2*p**2 - 121*p**3 - 117*p**3 + 12*p in the form w*p**2 + u*p**4 + y*p**3 + n*p + x and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*p - 31, -2*p = p + 4*s - 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvcvv. Give prob of sequence cvc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 110*y + 210. What is the thousands digit of a(-41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 + 14 + 49 + (-15 - (-6 - 4)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-9)*(-7)\/(14\/(-93)). Let q = 92 + x. Is 18 a factor of 12\/q*-46*16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 - (2 + 12)) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2697, -2709, -2721?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 114345 divided by 27\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56357\/1084656 + -19\/9192. What is the common denominator of q and -9\/14?\nAnswer: 6608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 8. What is the smallest value in x, -4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 7*i - 2. Let u be a(6). Let b be 1\/((4\/2)\/6). Suppose -9 = -3*c, -b*r - 3*c + 73 = r. What is the greatest common factor of u and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((594\/55)\/(-27))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16626 and 918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 1:31 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1891*m + 10 = -1896*m, -4*m = q + 4. Solve 16 = 4*w - q*v, -5*w + 3*v = -8 - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71.04 - 69. Let f = 0.055 + -0.015. Let t = p - f. Which is the smallest value? (a) -4 (b) t (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-2) - (-4 - 0). Let t be ((-6)\/(-20))\/(9\/24)*15. Suppose -n + 4*f = -0*n + q, t = 4*n - 2*f. Solve -3*j + o + 0*o = 4, n*j = 2*o - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 6*x**3 + 0*x**3 - 6*x + 9 - x**3 + 10*x**2. Let a(k) = k**3 - k**2 + k. Let d(c) = 6*a(c) + i(c). Find the first derivative of d(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyvy. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(((-18)\/(-8))\/3). Suppose -3*q - q + 36 = 0. Is x >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**5*s - 13*i**4*s**2 - 28*i*s**2 - 2*s**2 wrt i?\nAnswer: 100*i**3*s - 156*i**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a tonne in kilograms?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2031 - 4?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21044283?\nAnswer: 3, 13, 17, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i**2 + i**2 + i**2 + (0*i**2 + i**2 - 3*i**2)*(0 + 0 - 2).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 34. Let d be 1*4\/(-8)*0. Suppose d = 4*z - 15 - 73. Calculate the smallest common multiple of z and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -1 - (8 - 10). Let i = 3 - 3. What is the units digit of t\/(-6)*(i + -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 9*f + 8*k - 248427, -3*f - 5*k + 82809 = 0. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 17. Let g(w) = w**3 - 9*w**2 + 11*w + 8. List the prime factors of g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. Let b = -8 + 10. Let x(o) = 6 + o**3 + 4*o**b + o + 4*o**2 - 7*o**2. Determine x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/5 + 5577*r\/5 + 11134 = 0. Calculate r.\nAnswer: -5567, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(-6*2*sqrt(2) + sqrt(2)))\/(sqrt(24)\/sqrt(72) - 5*(sqrt(3) + sqrt(27))))**2.\nAnswer: 9\/38291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6 + 131*m**3 - 13*m + 142*m**3 - 275*m**3 - 6*m**2 + 14*m. What is c(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/((-3)\/(-36)). Suppose 8 - 28 = -l*m. Let q(b) = -4*b**2 + 35*b - 17. Let g be q(8). Solve -2*h = -g*h + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003449406 to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, 3\/307, -37.9 in decreasing order.\nAnswer: 130, 3\/307, -37.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138961*u**2 - 69460*u**2 - 69501*u**2 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20.3 or 5\/23?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 471.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3695657.801 rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:41 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + (-1705)\/62)*7\/((-63)\/(-6)).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/25)\/2)\/((-34)\/85)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9061 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 24*f**2 + 82*f + 38. Give j(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*v + 7*v - 4*v + 1)*((-3*v + v + 0*v)*(1 - 4 + 5) + 47*v - 2 + 2) to z*v + t + x*v**2 and give x.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 - 30.36. Let g = -348.6 - -317. Let x = g - h. Is 0.2 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -37. Let t(i) = 2*i**3 + 16*i**2 + i + 10. Let r be t(q). Solve -r*k - 2 = -2*f, 4 = 3*f - f - 3*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194922 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979148649?\nAnswer: 42701, 46349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708651 is divided by 353993.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -0.1 (b) -21039 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/5137 - -303062\/107877. Calculate the common denominator of -19\/12 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c - 5 + 3 + 2.\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - 35. Let g = k + 73. Let v be (36\/(-60))\/((-6)\/2). What is the smallest value in g, v, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjvvvpjvppvj. What is prob of sequence pj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1022, -989, -956, -923, -890?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from bbmmmbmbmmbbmmbbmbmb?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.46714 to 1 decimal place.\nAnswer: -36.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 120 - 0) + (116 - 87 - (-88 - -119))?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from {s: 2, h: 1, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k + 35*k + 29*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.97 + -0.03. Let h = -2 - -4. Suppose h*k + 2 = k. What is the third smallest value in k, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10137?\nAnswer: 3, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 9:52 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 - 6*t - 9. Let h(x) = 29*x**2 - 17*x - 27. Give -8*g(y) + 3*h(y).\nAnswer: -y**2 - 3*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -519000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*z + 3 - 729*z**3 + 726*z**3 as m*z + o*z**2 + s + y*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6220 and 79\/401190.\nAnswer: 802380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0*c**3 - 6*c - 19*c**3 + 6 + 0*c**3. Let t(k) be the third derivative of k**6\/120 + k**4\/24 - k**3\/6 - 2842*k**2. Calculate -d(i) - 6*t(i).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:44 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d. Let k(t) be the first derivative of 17*t**3\/6 + 12*t - 3. Let m(u) be the first derivative of k(u). Calculate m(g(v)).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {s: 7, m: 5, g: 1, i: 2, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i - 32*i + 0*i)*(-306 - 74 - 72)*(0 - 1 + 3) to l + d*i and give d.\nAnswer: 34352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -4. Let u be 4\/18 + 46\/(-207). Solve u = -k - 1 - g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.06 + 24. Which is the closest to 2\/7? (a) j (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -818.0187 - -818.141600927. Let z = p + -0.1229. Round z to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:42 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:18 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - ((-10 - -8) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 14*o - 45. Give t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5287 and 1411.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) 3 (c) -1\/2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5458\/3 + -1819. Sort 0, 111, o in decreasing order.\nAnswer: 111, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5 = 3*v - 24, j - 20 = -5*v. Suppose 4*z - j*p + 29 = 144, -4*z = -p - 119. Calculate the highest common divisor of z and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87984, 175690, 263396, 351102?\nAnswer: 438808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34, 0.4, 10 in decreasing order.\nAnswer: 34, 10, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4742418, -9484835, -14227240, -18969633, -23712014, -28454383, -33196740?\n\"Answer: 6*y**2 - 4742435*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112211 + -112202?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/7)\/n)\/n**(-2))\/((n\/n**(-2\/9))\/((n\/(n\/((n\/n**(2\/21))\/n)))\/n*n))*((n**(2\/5))**(-44))**41 assuming n is positive.\nAnswer: n**(-227449\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -0.3 (c) 0.5 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/44*(24\/((-216)\/(-18)))\/(6\/2)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 115*t - 300*t - 305*t.\nAnswer: -490*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1 = -1. Solve -5*d + 3*d = t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 10. Let c = 38 - s. Suppose 0*f - f = 2*o - 51, -o = 2*f - c. What is the remainder when 67 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30322, -60658, -91008, -121378, -151774, -182202, -212668?\n\"Answer: -v**3 - v**2 - 30326*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -21 - -19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**4 - u**3 - u - 1. Let a(l) = 2*l**4 + l**3 - 3*l**2 + l + 1. Let d(f) = -2*a(f) - 2*c(f). Find the third derivative of d(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1048 + 37 = -5*g, 3*q = g + 1491. Suppose 5*d = 2*d + q. Let w = d + -79. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 85*s. Let x(i) = 194681*i. Calculate k(x(d)).\nAnswer: 16547885*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by -107419.\nAnswer: 170\/107419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let i(j) = 135040*j**2. Give i(y(x)).\nAnswer: 540160*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347668 is divided by 1093.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*p - 1. Calculate the common denominator of (-404)\/p - (-1 + 1) and 1\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l - 1053 = -127*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 3*q)*(-1542*q - 43*q**4 + 1542*q)*(2 - 1 + 0)*(-1 + 1 - 2).\nAnswer: -172*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1542 - 1542 - 77*o + 21*o. Let t(d) = -35*d. What is t(x(g))?\nAnswer: 1960*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5.4. Let b be ((-12)\/30)\/(6\/10). Let v = b + 13\/15. What is the smallest value in v, u, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 2*a = 4, 5*w - 3*a = -6*a + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s)*(-2*s + 2*s - 2*s) + 2*s**2 + 2*s**2 - 2*s**2 - 2*s**2 + 3*s**2 + 0*s**2 + (s - 2*s**2 - s)*(1 - 3 + 4) + 2*s**2 + 40*s**2 - 8*s**2.\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011 (base 3) to base 7.\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -110001100011100111110100?\nAnswer: 110001100011100111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hee when three letters picked without replacement from {e: 4, h: 3, k: 5}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-10\/3))\/d**(-5)*d**(2\/13)*d*d*d\/(d\/d**(4\/9))*d)**44 assuming d is positive.\nAnswer: d**(71720\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25226442 - 10?\nAnswer: -25226452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 268.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 11*d + 7. Suppose 9*o - 6*o = 18. Does 3 divide a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432152 (base 9) to base 11.\nAnswer: -16648a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = -20. Let q = 124 + f. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - ((-69 - -51) + (-5 - -37)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3\/4, -3.84?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s. Let t be g(1). Let d(m) = 10*m - t*m + 0*m - m. Let h(a) = -11*a**2 + 7. Let x(i) = -4*i**2 + 2. Let n(b) = -2*h(b) + 7*x(b). What is n(d(k))?\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 8*b**2 + 3*b - 9. Let i be h(6). Let m be (-1778)\/i + 2\/(-9). Let o be ((-1)\/26)\/((-7)\/m). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7019.678mm?\nAnswer: 701.9678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = 2. Suppose o + o - 6 = -2*h, 4*o = 8. Put b, -3, h in increasing order.\nAnswer: -3, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(27\/(-63) + 19\/28). Suppose -2*n + m - 1 = 0, n + m - 4 + 3 = 0. Solve -y = -2*q - n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -3\/10, -58?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27616, 55220, 82824, 110428, 138032, 165636?\n\"Answer: 27604*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 231. Determine x(13).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2795.667 centuries?\nAnswer: 27956.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*m + 4, z - 5 = 5*m + 6*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74191232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 2, j: 1, h: 1, d: 2, u: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 2*h + 1. Determine q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -140. Solve 2 = -t*x - 2*b, 0*b - b = 2*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a hour in seconds?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9990 divided by -3.\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - sqrt(700)*-2 - sqrt(700)) + 3 + sqrt(700) + 3*sqrt(700) + -1 + sqrt(700))**2 - (sqrt(63)\/sqrt(3)*6 - sqrt(21))\/(3*sqrt(147)).\nAnswer: 5875*sqrt(7)\/21 + 34304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.2, -2\/9, 3, 0.04, 0.7 in descending order.\nAnswer: 3, 0.7, 0.04, -2\/9, -10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0757 and 0.2.\nAnswer: -0.01514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = 50. Let d be 5\/(-10) + (-7)\/z. Solve 4\/5*t**4 - 1\/5*t**5 - 6\/5*t**3 + 4\/5*t**2 + 0 - d*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5161 - -1.33. Let l = v - 0.0279. Round l to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 = -0*s + 2*s, 0 = 4*n - 3*s - 16. Let b = -156103\/20 + 7805. Which is greater: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = -20, -4*z + 2*c = -70. Suppose -36*o + 41*o = z. Solve 0*x - 2 = o*q - 2*x, 2*x - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c**3 + 4*c**2 + 4*c - 1. Let h(u) = 9*u + 50. Let g be h(-6). Is j(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-251)\/1757 + (26\/(-14) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -15, -6, 4, 0.4, -17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 877*w - 790*w - 261 = 0. Solve -l = -w*l + 14 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 316 + -304. What is the remainder when 21 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d. Suppose -2*v = -2*b - 12, 3*b - v - 4*v + 26 = 0. Let i(w) = -w**2 + 3*w + 1. Calculate b*i(f) - 4*k(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 3, 1\/3, -1\/4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -20 + 20 - 4*t. Suppose 6*h - 3*h - 6 = 0. Let n(c) = -2 + h + c. Give n(d(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 2863195, -2\/7 in ascending order.\nAnswer: -2\/7, 1.1, 2863195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:08 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4)**(-43)\/(r*r\/r**3*r*r)**(-24\/5) assuming r is positive.\nAnswer: r**(-836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34913519969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2. Let u(a) = 2*a**2. Let w(z) = 3*f(z) + 2*u(z). Suppose 0*s = 4*s - 40. Let x(l) = -6*l - s*l + 20*l. What is w(x(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - c - 13 = -5*l, 2*c - 4 = 0. Suppose 5*g - 70 = -5*d, 0*g + l*g = 4*d + 7. Solve y - 19 = 4*f, y + 0*f - g = 2*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*a - 7 + 28, 3*a = -u + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1e59b (base 16) to base 7\nAnswer: 1025302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 12*a**2 - 3*a + 15. Let l be x(12). Let m be 9*(-1 - l\/9). What are the prime factors of 2\/(1 + (-9)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 21 = 3*n. Let h(g) = g**2 + 4*g - 8. Let b be h(-6). Is (-62)\/(-4) + b\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 (base 8) in base 15?\nAnswer: 5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 - 2*b. Let r be w(2). Suppose -5*y = -25 - r. Suppose j = 5*d - 195, -2*j + y = -j. Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = h + 9*z + 22, z = -5. Which is smaller: -34\/11 or h?\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467 divided by -24820\nAnswer: -467\/24820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-14) + 3282\/21. Let r = 157 - q. What is m in 4\/7*m**2 + 6\/7*m - r*m**3 - 2\/7*m**5 + 2\/7 - 6\/7*m**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*p = 153*p - 23*p - 60458976. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7215271ug in milligrams?\nAnswer: 0.0007215271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3027 divided by 1\nAnswer: 3027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(1 + 3). Suppose -l*z = 3*f - 18, -3*z + 10 = 2*f - 6*f. Let s be -45*(-2 - 8\/(-5)). Calculate the greatest common factor of z and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a + 12. Let q be (1*a)\/(1\/(-2)). Let l = q + 17. Solve 2*z - 3*g = z + 6, l = -3*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*w - 215751 = -212031 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 208724 = -19207. Is k\/231 + (-2)\/(-21) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.52*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 3031?\nAnswer: 3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3616*y + 15979 + 74421 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 14, -119, -36, 1.\nAnswer: -119, -36, -4, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**3*b)\/b**(-1\/6))**(-4\/9)\/(b**(-6)*b**(-3))**(-6) assuming b is positive.\nAnswer: b**(-1448\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:28 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*n + 81 + 109 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4133 divided by -285329.\nAnswer: -4133\/285329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973208237?\nAnswer: 973208237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3229 is divided by 400?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*d - 3*w = 432*d + 5, 0 = -3*d + 30*w - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1081815630 to the nearest integer?\nAnswer: 32891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*(-76988 + 0). Let q = i - 26506. Suppose 19984 = -5*o + 4*g, -2*o = -5*o + 3*g - q. Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -9) + -6 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, -0.3, -3\/95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 2*t + 8, -4*t = 2*c - 8*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75400 and 55.\nAnswer: 829400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18829\/11 - 1714. Calculate the common denominator of -39\/2 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2652\/312)\/(((-6)\/(-1))\/(-12)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:46 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*h**3 - 131*h**3 - 428*h**3 + 72 wrt h.\nAnswer: -1929*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 30533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169508 and 144.\nAnswer: 6102288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)*-1 - sqrt(88))*-5 + (sqrt(88) + (sqrt(88) - -2*sqrt(88)*-3) - sqrt(88)))*2)\/((sqrt(64)\/sqrt(4)*-2)\/(-2*sqrt(6)\/sqrt(3))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*n - 0*n. Suppose u = 3*c - 1, 3*u + 2*c - 4 - 26 = 0. Solve 1 = -3*s - 4*q - u, n = -3*s - 3*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 736097748 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 328 + -325. Suppose -2*r = -4*u + 12, 5*u = -4*r + 9 + 19. Sort r, l, 4 in increasing order.\nAnswer: r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -1686, -3787, -6728, -10509?\nAnswer: -15130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -66. Let r = -4 - -7. Do b and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*v - 17, -w + 6*v - 28 = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = -3*q - w, -w - 11 = -3*q. Suppose -v + o - 4*o = -36, -2*v = q*o - 52. Let x(s) = 13*s - 4. Calculate the remainder when x(5) is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/80 and -51\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = 0, 5*b - 14 = -27*m + 28*m. Put 25, 3, b in decreasing order.\nAnswer: 25, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113 and 384.374?\nAnswer: 43434.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.79798 years in centuries?\nAnswer: 0.4679798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (78 - 1)*3*(-23)\/69?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, u: 1, l: 1}. Give prob of picking 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 9. Let r(b) = b**2 - b - 1. Let j = -185 + 193. What is the remainder when j is divided by r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-5)\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*y. Suppose y = d - 3*d + 14. Calculate the remainder when ((-19)\/2)\/((-2)\/4) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*t - 11*t = -9*t - 861 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q - 28. Let x be c(2). Solve f = 6 - x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by -5.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1050) - sqrt(1050)*1)\/(-1*sqrt(18)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 539, 532, 513, 476, 415, 324, 197, 28?\n\"Answer: -d**3 + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000106191435 rounded to 6 decimal places?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1129, 1038, 947, 856, 765, 674?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2159\/43, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.5101 and -0.752.\nAnswer: 11.7581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + c**2 + (0 + 2*c + 0)*(5*c - c - 2*c))*(-14*c**2 + 17*c**2 - 4 - 188*c**2).\nAnswer: -925*c**4 - 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 1. Let k be i(1). Let r = 396 + -392. What is the third biggest value in k, r, -2\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 10:59 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1*2\/2*-1. Let u = -39 + 41. Solve -10 = -u*a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/7 + 12*o**2\/7 - 2*o = 0. Calculate o.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -223. Suppose -5*u + z = -0*u. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 646, 960, 1274, 1588, 1902?\nAnswer: 2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18860 at most 132011\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1601 - -1602. Let n = -7 + 2. What is the nearest to 1 in 4, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79, 1061, 2959, 5615, 9029, 13201, 18131?\n\"Answer: 379*x**2 + 3*x - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 + 487. Let v = -114 + w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1470912 by -15322.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 - 126*m**2 - 1024524*m.\nAnswer: m*(m - 2292)*(m + 1788)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c - 13953?\nAnswer: -139c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1760 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -91.8 (b) 475 (c) 1\/6 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - 2\/(-1) - -9. Solve 0*l = -c*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6371627?\nAnswer: 6371627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1758 divide 3181551850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 116*m**2 + 1 - 2*m**3 + 3*m + 0*m - 57*m**2 + 2*m**4 - 56*m**2 to the form v + z*m**3 + r*m**4 + l*m + n*m**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -47, 0, 3068, 0.4, -4, 5, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 14*v**2 - 33*v - 6. What is the remainder when 35 is divided by y(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 165. Let s = 96 + t. What is the closest to -0.1 in s, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 4*k - 5*k. Let q(z) be the first derivative of 2*z**3\/3 - 1. Calculate q(o(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1, -11, -4, -1\/2 in decreasing order.\nAnswer: -1\/4, -1\/2, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 7*l + 2. Let m be 10*(1 + 12\/(-20)). Suppose 0 = -d + m, 100 = -0*r - 3*r + d. Let x be r\/7 - (-76)\/133. Calculate o(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 1 + -3 - -7. Let a(x) = -x**3 + 9*x**2 + 9*x - 97. Determine a(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.335344 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 + 130. Suppose w = -2*x - 7*x + 1386. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 569678582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - u + 8 + 11, x + 4*u = -14. Suppose -x*c = 10 + 2. What is the second smallest value in 1\/9, c, 7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*b - 8526 = 2530 + 4544 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -478 - -1899\/4. Let j = 799\/114 - 23\/3. Find the common denominator of j and h.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a microgram in nanograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - 5*u)*(1 + 4 - 4) - 7 + 93*u - 13*u + 6.\nAnswer: 78*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/7891 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-3)\/(-6)*-14. Calculate the greatest common divisor of g and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/3 (c) -1\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/2 - 11038279*v**3\/2 - 22076555*v**2\/2 - 11038277*v\/2 = 0. Calculate v.\nAnswer: -11038277, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 11736*b - 17310380.\nAnswer: -(b + 1730)*(b + 10006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 2*y + 2. Determine g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and 957416.\nAnswer: 957432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2747\/(-201) + 2830\/210?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 21*b = 24*b - 300, -2*h + 3*b = -288. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0*w**2 - 2\/5*w**5 + 0 - 18\/5*w**3 + 4*w**4 + 0*w = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6580 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 13*f**2 + 40*f + 20. Let a be h(-9). Let x = a + 17. Solve -2*u + 3*u = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 5*u + 2. Suppose 0 = -4*l + 24 + 28. Suppose 3*i + 1 - l = 0. Let w = 9 - i. Determine h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g. Let p(a) = -271*a + 1088. Let c be p(4). Let z(s) be the third derivative of 0*s**c + 0*s - 18*s**2 + 0*s**3 - 1\/60*s**5 + 0. Determine z(h(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4209\/28, 0.5, -4 in decreasing order.\nAnswer: 4209\/28, 0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2. Let h(r) = -r + 6. Let a(q) = 896*q - 2304. Let z(s) = a(s) + 384*h(s). What is g(z(o))?\nAnswer: -786432*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18149256*k**2 + 25*k + 147986 wrt k?\nAnswer: 36298512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 27*a = 21420. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33496?\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/11 and (21\/(-9))\/(3\/5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/5)\/(60\/(-20))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44853121\/232 - -193332. Find the common denominator of 21\/88 and v.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 + 13*z + 82. Let m be t(15). Suppose 35*q - m - 3768 = 0. What are the prime factors of q?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/27 and -5\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(13\/(156\/(-48))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7560)\/60)\/63*(-2)\/(-6*8)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -65*k + 68*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 7\/5, -0.3 in increasing order.\nAnswer: -2, -0.3, 7\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-24) + (2 - (-63)\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11272?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emm when three letters picked without replacement from {z: 2, e: 1, m: 3, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 34637868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**3 - 241*n**2 - 211*n + 263. Calculate x(41).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -150?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 9. Let u(c) = c**3 - c**2 - 1. Let m(q) = -4*q**3 - 2*q**2 + 4*q - 3. Let p(f) = m(f) + 3*u(f). Let r be p(-6). Calculate l(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f + 3653 = 102*f - 21*f - 5037 for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2765 - 10987\/4. Suppose 0 = 2*c + 17152 + 3658. Let g = c - -124961\/12. Find the common denominator of n and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13516677.9 nanoseconds to days.\nAnswer: 0.00000015644303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17051615.\nAnswer: 5, 7, 131, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 1, g: 1, n: 1, y: 1}. Give prob of sequence nly.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-2) - -1)*-2. Suppose -3*w + w - 2 = 0, g - 3*w - 19 = 0. Suppose -v*a = -3*m - 183, 0*m = 4*m + g. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 113 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10828*w**4 + 4193*w**2.\nAnswer: -259872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -4.1. Let t = 0.79 + -0.19. Let u = 1.6 - t. Which is the closest to u? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Suppose 8*d - 24 = m*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - -221. Let q = 264 - t. Let g(u) = u**3 + 3*u**2 + 3*u + 2. Let i be g(-2). What is the closest to 0 in -5, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16644332, -33288681, -49933030, -66577379, -83221728, -99866077?\nAnswer: -116510426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 33.23. Let z = b - -7.77. What is the fourth smallest value in 1, 0.3, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 40, 28, 16, 4?\n\"Answer: -12*w + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (160\/(-48))\/(20\/(-48)). Solve 0 = 4*b + 3*f, -16 = 4*b - 3*f + o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/84*7\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, 33.\nAnswer: -5, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -10114.\nAnswer: -2\/5057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3\/5*l**4 + 0 + 138\/5*l**3 + 87*l**2 + 294\/5*l = 0.\nAnswer: -2, -1, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d**3 + 0 + 0*d - 1\/60*d**5 + 0*d**4 - 2*d**2. Let y(q) = 3*q. What is y(t(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, 2*y + 4 = 2*k + 6*y. Suppose 200 = -k*d + 7*d. Suppose 0 = -5*f + 21 - 1. What is the greatest common divisor of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44302, -88628, -132944, -177238, -221498, -265712, -309868?\nAnswer: -353954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 9?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98781\/342 - 1\/(-6). Let y be ((-2)\/(-2) - 2)*-136. Let i be 2\/(-16) + v\/y. Solve i*c + 0 - 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2530*h**2*q**6 - 4*h**2*q**2 + h*q**6 - 14*q**2 + 2*q wrt q?\nAnswer: 303600*h**2*q**3 + 120*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1191196*i**2 + 311670 with respect to i.\nAnswer: -2382392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.208321m to centimeters.\nAnswer: 420.8321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66718 + 123724. Let z = -57010.00016 + c. Let l = -4 - z. What is l rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 0.042 (c) -1 (d) -4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*m - 29 = -3*u, -4*u - 4*m - 12 = 0. Suppose 465 = 2*o - h, -u*o + o + 234 = h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 286*q**2 + 5*q - 286*q**2)*(-3 - 1 + 5) + (-2*q + 3 - 3)*(0*q + q**2 + 0*q) - 8*q**3 + 6*q**3 - 9*q**3.\nAnswer: -12*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -9 + -7 + (12 - (-1 - 1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 2*q + 3. Let z be x(3). Let p(g) = g**2 + 8*g - 7. Let c be p(z). Factor 4\/5*j - 2\/5*j**c - 2\/5.\nAnswer: -2*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29054627.\nAnswer: 7, 43, 96527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7019 + -7019.1. Which is the second smallest value? (a) -0.8 (b) t (c) 2 (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 0*u**3 + u**3 + (1 + 1 + 2)*(2*u**2 - 2*u**2 + 4*u**3) + u**3 - 3*u**3 - u**3 to g*u**3 + k*u + w + i*u**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 25, 46, 73, 106?\n\"Answer: 3*b**2 + 6*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292.02 - 0.02. Let j = s - 300. Which is the smallest value? (a) -2\/5 (b) 5 (c) -1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -57*t**3 - t**2 - t - 1. Let v be d(-1). Suppose -h - 11 = -v. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3, -39.\nAnswer: -39, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {t: 1, b: 4, s: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-20))\/(8\/5). Which is smaller: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*z**4 - 680*z - 26099?\nAnswer: 12*z**3 - 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 15) to base 10\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/11 + 4298\/77. Suppose 0 = -0*l + 3*l - 42. What is the highest common factor of l and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3473 - 5?\nAnswer: 3469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006452987 to five dps.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54202392 by 4.\nAnswer: -13550598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyxufyuyxxyuyuux. Give prob of sequence uy.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*l + 26, 5*y + 5*l - 55 = 2*l. Let d = 14 - y. Solve -3*z = x + d, 24 = -3*x + 8*x - 3*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -5) + 1328\/166\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 13.89687 * -0.8\nAnswer: -11.117496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {x: 2, r: 5, w: 7, u: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**2 - 21193*n**5 - 8*n**2 + 21244*n**5)*(5 - 4 + 1 + (3 + 1 - 5)*(4 - 2 - 4) + 4 - 5 + 0)*(-6 + 4 - 1).\nAnswer: -459*n**5 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Find i, given that -i**3 + 3*i**4 + 3*i**4 - 5*i**t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120210 - 30?\nAnswer: -120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k + 1. Let p be x(2). Find s, given that -6*s**p - 6*s - 45 + 45 - 15*s**2 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-104)\/(-14) + (-3)\/7. Solve 4*l + w = -7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 2*k**2 - 179 + 1\/25*k**6 + 0*k**4 + 0*k**3 - 11\/150*k**5 - 1\/525*k**7 + 0*k. Factor b(t).\nAnswer: -2*t**2*(t - 11)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 145*x**3\/3 - 3*x**2\/2 - 4*x - 130. List the prime factors of r(2).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**3 - 17*o**2 + 7*o + 8. Let b(a) = 5*a**3 - 16*a**2 + 6*a + 7. Let d(s) = 7*b(s) - 6*z(s). Let f be d(-10). Solve -c + f = 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + 0.32. Let v = 0.7 + q. Sort v, 3, 0.3.\nAnswer: 0.3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/2895 and -14\/3489.\nAnswer: 3366885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 146, 832, 2682, 6272, 12178, 20976, 33242, 49552?\n\"Answer: 96*k**3 + 6*k**2 - 4*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.48 - -7.48. Which is the closest to 1? (a) -1 (b) z (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(44) + sqrt(44)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -14) + -26 - (8 + -4 + -30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssks when four letters picked without replacement from ksdddskskkskksdk.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2077*t. Let l(j) = -681*j**2 - 420*j**2 + 1099*j**2. Determine l(k(f)).\nAnswer: -8627858*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q - 7\/4*q**3 - 4*q**2 + 0 - 1\/4*q**4.\nAnswer: -q*(q + 2)**2*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/9)\/4)\/((-2688)\/896)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18113 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g + 0*g)*(-22*g**2 + 47*g**2 - 9*g - 26*g**2).\nAnswer: g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43595320 divided by -5?\nAnswer: -8719064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than 0.4374369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 78. Calculate the remainder when t is divided by 3\/9 - 58\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 4*j + 7*j - 15*j + j - 12*t, 3*j = -33*t - 321 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3638521732664 from 5.6.\nAnswer: 5.9638521732664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-12))**(-41\/4)\/(z*z**(3\/5))**(-41))**(2\/109) assuming z is positive.\nAnswer: z**(1886\/545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000819067727 to 7 decimal places.\nAnswer: -0.0008191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151021 (base 9) to base 16.\nAnswer: 169ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 divided by -193?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 13 = 2*u, 4*l + 1 + 5 = -3*u. Suppose 4*m = -u*z, 0 = -3*z + 7*z + 2*m + 6. Let w = 15 - z. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Let c = -2 - w. What is the highest common factor of 11 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7892682.\nAnswer: 2, 3, 7, 187921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - (-12)\/(-1) - 50. Let a be 15\/(-35) + l\/(-91). Is a less than or equal to 7.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21303293.\nAnswer: 11, 31, 62473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-22))\/(374\/(-1496))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 625b4?\nAnswer: -625b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*o - 14, 3*o + o + 12 = 0. Suppose 2*r + 6 = -m, 388 = -4*n + 5*r. Let p = 107 + n. Solve 3*l = p + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 2, m: 1, c: 1}. Give prob of sequence jfj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2543\/4 + 636. Suppose 0 = 4*h + 4*l + 24, -4 + 8 = 2*h - 2*l. Sort v, -6, h in descending order.\nAnswer: v, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:01 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t - 29 - 1203. Let a = 303 + t. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 31\/108 (b) -0.02 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0484 and -4?\nAnswer: -0.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(4598)*4 + sqrt(4598))*1)\/(-2*(3*2*sqrt(2) - sqrt(16)\/(-1*sqrt(8)))).\nAnswer: 121*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 9*t**4 - 108916*t + 108916*t - 3*t**3 in the form b*t + j + z*t**3 + n*t**4 + y*t**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*t + 22\/17*t**2 - 22\/17 - 2\/17*t**3.\nAnswer: -2*(t - 11)*(t - 1)*(t + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5*(-10)\/(-250))\/(4 + -3). What is the third biggest value in -0.3, 0.4, n, 515, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p. Let k(y) = -11*y**2 - 21*y. Calculate v(k(t)).\nAnswer: -44*t**2 - 84*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + l = -2*t - 7, 0 = 2*t - l + 3. Let n be -4 - ((-3)\/1 - -3). Let p = t + n. Let q(w) = -w**3 - 6*w**2 - 6. Calculate q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 496*o + 1496. Let n be f(-3). Let y be (-3 - (0 - 4))*108. Calculate the greatest common divisor of y and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -69427?\nAnswer: -69426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007217562 rounded to seven decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.75 + -0.05. Let b = t - 4.7. Let g = 3.9978 + b. What is g rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/7)\/((d\/(d\/d**2)*d)\/d))\/(d**(-2\/7)\/d**0))\/((d\/d**(-2\/3)*d*d)\/d**3*d**(-4)\/d*d**2\/d) assuming d is positive.\nAnswer: d**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) 4.78 (d) 210 (e) -3.5 (f) -2 (g) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13886391, 13886391, 13886389, 13886385?\nAnswer: 13886379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 1, -2\/69167?\nAnswer: -2\/69167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Let s(m) = -m**3 + 12*m**2 + 9*m - 3. Let k be s(13). Let c = 272\/5 + k. Sort c, v, -7 in decreasing order.\nAnswer: v, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 3342180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r + 4*f - 108, 4*r + 5*f = 105. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55486564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 3*n - 3*n + (n - 4*n + 4*n)*(-6*n + 2*n + 0*n) - 7*n**2 + 30*n - 30*n - 4*n**2 - 11*n**2 - 2*n**2.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -231, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 140537?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.377892 rounded to two decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 215 = 2*v, -7*v + 9*v + 454 = 2*z. Suppose -2*d + 2*h + 183 = -39, 2*d - 3*h - z = 0. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2 - 4 - 2). Let d be ((-1)\/(-3))\/((-1)\/(-15)). Suppose a = d*a. Put a, -4, z in ascending order.\nAnswer: -4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(27 + (-16)\/(-4)). Let m = 64 - s. What is the second derivative of -23*w - m*w + 12*w - 32*w**3 - 14*w wrt w?\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*r = 462*r + 380 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 + -18. Sort 4, 3, n in descending order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/2)*p*p)**10)**(-2\/67) assuming p is positive.\nAnswer: p**(-50\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11286 or 1534881\/136?\nAnswer: 1534881\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m - 17*m + 38*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 18467, -1\/3, 2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (15 - 1) - (-29 - -31).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2 - z + 1 + 0. Suppose -3*a + 0*g + 1031 = 5*g, -4*a - g = -1369. Let b = -348 + a. Give w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/240 + 7*n**5\/120 - 7*n**4\/16 - 9*n**3\/4 - 2139*n**2. Factor a(l).\nAnswer: (l - 3)*(l + 1)*(l + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2*r**2 + r + 65. Let y be c(0). Suppose 53*p - y*p = -36. What is the second smallest value in -5\/2, 2\/13, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or -162495?\nAnswer: -162495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, g: 1, h: 1, x: 1, o: 8}. What is prob of sequence ohx?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1)**10)**(3\/43))**(-33) assuming l is positive.\nAnswer: l**(-990\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -958 - 6305*n - 967 + 1925 - 157*n**4 wrt n?\nAnswer: -1884*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.33 - 0.93. What is the second biggest value in h, -1, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*a**2*o**2*x**2 + 11*a**2*o**2 - 52*a**2*o*x**2 + 2*a*x**2 - 4*o*x**2 wrt o?\nAnswer: -120*a**2*x**2 + 22*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -29, 5 in increasing order.\nAnswer: -29, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10952480 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.9 + -29.900123. What is j rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {z: 1, o: 1, t: 1, m: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 669*u**2 + 19158*u + 66120.\nAnswer: 3*(u + 4)*(u + 29)*(u + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 73*r**2 + 4*r - 248. Calculate c(73).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 70386719.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816982.\nAnswer: 2, 408491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12141901 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: Sort -24, 7, -4 in increasing order.\nAnswer: -24, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 28*r**2 + 153*r + 6. What is x(-21)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2558 and 0.30553.\nAnswer: 781.54574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5073.\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 40*g**3 - 100*g**2 + 20*g - 8. Let b(u) = 2*u**3 - 4*u**2. Let o(z) = -a(z) + 24*b(z). Let o(y) = 0. What is y?\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.018 - 2.518. What is the closest to 2 in l, 1\/3, -4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 2617419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -11.\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 775\/(-60)*3\/(-13). Let k = d - 42\/13. Put 3, k, 4 in descending order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + 2 + -2 - (-466)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -35, 214.\nAnswer: -35, -5, -2, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -684\/17, 13, -0.3 in descending order.\nAnswer: 13, 5, -0.3, -684\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.81 and 0.4.\nAnswer: -5.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 944055 = -6966*d for d.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38962997, -77925993, -116888989, -155851985, -194814981?\n\"Answer: -38962996*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:26 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4532*t - 9960 = 276*t - 82312 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3 = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -174*b**5\/19 - 96566*b**4\/19 + 391284*b**3\/19 - 8944*b**2\/19 = 0.\nAnswer: -559, 0, 2\/87, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 14*a + 1. Let c(d) = -920*d**2 + 3220*d - 230. Determine -c(t) - 230*u(t).\nAnswer: 460*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*s - 64, 0 = -4*g - 0*g + 2*s - 50. Let t = -436217619 - -1202651944349\/2757. Let p = t - 4\/919. Is g equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13515, 13521, 13527, 13533, 13539, 13545?\nAnswer: 13551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Suppose l*o - 286 = -x, 0*o = -5*o - 3*x + 474. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/55, -0.7, 404 in descending order.\nAnswer: 404, -18\/55, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 146, 609, 1378, 2453, 3834, 5521?\n\"Answer: 153*j**2 + 4*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28354 + 28358. Let a be 4\/(-6) - (-11)\/3. Solve -a*t = p + l, 0*t + 4*t = -2*p - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a factor of 569354405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105621*979.\nAnswer: 103402959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, -6, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (696\/660 + -1)\/(3\/(-15)) + 822\/2772\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3608 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 4*b + 306. Suppose 2*l = l - 106. Let p = l - b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.9725kg in milligrams?\nAnswer: 447972500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688*u**2 + 2 + 672*u**2 - 2004*u**2 + 667*u**2.\nAnswer: 23*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-146)\/(2 - 120\/56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + (-34)\/6)*3\/(-4). Let i(a) = 11*a**2 - 9*a**d + 2*a - 2*a. Let m(j) = -9*j. Give m(i(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99 + 169 + 60 + 91)*(5*j**4 + 0*j**4 - 3*j**4) as u*j + t*j**3 + m + v*j**4 + x*j**2 and give v.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284413*0.1.\nAnswer: 28441.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5063235?\nAnswer: 3, 5, 227, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.052 - 0.052468. What is v rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -472*q + 2955. What is the remainder when 493 is divided by y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5529 - 5529 + 3*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2112 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 232611*s + 232611*s - s**2 + 11*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8330050 a multiple of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 16*c**2 + 11*c - 85. Let p be k(8). Let n(i) be the third derivative of -1\/21*i**p + 1\/210*i**5 + 0 + 6*i**2 + 0*i + 0*i**4. Factor n(j).\nAnswer: 2*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1814621 or -3?\nAnswer: 1814621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -49*((-64)\/(-7) - -2). Let s = 545 + r. Which is greater: 10\/71 or s?\nAnswer: 10\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**12*z*z*z*z*z)*z\/(z\/z**(-34\/7)) assuming z is positive.\nAnswer: z**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27250.64 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-7 - ((-3 - -4) + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15938762*y - 33292764?\nAnswer: -15938762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 20*k - 12 as m + b*k and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexoioiiboeioeoie. Give prob of picking 2 e and 1 i.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmimmmi. Give prob of picking 2 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (4 - (13 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcljrbjj. Give prob of picking 1 j and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 390*t - 2303. Give l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22956673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 4*l**2 + 5*l**2)*(l + 0 + 0) + (17*l - 4*l + 0*l)*(-2*l**2 - 4*l**2 + 3*l**2) + (0 - l + 0)*(2*l**2 + l**2 - 2*l**2) + 0*l - 2*l**3 + 0*l.\nAnswer: -43*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 + 9*i**2\/2 + 13*i + 94. Calculate h(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -211\/4. Let g be 1\/12*(15 - 7). What is the fourth smallest value in -2, g, w, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329997400 rounded to the nearest one hundred thousand?\nAnswer: -330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**4 - 141*h**3 + 45*h**2 + 81*h.\nAnswer: 3*h*(h - 9)*(h - 1)*(5*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1057 divided by 10.\nAnswer: -1057\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*p = 357*p - 3386. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*b = -7*g + 12, -1 = -g - 2*b. Suppose 1 = 5*x + 5*y - 4*y, 2*y + 5 = -g*x. Calculate the least common multiple of 32 and (1 + 10)*x*-2*-2.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -899\/1884 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 145.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.2 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 292\/7 + -1147\/28. Let a = 1088\/7 + -156. What is the nearest to 1 in -0.2, -1\/6, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -317, -764, -1403, -2234, -3257?\n\"Answer: -96*p**2 + 33*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(225\/(-10))\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + 6. Suppose 0 = -5*g - q + 177, g + 2*q - 33 = q. Suppose 0 = 2*k - v + 4*v - o, -3*k - 4*v + g = 0. What is the greatest common factor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 9*c**2 + 6*c - 141. Let a be v(6). Solve 54*n - 51 = a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 591018320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 = -14. What is the remainder when d is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*y - 6 = 2*k + 74*y, -13*y + 72 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:03 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(27) + -3 + -1.\nAnswer: -6 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5448*z + 200091 + 282264 = -8536*z - 14777*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 259*x + x**3 + 5.\nAnswer: x**3 + 259*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 + 10 = 0. Suppose 0 = -3*d - b*k - 6, 5*k + 0 + 10 = 3*d. Is -1\/3 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 52700 = 4*i - 15*d, 5*d + 13175 = i. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 33*r - 6. Suppose -2*c + 3*q - 5 = -3, 0 = 5*c - 5*q. Does 15 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 242290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 7\/113 (c) -1\/4 (d) -0.1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, q: 4, b: 1, d: 3}. What is prob of picking 1 q and 1 x?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w - w)*(20*w - 396 + 396) - 5 - 2*w**2 + 5.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6010, 11969, 17950, 23965, 30026, 36145?\nAnswer: 42334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318655.\nAnswer: 5, 101, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 0, 1, 18 in ascending order.\nAnswer: -110, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 4. Let w = p + -2. Suppose 3*n - 21 = -w*g + 7, -32 = -2*n - 4*g. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 11*j - 1. Give f(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9820333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -186, -373, -560, -747, -934?\n\"Answer: -187*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 102 + (-49 - -4)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1128*m*v**4 + m*v**3 + 1781*m + 2*v**4 - 7*v**2 wrt v.\nAnswer: -27072*m*v + 6*m + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -1\/5, -0.07, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2550 - 2550.024045. Round f to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - 15) + 677\/1. Let p = f - 954. Let x = 422 + p. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54859\/1212 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/(-42))\/((-12)\/(-42))*466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940\/418*9*((-420)\/54 + 9)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 13*p + 1 = 16*p, -4*h = -2*p - 16. Solve 0 = -h*o - 9 + 29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 111.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16935277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d**5 - 68*d**4 - 160*d**3 - 52*d**2 + 24*d = 0.\nAnswer: -1, 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*2\/231 + 567\/(-33)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 - 13*n - 13. Let o(b) = -2*b**2 - 6*b - 7. Give 9*o(v) - 4*w(v).\nAnswer: -2*v**2 - 2*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 7. Suppose -12*b = -7*b - k. Suppose 3*o - 1 = -0*q - 2*q, -b*o + 2*q - 16 = 0. Let c(f) = f**2 + f - 1. Give c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/120 + i**5\/10 + i**4\/6 - 3*i**3\/2 + 8*i**2. Let x = -9 + 15. Is c(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*t + 351*t = -332*t + 1048*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x**3 - 4 + 4)*(34*x - 43 + 43) as z + j*x + l*x**3 + q*x**2 + g*x**4 and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100000001101 - 1001010101011?\nAnswer: 1100010101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + -21)\/((12\/260)\/(-3)).\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 150?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2 - o. Let s(j) = -j**2 - 1. Let m be s(0). Let t be w(m). Which is the second smallest value? (a) -0.3 (b) t (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 13712*u + 1 + 4 + 13477*u - 4.\nAnswer: -235*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 33*v - 432. Let j(l) be the first derivative of 9\/14*l**2 - 3\/7*l - 1\/14*l**6 - v + 9\/35*l**5 - 2\/7*l**3 - 3\/14*l**4. Let j(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671702609.\nAnswer: 671702609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395461681*-0.2.\nAnswer: -79092336.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2117 and 43007.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*g - k - 28, 0*g + 7*g + 6*g = -2*k + 91 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 937710 and 17280?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203008 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -59. What is the smallest common multiple of x\/121 - 20\/(-11) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203044 (base 5) in base 3?\nAnswer: 100010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from mbbbbmbbbbbbbbbbbbb.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*l - 0*l - 29, 20 = 5*l. Suppose d + 8 = 3*d. Let k be 312\/20 + d\/10. Solve w*f + f + k = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 - 0 - ((-4 - 7) + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 6*y = 6*m - 14, -4*m + 8 = -2*m + 4*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 8. Let u = -1\/25 + -9\/25. Which is the closest to u? (a) -5 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*3 + 4.\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((1 - 2)\/(-3))\/(34\/(-476)). Which is the nearest to 1\/4? (a) v (b) -4\/7 (c) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52257, 209043, 470355, 836193, 1306557, 1881447, 2560863?\n\"Answer: 52263*d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z - 5*r - 23, 0 = -5*z + 5*r + 35. Suppose -4*y = -2*y - z. Suppose -5*t = y*w - 14, -4*t = -4*w - 0*w + 40. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 573.12329?\nAnswer: 114.624658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2318 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (104\/20 + -6)*5\/2. What is the tens digit of h + 0 + (93 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 551*k**6*r + 2*k**5*r + 69*k**2*r wrt k.\nAnswer: 66120*k**3*r + 120*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 4987*d**2 - 4987*d**2 + 37*d**3 + 2 + 12*d**3 in the form p*d + n*d**3 + f*d**2 + u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8 = -4*o + p, 5*p = 4*o - 44. Let a = -4 + 1. Let y = a + 6. Solve 3*t - 2*s = 9, -s - y + o = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972*b + 3943*b - 982*b - 983*b - 992*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g. Let f(b) = 15*b + 4. Let m(o) = 59*o + 18. Let j(w) = 9*f(w) - 2*m(w). Give t(j(k)).\nAnswer: -289*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 7207029.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2924\/45 + 574\/9. Which is the third smallest value? (a) 1 (b) l (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 196 = -2*o, -5*l + 245 = 2*o + 3*o. Calculate the remainder when l is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15062 - 8012. Round y to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**4 - 12840*h**3*y + 7*y + 4211 with respect to h.\nAnswer: -12*h**3 - 38520*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 82*g**2 + 1660*g + 697. Calculate w(38).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45301.\nAnswer: 89, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.006, -0.4, 0.18, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.18, -0.006, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -6) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 3, q: 1, s: 1, p: 1}. Give prob of picking 1 s, 1 y, and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(396) + -4 + sqrt(396) + sqrt(396)*-4 + -1 + sqrt(396) - (1 + -4 + sqrt(396)*2 + sqrt(396) + 5)**2.\nAnswer: -3577 - 78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2350 + 482 + 1197 + 336*x - 3175*x - 739 wrt x?\nAnswer: -2839","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 * 9455.\nAnswer: -2269.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97\/180 + -11\/180. Sort h, 3\/4, -2\/35, 0.15 in ascending order.\nAnswer: h, -2\/35, 0.15, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - 3*o**2 + 0*o**2 + (-3*o + 4*o - 3*o)*(0*o - 3*o + o) - 3*o - 2*o**2 + 3*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -465 + 471. Solve i - 4*u - 1 = 0, y*u + 12 = 3*i + 3*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15775493309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855398?\nAnswer: 2, 83, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*r - 21 - 14, -4*r + 18 = 2*b. Suppose -8*t + b*t + 139200000 = 0. What is t rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 3. Let l be x(-3). Let d(i) = -4*i - 10. Let t be d(-7). Let n = t + l. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 224*f + 16327. Give h(-73).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*b = -5*j - 273*b - 4, 2 = 5*j - 2*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 185*l**2 - 222*l. Let b(f) = -f**2 + f. Calculate -222*b(d) - w(d).\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1282, -1282, -1288, -1306, -1342, -1402?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3551709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 23 - 43. Let k = -4.8 - -0.8. Sort b, -24\/11, k in decreasing order.\nAnswer: b, -24\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 6*m + 12 = -5*i, 6*i + 18 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (0 - -4 - (-15 - -22))) + 16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 s when four letters picked without replacement from bsasspbasss.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24074.22905 rounded to the nearest integer?\nAnswer: 24074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -915414 or -915363?\nAnswer: -915363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(605) + -3)**2 + 3).\nAnswer: -1851 + 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -98, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 10*d - 8288 = 0. What is the common denominator of 4\/(-1) + d\/(-240) and 14\/25?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) + (14735\/651 - (13 - -10)) + 0.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/46*6332\/144053.\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620792295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a285 + -5?\nAnswer: a280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1399*a**3 - 3101*a**3 + 7*a + 4506*a**3 - 2*a.\nAnswer: 6*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 1\/6*z**4 + 0 + 8\/3*z**3 + 16*z**2 - 3*z. Solve l(v) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 5. Let z be l(0). Let y be (1 + 285\/(-75))*2\/(-14). Is z bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.2 (b) -15557 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 104\/(-6)*(-3)\/2. Suppose -9 = c - 5*x, 0 = -3*c - x + t + 27. Let w be (-498)\/(-332) - (-13)\/2. Calculate the highest common divisor of w and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*c + 2*g - 1 + 1 = 6*c, 15 = -5*g + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/84 - (-2)\/(-7)) + (-4)\/(-72).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**15*w)*w**6)\/(w**(-1\/24)\/(w*w**(-2\/7))) assuming w is positive.\nAnswer: w**(-1385\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from bbibbibb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 0*j**3 + 0*j**3 + j - 2*j**3 - 2*j to the form r*j**2 + s*j**3 + x*j + b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*s**2 + 8*s + 18*s**3 - 13*s + s**3 + 2*s + 4*s.\nAnswer: 19*s**3 + 132*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(1\/5)*o\/(o**(-7\/2)\/o))\/(o**(2\/5))**(-1\/29))**(-15))**(-1\/2) assuming o is positive.\nAnswer: o**(6711\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2811.256 litres?\nAnswer: 2811256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)\/(o**(4\/3)*o)*o\/(o*o*o*o\/(o\/o**(2\/7))*o*o*o)*o*o**(2\/25) assuming o is positive.\nAnswer: o**(-2908\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 79998*q - 79993*q + j, -5*j = -3*q + 15 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/6*(-28)\/5)\/((-18)\/(-9))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/237 less than or equal to 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.5, -3, 0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 15 = j, 2*j - 2*w + 0 = 14. Let c = 51 + -47. Suppose 4*k + k - 1 = -c*r, 20 = -4*k + 2*r. Sort k, -5, j.\nAnswer: -5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167\/14 - 4*6\/(-336)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-69) + -2*502\/(-12). Let d = 84 - u. Does 10 divide 20\/(d - -2) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 44443230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 17 = 2*i. Suppose 0 = 5*k - 8 - i. Suppose 4*c - 2*t = 5 + 105, 5*t = -k*c + 115. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10115\/(-1785)*(-6)\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-5\/4)))\/(d*d**4))\/(((d\/(d\/d**(-3)*d))\/d)\/(d*d**(4\/3))))\/(d**(-1)\/(d*d\/(d*d**(-2\/13)*d)))**(-44) assuming d is positive.\nAnswer: d**(-7751\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4674 - -9351\/2. What is the smallest value in 3, 4.77, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**4 - 9413*i**3 + 3804*i**2 + 1?\nAnswer: -48*i - 56478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0044 + -5.0044. Which is the smallest value? (a) -0.03 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3080 and 2125956?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -8967\/7208?\nAnswer: -8967\/7208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*z + 3344 = 6686 - 3342 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89199*c**3*d**3 + 2*c**3*d - 28*c**2*d**2 - 13*c*d**2 - 2*d wrt d.\nAnswer: -535194*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9828)\/(-693) + ((-48)\/22 - (2 - 4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9655*n**3 + 23 - 23 - 1926*n**3.\nAnswer: 7729*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = 5*l + 2*x, 0 = 4*l + 3*x + 12. Solve 4*w + l*w - 2*i + 18 = 0, 5*w = i - 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173938 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -30 + 20 + 24 - y**2 - 4*y. Let i be m(-7). Suppose -9 = -6*b + 3*b, -1 = -2*f - b. Put f, i, 5 in increasing order.\nAnswer: i, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342420319?\nAnswer: 239, 919, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 48 = -2*i + 2*u, 4*u - 86 = 5*i. Let r be 0 + ((-4)\/i)\/1. Put 4, r, -5 in ascending order.\nAnswer: -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 665 (b) 0.5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o + 2*k - 26, 0 = 4*o - k - 29. Sort o, 26, -4.\nAnswer: -4, o, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595960 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.06 - -0.06. Let o = 6 + d. Let m = -4 - -1. Is o equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -93026.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*1*sqrt(187))\/(sqrt(11) - (sqrt(11) + sqrt(1331))*-2).\nAnswer: -4*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10984 - 10984.119. Which is bigger: z or -6.9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**8\/336 - o**4\/12 + o**3\/2 - o**2. Let q(j) be the first derivative of v(j). What is the derivative of q(i) wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhhwwcwwwwhcchwwww. What is prob of picking 1 h and 1 w?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3321010 divided by 55\nAnswer: -60382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1706 or -3228?\nAnswer: -3228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71165, 99564, 146897, 213164, 298365, 402500?\n\"Answer: 9467*w**2 - 2*w + 61700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.12 - 0.12. Let c = a + -4. Let w be ((0\/(-2))\/(-3))\/1. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-33)\/(-4)))\/((-2)\/3). Let m = -955\/33 - 52\/11. Let d = m + 34. What is the biggest value in -4\/3, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 9}. What is prob of sequence txtt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and 17.2.\nAnswer: -877.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a. Let r(v) = -8*v. Let t be 66\/(-1*15\/(-5)). Let l(q) = t*r(q) + 6*c(q). Let x(u) = -5*u**2. What is x(l(d))?\nAnswer: -1280*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16439578?\nAnswer: 2, 17, 29, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/18 and 83\/230692?\nAnswer: 2076228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1862, 3709, 5556, 7403, 9250, 11097?\n\"Answer: 1847*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -21*i + 19*i - 267 + 267. Let r(u) be the first derivative of 21*u**2\/2 + 3*u + 2. Determine s(r(o)).\nAnswer: -42*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - 33. Let r be x(24). Let h = r - -148. Let n(o) = 2*o - 3. Let m(c) = -c + 2. What is h*m(u) - 4*n(u)?\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2989*j*w**2 - 41719*j*w - 129*w**2 + 44 wrt w.\nAnswer: 5978*j - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 5, 5617, -1591 in ascending order.\nAnswer: -1591, -3, 5, 8, 5617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 2, -2, 7\/6, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 5 - -5) + (-7 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -69\/52, -0.1 in decreasing order.\nAnswer: 2, -0.1, -1, -69\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 13*o**2 + 2 - 31*o**2 + 8*o**2 as n*o**2 + j*o + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 4*m**2 - 47*m + 108. Let u(s) = -3*s**2 - 48*s + 108. Let c(h) = 3*j(h) - 2*u(h). Factor c(a).\nAnswer: 3*(a - 3)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/5 + 45103*q**3\/5 - 360776*q**2\/5 + 144304*q = 0.\nAnswer: 0, 4, 45095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 1)*(-3)\/6. Let z(m) = m**3 - 39*m**2 + 5*m - 191. Let l be z(39). Suppose o = -l*u + 280 + 56. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + (sqrt(28)\/sqrt(4))**2*-1 + 2)*2.\nAnswer: -12 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + 5*g = 85, 3*k - 4*g + 64 = 0. Which is the nearest to 0.1? (a) -4 (b) 13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3852600504 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 104. Let u(r) = r**2 + 5*r + 8. Let d be u(-6). Let y = d - b. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81982561.\nAnswer: 81982561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4308*i. Let b(z) = -z - 7*z + 6*z + 71 - 71. Calculate f(b(t)).\nAnswer: 8616*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -7, 607966 in ascending order.\nAnswer: -7, -2, 0, 2, 607966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t - 3*t + 5*t - t. Suppose -2*i = -0*p + 3*p - 15, i - 3*p = -6. Let s(u) = -6*u**2 + 2*u**2 + i*u**2. Determine g(s(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85\/2 + -41. Which is the nearest to 0? (a) g (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9 = 0, 2*m + 6 = 4*w + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-40)\/32) + -2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -8*(-33)\/(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:20 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, 5.\nAnswer: 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 0*f**2 - 5*f**2)*(3*f + 2*f - 4*f) + (2*f - 7*f + 3*f)*(6*f**2 - 14*f**2 - 14*f**2).\nAnswer: 43*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 14*c + 10. Let o(r) = r**2 - 3*r + 2. Let i be 3\/(-2) + 31\/2. Determine i*o(a) - 3*h(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/12 + 1625*i**2\/2 - 306*i. Let o(g) = -g. Determine o(d(t)).\nAnswer: t**2 - 1625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/3 + -4. Let g be -1 + -7*(-2)\/10. Which is the closest to 0? (a) g (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1761.1, 0.5, 22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 9*a**3 - 6*a**3 + 0*a**3 + 7 - 5*a**3 in the form n*a**3 + f*a + h + d*a**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m - 1645. Let c(u) = u - 411. Let f(v) = 9*c(v) - 2*z(v). Calculate the remainder when 67 is divided by f(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 24 (b) -0.3 (c) -0.0782\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2 + 34503*y - 4636920 = 0.\nAnswer: 136, 11365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 85955*q**2\/2 + 918765424*q + 205151619712.\nAnswer: (q - 43088)**2*(q + 221)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*j - 23*j - 8300. Calculate the highest common divisor of 1079 and j.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let g be -1 + -1 - (-2 + -2). Let m be 885\/35 + g\/(-7). Solve s*x + m = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Let o be -3 - -4 - v - -5. Suppose 2*t + o = 4*t. Solve -h - d - 3 = 0, 0*d + 4*d = t*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(9*-1*(-28)\/(-42))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425556263 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times -1.3?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*c = 4*c + 1235, -1238 = -s + c. Suppose 0 = 8*y - 415 - s. Suppose 0*i - 164 = -4*t - 2*i, -5*t - 3*i = -y. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 2*l - 16, -3*d - 22 = -5*l. Let g be 6 - 3866090\/585585 - 2\/d. Let s = g - 2\/1859. Find the common denominator of s and 13\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22640 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.2, -334, -2\/9, 0, -0.054, -5, 2\/3?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkz when three letters picked without replacement from rrkbzzkbkzzkrkrczb?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430507521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0092114872 to four decimal places.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 - 17899*d\/6 - 1612247\/3.\nAnswer: -(d + 182)*(d + 17717)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/3766592 and 31\/13.\nAnswer: 48965696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 229077125.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1302811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196000 divided by 5600.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/100*18\/(-20))\/((-4305)\/(-308) - 14).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342933.2 years to centuries.\nAnswer: 3429.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86258167, 172516335, 258774503?\nAnswer: 345032671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 1539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 334929301 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676954 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.38, 3, 1, -2\/71?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(144\/20)*-2*10\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64012 is divided by 98?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.2. Let a be (1\/(-4))\/(63\/280*5). Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.858367m in millimeters?\nAnswer: 2858.367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1)\/z))**10*z*z**(-2)*(z\/(z\/z**(-5\/4)))\/z assuming z is positive.\nAnswer: z**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -3 (c) 26 (d) 3\/89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517299\/(-5)*(-13)\/(507\/65) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 10*p - 48. Let u be y(-6). Solve -2*q - 2*q - 2*w + 4 = u, -5*q + 4*w = 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-9)\/(-36) + (-540)\/(-48)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.29? (a) 0.04 (b) 2\/23 (c) 151 (d) -4\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*a**3*b**2 + 7*a**3*b*x + 986*a**3*b + a**3*x + 12*a**2*b**2*x - 8*a + 4111*b**2*x + b*x + 19*b wrt b.\nAnswer: 426*a**3 + 24*a**2*x + 8222*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/(2\/(-10)). Let d(s) = -3*s - 10*s - 5 + 2*s - s**q. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762377?\nAnswer: 7, 11, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 144, -5 in increasing order.\nAnswer: -5, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from eejjejeeeejjhejjhje.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 16. Let a be y(4). Suppose -f = -a*b - 693, -4*b + 160 + 509 = f. List the prime factors of f.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1033.1275 * 0.03\nAnswer: -30.993825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -342 + 349. Suppose -5*t = -r*m + 6420, 2*m - 2*t - 2752 = -m. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**3 - p**2 - 3*p + 17. Let a(w) = -w**3 - w**2 - w + 1. Let g(o) = -5*a(o) + d(o). Let s be g(-4). Sort 0.2, s, -1\/6 in decreasing order.\nAnswer: s, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + 103. Suppose -2*b - 51 = -w. Let t = b - 22. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5330053\/12 - 26090574071\/58740. Let d = u + -2\/979. Let n be ((-2)\/(-30))\/(1\/(-2)). Put 0.07, n, d in increasing order.\nAnswer: n, 0.07, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*6\/22464*-72\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31033 (base 4) to base 11\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10\/9 + 16\/9. Suppose 27*l = 20*l + 35. What is the nearest to 1 in l, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, g: 1, u: 1, b: 1, c: 2}. Give prob of sequence cbn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6193*z**3 - 6205*z**3 + 18769*z**3 - 6370*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289\/2085 + -10\/139. Sort 4, -4, v, -3 in increasing order.\nAnswer: -4, -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -1.9. Let j = -24 - -20. Let f = 0 - -1. What is the closest to f in j, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + r**3 + 60 + 55.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 1, l: 7, u: 10}. Give prob of picking 1 z and 2 l.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -31*f + 29*f + 4*l, -f + 1 = l. Solve -3*o - 78*o + 81 = f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -580648 + 1051648. Round q to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106520543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/9 - 40829152*d\/9 - 208377456629888\/9 = 0. What is d?\nAnswer: -10207288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5920900202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -811.74278 + 811.7. Round k to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z = y - 103, 0 = 4*y - 2*z - 312805 + 312819 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let c = m + -1.6. Put 5, -0.4, c in decreasing order.\nAnswer: 5, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47894 + -47892. Let d(b) be the first derivative of -w*b - 52\/3*b**3 + b**2 - 31. What is the second derivative of d(r) wrt r?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*p - 181*p + 45*p + 12.\nAnswer: 181*p + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 4 - 4)*(5*o - 2 + 2).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02361380461 to six decimal places.\nAnswer: 0.023614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let c be a(3). Suppose 34*g = -n + 38*g - 9, n = 3*g - 6. What is the third derivative of c*k**n + 2*k**3 - 2*k**3 - 5*k**2 - 2*k**2 wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164\/20 + (-37)\/185?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*h)*(0 - 4 + 3)*(24 + 17 - 14).\nAnswer: -108*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86, -82, -78, -74?\n\"Answer: 4*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/32*(-8)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.26. Let o be (-1)\/15 + (-20)\/60. Put 0, o, 2\/21, u in decreasing order.\nAnswer: 2\/21, 0, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*u + 33207, -29*q + 27*q + 4*u + 22150 = 0. What are the prime factors of q?\nAnswer: 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*w + 24 = 0, -3*z - 33*w + 21 = -29*w. Let t(p) be the third derivative of -1\/3*p**z + 9*p**2 + 0 + 1\/24*p**4 + 1\/60*p**5 + 0*p. Solve t(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l + 3*i = 8, -3 = l - 4*i. Suppose v - 11 = -l. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 23*p = -15084. Let g(j) = 833*j - 1706*j + p*j. Let y(w) = -w. Determine g(y(o)).\nAnswer: 35*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**7\/56 - c**6\/20 - 9*c**5\/80 + c**4\/4 + c**3\/2 - 18*c. Factor z(y).\nAnswer: 3*y*(y - 2)**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -38*x**3 + 5*x**2 + 5. Let j(k) = -75*k**3 + 9*k**2 + 9. Calculate 5*j(z) - 9*w(z).\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 192153 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.569362 hours to milliseconds.\nAnswer: 34449703.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 3\/2, 2\/3, -3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n + 3*v - 7, -3*v = 3*n - 9. Is 3 a factor of (-94)\/(-8) + n\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**12)\/v)\/v*v**8\/v)\/(v**(-9\/2)\/(v\/v**(-10))) assuming v is positive.\nAnswer: v**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 + 0 = 0. Let r(s) = -4*s**2 - 5*s + s - 3*s**y. Let z(d) = d**2 - 6*d + 4*d - 5*d**2. Give 3*r(x) - 5*z(x).\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(19\/((-2090)\/(-20))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 126 + 78. Let q be (-2)\/(3 + p\/(-11)). Calculate the highest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4083 is divided by 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 219978504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*l**3*q - 47*l**3 - 2*l**2*q + 28045*l*q - l wrt l?\nAnswer: -174*l*q - 282*l - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71100 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -697*r**6 + 264*r**2.\nAnswer: -83640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.8, 223.33376 in descending order.\nAnswer: 223.33376, -0.3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5\/2 - 243*p**4\/2 + 10197*p**3\/2 - 120153*p**2\/2 + 227601*p.\nAnswer: -3*p*(p - 11)**3*(p + 114)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38868 rounded to two decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h - 1\/24*h**4 + 7\/20*h**5 + 0 - 1\/6*h**3 - 3*h**2. What is the units digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 12, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10142 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180094658?\nAnswer: 2, 90047329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u - 32. Let q be o(-8). Suppose 40*c - 33*c - 14 = q. Solve c*k - 1 + 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16155 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 10*c = 14*c - 330 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + l + 8121, -h - 2*l = -3*l - 2031. Suppose -22*m + h = 7*m. Calculate the greatest common factor of m and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 35388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81297737?\nAnswer: 97, 113, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2112*x**2 + 66*x. Let z(c) = -162*c**2 - 5*c. What is -5*f(y) - 66*z(y)?\nAnswer: 132*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 11:11 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 516992 to the power of 1\/2, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 223305419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.57 - -0.13. Let z = -15.01 - -14. Let t = -1.11 - z. What is the nearest to t in k, -2\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/51)\/(-1*4\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(0 - (-6)\/(-5)). Suppose v - 4*v + a = 0. Let o(n) = 3*n + 2. What are the prime factors of o(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*o - 4*w, 4*w - 9 = -o + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81263.9 tonnes in micrograms?\nAnswer: 81263900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1313230330 + -3?\nAnswer: 1313230321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeuueeuu. Give prob of picking 1 u and 1 e.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 2 + 0*n**2 + 0*n**4 + 0*n**6 + 34\/3*n**3 - 1\/4*n**5 + 10*n + 1\/42*n**7. Find the second derivative of c(g) wrt g.\nAnswer: 20*g**3 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -2, -0.1, -21, -138 in decreasing order.\nAnswer: 3, -0.1, -1, -2, -21, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 373, 195, 3, -209, -447, -717, -1025?\n\"Answer: -x**3 - x**2 - 168*x + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 21*r - 16. Let a be j(8). Let y be (-9)\/a - 239994\/16. Round y to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/765395 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 413502.898 to the nearest one thousand.\nAnswer: 414000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 16. Let u = 2 + 9. Calculate the remainder when u is divided by j(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1057*t - 954. Let k(m) = -1055*m + 956. Let w(u) = -2*f(u) - 3*k(u). Differentiate w(z) with respect to z.\nAnswer: 1051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49.03 or -105.5?\nAnswer: -49.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/19)\/(a**(1\/22)*a)*(a*a**(2\/41))\/a**20)**(-2\/167) assuming a is positive.\nAnswer: a**(337291\/1431023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1845*v + 5. Let m(a) = -1846*a - 4. Give -3*m(h) - 2*r(h).\nAnswer: 1848*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 - 30*a\/7 - 432.\nAnswer: (a - 72)*(a + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 534390*s - 534239*s + 14949 for s.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9871, 39477, 88819, 157897, 246711, 355261?\nAnswer: 483547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -3. Let d = z - -4. What is the third smallest value in 5, -5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256860818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35474, -35464, -35448, -35426?\nAnswer: -35398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 15704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, b: 4, i: 4}. Give prob of sequence ibrr.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/7 (b) 3 (c) -2\/9 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.809071 centuries to millennia.\nAnswer: 0.9809071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than 2663209.7?\nAnswer: 2663210.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (1 - 10))*(116\/42 + -3).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.000034 - 36. Round l to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 174096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 10 + 50 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y + 92*y + y + y**2 + 3*y**2 - 47*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59334 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m**4 - 4*m - 5. Let s(t) = -10*t**4 - 5*t - 5. Let j(k) = -5*f(k) + 4*s(k). What is the derivative of j(y) wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 10*s - 99. What is the second biggest value in s, 4, -3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/((4 - -2 - 7)\/(-22)) a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2 + 3119*m + 1119 with respect to m.\nAnswer: -2*m + 3119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 5, e: 1, c: 4, a: 2}. What is prob of sequence kc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2938*f + 2977*f - 151 - 5896*f as g*f + t and give t.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 57*h**2 - 41*h + 36. Let r be g(-57). What is the highest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6)*0*1. Let s be 4\/10 - 11\/((-330)\/108). Suppose -j - 3*y + 4 = -k, s*j + 26 = 2*y. What is the biggest value in -0.1, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (687\/(-9))\/(2\/(-3)). Let w = 122 - v. What is the common denominator of (2\/(-9))\/(2013\/252 + -8) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*b + 525*b + 64 = -3*f, 0 = -56*f - 3*b - 1338 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7532, -15792, -24758, -34424, -44784, -55832, -67562, -79968?\nAnswer: -93044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75899154 divided by -63942?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*l - 3*z + 29, -2*l = -5*z + 27. Let n = l - -10. Is (-3)\/9 - 14\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 - -5) + (138 - 124)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + 1. Suppose -8*z + 4*z = -j. Let m = -5 + z. Solve -4*q = 2*p + 6, -m*p + 0*q = -q - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3804319438 - -6?\nAnswer: -3804319432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3480b (base 15) to base 3.\nAnswer: -22111100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 2, d: 1, k: 6, s: 6}. Give prob of picking 2 y.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/(2105\/(-842))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 - 6\/2. Let r = 5 - v. Suppose -2*x + 5*x - 24 = r*o, -4*x + 5*o = -34. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1814276 + 2?\nAnswer: -1814274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 3158173241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19bfd0 (base 16) in base 8?\nAnswer: 6337720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654756 divided by 272.\nAnswer: -163689\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5264*m**2 + 10746*m**2 - 5978*m**2 + (0 + 1 - 3)*(-m**2 + 6*m**2 - 2*m**2).\nAnswer: -502*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -3 + (-2 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 684*f + 58482.\nAnswer: 2*(f + 171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 - 48*u**2 + 7*u - 18. Let p be j(-7). Let y(x) = -12*x - 203. Give y(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 43 = 3*o - 192, -5*t + 20 = 0. Solve f + o*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.539 times -5743\nAnswer: -3095.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15385 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22371, 22352, 22299, 22194, 22019, 21756, 21387, 20894?\nAnswer: 20259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (232*123\/2910672)\/(((-2)\/(-36))\/1)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 + 478 = 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8*x + 160 = 0. Suppose 9*z - x = 7*z. Suppose -v - z = -3*v. Is v less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 8:36 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 31*a**3 + 2473*a**2 - 554*a + 576. Calculate z(-80).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**3 - 16*y**2 - 45*y + 142. Determine l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1633, 2002, 2997, 4930, 8113, 12858, 19477?\nAnswer: 28282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.3743 - 3.2743. Sort u, -1\/3, 4\/7, -0.4, -201 in decreasing order.\nAnswer: 4\/7, u, -1\/3, -0.4, -201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j + 38. Let p(d) = 4*d - 45. Is p(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -354 - 981. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u = 18. Let k(d) = 14*d - d**2 - 11*d - 8 + 0 - 10*d. What is k(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95595.\nAnswer: 3, 5, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297*c**3*t**2 + 176*c**3*t + 17*c**3 + 22*c**2*t**2 + 697*c**2*t + 2*c*t**2 - 4*t wrt c.\nAnswer: -1782*t**2 + 1056*t + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3631*q**2 + 482*q**2 - 118*q**2 + 747*q**2 + (-4 - 2*q + 4)*(-q - 2*q + q) - 4*q**2 + 3*q**2 - 2*q**2.\nAnswer: 4743*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/4 + 705039*f**2\/4 + 124267530207*f\/4 - 869907258703\/4 = 0.\nAnswer: -352523, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(68)\/(sqrt(100)*-2)*5 - (-2 + (-5*(1 + sqrt(68) + -3 + sqrt(68)))**2).\nAnswer: -6898 + 795*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gquwgq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 467 - 37 = 0. Let u = g + 315. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 - 603*n**2 + 882*n + 3. Let s(m) = -9*m**3 - 1207*m**2 + 1750*m + 6. Let p(d) = 6*s(d) - 11*t(d). Find the second derivative of p(b) wrt b.\nAnswer: 6*b - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m. Let g(k) be the first derivative of -2*k**3\/3 + 14. What is o(g(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01029 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 - 15 = -2*v, -3*v = 2*m - 5. Put 26, m, 0 in decreasing order.\nAnswer: 26, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 67 (c) -2 (d) 4555 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.1 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 116.67289 and 537?\nAnswer: 420.32711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5550 (base 7) in base 4?\nAnswer: -133023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 9. Let i = -21 - -23. Let v(k) = 3*k - 4. Give i*u(x) - 5*v(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -125. Suppose 6*q = -5*q + y. Suppose 0 = 4*n + q*x - 2544, 4*n - 1719 - 841 = -x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*y = 3, 2*y + 4 = t + 2. Let j = 8 + -8.5. Which is the nearest to t? (a) 5 (b) -1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -322807.2857 to the nearest 100.\nAnswer: -322800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 28*i - 36*i. Solve 0 = 4*y - y - 2*c + i, 2*y = 2*c - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.23 - 0.02. Let h = 0.84 + -0.04. Let w = h + s. What is w rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4337 + 2*x + 4294 - 5*x in the form o + y*x and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98.00248 + -98. What is p rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4544 + -4529. Solve -3*z = -o*z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 84. Suppose -5*q = -4*m - 29, 5*q - 27 = y*m - 4. Let u = 5 - m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 12:03 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -0.2, -0.1, 84, 4 in decreasing order.\nAnswer: 84, 4, -0.1, -2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3 and 231\/36 - (7 + -5 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/((m\/(m\/(m\/((m*m**(4\/19)*m)\/m)))*m*m)\/m*m*m*m))**37 assuming m is positive.\nAnswer: m**(851\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46102, 43792, 41494, 39214, 36958, 34732, 32542?\n\"Answer: i**3 - 2317*i + 48418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -271628*r + 204378 wrt r.\nAnswer: -271628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 5\/4, 22, 2\/503?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435184013?\nAnswer: 3, 17, 28140863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 425 = -2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 5*m**2 + 2*m - 45. Let i be t(6). Suppose 5*k = -4*g + 66 - 22, -4*g = -i*k + 20. Which is the third biggest value? (a) 1\/3 (b) k (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*k**2 - 66 - 118*k**2 + 84 in the form q*k + n*k**2 + l and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + -4*((sqrt(1053) + (sqrt(1053) - -2*sqrt(1053)*-1) - ((sqrt(1053) - sqrt(1053)*-1) + sqrt(1053) + 1)) + 4)) + 2)**2.\nAnswer: -22464*sqrt(13) + 2426788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208\/3322*110\/300?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 - 0.31. What is the biggest value in k, 0.35, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2043620 divided by -2\nAnswer: -1021810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0)**(-43)\/((t**(-2\/3)*t)\/t**6) assuming t is positive.\nAnswer: t**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-24)\/((-3)\/(-1)))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8859*h*k**2 - 313*h + k**2 - 192 wrt k.\nAnswer: -17718*h*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 27*p + 7 - 3.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*y + 7\/4 - 1\/4*y**2 = 0. Calculate y.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 78187, -4, 3 in descending order.\nAnswer: 78187, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 228*i - 20980. Give g(92).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 14355191.\nAnswer: 43065573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 91*u**3 - 195*u**2 + 4*u - 5. Let j(q) = 137*q**3 - 293*q**2 + 6*q - 8. Determine -5*j(t) + 8*y(t).\nAnswer: 43*t**3 - 95*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*s + 44 = 0, 5*s = m - 5*m + 69. Calculate the remainder when 27 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((208\/(-8))\/((-96)\/(-12)))\/(1\/12).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 24 = 2*q, -5*h - 43 = -4*q - 0*q. Solve -q = -5*t - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35 + 52*b - 68 + 28 + 19 wrt b.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4. Let k(m) = -m + 4. Let q(d) = -3*j(d) - 4*k(d). What is q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -144169 - 31*d - 144303 + 288459. Let x(u) = 5*u + 2. Suppose 0 = -4*b + 2*b - 12. Give b*v(o) - 39*x(o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 35 and -1.16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9359895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108217 is divided by 2299.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 395\/18 (c) 0.11562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1767 - 1767 - 18*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*a + 6*a - 108, 5*a - 76 = -2*l. What is the highest common divisor of l and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose 0 = -b*m + 2*m + 5. Solve 4*j = 3*h - 8, h = m*h - 2*j - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - sqrt(270)*3*2)\/sqrt(6))\/(sqrt(324)*3 + (sqrt(144) - sqrt(9))*-3)*5.\nAnswer: -25*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/3031 or -1?\nAnswer: 18\/3031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = 0. What is the second derivative of z*x**2 - x**2 - x**2 + 7*x wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001204408 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 14*r + 15. Let n be h(-9). Let o be 4\/30*n\/20. Which is the third biggest value? (a) -1\/10 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 13. Let l be x(9). Suppose -k - 4*k + 455 = 5*j, -j + l*k + 85 = 0. Suppose 6*q - j = 3*q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 1 (c) 0 (d) -5\/3 (e) -0.1 (f) 16 (g) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -529216 + 5?\nAnswer: -529211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 6*t + 10*t)*(8 - 8 - 194*t).\nAnswer: 582*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8700, -8662, -8626, -8592?\n\"Answer: -v**2 + 41*v - 8740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113907 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (11 - (-2 - -18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/17 (c) -1542 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {x: 2, t: 2, d: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300) + -1)**2 + sqrt(65)\/(sqrt(10)\/sqrt(2)).\nAnswer: -39*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1469688?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0147 + -0.0066. Let a = p + 0.0019. Let z be (-2 - (-4)\/3) + 0. Do a and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 170 = 200. Let w = n + -52. What is the smallest common multiple of w and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 21 = 3*t + v, 2*t + 4*v + 14 = 0. Let k(w) be the second derivative of 2*w**3\/3 - 2*w**2 + 22*w + 29. Calculate k(t).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 1. Let j be p(-6). Suppose -321*b = -319*b. Solve b = j*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -147*f**5\/4 - 28623*f**4\/2 - 2209149*f**3\/4 - 7778283*f**2\/2 + 2358957*f - 343530 = 0.\nAnswer: -347, -33, -10, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099\/(-154) - ((-105)\/20)\/((-3)\/(-4))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/20 and 13\/184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a25680 - 2?\nAnswer: -3a25682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/7 - 6568*x**3\/7 + 13120*x**2\/7.\nAnswer: 4*x**2*(x - 1640)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 31, -3 in increasing order.\nAnswer: -3, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*x**2*y + a**3*x*y**3 + 3*a**3 - a**2*x**2*y**2 - 69*a*x**2*y**3 + 3*a*x*y**3 wrt a.\nAnswer: 6*x**2*y + 6*x*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 3572.\nAnswer: 10716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 6*f**2 + 9*f - 10. Let a be n(7). Suppose -7*l + 3 = -a*l. Let j be l\/((-27)\/(-6) + -4). Solve 13 = j*o - 3*u, -4*o = -5*o - 4*u + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*t + 12, -535*t = -2*f - 531*t - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/70)\/(((-16)\/(-6))\/(110\/33))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58372871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, -0.2, 74\/7 in increasing order.\nAnswer: -4, -0.2, 3\/2, 74\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let a(v) = 4*v - 1. Suppose 509 - 113 = 22*f. Determine f*p(u) + 4*a(u).\nAnswer: -2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvyyy. What is prob of picking 1 v and 3 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4 - 5*w - 7 - 3 - 27*w. Let m(b) be the first derivative of -b**2 + 8230. What is m(v(r))?\nAnswer: 64*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g. Let l be k(-1). Let h be (l\/10)\/((-3)\/(-15)). Let v(p) = -8 - p**2 + h*p + 3 - 1. Give v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400691.9 + 137068.\nAnswer: -263623.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -32. Suppose -3*t = 3*f - 2*t - 245, 5*t + 251 = 3*f. Let l = f - 52. Calculate the highest common factor of l and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.601 to 1 decimal place.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:54 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-20)\/(-25))\/(1\/5). Suppose -2*l - 2*t = 72, -4*l + 3*t - 131 = -h. Let p = -18 - l. What is the greatest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 10. Let c be i(-8). Solve -4*n - 18 = 2*y, 3*n - 5*y + c*y = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:50 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 383515.2 hours in days?\nAnswer: 15979.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 s when three letters picked without replacement from {s: 4, l: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373561?\nAnswer: 59, 57179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/10 - 7*x**5\/20 - x**4\/4 - 7*x**2. Factor l(g).\nAnswer: 3*g*(g - 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 z, and 1 q when four letters picked without replacement from {s: 1, a: 1, z: 2, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-nine halves of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -684096 divided by -7\nAnswer: 97728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 529 - 452. What is the least common multiple of d and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 3*q - 2. Let l be r(2). Which is bigger: 5\/9 or l?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.72 - 0.7. Let g = 0.03035768 + -0.010358. Let f = v - g. Round f to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275665495 divided by 39380785?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 71, 1, -10024, -5, -4, 3 in descending order.\nAnswer: 71, 3, 2, 1, -4, -5, -10024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 10. Suppose s = -t*s + 4. Solve -6 = 5*u + s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2. Let u(x) be the first derivative of -8*x**3\/3 - 5. Let g(j) = 5*l(j) - 6*u(j). Factor g(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 16*i - 6890 = 254*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16626 divided by 25.\nAnswer: 16626\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert c45d6 (base 15) to base 2.\nAnswer: 10010111111011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 221*r**2 + 46*r + 38. Is w(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**3 + 7*y**2 - 8*y - 1. Is f(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*g = -58*g + 7039. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 7*i**2 + i - 4. Calculate r(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + m**3 + m - 6*m + 5*m.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*m - 1018 = 0, 296*m = -2*b + 297*m + 1033. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*t = -3*i + 193*t + 11, 5*i + t - 16 = 0. Sort -3, -6, 5, i.\nAnswer: -6, -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose -4 = -d - l. Let q(h) = -5*h**3 + 2*h**3 + d*h**3 + 4*h**2 - 5*h**2. Calculate q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(44)\/sqrt(4))**2.\nAnswer: 8*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261 + 366. Let q(o) = -100*o - 9 - h*o + 301*o - 105*o. Let m(v) = -4*v - 4. Determine 5*m(y) - 2*q(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/48 and -23\/122.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 17*m + 44*m = -112, 3*j = -18*m + 3 - 81 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*s + 10 = 0, -2*i - 4*s - s + 8 = 0. Suppose i*d - 200 = -d. Let n = -48 + 78. What is the greatest common factor of n and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2713.3 * 5.0771\nAnswer: 13775.69543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*v - 87, -335908*f + 335912*f - 75 = -v for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c. Let t(j) = -j**2 - 3*j. Give -5*m(i) + t(i).\nAnswer: -6*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -1 - -2 - -29. Suppose -5*u - 3*f - l = f, 0 = 3*u - 2*f + 13. Let y = u + 6. What is the smallest common multiple of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3844544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -12*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/20))**(2\/17) assuming u is positive.\nAnswer: u**(3\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 29*m**3 - 11*m**2 + 6*m - 117. Is g(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzy when three letters picked without replacement from {g: 2, z: 6, y: 9}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296 divided by -4.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1436 greater than -1439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48870025 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2239324010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5035 is divided by 614?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*w = -3*w - 483, 105 = -x - 5*w. Let y be 4\/6 + x\/(-36). Suppose -2*u + 8 = 2*u + 4*l, 4*u - l = 13. Is y at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287*h**2*l**3 - 1542*h**2*l - 79*h**2 - h*l**3 - 207*l**3 + 2*l**2 wrt l?\nAnswer: -1722*h**2 - 6*h - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7567566497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 10*y**5\/9 + 45116*y**4\/9 - 470128*y**3\/9 + 724192*y**2\/9 + 1012832*y\/3 - 144704 = 0.\nAnswer: -4522, -2, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171\/2 - 87. Let h = x + 19\/10. Let m = -0.23 - 0.07. What is the nearest to h in m, -5\/4, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91978 (base 13) to base 15.\nAnswer: 52461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-36) - 151\/(-9). Let t(j) be the third derivative of j**4\/24 + j**3\/6 - 2*j**2. Let u be t(2). Solve u*w - o = -12 + 25, -q = -4*w + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 7. Let y be h(8). Solve -b - y = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 28\/3. Let w = 8 + -11. Let k = -2.8 - -3. What is the biggest value in w, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -55*i**2 + 5*i. Let p(k) = -192*k**2 + 18*k. Determine -5*p(t) + 18*y(t).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-12)*96\/280?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -97*(-2 - -3) + -1 - -9. Are -59 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86686.8 millennia in centuries?\nAnswer: 866868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 544 = 686 + 488 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = -851 + 491. Solve 5*w + 8 = z - 21, w = -5*z + h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.1. Let v = 4060.43 + -3703.4. Let h = 357 - v. Which is the second biggest value? (a) m (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -904)*(2 + 25\/(-10)). Suppose h = 7*q - 549. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 4*y - 16 - 29, -5*o + 2*y = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1330, 2660, 3988, 5314, 6638, 7960?\n\"Answer: -r**2 + 1333*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5, 4, -384, 12\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 + f + 1. Let v be x(-1). Let n be (-1 + 195)*-15*(-3)\/18. Let a = n + -27159\/56. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 14*o - 21. What is the units digit of q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (79 - (49 - 36)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.02, -6, 7, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 12) in base 9?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 3*t + 1. Let y be q(4). Let f(r) = -2*r + 1. Let w(i) = i**3 + 5*i - 2. Give y*f(m) + 2*w(m).\nAnswer: 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 161, -0.043, -88?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -33*q**3 - 226746*q**2 - 5444193*q - 5669316 = 0.\nAnswer: -6847, -23, -12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/3 - 1417*f**4 + 4317743*f**3\/3 + 430537903*f**2\/3 - 591276192*f + 1791031580\/3 = 0. Calculate f.\nAnswer: -95, 2, 2171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(180) + (sqrt(180)*-2*-6 - sqrt(180))**2)*6.\nAnswer: 36*sqrt(5) + 130722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 5*g - 3. Let u be k(3). Factor 0 - 1 + 1 - 2*s**2 + 2*s**u.\nAnswer: 2*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -35. Suppose -l + 39 = -v - f, 2*v - 40 = -l. Suppose -2*w - 4*z = -l, 6*w - 2*w - 73 = z. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*y + 2*y**2 + 5*y)*(1 - 1 - 2) + y**2 - 8*y**2 + 5*y**2)*(-1 + 2 + 1) + y**2 - 3*y**2 + 3*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 7*x - 54 = 0. Let o = 12 + x. Suppose -u + o*p + 10 = 0, -3 = -p - 5. Solve -k - 3*t = 12, -4*k + t + u - 13 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109246 is divided by 12135?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-70))\/((-17)\/7 - -1). Let t be (-4)\/(-10) + (-4)\/10. Put 2, r, t in ascending order.\nAnswer: t, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/17 - 912*c\/17 - 1832\/17 = 0.\nAnswer: -2, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/20 - 573*s**4\/2 + 656658*s**3 + 29*s**2 + 9*s. Solve c(w) = 0.\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3\/6 - 9*r. Let c(q) = -165*q. Give c(n(d)).\nAnswer: -165*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2\/3 + 5312*m\/3 + 1107484\/3 = 0. Calculate m.\nAnswer: -1069, -259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -180592.\nAnswer: -7946048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235 + -27. Suppose 2*b = -2*b + r. Let w be b - ((3 - -1) + -2). Calculate the highest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 25 = 15*w + b - 4*b, 9*w + 84*b - 813 = 5*w - 31*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/55 (b) -2\/97 (c) 0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from eewipmpwmwpeqie.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5416 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-21)*1 + 266\/(-49). Let f(u) = 2*u**2 - 2*u - 16. Calculate the remainder when 306 is divided by f(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515422.23 times -1\nAnswer: -515422.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*n - 20, -4*r = 4*n - n + 15. Let s = 12\/7 + -3\/14. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r - 130 = -76*r. Let p(z) = -14*z**2 - z - 12. Let q(i) = 5*i**2 + 4. Let f(a) = -6*p(a) - 17*q(a). Let g be f(5). Is g at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 6776.\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/((220\/(-528))\/((-1)\/(-44)))\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -226333 at most as big as -226353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -2\/39, 4, -1, -0.4, 0.75 in decreasing order.\nAnswer: 4, 5\/3, 0.75, -2\/39, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 55, 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 572 - 16*m**2 - 10*m**2 - 5*m**2 + 30*m**2 + 39*m - 4*m**2 wrt m?\nAnswer: -10*m + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 17*q - 17. What is the tens digit of c(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 5464.\nAnswer: 147528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 8. Let p(o) = -6 - 3 + 8*o - 4*o. Let a(d) = 4*p(d) + 5*t(d). Calculate a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 20. Let m be f(4). Suppose 3*c - m + 10 = 0. Calculate the remainder when 15 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1218.\nAnswer: -1\/1218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 - 2*i**3 - 3*i**2 - 8*i - 48. Suppose 2*z + o - 11 = 1, 4*z - 26 = -o. Calculate k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 41 = -2*n - 1 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**3 + 2*o**2 - o + 3. Let s be w(7). Let k = s - -4728. Let g = k - 5089. Is g 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 -105, -103, -101, -99?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19493*p**3 - 159*p**3 + 1777*p**3 - 12683*p**3.\nAnswer: -30558*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4133 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.271371 litres to millilitres.\nAnswer: 4271.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442444 and 64342.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - ((-595631)\/235 + 3\/5).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(o - 2*o + 3*o)*(-2*o + 0*o - 9*o).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3241*-1.\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29065.\nAnswer: 5, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**8\/20160 - a**6\/144 + 23*a**5\/60 + 35*a**2. Let s(t) be the third derivative of l(t). What is s(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532349 is divided by 314?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55719 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 6*s**2 + 3. Determine m(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -17. Let k be (-18)\/(-12)*j\/(-3). Suppose 3*q - k*o - 208 = -q, -51 = -q + o. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1305 and 0.4.\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 401075351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 22 = 3*n, 34*w + 641*n = 26*w + 643*n + 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 484\/(-660)*-10 + -11\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36840785 and 0.02?\nAnswer: -736815.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2*h**2 - 7*h - 9. Let p be n(-3). Determine s, given that 3*s - 9*s**2 + p + 2 - 3*s**3 + 4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**13)**43 assuming v is positive.\nAnswer: v**559","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2 + 464261544*r - 13471173827328996 = 0.\nAnswer: 58032693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:55 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4528 and 72847596?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (51 - (9 - -4)) + -28\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -179 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 10. Suppose 4*c = -a + 11, 5*c - 5*a + l = 2*c. Suppose c = 5*m - 8. Solve -5*s - 15 = m*q, -q - 3*s + 2 - 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143022141 + 2?\nAnswer: -143022134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 + t**5\/5 - 17*t**4\/24 - 11*t**3\/2 + 2613*t**2. What is r(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/83?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.95385 + 0.04615. What is the closest to 1 in k, -0.2, 76?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-3*t + 3*t - 2*t**5) + (t**3 - 2*t**3 + 0*t**3)*(-3*t**2 - t**2 + 2*t**2).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144.25 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74296 divided by 8.\nAnswer: 9287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*z = 15517 + 4778. What is the remainder when z is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -n - 129, -5*u - 162 = -3*n + 12. Let h(i) = i**3 + 32*i**2 - 32*i + 88. What is the remainder when 439 is divided by h(u)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.7598 millilitres in litres?\nAnswer: 0.6077598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -38*v + 1292. Determine h(36).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 252, 379, 506?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -42. Let y = 98 + -97.9. Sort 0.3, 3\/2, w, y in increasing order.\nAnswer: y, 0.3, 3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d8 + b?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 39*u**2 + 6*u - 241. Give w(39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 45 - 20 - 19 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*j + 378 - 1404 = 2966 + 2586 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -14. Let t(c) = -2*c + 2241*c**p + 4*c + 1 - c. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(sqrt(220)\/sqrt(4) - sqrt(55))\/sqrt(11))**2*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1332 and 2.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - g. Let r(s) = 4*s + 114. Let f(a) = 3*a + 91. Let u(m) = -5*f(m) + 4*r(m). Give -u(t) - x(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/25)\/(56\/210) - -23.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -21*d - 2. Let z(k) = k - 11. Let l be z(14). Suppose -4*y = -l*y + 2. What is the tens digit of c(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -14, 0.\nAnswer: -14, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 40*w**2 - 17*w + 204. Let v(q) = -54*q**2 + 23*q - 272. Give 8*v(k) + 11*z(k).\nAnswer: 8*k**2 - 3*k + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005347*f - 6771 = -1005236*f for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/4 - (1 + 1). Find the second derivative of -q**5 - 4*q**5 + q + u*q + q wrt q.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 96 = 14*n. Solve -2*t + 5*t = -n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 - 7*v + 3. Let o be k(-6). What is the remainder when (o\/(-6))\/3*-44 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-903)\/1032*(-12)\/(-14))\/(1\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/20)\/(-6) + 19\/5. Sort c, -4, -3, -1 in ascending order.\nAnswer: -4, -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 394*h**2 - 79*h - 75. Give d(-2).\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 40*d**2 + 906*d + 13. Is c(-23) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 547*d**3 + 63759*d**2 + 125873*d + 62662.\nAnswer: -(d - 646)*(d + 1)**2*(d + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - q + 0 - 12 = 0, -5*z + 22 = -3*q. Suppose 13 = -z*b + 21. Suppose -2*d - 295995 = b*s - d, 3*s - d + 222005 = 0. Round s to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1981, 1907, 1835, 1765, 1697, 1631?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2)\/((2\/20)\/(1080\/10800)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**1*n*n)\/(n*n**(1\/9))*n\/(n*n**4\/n)*n*n*n\/(n**1*n)*(n\/n**(-1\/11)*n*n**(-2\/5))**(-9\/7) assuming n is positive.\nAnswer: n**(-11383\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 19. Let j be u(-38). Calculate the highest common divisor of j and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14956, -60125, -135408, -240805, -376316?\nAnswer: -541941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -665a41 (base 15) to base 6\nAnswer: -252324454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtd. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3995545224.\nAnswer: 2, 3, 11, 17, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose -11 = -5*a + z, -a + 4*z - 4 = -p*a. Let b = 27 + -9. Solve -a*x + 2 - 4 = -5*f, -2*x + b = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-32))\/5)\/((-615)\/984).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*i - 32*i + 47*i - 1)*(1 + 0 - 2) to the form d + p*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176391 - -258834. Is j 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 o when two letters picked without replacement from byyhbytbbbbboyyo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 - -132. Let c = 226\/3 + o. Let i = -6 + 6. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 63 = 7*z. Let x be (-1)\/(-4) - ((-315)\/28)\/z. Let k be (-3)\/(-4) - (-1 + 1). What is the second smallest value in x, k, 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1)*j)**(17\/2)\/(j**(5\/4)\/(j*j**(-1)))*(((j**(6\/11)\/j)\/j*j)\/j**(1\/20))**(-33) assuming j is positive.\nAnswer: j**(409\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/17? (a) -6\/19 (b) 1\/2 (c) 23 (d) 16 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 12:17 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t**3 + 0*t**7 - 1\/24*t**4 + 0 - t**2 + 0*t**6 - 1\/168*t**8 + 0*t**5 + 0*t. Find the second derivative of i(n) wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/36*492\/861.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, 62\/17 in decreasing order.\nAnswer: 62\/17, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14894831 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(35)\/sqrt(5)*-4*-5 + -3))**2.\nAnswer: -120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 112 = 268. Let a = 2 + i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -2*x - 327. Let i(j) = j**3 + 2*j**2 - 3*j + 3. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 776709 or 776702?\nAnswer: 776709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/68 (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 4 - x**2 - 91.\nAnswer: 2*x**2 - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3262*d + 3*d**2 - 2*d**2 - 7 - 1 + 1623*d + 1621*d. Calculate u(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1908230, -1908186, -1908144, -1908104, -1908066, -1908030, -1907996?\nAnswer: -1907964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1081, 1, 2, 4, 6 in increasing order.\nAnswer: -9, 1, 2, 4, 6, 1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 289740027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5144 is divided by 642.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {b: 4, e: 2, d: 1, o: 2, p: 2, a: 9}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1274100*d**2*k**2 - 1450*d - 309*k**2 wrt d.\nAnswer: -2548200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25258*o - 2138*o**2 + 25258*o - 1339*o**2.\nAnswer: -3477*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1298*c + 1 - 1 - 1286*c + c**2.\nAnswer: c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -18 - (-7 - -33) - 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257.81692928 - 0.18053072. Let c = 442 + -184. Let s = b + c. Round s to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032378 minus 1295794?\nAnswer: -1295793.967622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 540.9548ml?\nAnswer: 0.5409548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -278, -286, -298, -314?\n\"Answer: -2*w**2 - 2*w - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/2 + 9)*2. Solve 2 = s, 2*s + 2*s = -2*t + o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, 284, 673, 1222, 1931, 2800?\n\"Answer: 80*z**2 - 11*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 19 - 13. Let a = p - 3. Let g be (-12)\/16 + 58\/(-8). Is g != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (38\/(-8))\/(3\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/168 and 45\/695156.\nAnswer: 4170936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*w - 19 = 0, 3*w = -2*m - 1 + 22. Suppose -4*s - m*s + 14 = 0. Suppose 5*y + 5 = -3*p, 2*p - 6 = s*y - 3*y. Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2453336 (base 10) to base 9\nAnswer: -4548308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/9)\/(3\/(-9)). Solve r = 5*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:45 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1342 * 0.71.\nAnswer: 952.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c**2 + 1. Let o(g) = 10*g**3 + 4*g**2 - 2*g**3 - 2*g - 90 + 39 + 0*g**2 + 47. Give -o(f) - 4*r(f).\nAnswer: -4*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/f**(-5))**(-41)\/((f\/(f\/(f*f**0)))**(-13)*((f*(f\/(f*f**(1\/5)\/f)*f)\/f*f)\/f)\/(f**1\/f)) assuming f is positive.\nAnswer: f**(-1733\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1445, -2394, -3345, -4298?\nAnswer: -5253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/76 and -23\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**4 + 6*w**4 + 2*w**5 - 2 + (3*w**4 + 2*w**4 - 6*w**4)*(-3 + w + 4 - 3).\nAnswer: w**5 + 2*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1794 and 1741353?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17703 and 126658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841060.\nAnswer: 2, 5, 11, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (12 - -2)) + 14 + 120?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 374694*d*r**4 - 2*d*r**3 + 7190*d*r**2 + d*r - 11*d wrt r.\nAnswer: 8992656*d*r - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, 12, 163, 414, 759?\n\"Answer: -y**3 + 59*y**2 - 125*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 20 = -q - 7 + 28, -7*n + 6*q - 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139380265 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 u when four letters picked without replacement from bubbmububbhbchzhbz?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 5*o**2 + 5*o - 5. Let w be x(5). Suppose -7*u + w = -3*u. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 0 - 5\/6*x**4 + 11*x - 2\/3*x**3 + 0*x**2. Find the second derivative of r(k) wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -6*j**4\/11 - 5988*j**3 + 52740288*j**2\/11 - 418759104*j\/11 + 835408896\/11 = 0.\nAnswer: -11728, 4, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 + 2 = 0, -r + 25 = 4*l. Suppose -c = 5*q - 4*q, -3*q - l*c + 10 = 0. Let f(x) = -3*x - 4. List the prime factors of f(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -3*i + 5*x + 356, 3*x = -3*i + 816. Suppose 0*b + i = 6*b. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2069, -177, -0.2, 3\/4?\nAnswer: 2069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 7. Let u(r) = r + 3. Let c(v) = -3*n(v) + 7*u(v). Suppose 9*y = 3 + 15. Let w(k) = 3*k**y - 11 + 2*k**2 - 14 + 25. Calculate c(w(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 5*k**2 + 3*k - 5. Let o be ((-4)\/8)\/(1\/(-8)). Let p be d(o). Let c be -54*3\/(p\/4). What is the greatest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 2, t: 2, l: 1, q: 1}. Give prob of picking 1 q, 1 p, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (18\/164)\/9*-3*28\/63\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28846 is divided by 4804.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 595762.7kg?\nAnswer: 595.7627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-16)\/12*(-9)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-33) + (-665)\/154 - -3. Let y = 277\/3 + -91. Which is the biggest value? (a) y (b) -3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10400 + 13752 + 6256 = -8740*q - 13292 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*x**3 - 2*x**2 - 8 - 206*x + 0 - x**2 + 210*x - 1 to the form c*x**3 + k*x + v*x**2 + p and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from bezeebebebebnbbenq?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, -1797, 1\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*b + 32. Let y(s) = 10*s - 27. Let v be y(16). What is the greatest common factor of b and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, -280, -875, -1708?\nAnswer: -2779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*v + 15703 + 24467 = -571*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a week in hours?\nAnswer: 182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 0 + 2 + -2. Let t = -70 - -421\/6. Which is the nearest to 1? (a) w (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15658347?\nAnswer: 3, 29, 179981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25718)\/501*207\/(-138)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796840 divided by 5?\nAnswer: -359368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -510*a**4 - 731*a**3 - 3*a**2 - 2*a - 539985?\nAnswer: -12240*a - 4386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10566766 and 666316?\nAnswer: 6286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4930411.\nAnswer: 379, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 253 = 8*i, 9577*k - 9573*k = 4*i - 92 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 330*z - 15629. Calculate i(42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 316259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrv when four letters picked without replacement from {v: 14, r: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 3 + -2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 4. Let l be t(-7). Suppose 0*z = -2*z - l. Which is the second biggest value? (a) 4 (b) -0.01 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/4)\/(126918\/10256)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iagni. Give prob of sequence iig.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 - 3.9. Let l(a) = a**2 - 5*a + 3. Let y be l(2). What is the second biggest value in z, y, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -886*q + 160*q + 40*q to t + s*q and give s.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(425))**2.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 5}. What is prob of sequence kdk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 2:41 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m - 205. Let x be g(23). Solve l - 3*v = 8, -4*l - x*v = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 399735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -73. Which is the nearest to l? (a) 1\/6 (b) -9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -115. Which is smaller: i or 26\/37?\nAnswer: 26\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -0.3 (c) -7\/3 (d) -2\/5 (e) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 0. Suppose 6 = 2*b - m. Solve -2*c + b = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 4. Let r(x) = x**2 + 4*x. Let w be r(0). Let u be l(w). Factor 3\/2*v - 6*v**u + 9*v**3 - 6*v**2 + 0 + 3\/2*v**5.\nAnswer: 3*v*(v - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1 + 45. Suppose -2*f + 3*t = -0*f + 130, -343 = 5*f - 3*t. Let v = b - f. Solve 0*g - v = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u + 238. What is r(24)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - i**2 - i + 31. What is t(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001111011 - -1110010100?\nAnswer: 1000000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:20 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -53?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.3 (c) 7 (d) -43445 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 - t**4 - 4*t**3 + 3*t**2 + 21 - 19 in the form m*t**4 + d*t + j + k*t**3 + s*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y - 4. Suppose 283 - 287 - 108 = 16*w. Which is the third biggest value? (a) -5 (b) w (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*0 + 3. Suppose 0 = -g*u + 7*u - 12. Calculate the remainder when u is divided by (24\/16)\/(3\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -207*z + 6. Let i be -5*(-3 + 20\/5). Is t(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6)*r)**(4\/19))**(-3\/4) assuming r is positive.\nAnswer: r**(12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -40. Solve 4*r + 12 = 0, 4*b + r + 28 = -f*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/4*7 + -3. Let m be (-5)\/(a\/(-4)) - -4. Suppose m*k - 4*k = -190. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 + 452*l**3 + 59680*l**2 + 609424*l + 1303680 = 0. What is l?\nAnswer: -70, -8, -3, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:36 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7 + 3. Calculate the common denominator of (3\/2)\/(i\/15) and -41\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (870\/(-24))\/(7\/(-1400))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27452853871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 9*w**2 - 5*w + 26. Let q be p(-8). What is the third biggest value in q, 11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.8 + 18. Let b = l - 9.2. Let q = b - -7.6. Put 1, 1\/4, q in ascending order.\nAnswer: q, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 17*k**2 - 3*k - 50. Let x be l(9). Solve -3 = x*o + 5*q - 8, -2*o = 5*q + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 157*d + 2674. Let r be x(-17). Calculate the highest common divisor of r and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(1\/7)\/p*p)\/p)*p)\/p**6*(p**(-1))**17 assuming p is positive.\nAnswer: p**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 905687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 19. Suppose -3*b - 61 = -2*g, -3*g + 22 = 5*b + 111. Let j be v(b). Put 37, j, -3, -4 in descending order.\nAnswer: 37, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67203 + 4?\nAnswer: -67188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 - 60*o + 252. Let h(c) = 0*c + c**2 + 0*c - 4 + c + 3. Let i(w) = 4*h(w) - p(w). Factor i(j).\nAnswer: -4*(j - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 12, k: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 38857*o + 1322299. What is q(-34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -6*c**5\/5 - 6*c + 4. What is the derivative of w(k) wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, 1\/7, 0.8.\nAnswer: -1\/2, 1\/7, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 5*u + 6. Let w be z(6). Let v = -2 + 4. Suppose w*l = v*l - 18. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h - 2. Let j be r(-1). Calculate the remainder when 16 is divided by (-14)\/j*(7 + -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - 2) + -1)*-55. Suppose -2*m = -3*m + y. What is the units digit of 1188\/m - 4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242 and 192?\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjij when four letters picked without replacement from {j: 3, i: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2079, -4164, -6251, -8340, -10431, -12524, -14619?\n\"Answer: -z**2 - 2082*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -1, 8, 41 in increasing order.\nAnswer: -1, 8, 41, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 2\/8 - 5\/(-20). What is the second derivative of 19*n**2 + j*n + 11*n + 5*n + n**2 wrt n?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.037 less than or equal to 303.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1488*o**3*x**3*y**2 - o**3*x**2*y**2 + o**2*x*y**2 + 2*o**2*x*y + 18*o*x**3*y**2 - 3*y wrt o.\nAnswer: 8928*x**3*y**2 - 6*x**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 - 5 = 0, 0 = -2*a - 2*j + 3700. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/h**(-2\/35) assuming h is positive.\nAnswer: h**(-208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-3 + 4 - -214) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757624 divided by 664?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*i = -59*i + 103*i - 180 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02375 (b) 3\/8 (c) 13.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97053 is divided by 368.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-28)*1 - (-58)\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9641*l = 9699*l + 986 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c. Let y = 177 + -172. Sort c, -3, y.\nAnswer: -3, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78099553 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-11368)*28*21\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1856594055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b9 (base 12) in base 7?\nAnswer: -10356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, g: 5, e: 6, f: 1}. What is prob of sequence gguu?\nAnswer: 5\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 - 9*u + 8. Let z be r(8). Suppose -f + 9 = 2*m, z = -0*m - 2*m. Calculate the highest common divisor of f and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5257 + -8470.72\nAnswer: -3213.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v - 4 + 6 + 0 + 48*v + 60*v.\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:15 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1196*m**2*s**3*u**3 - m**2*s**2*u**2 - 13*m**2*s**2*u - 126*m**2*u**3 - 11*m**2 - 2*s**3*u**2 + 3 wrt u.\nAnswer: -7176*m**2*s**3 - 756*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30954 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**3*z**3 + 7*m**3*z**2 - 3*m**3*z + 94*m**2*z - 3*m*z**3 wrt z.\nAnswer: 30*m**3*z + 14*m**3 - 18*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 256284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 7*o**2 - 1. Let r be -4 + (-3)\/(-3) + 25. Suppose r = -4*a - 2. Is 18 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 + 46678*b**2\/7 + 233340*b\/7.\nAnswer: 2*b*(b + 5)*(b + 23334)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 9 + 1)*(7*t - 4*t + 3*t) to h*t + u and give h.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyyyyyyzcgcmmm. Give prob of picking 1 m and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k**4 - 177*k + k**2 + 0 + 0*k**3 - 2\/5*k**5 + 1\/30*k**6. Factor g(z).\nAnswer: 4*z**2*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxxb when four letters picked without replacement from xxxxxxbxxxxxxxxxxxbx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3401 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvvbsbbvmsb. Give prob of sequence vs.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 16419?\nAnswer: 11\/16419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 != -2325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*q + 0 + 6 + 4.\nAnswer: 3*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289 divided by -417214?\nAnswer: -3289\/417214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -5, 0, -4.\nAnswer: -58, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-48))\/(-1*3\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 481607.\nAnswer: 1\/481607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 2.97\nAnswer: -17.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 2 + 2 - 3 + 0*k + 32*k**2 - k as h*k + g + p*k**2 + c*k**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v. Let p(w) = -3*w**2 + 7*w + 1. What is -p(b) - 5*s(b)?\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (8\/6)\/2 + 28\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1.9, -10, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23 - 120*t**2 - 7678*t**3 - 5*t**4 + 110*t + 7728*t**3 - 12.\nAnswer: -5*(t - 7)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(720)*1 - (2 + 2*sqrt(5))*-3.\nAnswer: -66*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/9))**(17\/4)\/(h\/(h\/(h**8*h))*h*h**1))\/((h**(1\/5))**48*(h*h**(-2)*h)**(-1\/2)) assuming h is positive.\nAnswer: h**(-2773\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000070426247 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 3*y**3 - 3*y**2)*(234*y**2 - 90*y**2 + 178*y**2 + (-y + 2*y**2 + y)*(-5 - 1 + 4)).\nAnswer: 954*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7827 = 4*y - 30595, -4*y - 4*d = -38424. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, -2, -0.3, 3, -6.4 in ascending order.\nAnswer: -6.4, -2, -2\/3, -0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3689605?\nAnswer: 5, 737921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 16*q**2 + 591*q + 6584. Give o(-12).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 129.\nAnswer: 7\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36016597 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13232201 - -11?\nAnswer: -13232140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/33? (a) 1\/5 (b) -2\/5 (c) 4\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -12 (c) -975\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**2 + 53*w + 56. Let y(b) = b**2 + b - 9. Calculate x(p) + 6*y(p).\nAnswer: -p**2 + 59*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 23.22. Let x = w - 0.28. Which is greater: 2\/5 or x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaxfaaaahxaaaxfafaxx?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -2285 (c) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 222.695 and 0.154?\nAnswer: 34.29503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2645?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 4. Let f = 33 - 98\/3. Put j, 0, f in ascending order.\nAnswer: j, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735 = 7*z + 1449. Let d be z*(3 - (-4964)\/12). Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131432 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*g = -5*g - 28, 0 = s + 4*g - 8. Let j(d) = 3*d**2 + 4*d - 47. What is the tens digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -96. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158*-675.79.\nAnswer: -106774.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(4*((sqrt(68) - (sqrt(68)*1 + sqrt(68))) + sqrt(68)))\/(-4*sqrt(4)*-2)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**17)**30 assuming u is positive.\nAnswer: u**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {e: 1, m: 1, l: 1, j: 1, n: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Let k(t) = 2*t**2 - 11*t**q + 8*t**2. Let m(f) be the third derivative of -f**5\/5 - 2*f**2 + 798. Calculate k(m(g)).\nAnswer: -144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0158463985 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786638541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = 4124 - 4150 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3528777?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 21*s - 22*s. Suppose -s + 11 = 4*a. Suppose -a*h = -4*l - 260, l + 22 + 110 = h. List the prime factors of h.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4593*b**2 - 9251*b**2 - 4*b**3 + 4890*b**2 + (-2 + 4 - 4)*(3*b**3 - 3*b**3 + b**3) + (-2 + 2 + 2*b)*(-3*b**2 - 4*b**2 + 5*b**2) - 3*b + 3*b + 2*b**3.\nAnswer: -8*b**3 + 232*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 0 + 0)*(23 - 40 + 56) + 27 - 27 + 8*h to g*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 + 212*a**4*t - 13*a**2 - 13*t wrt a.\nAnswer: 240*a**3 + 5088*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 6*z + 9. Let g be y(-6). Suppose g*w - 24 = w. Solve i + w - 6 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452\/114 - 48\/100*17850\/2142.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 99\/6 - 3\/2. Let c(n) = -k*n + 15*n + 4*n. Give c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 4. Let i(u) = u - 1. Let g(z) = 6*i(z) + 3*v(z). Let j be g(-13). Solve -2*d = -6*d + 3*o - j, 0 = -4*d + 4*o - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 + 610*t**4 - 9025*t**3 - 42760*t**2 + 823680*t = 0.\nAnswer: -9, 0, 11, 16, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42836 is divided by 549.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose 2*z + n*c = 22, -c = -0*z - z + 11. What is the smallest common multiple of 7 and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 43 + -4 + 2)\/1. Let h = -46 + w. Does 17 divide (-583 - h)*12\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.2. What is the biggest value in 5, m, 1\/8, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.34 - -8.13. Let y = -1.21 - r. Which is the closest to -1? (a) 0.5 (b) -4\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 142 in 0, -1.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/(-144)*(-6)\/(-35)*-3*2.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29670544139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1999 = -c, 0 = -3*v + 6 - 15. Which is smaller: c or 2004?\nAnswer: 2004","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61803918 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.48903ml in litres?\nAnswer: 0.05048903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -z. Let y(g) = g**3 - g**2 - g - 1. Let h(l) be the first derivative of l**4\/2 - l**3\/3 - 2*l - 6. Determine z*y(x) - 2*h(x).\nAnswer: -2*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -590*a*f**2*h*l + a*f*h*l - 6*a*h*l + 24*a*h - 2*a*l - 374*f**2*h*l + 2*f**2 + 222*f*l wrt f?\nAnswer: -1180*a*h*l - 748*h*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 8:18 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3625807*w**2 + 201384552.\nAnswer: 7251614*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:13 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13230 divided by 21\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -27*i**3 - i + 1. Let u be w(1). Let a(t) = 5*t**3 + 2*t**2 + 2. Let c(m) = -73*m**3 - 14*m**2 + 7*m**3 - 27 - 13*m**2. Calculate u*a(j) - 2*c(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 13157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in -0.5, 1.67, -0.7, 0.4?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1473 - -39. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20693 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/41856 and 85\/48832.\nAnswer: 292992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in -5, -5\/4, 2, -13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59009 - 13486058206.\nAnswer: -13486117215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -5*n**4\/3 - 98*n + 311. Let b(q) be the first derivative of j(q). Let d(l) = 8*l**2. Determine b(d(s)).\nAnswer: -1280*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -5812, -13773, -25050, -39643?\nAnswer: -57552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156.7 + 158.7. Put 1\/4, -11, l in descending order.\nAnswer: l, 1\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 174 = 10*a - l, 6 = 5*l - 19 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) 214 (c) 0.4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 232 = 256 - 82 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krwk when four letters picked without replacement from {k: 3, r: 3, w: 5, e: 9}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 13 = f - 4*o, -5*f - 2*o = -25. Let c(j) = j + 1. Let y(a) = -676*a - 5*a**2 + 3*a**2 - 7*a**2 + 15 - 18 + 675*a + 2*a**2. Determine f*c(q) + y(q).\nAnswer: -7*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 + b**2 - 6*b - 28. Let k(x) = x**3 + 2*x + 9. Determine -2*i(r) - 7*k(r).\nAnswer: -r**3 - 2*r**2 - 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -184154 and 5.\nAnswer: -920770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d925b (base 15) to base 11.\nAnswer: 1278819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/7 + 1100*y**4\/7 + 1488*y**3 - 198428*y**2\/7 + 302066*y\/7 + 509808\/7 = 0.\nAnswer: -19, -1, 3, 8, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17059 and 180116233.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -883 - -3?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006777 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -9*v**2 - 1\/6*v**4 + 0*v**3 + 0 + 0*v. Let p(j) = 2*j**2. Give b(p(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 52, 96, 136, 172, 204?\n\"Answer: -2*f**2 + 54*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275758 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)*q)\/((q\/(q\/q**(-24)*q))\/q)*(q**(-2))**(-4\/21) assuming q is positive.\nAnswer: q**(381\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1, 2\/47, 28.8?\nAnswer: 28.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/15))\/(h*h**(-26)\/h*h))\/(h*h**48)**(-50))**(-13\/2) assuming h is positive.\nAnswer: h**(-482807\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k - 5. Let q be u(1). Suppose j = -4*v + 12, -4*j + 4 - q = -3*v. Solve 2*s + 4*g = -j*g - 14, 29 = -5*s - 4*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(3\/(27\/(-4)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/7 - 2340724*r**4\/7 - 684878286936*r**3\/7 - 391351998964*r**2 + 489192088630*r = 0 for r.\nAnswer: -585179, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/11 + 10094*m + 333120\/11 = 0. What is m?\nAnswer: -3, 55520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 435916609 to the power of 1\/2, to the nearest integer?\nAnswer: 20879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 - 6*t - 5. Let a(f) = 12*f**2 + 13*f + 11. Let x(w) = -3*a(w) - 7*b(w). Let o(l) = 2*l**2 - 4*l - 2. Determine 2*o(q) + 3*x(q).\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*5 + sqrt(7) + (2*sqrt(28))**2.\nAnswer: 21*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 3 + 0*k + 0*k)*(588*k - 131 + 131).\nAnswer: 1176*k**4 - 1764*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, 90, 487, 1260, 2535, 4438?\n\"Answer: 21*w**3 - w**2 + 3*w - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -599? (a) 3 (b) -21\/4 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2221*n - 520*n**2 + 2221*n + (-n**2 - n**2 + 0*n**2)*(3 - 6 + 1).\nAnswer: -516*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345158 or 1.4?\nAnswer: -345158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17563267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 14 - -1) + -8 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118328, 236654, 354980?\n\"Answer: 118326*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*s - 8 = 7, -t - 5*s = 14. Let b be (3\/(-4))\/(t\/(-8)). Let n = 1833 - 1831. What is the greatest common divisor of n and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 t, and 1 f when four letters picked without replacement from {k: 1, w: 2, z: 1, t: 2, h: 2, f: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g - g - 4*v, -27 = 2*g + 5*v. Let u = 24 - g. Let l be (9\/u)\/((-3)\/(-4)). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 966 - 280. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**2 + 1. Let s be y(1). Let b be 2*-8*12\/24. Are s and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 266356034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15080 = -14*m. Let d be (12 + m\/(-96))\/(6\/32). Sort d, -0.1, 15.\nAnswer: d, -0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1142 and 1055779.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose 23*a = 25*a + 380. Let i = a + 195. Solve -3*r + i*r = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -391 (base 12) to base 13.\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*j - u, 5*u + 15 = -j + u. Calculate the least common multiple of j and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 3, -84\/11 in descending order.\nAnswer: 3, 3\/8, -84\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 9*i - 5. Let o be g(-10). Let c(h) be the second derivative of 11*h + 0 - 1\/12*h**4 + 1\/2*h**3 + 3*h**2. What is c(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/((sqrt(66)\/sqrt(3))\/sqrt(11)) - (3 + sqrt(117)\/(sqrt(9) + sqrt(9) + (sqrt(9) - (sqrt(9) - sqrt(81))))))*5*-4 + 5)**2.\nAnswer: -2080*sqrt(13) + 7553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l - 226. Let d be h(36). Let o = -46 + -63. Let y = d + o. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289 + 299. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h - 11. Let a be -221 - (h + (4 - 6)). Let t = a - -480. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((6 - 7)*2)\/(2\/(-3)). Differentiate -11*r + v + 0 - 5 - 1 with respect to r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) + (sqrt(392) - (sqrt(392)*-1*3 + sqrt(392))))\/sqrt(8))\/(sqrt(567) - 3*sqrt(567)*-1).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2385\/2491 + (-96)\/(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(245) - ((sqrt(245) + sqrt(245) + -1 + sqrt(245) + 1)**2 + sqrt(245)).\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956460 to the power of 1\/2, to the nearest integer?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -18. What is the units digit of (-1 + 7)*48\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53363 divided by -3139\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 16. Solve 3*r - 20 = 4*q, 0*r = -5*r + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/7 - 336388*h**2\/7 + 2*h\/7 + 336388\/7 = 0. What is h?\nAnswer: -168194, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051347 to 6 decimal places.\nAnswer: -0.000513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s + 8. Determine v(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -227*t + 4769. Let m be i(21). Let f(s) = 5*s**2 - 10*s + 15. Determine f(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 30532.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let g(v) be the third derivative of 5*v**4\/24 + 113*v**3\/3 - 5602*v**2. Give q(g(o)).\nAnswer: 5*o + 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6 = -3*l - 0, 2*l - 4 = 5*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -136 (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -641 (base 14) to base 9.\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w + 2801 = 292 + 392 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 2.520397.\nAnswer: 0.5040794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) 0.5 (c) -0.4 (d) 1 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*h + 2\/3*h**5 + 7\/3*h**3 + 2*h**2 - 3*h**4 = 0. Calculate h.\nAnswer: -1\/2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*-2*sqrt(99)*5)\/(sqrt(18)\/(sqrt(18) - sqrt(2)) - sqrt(1089)*-2))**2*-3.\nAnswer: -1408\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 300313101?\nAnswer: 300313023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 47 = -4*w + 49, 2*w - 19 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/17, 5, -5, 0.5 in ascending order.\nAnswer: -5, -7\/17, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.89 + 0.09. Let m = 0.4 + v. Let p = m - -0.3. What is the third biggest value in 0.2, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*(o\/(o\/(o\/(o*o**3))))\/o)\/(o*o*o**(1\/5))**5 assuming o is positive.\nAnswer: o**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 1, w: 2, c: 2, m: 2}. What is prob of sequence mg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 4*b - 21. Let j = 260 - 224. Calculate the remainder when j is divided by o(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/4 + s**2. Let w(z) = -69*z**2 + 38*z**2 + 37*z**2 + 0*z + 0*z. Determine w(k(h)).\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-2 - 3) + -5 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 o when three letters picked without replacement from {o: 3, x: 1, w: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -5 + 3 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 161314019 to the power of 1\/2, to the nearest integer?\nAnswer: 12701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - -26) + (-5 - 7\/21). Factor -x*k + 8 + 16\/3*k**2 - 2\/3*k**3.\nAnswer: -2*(k - 4)*(k - 3)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p - 74. Give q(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.005 + -0.105. Let m = -3 - -2.9. Let a = c + m. Put -1, a, -2\/17 in decreasing order.\nAnswer: -2\/17, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -109748.\nAnswer: 1097480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 9, x: 7}. Give prob of sequence sxx.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**5 + 3*n**5 - 3*n**5)*(-1 - 29 + 9).\nAnswer: 84*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*b - 80, -b - 21 + 17 = 0. Which is bigger: z or 24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (8\/10)\/((-18)\/(-45))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10457 * -4.5.\nAnswer: 47056.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.2 + -47.200000575. Round g to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175441*a**3*s**4 + 7727*a**3 + 4*a*s wrt s?\nAnswer: -2105292*a**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61228039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92078.05km in millimeters?\nAnswer: 92078050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-243)\/1020 - ((-132)\/(-48) - 3))\/(6\/(-12)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/12 - l**4\/12 - l**3\/2 + 4*l**2. What are the prime factors of f(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031 (base 9) to base 5\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*-4 - sqrt(99)) + sqrt(99) + sqrt(99) - sqrt(99))*-6 + 2*4*sqrt(99))\/(-5*2*sqrt(729)*3).\nAnswer: -16*sqrt(11)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -64 (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Let g = -3.6 + q. Let w = -13 - -9. Which is the third smallest value? (a) w (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -54*n + 2110. Let x be z(39). Solve -x*a - 4 = -0*w + w, -5*a = -2*w + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 48\/9)*(-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 983 + -4123. What is y rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 4*i**2 + 2*i**2 - 18*i - 4*i**2.\nAnswer: 2*i**2 - 26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -106*z - 35. Let p(j) = -312*j - 103. Calculate 17*o(h) - 6*p(h).\nAnswer: 70*h + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + -42?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 8*r**2 - 9*r + 8. Let a be t(-9). Let v(q) = q**3 - 3*q - a + 0 - 6*q**2 + 5*q. Is 2 a factor of v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -617*o**5\/20 - 2*o**4 - o**3\/6 - 107*o - 2. What is the third derivative of h(r) wrt r?\nAnswer: -3702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 114. Calculate h(-29).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/116 + 6\/29. What is the third biggest value in m, 0.2, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 71, 0, 3, -1, 145.\nAnswer: -1, 0, 3, 5, 71, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -18*d + 38*d + 5*d**2 - 20*d. Let a(z) = 4*z**2. Give s(a(g)).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718 = 4*m + 2*q - 4*q, 0 = 2*q - 2. Suppose -f - 4*f - m = 0. What is the units digit of f\/(-4)*(-8)\/(-9)*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:31 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -46, -88, -136, -184, -226, -256, -268?\n\"Answer: j**3 - 12*j**2 - j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 14*o - 18. Let x be d(13). Let w(s) = 34*s**3 - 3*s**2 + 3*s - 5. Let t be w(x). Is (-2)\/3 + t\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:16 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {g: 1, j: 1, w: 3, e: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + 3 + -2*sqrt(320) + (-2*sqrt(320) - sqrt(320))*1)**2.\nAnswer: -560*sqrt(5) + 8049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 5. Let u be v(4). Suppose 18*a = u*a - 12. Solve 4*k + a*b = 8, -k + b + b + 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/38 - 41\/266. Let d = 50.5 + -51. Which is the closest to -2? (a) t (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.033 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 7*h + 7*h + 0*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 1086 = 2*o. What are the prime factors of o?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -4, -7, -10, -13?\n\"Answer: -3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:01 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by 2\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471 - 8*u - 1420 + 474 + 475.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 5. Let a be (-19)\/i - 3\/(-1). Let f = -0.44 + 0.04. Sort 4, f, a in descending order.\nAnswer: 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 6*j)*(-5 + 2 - 1)*(-2 + 4 - 1).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 16 (c) -672 (d) 36.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5 + 167*d**4\/3 + 1280*d**3\/3 + 1918*d**2\/3 + 634*d\/3 - 55 = 0?\nAnswer: -15, -11, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -480*l**3 - 491*l**3 + 971*l**3 - 419*l**5 + 2*l**5 + 1 - 1 + (0*l**3 - 2*l**3 + 4*l**3)*(0*l**2 - 4*l**2 + 2*l**2).\nAnswer: -421*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 + 1540. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*c**2 - 1888*c - 224231?\nAnswer: -136*c - 1888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17932 divided by 4483\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 35 = 3*n + 4*u, -n + u + 9 = 0. Let i = n - 4. Let y(d) = 2*d**3 + d**2 - 2*d + 1. What is the units digit of y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9204.898 milligrams?\nAnswer: 9204898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5 - 12*b**4 - 24*b**3 - 20*b**2 - 6*b = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 2*k - 2. Let f be s(-1). Suppose 0 = f*q - 4*q - 4. Solve 5 = -5*j, -a + 2*j - q*j = 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 9857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1824 = 14*v. Let x be v\/950*(1 + (-3)\/(-2)). Let f be (-2)\/2 + (-31)\/(-29). Which is the third smallest value? (a) x (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from psxsjoddspopdopxo.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - 3. Suppose -5*q - 14 = 11, 11 = 2*n - 3*q. Let s be w(n). Let x(t) = t**3 - 4*t**2 - 4*t. Let u be x(s). Solve -4 = y - u*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291 - 289. Let p(u) be the first derivative of -1\/2*u**x + 0*u - 2. Let l(r) = -5*r**2. Calculate p(l(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x + 32. Let b be y(5). Which is smaller: 74 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 67 - 60)*((-4 + 4 - a)*(4*a**2 + 0*a**2 - a**2) - 4*a**3 + 3*a**3 + 3*a**3).\nAnswer: 84*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*l + 5*n + 7, -n = -l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*x = 655 + 424, 4*q + 3*x - 1097 = 0. Calculate the least common multiple of 32 and q.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651.9271ng to grams.\nAnswer: 0.0000006519271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 + -180. Which is the second smallest value? (a) -1\/4 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-270) - (-2)\/(-5). Let d = -1.8 + 1.7. Put -3, d, i in increasing order.\nAnswer: -3, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 334118 or 334119?\nAnswer: 334118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.703 + -0.38. Let p = x - 0.323. Is 189 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -562 + 563. Which is the biggest value? (a) v (b) -5 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 2. Let w be n(6). Calculate the highest common factor of w and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10036 is divided by 501?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*c - 2, -4*v + 52 = 3*c + 56 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + b - 17 = 3*b, -b = 3. What is the second derivative of -o - 22*m**4 - 14 + 5 - 2*m wrt m?\nAnswer: -264*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3\/4, 4, -486, 17, 2\/3 in ascending order.\nAnswer: -486, 0.5, 2\/3, 3\/4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*j**5 + 147*j**2?\nAnswer: -3060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390143?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002109902 rounded to five dps?\nAnswer: 0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/2 - (-210)\/55. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15690463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.4 (c) 0.055 (d) 0.5 (e) 21 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-19 - -9) - (5 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:01 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 67498*g\/9 - 1691200\/3.\nAnswer: 2*(g - 75)*(g + 33824)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 31 = -5*z. Suppose 4*l + 7 = z. Suppose -l = -2*i - 2. Solve -5*v - i = 2*d, -d + 2 = 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, 0, -3618, 5, 4 in increasing order.\nAnswer: -3618, -35, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 68 - 42 = 0. What is the smallest common multiple of 17\/3 - (-11)\/33 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1583 in 0.2, -1\/5, 5\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (13\/22)\/(15\/(-30)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231128455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 116 - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -760.7 + 484. Let n = s - -247. Let o = -30 - n. Which is the third biggest value? (a) -3\/8 (b) -0.05 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 128.5?\nAnswer: -128.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*5*6*(-2)\/(-4). Do -46 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323507?\nAnswer: 323507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -4\/13, -5, -24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 214 = 5*m, 2*m - 11 = 5*q + 68. Let t = -23 - -50. Let v = m - t. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 0.2, -106, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2678 + -2676. Solve -1 = 2*k - 2*p - 9, h*p + 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 1. Let q(h) = -h**3 - 16*h**2 + 17*h - 2. Let r be q(-17). Determine w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7026275 is divided by 1306.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*u - q = -98*u - 142, 5*q = -10. Calculate the remainder when 142 is divided by u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 135317520 and 1.\nAnswer: 135317521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42\/11 - 4. Let r be (8510\/(-770) + 11)\/(6\/(-21)). What is the nearest to -1\/2 in 2\/9, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*u + 10*u = 14, -2*r + 2*u = 4. Suppose 0 = -5*q - 3*i - 23, -r*i + 6 = -2*q - 0*i. Is -17\/4 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878339 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 136*c = 37*c. Which is smaller: 1\/3609 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758673997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85045 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2 + 6. Let g(v) = c*v - v**2 + 2*v**2 - 2*v. Let o(r) = 3*r - 3*r + 2*r. What is o(g(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (26\/79)\/(3866\/1068949)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5 - -2) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4047462960 rounded to the nearest 1000000?\nAnswer: 4047000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-4 - -7) + -1 - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-21 + 12) - (-9 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0 + 15\/4*g**4 - 6\/5*g**5 + 45*g - 3*g**3 - 3\/2*g**2. Find h, given that x(h) = 0.\nAnswer: -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slgnnnlynn. Give prob of sequence gsny.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11876*s - 4691031. Give l(395).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.43956 kilometers to centimeters.\nAnswer: 43956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1383834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 6*t - 5*t + 3*t - 5*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88368016046496 + 88368016046496 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -79. Is (4 - 4) + d + 190 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t**3 - 2*t**2 + 3*t + 9. Let q(f) = -f**2 + f + 3. Give -n(m) + 3*q(m).\nAnswer: 16*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (-2 + 2 - -2). Suppose -3*l - 8 - 7 = -4*n, 2*n = p*l + 10. Suppose n = d - 8. What is the remainder when 32 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-49)*3122\/(-2). Let s = -357 - v. What are the prime factors of s?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 > 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 552469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-3)*(0 - 3))\/1. Suppose 2 = -2*w + 12, 0 = -2*p + b*w + 377. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:28 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73\/195 - -1\/39. Find j such that 0*j - 2\/5*j**2 + d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 19*q**2 + 22*q - 225. Let j be p(-17). Let g(i) = i**2 + 25*i + 71. What is g(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 9*j**2 + 8*j - 29. Let o be d(4). Find the common denominator of (-2646)\/(-330) + (-14)\/o and -64\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(432)*6)**2 - sqrt(432) - sqrt(432).\nAnswer: -24*sqrt(3) + 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 83*n**2 - 3*n + 29. Let b = 36 - 42. Is o(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j - 5. Let p be d(-4). Suppose -3*n = 3*x - 42, 3*x - p = x + 3*n. Factor -i + 8*i + 1 + 4*i**3 - i + x*i**2.\nAnswer: (i + 1)**2*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 6*n + 4. Let k be r(-6). Is (175\/(-20))\/((-1)\/k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 4185 - 1247 = 0. Let z = g - -675. Suppose -8 = 4*x + 4. Sort -1, z, -5, x in descending order.\nAnswer: -1, x, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*h + 2*l, -19 = 2*h - 3*h + 5*l. Suppose -1 - 51 = -2*j - o, -h*j = -o - 98. Let q = j - 18. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2768*z + 2771*z = -4*d + 20, -3*d + z = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 4*o**5 + 3*o**2 + (-52 - 11*o + 52)*(5*o**3 - 5*o**3 + 2*o**4).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 366499.8285 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 5106*q**3 + 33302049*q**2 + 30188928852*q - 104870911210092.\nAnswer: -3*(q - 2043)**2*(q + 2894)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1000?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 11*b - 552. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-0.217.\nAnswer: 0.03255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-22 + 14)) + -1 + (-8 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 0.168961, -2, -3\/7, -7\/4, 1\/2, 0.3?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-63)*-6)\/(8\/12). Suppose 0 = -4*f + 5*c + 34517, -5*f = -6*f + u*c + 8627. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/(2\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/4 (b) 3\/8 (c) -8772 (d) 4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + 24\/9. Suppose 2*h - o*x = 29, 0 = 2*h - x + 5*x + 6. Let w be 6\/21 - 2\/7. Solve 3*a - h*a - 4 = w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 3488480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/6)*q**(4\/7)*q*q)\/(q*(q\/(q**(-5\/4)\/q))\/q*q\/q**(-9\/2)))**(-21))**17 assuming q is positive.\nAnswer: q**(8585\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q*q**7)\/q*q))*q\/(q\/(q*q**(-2\/15))))**(9\/8) assuming q is positive.\nAnswer: q**(399\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 2 - 16*h + 0 + 7*h + 6*h to the form t*h**3 + s*h**2 + b*h + x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 1*(-4691)\/(-2346). Let g = t + 63926\/5865. Calculate the common denominator of g and (-107)\/(-140) + (-6)\/(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*r - 2*h + 6, 2*r = -14*h + 5 - 35 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*h**2)*(-106*h**2 + 101*h**2 - 106*h**2) - 4*h**4 + 4*h**4 + 3*h**4.\nAnswer: 447*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/7)*v\/(v\/(v\/(v*v**(-2\/63)))*v) assuming v is positive.\nAnswer: v**(-34\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (18\/15)\/(37\/(11840\/(-128)))*(-2)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 107841650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 20 = -5*a. What are the prime factors of (-2)\/(-8) - 1479\/a?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17720327381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/30*6\/(-4). Let h = 170 + -167. Sort h, c, 0.2 in decreasing order.\nAnswer: h, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgjrra. Give prob of sequence rjr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/60 + (-94)\/(-30). Find the second derivative of -o*f**4 - 5 + 5 - f**4 + 14*f wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + g - 3 = -59, -4*g = 20. Let a(k) = 6*k - 66. Let u be a(13). Let o = w - u. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(8*y + 20*y + 1 - 23*y - y**2) to the form h + w*y**2 + b*y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 4:33 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14555*g - 12764723. What is w(-877)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51297, 51344, 51423, 51534?\n\"Answer: 16*g**2 - g + 51282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 5*x**2)*(-17*x + 7 + 30*x - 14*x) to the form c*x + m + q*x**3 + o*x**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 21*g + 13 + 18 = 22*g, 11*v + 2*g = 13*v + 112 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9563 is divided by 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 653\/1298 - -5\/118. Let l = q + -1\/22. Factor l*r**2 + 1\/2*r - 1\/2*r**3 - 1\/2.\nAnswer: -(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.044 (b) 35489 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 4) to base 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40504 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*s + 8 - 28, 5*b + 2*s - 20 = 0. Suppose -b*k + 804 = -0*k. List the prime factors of k.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 30*b - 26*b + 13, -20*g = 3*b + 29 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyyygyyyyyyyggyygyg. What is prob of picking 2 g?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(8\/13))\/(g*g**(-25))*(g\/(g\/g**(-22)*g))**(-1\/10))**1 assuming g is positive.\nAnswer: g**(3599\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 208991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4\/4 - 69*n**3\/2 + 432*n**2 - 1512*n = 0.\nAnswer: 0, 6, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 181 = 11. Solve 7*b = 9*b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217107 by -473.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15295313 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522344386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**5 + 19*c**4 + 1018*c**2 wrt c.\nAnswer: -360*c**2 + 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2258, -2215, -2084, -1817, -1366?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/12 + -4)\/(2\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 3*n**2 + 5*n + 4. Let a be g(-5). Suppose -3*h + i = -9 - 10, 0 = -3*h - 4*i + a. What is the smallest common multiple of h and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -534 - -536. Suppose -c + 13510 = -3*b, -c - 854 = a*b - 14379. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*((-560)\/210)\/((-8)\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 7. Let c(a) = a**2 + 6*a + 9. Let m be c(s). Let v(p) = p**3 - 5*p**2 + 4*p - 3. Give v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -14*s + 42. Suppose -s*y + 7*y - 14 = 0. Let u(h) = 2 - 2*h**2 + 1 + 2*h + 4*h**2. What is u(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 + -8.79. Let r = 9.7 + p. Let c = r + -1.7. Sort 3, c, -1\/2 in descending order.\nAnswer: 3, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 13 = 2*k, -5*r + 21 = -3*r + 3*k. Let s(n) = 2*n. Let h be s(r). Solve 3*j - 3 = h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1540398 and 834.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m + 8. What is i(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*l + 86. Let h = l - -37. Let v = -48 - h. What is the remainder when 1 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2 + 4*l - 3 + 7 + 0. List the prime factors of s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -349562 (base 11) to base 6.\nAnswer: -15514305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f + 6. Let n(g) = -45*g + 31. Let a(k) = 2*n(k) - 11*z(k). Let d be a(3). Suppose -2*r = -d - 17. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - 665020\/997575. Let k = -9510191\/798060 - f. Let r = -7\/6 - -11\/3. Find the common denominator of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -3*t, h = -t. Suppose 0*d - 4*d + 12 = t, 4*d + 188 = o. Calculate the remainder when o is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f*(f*f**(1\/2)\/f*f)\/f*(f**(-1\/3)\/f)**(-14))\/((f**4*f**(-2)\/f*f*f)\/(f**(1\/2)\/f*f*(f*f**(3\/5)*f)\/f)) assuming f is positive.\nAnswer: f**(244\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 888655511 take away 13?\nAnswer: 888655498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 906433 and 4598.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = 4*q + 5*x, 3*x = 4*q - 21. Suppose -20 = 5*y, -q*y + 706 + 124 = 2*f. List the prime factors of f.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n - 5 - 4*n - 4*n. What is m(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006271 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/(-10))\/((-64)\/(-1780160))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-12) + 354\/9. Does m = 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n + 4. Calculate p(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/(-18) - -2) + 0. Suppose 0*s = 3*s + 18. What is the second smallest value in l, s, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -193*v**3 - 3*v**2 - 7*v - 5. Let y be x(-1). Let i(h) = h**2 - 4*h - 6. Let o be i(6). Calculate the greatest common factor of y and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*h - 21, h - 15 + 2 = -3*b. Suppose 2*f + 5*x + 5 = -17, -2*x = -4*f + b. Let w = 13 + f. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/13 + 4930*d\/13 + 122000\/13.\nAnswer: 2*(d + 25)*(d + 2440)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-1 + 2 + -2). Calculate the common denominator of -57\/10 and (((-1260)\/(-88))\/r)\/1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 708.8 - 128.8. Let t = g - 583.1. What is the closest to t in -1\/5, -3\/2, -0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32645 + -32645. Let m be (-5)\/4 - (-2 - 0). Which is the nearest to k? (a) -0.5 (b) m (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6797 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 178010, 355476, 532942, 710408, 887874?\n\"Answer: 177466*q + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 160?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*v + 17 = 0, 0*v = 3*v + 12. What is the nearest to j in 2\/25, 4, -2\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-22)*(-16)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 7:19 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 422\/15 + -28. Let u be (-140)\/80 - 1\/4. Which is the third biggest value? (a) u (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-3 + 2))\/2. Let o be ((-4)\/2 - s)*-11. Calculate the greatest common divisor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -714 divided by 14\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b + 158*b**4 + 32 - 13*b**4 - 38 + 153*b**4 - b**3 wrt b.\nAnswer: 3576*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o - 9*o + o + 7. Give q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urtlk. Give prob of sequence lt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 3*h - 1. Let m(z) = -5*z**3 + 8*z + 3. Give -4*m(f) - 11*t(f).\nAnswer: -2*f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1\/7)*q)**(-25)*(q**(-8)\/q)**(13\/6) assuming q is positive.\nAnswer: q**(-1373\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 39962 = -22*k + 24*k, -s + 3*k + 19985 = 0. Let f = s + 2499. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 33 = 4*w, -w - 3 = -3*a. What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -174, -283, -134, 273, 938?\n\"Answer: 129*o**2 - 496*o + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 189*n**2 + 5*n + 4. Let b(x) = 4*x**2 - x - 1. Calculate 4*b(i) + j(i).\nAnswer: 205*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69740 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 j(o) = -87707*o + 3771406. Calculate j(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 108\/(-243) + (-5354)\/(-18).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/11)\/(t**(1\/4)*t))\/((t\/(t\/(t*t**3)))\/t**(9\/2)) assuming t is positive.\nAnswer: t**(-29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*i - 1452 = 505 - 389 + 1857 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21b6 + 3?\nAnswer: -21b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.14\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 708185 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1463 + 67*n**4 - 1463)*((-3 + 0 + 1)*(-3*n - 2*n + 4*n) + 0 - n + 0 + 6*n + 3*n - 5*n).\nAnswer: 335*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -968992664.000497 + 968993565. Let z = -901 + x. What is z rounded to 5 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 9 - 6*u + 4*u)*(-1 + 3*u + 5 - 3) to t*u + w + v*u**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 350, -12, 0.3, 4\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10773 is divided by 567.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 88\/(-40) + 11\/5. Let r(t) = 19*t + 14 - 12 + t**c - 39. Let q be r(-21). Solve -3*z = -q*p + 15, -5 = 5*p - z + 2*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 16. Suppose 3*y - 2*t - 12 = -0*t, 2*t + 6 = 0. Suppose -5 = -b - l, -6*b + g*l = -b + y. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + f65?\nAnswer: f65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -47. Let s be (-3)\/2*(-1)\/(-6). What is the smallest value in t, 2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 7. Let t(b) = 5*b + 6. Determine -5*l(d) + 6*t(d).\nAnswer: 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(4\/5))\/(d**(-2\/21)\/d*d))\/(d**(2\/21))**(-49))**(1\/5) assuming d is positive.\nAnswer: d**(689\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Suppose k - 2799 = -v*q, 13 - 38 = 5*k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 9597678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 42482958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1083277.99966 + -1083327. Let l = 49 + j. Round l to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 19. Let n = -21\/533 - 433245\/2132. Let p = n - -206. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 19*i**2 - 21*i - 51. Let f be b(-18). Suppose 2*y = 4*z + 46, -3*y + 8 = -2*y + f*z. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191100 divided by 13.\nAnswer: -14700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171, 1170, 1169, 1168, 1167, 1166?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -30*c**4 + 96*c**2 - 21*c - 21. Let u(m) = 6*m**4 - 19*m**2 + 4*m + 4. Let g(b) = -4*o(b) - 21*u(b). Find the third derivative of g(k) wrt k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Let b = x + -3.5. Let z = b - 4.5. Put z, -2\/7, 2 in decreasing order.\nAnswer: 2, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.1, 0.0943, -0.7, 1\/235 in descending order.\nAnswer: 0.1, 0.0943, 1\/235, -1\/2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1277005966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (32\/90)\/(-4)*33*210\/4158\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b + 93. Let a be q(-10). Suppose -2074 = a*p - 22133. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 20633?\nAnswer: -20642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006446 to 6 dps.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-16)\/30) - 45\/(-30). Find the common denominator of 139\/u*(17\/16)\/17 and 101\/144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 4, v: 1, b: 2, n: 1}. What is prob of picking 1 b and 1 n?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6*l - i**5 - 2*i**3*l + i**2*l + 27*i*l + 3*l wrt i.\nAnswer: -120*i**3*l - 60*i**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 1 - 2*h**2 - 6*h**4 + 2*h**4 + 6*h**4 to z*h**4 + d*h**2 + j + s*h**3 + v*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1358, 10037, 33574, 79391, 154910, 267553?\nAnswer: 424742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4497*w + 2195. Let d(z) = 2998*z + 1460. Let h(c) = -8*d(c) + 5*l(c). Differentiate h(o) wrt o.\nAnswer: -1499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - (-43)\/3. Suppose -4*l = l - i. Find the second derivative of 2*c + 2*c**3 - c - l*c wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 - -10.2. Let w = v - 7.1. Which is the third smallest value? (a) 5 (b) 0.3 (c) 0.06 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -31*z - 312. Let m(n) = 15*n + 145. Let h(d) = -15*m(d) - 7*r(d). Let b(j) = 2*j - 2. Give -22*b(o) - 6*h(o).\nAnswer: 4*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1291 + -402. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00789 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 + 561*k**2 - 809847*k - 810405 = 0?\nAnswer: -621, -1, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-40))**(-49) assuming a is positive.\nAnswer: a**1960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + (-203580)\/(-2394) + 3*10\/285?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024501 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -0.17 (b) -0.4 (c) 24\/85 (d) 2\/13 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2. Let w be o(-1). Let g(k) = -k + 1. Let h(x) = -3*x + 7. Let s(j) = 2*g(j) - h(j). Let f(i) = -i + 6. Let r(u) = -2*f(u) - 3*s(u). Give r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42231280)\/210 + 4\/3. What is h rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. Let r = l - -6. Suppose -r*x - 2*a + 3 - 4 = 0, 3 = 2*x + 5*a. Put -5, x, -3 in ascending order.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12157.704 + -4.\nAnswer: 12153.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2 + 63 + -70)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 6. Let w be t(-6). Let v(p) = 2*p**2 + 19*p. Let q be v(-10). What is the highest common divisor of w and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j**(-1\/2))**(-18))**(-1\/4) assuming j is positive.\nAnswer: j**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451 divided by 6?\nAnswer: -1451\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 5*p**2 + 6*p + 1. Suppose -a + 18 = -4*a. Let c be k(a). Find the first derivative of c - 34*x + 20*x + 6*x**3 + 14*x wrt x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1053094.\nAnswer: 10530940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:23 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*i + 340*i - 138*i.\nAnswer: 876*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 7*r - 1. Suppose -4*p + 28 = -0*z - 4*z, 5*p - 17 = -4*z. Let j be 30\/3*1\/z. Give a(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-1.7.\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 9. Let o = z + -7. Solve m + m + o = s, m = -3*s - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + 10. Let f be (1 + 1)*k\/2. Let i be -2 - (-444)\/54 - 4\/18. Solve -5*v + f*v = -i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-80)\/56*7 - -1086 is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 9*r**2 + 8*r + 7. Suppose -h + 5*h - 32 = 0. What is the remainder when (-2)\/(-7) - (-820)\/70 is divided by z(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/38 and 17\/7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 271*s**2 + 1785*s - 817. Calculate y(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m = 35*m - 16224. What is the greatest common divisor of m and 12636?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357732.4 weeks to days.\nAnswer: 2504126.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002110002 (base 3) to base 15.\nAnswer: -6562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-6) - 0)\/(12\/18). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1)**(-11\/3)*q**6\/q*q*q*q**4)\/((q\/(q*q\/(q*(q*(q*q*q\/(q*q**0))\/q)\/q)))**(3\/10))**(1\/13) assuming q is positive.\nAnswer: q**(1421\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(-9) + (-2)\/(-6). Is (-2 - 72)*b\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -4, -35, -102, -217, -392, -639?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 3.04. Let u = h + -2. Let w = 90071\/105 - 12868\/15. Put u, w, 2\/3 in increasing order.\nAnswer: w, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/4)\/(-4 + (-231)\/(-56))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 6. Suppose -1571 = 3*y + 4*j, 2*y + 708 = -2*j - 336. Let o = -515 - y. Solve -o = -n*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 3.61849\nAnswer: 6.875131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = -5 - 28 - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -226*v**3 + 3 - 230*v**3 + 455*v**3 + 6*v**2. What is s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 28. Solve 3*j + 0 = u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uus when three letters picked without replacement from {s: 6, w: 4, u: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {d: 7, m: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-784)\/224*-1*33\/(-22)*12.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 0.2 (c) 1\/6 (d) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3965 is divided by 810.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-92)\/28 - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.169054 millennia?\nAnswer: 6169.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(6\/(-4)*1). Let w = v + 1. Let z(y) = y**2 + 4*y - 2. Calculate z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvvx when four letters picked without replacement from {v: 4, x: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4 - 0. Suppose q*v = -51 + 41. What is the second smallest value in v, 10, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-583)\/318)\/((((-2)\/12)\/(-1))\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1, -8\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 29 = 45 - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.28 - -0.28. What is the nearest to -1 in 0.2, z, 0.8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*s + 39, -5*s - 6*n + 5 + 43 = 0. Calculate the least common multiple of s and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (30\/(-11))\/(-2))\/(-2). Let w = 1.03 + -0.03. What is the smallest value in f, w, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 35 = 5*w, 0 = 2*w + n + 6 + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172898 + 172898 + 1339*m to the form q + a*m and give a.\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 2*g - 3*g)*(2*g + 3*g + g) + 5*g**2 + 13*g**2 - g - 17*g**2 - 9 as o + i*g + b*g**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g - 118. Calculate h(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2636545 + -66841.\nAnswer: 2569704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84195 divided by -22.\nAnswer: -84195\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 9. Let f(a) = a - 3. Let r(d) = 3*f(d) - k(d). Let n(y) = 4*y + 0 + 8*y - 3 + 2*y. What is n(r(g))?\nAnswer: -14*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h + 1. Let o(y) = 4 - 2*y + 1 + 6. Let c(n) = 4*n**3 - 2*n**2 - 4*n + 7. Let j be c(1). Let z be o(j). Determine w(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/500 and 103\/4750.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1153 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnibi. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04913154 to four decimal places.\nAnswer: -0.0491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 115 + 115 - 30*s + 30*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1331\/(-66) - (31 + -40 + 38\/4).\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let m(d) = -3*d - 2. Let b(t) = 7*t + 5. Let q(v) = 2*b(v) + 5*m(v). Give q(o(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**3 - j. Let c be q(1). Suppose -7*r + 6*r = 130. Let t = r + 207. What is the highest common divisor of c and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 273.82215 months?\nAnswer: 0.228185125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -59, -122, -169, -176, -119?\n\"Answer: 4*c**3 - 28*c**2 + c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.32 + 1.1. Let k = m + 0.202. Let w = 0.069 + k. What is w rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202.1 + 202. What is the closest to c in 1\/5, 2, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(-4)*(17 - 2494\/145). Let s = 5 + 0. Which is the smallest value? (a) u (b) -4 (c) -3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*l + 12. Suppose -2*j - j = -z + 5, -l*j - 12 = -4*z. Let o = -943\/5729 + -4\/337. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -45 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903542101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**4 - 93*y**2 - 74*y - 257329 wrt y.\nAnswer: -8*y**3 - 186*y - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479 + (-2 - (-5 + 3 - -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1256, 2528, 3830, 5180, 6596, 8096, 9698, 11420?\nAnswer: 13280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = 4*a, 4*x - 24 = 2*a + 2*a. Suppose -3*o + 2*p + 181 = 0, x*o = -5*p + 360 - 25. Suppose -3*b + 0*b + o = 0. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75, 103, 189, 363, 655, 1095?\n\"Answer: 5*r**3 - r**2 - 4*r + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 116, 174, 232, 290, 348?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2079281.475 rounded to the nearest one thousand?\nAnswer: -2079000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/5)*n\/(n**(1\/4)\/n))\/(n**(1\/5)*n**(-2\/11)*n))\/(n*n**(-4)*n**(-3)*n**(2\/5)\/n*n**(-5)) assuming n is positive.\nAnswer: n**(2581\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11304 (base 6) to base 5\nAnswer: -22444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - k**2 - 3*k**2)*(15*k**2 - 217 + 217)*(215 - 210 + 92).\nAnswer: -2910*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168*x**2 + 754*x**2 - 2651*x**2.\nAnswer: -729*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 48. Let h = 15 - 15. Suppose 5*q + h*z = -3*z + 314, -x = -z. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 4*l**5 + 3*l**3 - 2*l**5 + 31 + l**5. Find the third derivative of u(z) wrt z.\nAnswer: 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 22 = 3*j, -j - a - 16 = -4*j. Suppose 8*w - 6*w - j = 0. What is the first derivative of 1 - 6 - 9*c**3 + 5 + w wrt c?\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14484.27113 + -14484. Let x = 0.27 - n. What is x rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32697102241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34830613.5 rounded to the nearest ten thousand?\nAnswer: -34830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (605\/(-440))\/(1*10\/(-80)*2).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5\/5 - 19*s**4\/4 + 76*s**3\/3 + 48*s**2 - 2198. Solve h(n) = 0.\nAnswer: -1, 0, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 4*j**2 - 2*j - 2. Let v be l(-4). Let h(y) be the first derivative of 3*y**2 - 7*y + 4. Does 16 divide h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16*o - 14. Let b(a) = 8*a + 7. Let p(q) = 5*b(q) + 2*r(q). Differentiate p(n) wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 168*d - 5. Let c(n) = -6*n + 2. Determine 3*c(q) - y(q).\nAnswer: -186*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m - u + 2*u, 4*m - u = 13. Suppose 0*c + 435 = 4*g - 5*c, 0 = -g + 5*c + 120. Let x = 103 - g. Sort m, -3, x in decreasing order.\nAnswer: m, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 8) to base 5.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*d, 5*r - 4*r = 3*d. Let b be 3\/2*(5 - 3). Let w(p) = p - b*p + r*p. Let z(f) = -10*f**2. What is z(w(k))?\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 5. Let n be z(-3). Put 2, -4, 11, n in increasing order.\nAnswer: -4, n, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -97?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/(-140) + -2 + (-16)\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + s + 1. Determine w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 2*c**2 + 2*c**2 + 20718004756*c - 20718004756*c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x - 4. Let j(f) = -7*f - 5. Let z(i) = 4*j(i) - 5*q(i). Let h(c) = 113*c**2. Calculate z(h(u)).\nAnswer: 226*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/20 - 7*r**4\/12 + 41*r**2\/2 - 35*r. Let u be m(-6). Let y = -3 - -3.5. Put 3, 4, y, u in descending order.\nAnswer: u, 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (0 - 0)) + 26. Let s = n - 19. Calculate the lowest common multiple of 2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23026 is divided by 7562.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 72 = 0. Let u = r - 112. What is the units digit of (30\/u)\/((-2)\/176)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6769744, -13539503, -20309262?\n\"Answer: -6769759*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27899 is divided by 537.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53808, -5, 0, 3, 2, -1.\nAnswer: -53808, -5, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17570, -17569, -17568, -17567, -17566, -17565?\n\"Answer: k - 17571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 5. Let h(o) = o + 1. Let f(k) = -g(k) + 3*h(k). Let v(y) = -2*y - 12. Let i(d) = 30*f(d) - 5*v(d). Let q(m) = m. What is i(q(j))?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -2\/17 (c) 0.1 (d) -67 (e) 403 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 4, -2*x + 4 = 2*p. Let c(m) be the second derivative of 9*m**5\/20 - m**4\/4 + m**3\/6 - 7*m**2\/2 - 151*m + 14. Is c(p) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/20 + (-1)\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15014.8661 + 15015. Round x to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/23, 0, -16, 0.7, 3\/8, 3\/4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 5*sqrt(33)*2)\/(-4*1*sqrt(3)).\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 - -1013\/7. Let j = 362 + -358. What is the fourth biggest value in -1\/3, m, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:07 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5\/2 - 375*p**4\/2 + 15327*p**3\/2 - 199209*p**2\/2 - 107457*p = 0.\nAnswer: -1, 0, 34, 43, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -281 (b) -1 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.6 - 16.7. Let u = 6 + -7.5. Let s = 1 + u. What is the biggest value in 2, g, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -121. Suppose 3 = 2*c - 2*t - 37, -5*c + t = -96. Calculate the highest common divisor of c and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 183, 418, 761, 1212, 1771?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4114800?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**3 + 8*a**2 + 10*a - 4. Let t(x) = -x**3 + 3*x**2 + 3*x - 1. What is -3*r(m) + 12*t(m)?\nAnswer: 3*m**3 + 12*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 91*r + 115*r + 50*r + 2 - 151*r. Let b(v) = 4*v. What is w(b(n))?\nAnswer: 420*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/(-60))\/((-99)\/(-54) + 15\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 36?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(140)*-1)\/sqrt(10) - sqrt(14))\/((sqrt(72) + sqrt(2) - sqrt(2))*-5))**2.\nAnswer: 7\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -3201?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 7*r + 6. Let b(p) = -2*p**4 - p**2 + p + 1. Let n(h) = -h**4 - h**3 - 20*h**2 - 8*h + 3. Let y(l) = r*b(l) - 5*n(l). Determine d so that y(d) = 0.\nAnswer: -1, 0, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -9*t - 23. Let k be (5 + t)*208\/48. Factor -k*i + 1\/3*i**4 - 2 - 7\/3*i**2 + 1\/3*i**3.\nAnswer: (i - 3)*(i + 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 19 = 54. Suppose 3*y + 492 + 223 = -2*t, -r*t - 10 = 0. Let v = y - -357. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1665 = 224*q + 769 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*x**2 - 1340*x**2 - 57*x**3.\nAnswer: -57*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 85*c + 5. What is f(-28)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaa when three letters picked without replacement from {a: 3, z: 2, l: 7}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-12)\/3 + 3). Suppose m - 18 = -l. What is the greatest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35600 rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/4, 0, 0.6, 0.01, -5\/6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**3 - 192*c**2 - 66*c + 113. List the prime factors of g(49).\nAnswer: 3, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 - -76. Let g = -204 + t. What is the greatest common divisor of 270 and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 - 14*w - 72. Let q be m(-6). What are the prime factors of 782 - (-6)\/(q\/(-14))?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1470*a**2 + 833*a - 3985543?\nAnswer: -2940*a + 833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 636.466088 to one decimal place.\nAnswer: 636.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 6. What are the prime factors of i(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 0 = -h - 9, 101*b - 11 = 102*b - 5*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -558213, -1116429, -1674647, -2232867, -2791089, -3349313?\nAnswer: -3907539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 3 + 2*l - 1)*(-1 + 2*l**4 + 1 + 6*l**4 - 3*l**4 + 0*l**4 + (-2*l**2 + l - l)*(-2*l**2 - l**2 + 2*l**2)).\nAnswer: -14*l**5 - 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5567 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 40\/9, -4, 1, 1\/2, -0.1, -127?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56216 and 544.\nAnswer: 3822688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 81.6 * -6207\nAnswer: -506491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6290?\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3 - 6 - m - 5 + 2. Let k be p(-8). Suppose 200 = 4*j + 7*d - 2*d, -4*d = -k*j + 74. Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -21*c**3 + 227*c**2 + 68*c + 4. Let g(b) = b**2 + b + 2. Let w(f) = 2*g(f) - o(f). Let w(k) = 0. What is k?\nAnswer: -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 5, -122, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 4:19 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g**2 - 2*g + g**3 + g**2 + 1. Let w be a(1). Is 21 a factor of (-1)\/(w\/(-40)) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 630, 1247, 1852, 2439, 3002, 3535, 4032?\n\"Answer: -y**3 + 624*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + (sqrt(1539) + 0 - sqrt(1539))*-3)*3*3 + (sqrt(1539) - -2*(sqrt(1539)*-1 + sqrt(1539)) - (5 + 1*sqrt(1539))))**2.\nAnswer: -810*sqrt(19) + 124684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 + 6 + 0) - (8 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 + 2*x**3\/3 - 2*x**2 - 3*x + 4. Let b be j(-3). Suppose b = -h + 19. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6613.4 + -6613. Which is the fourth biggest value? (a) -0.1 (b) 13 (c) x (d) -2\/9 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 10*d**2 - 2*d**3 + 9*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159323.\nAnswer: 107, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 8*f**2 + 8*f - 45. Let h be c(4). Solve h*x + 29*x - 160 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 12*n - 18. Let v be b(-11). Let p(g) = 5*g**2 + 1. Let o = -117 + 121. Let t(h) = 9*h**2 - h + 2. What is o*t(r) + v*p(r)?\nAnswer: r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(2*1) - (-5187)\/6916)*-20.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (521\/(-12))\/((-2)\/4). Let a = 87 - b. Is -1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + w - 132 = 78 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*u + 274*u + 108 = -26*h, 0 = -3*h + 3*u - 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 644*o**3 + 33288*o**2 + 531760*o - 1201888.\nAnswer: 4*(o - 2)*(o + 46)**2*(o + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918667.\nAnswer: 167, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 998 + 1001 - 17*n + 53*n in the form g*n + k*n**2 + z and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 50 - 80 - 120 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/7 - 116*t**4\/7 + 4*t**3\/7 + 232*t**2\/7 - 2*t\/7 - 116\/7 = 0. Calculate t.\nAnswer: -58, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78721 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 962120, 962121, 962122?\n\"Answer: m + 962119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1090 and 110?\nAnswer: 11990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (6 - ((4 - 3) + 1)). Solve -3*z + 5*v = 3, 1 = -3*z + 3*v - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 794, 1753, 3064, 4709, 6670, 8929, 11468?\nAnswer: 14269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 9687 + 9806 = -5*w, 5*o + 8*w + 179 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 85414246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*a**2 + 4\/5 - 2\/5*a = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -g. Let y = g - 2. Suppose -5*a + 0*p = -3*p - 17, -y = p. Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g - 48. Let x = g - -15. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102)*-2 - sqrt(102))*2 + sqrt(102))\/((sqrt(6) - (sqrt(6) - sqrt(12)\/sqrt(2)))*5).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13769, -27537, -41307, -55079, -68853, -82629, -96407?\n\"Answer: -o**2 - 13765*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1456 and -161\/913536.\nAnswer: 6394752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1500 or -308?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 23*f - 1. Let s be t(14). Suppose 4*v - s = 887. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - q**2 + 3. What is y(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -21320?\nAnswer: -21311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -231 (b) 1\/4 (c) -4553\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 63424*o + 24850032.\nAnswer: 4*(o - 15454)*(o - 402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f + 1678 = 20*f - y, -2*f - 58 = -13*y + 14*y for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 1. Let x be 9\/2*(-6)\/3. Is l < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -27*(-9)\/(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)*4 + (-2*sqrt(108))\/sqrt(4))\/(sqrt(576)*6*-2).\nAnswer: -23*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 373*c**2 + 23*c + 35. Is a(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrlirarirrqiroairrir. What is prob of sequence ilo?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/17)*i)\/i*i**(1\/11)\/i*i*i\/((i\/i**(-11)*i)\/i)*i\/((i**(2\/15)*i)\/i)*i assuming i is positive.\nAnswer: i**(-25199\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14414 (base 6) to base 12.\nAnswer: -140a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3629107*a - 40128592*a - 5235818*a.\nAnswer: -41735303*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 greater than or equal to 387908\/537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 at least 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p + 5*m, 2*p + 5*m + 5 = 0. Suppose 259661 = -p*a - 90339. Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 206052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8867\/12 in 3\/16, -0.6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2342.246*-2\nAnswer: -4684.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*v + 100 = 0, -5*v = -5*h + 339 + 131. What is the highest common factor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95293129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93096728?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 bigger than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(68) - ((sqrt(68) - sqrt(68)*2) + sqrt(68) - sqrt(68))) - sqrt(68) - sqrt(68)) + sqrt(68))\/(sqrt(4) + sqrt(64) + sqrt(64)*-1)*6.\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (0 + 0) - 1. Let r be (m\/(-3))\/(6\/54). Find the second derivative of -4*d + 2*d**3 + 6*d + 3*d**r - 3*d**3 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 2:26 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 0*y = -154 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -69026200 rounded to the nearest 1000000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4192084 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5694 = 504211*s - 504284*s for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 28288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (448\/4)\/(-16)*1311\/161?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.42? (a) 1\/3 (b) -5 (c) 3\/7 (d) -0.3 (e) 4 (f) -0.062\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*w - 16 + 2 = 0, 5*w = 0. Suppose -z*q + 16 = -3*q. Solve 0 = q*b - 7*b - 6, 9 = -3*m - 3*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 62*f - 64*f - 4 = 10, -6 = -6*n - 3*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -69. Let g = -58.4 - -58.6. Let c = 9 + 14. What is the third smallest value in w, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.2. Let l = r - 0.3. Let u = 1 - 0.7. Sort -0.1, l, u in ascending order.\nAnswer: -0.1, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 4, g: 1, o: 4, x: 3, u: 1}. What is prob of sequence ougx?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:11 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - 5*w + 4. Let q(c) = -11*c + 158. Let k be q(14). Let r(f) = f**2 - f - 1. Give k*r(z) + b(z).\nAnswer: -2*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14976 and 1088?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**4 + c**4 + 0*c**4 + (2*c + c**2 - 2*c)*(-c - 2*c**2 + c) - 2*c**4 - c**4 + 0*c**4.\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 18\/5*z**5 + 11*z**2 + 0*z + 0*z**3 + 17 + 0*z**4. Find the second derivative of v(j) wrt j.\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128099 + 242099. Round o to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 464, 67, 1 in ascending order.\nAnswer: 1, 67, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 3, -3, 5, 14 in descending order.\nAnswer: 14, 5, 3, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*c**2*h**3 - 7614*c**2*h + 2*h**3 - h**2 + 56592 wrt c?\nAnswer: 120*c*h**3 - 15228*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095296 is divided by 2095287.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 5682*m + 17064.\nAnswer: -2*(m - 3)*(m + 2844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + 27?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*c + 80 = -3, 3*c - 36 = -2*i. Let r be 28*((-28)\/8 + 0). Let k = 103 + r. Solve -4*s + 4*j - 5*j = i, 4*j = k*s + 45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*sqrt(891)*2.\nAnswer: -270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 219 = 221 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1401*c**2 - c - 1. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -339*h - 89. What is the remainder when j(-1) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/3 (b) 2 (c) 1052 (d) -44\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y = -13*y - 153 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35531*v**5 + 2439*v + 4 wrt v?\nAnswer: 710620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:27 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3820, 15369, 34622, 61579, 96240, 138605, 188674?\nAnswer: 246447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -1127?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4116.424 grams to nanograms.\nAnswer: 4116424000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/51 and ((-3064)\/(-224) - 14)*(-4)\/17.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - -0.4. Let x = h + -2. Let l = 0.2 - 0.7. What is the third smallest value in -1, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -327.037?\nAnswer: -327.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(4\/(-24))*5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 14*g**2 - 12*g - 16. Suppose -4*q - 53 = -5*f, -3*f - 46 + 100 = 5*q. What is i(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1351*z**2 + 8*z - 2. Let j(o) = 901*o**2 - 5*o + 1. Determine 5*c(m) + 8*j(m).\nAnswer: 453*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:48 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*q + 9*s, -9 = s - 6 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.8472854 rounded to one decimal place?\nAnswer: -70.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-8) - 31187\/(-104). Let t be (n\/1)\/((-12)\/744). Round t to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1386052.00017 + 1386042. Let n = k + 10. What is n rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*v = 0, -2*x - 7*v + 35 = 80 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -a37537?\nAnswer: a37533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 889296 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**6\/50 + 3*j**5\/100 - 3*j**4\/20 - j**3\/10 + 3*j**2\/5 - 3*j - 1. Suppose m(h) = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5643 by 3.\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23476497 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -316*-0.03\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14*h + 6. Suppose 0 = 2*w + 3*w - 5*s + 65, 0 = 4*w + 3*s + 24. Let v be o(w). Let r = -922\/7 + v. What is the second smallest value in r, 2, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1770, 1773, 1776, 1779?\n\"Answer: 3*a + 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**2 - 3*i**5 - 17 - 440*i**3 + 48*i**5 + 444*i**3 + 15 + 4*i**2 wrt i.\nAnswer: 2700*i**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 6. Let u be i(-7). Find the third derivative of -1 + k**2 - k**5 + u wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f + 70 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/65))**(-3\/4))**(-4\/7))**(-12) assuming j is positive.\nAnswer: j**(-72\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a milligram in micrograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394 - 445 + 38*i**3 + 839.\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16*o**2 - 2*o - 1. Let f be a(-1). Suppose 3*s - 3 = -j + 6, 0 = 5*j + s - f. Determine i so that -3*i - i**3 - 2 + 4*i**j + 2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 12784958*l - 40863787765441.\nAnswer: -(l + 6392479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202\/5 or -72\/115?\nAnswer: -202\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 5*m - 7. Let n be h(-5). Let b(j) = -j**2 - 9*j - 10. Let w be b(n). Let t(r) = 3*r - 6. What is the units digit of t(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168260 is divided by 8841.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12103893 (base 10) in base 14?\nAnswer: 187107b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f + 1. Suppose 9*r - 177 = -42. Let g(q) = -r + 5 + 32*q + 5*q**2 - 28*q + 15. Give -g(p) + 4*k(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -11322?\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 80*b**3 + 115*b**2 + 1700*b + 1500.\nAnswer: 5*(b - 10)**2*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - q. Let i(y) = y**3 + 4*y**2 + y. Give 3*i(m) + 5*l(m).\nAnswer: 3*m**3 + 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -330*j**6 + 2*j**2 - 126*j?\nAnswer: -39600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 3. Let g be j(2). Suppose -5*p + 0*p + g = 3*v, 4*v = -p + 7. Suppose 4*x + 14 = -5*c - v, 2*x = -4*c - 14. Let z(i) = -5*i - 1. Give z(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739 = 15*q - 1091. List the prime factors of q.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7694224 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: Sort -750, 7, 8, -4, -5.\nAnswer: -750, -5, -4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 2296*f**2\/3 + 37888*f + 459264.\nAnswer: -2*(f - 1196)*(f + 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/10)\/(((-42)\/15)\/7). Suppose 1 = -b*z + 28. Find the second derivative of -5*o**3 - 3*o**2 + z*o**2 - 18*o**3 + 23*o wrt o.\nAnswer: -138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -1\/2*f**2 + 0 + 1\/80*f**5 + 2*f - 1\/24*f**3 + 1\/48*f**4. Let m(a) be the first derivative of t(a). Solve m(k) = 0 for k.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 856741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m - 17. Suppose 3*b = -4*y - 16 - 4, 3*y = 3. What is the units digit of u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**3 - j**2)*(-2*j - 2*j + 2*j + (1 + 2*j - 1)*(-1 + 0 + 0) - 2*j - 2*j + 3*j + 516*j - 5 - 7 - 517*j).\nAnswer: -6*j**4 - 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 37 = 4*q + 85, 2*m + 5*q = 24 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/168 + o**6\/18 + o**5\/8 - 15*o**4\/4 + 14*o**3 - 91*o**2. Let z(c) be the first derivative of s(c). Factor z(a).\nAnswer: -5*(a - 3)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 27 - (-4 + 4 - -15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = 0. Solve v - 6*v - 5 = q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:14 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 608 and 152?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 1074*s + 29573. Give n(-30).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-296)\/7 - (-10)\/35. Let x = u + -102. Let v = x + 252. What is the highest common divisor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (418\/(-77))\/((-3)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -36739*p + 36791. What is b(1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2398 or -2400?\nAnswer: -2400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u - 12. Determine l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2411, -2440, -2493, -2582, -2719, -2916?\n\"Answer: -2*k**3 - 15*k - 2394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3478 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 298*s - 4 + 3 + 55*s + 241*s.\nAnswer: -2*s - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -59. Let a = c + 7. Let t be ((-10)\/(-4))\/(a\/(-36)). Solve u - b - 3*b = -5, t*b - 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/120 - 7*k**5\/60 - k**4\/24 - 4*k**3\/3 + 2*k**2. What is t(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3062 + -2467.1. Let s = -595 + h. Are 85\/14 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -2*t**3\/3 + t**2 - 3*t - 5. Let z(s) = 2 + 4*s**2 - s**2 - 3*s**2 + 4*s + 2*s**2. Let w be z(-2). Calculate x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(33)*-3)\/sqrt(3) + sqrt(88)\/sqrt(8) + -5.\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6202*x + 471546 = 1388*x + 1656*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**5\/10 - 53*q**4\/24 - q**3\/6 + 22*q. Let z(r) be the second derivative of h(r). Does 13 divide z(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145454?\nAnswer: 2, 3, 190909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 536 and 3302229?\nAnswer: 26417832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/106*22*5\/(-660)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 39, 0.5, -446\/7, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 + 212. What is the tens digit of 122*(y\/(-8) + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 180?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 - 159*m - 31. Let f be a(-26). Solve 5*q + 52 = f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620102 (base 12) in base 11?\nAnswer: -958a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**6\/120 + m**5\/20 + m**4\/24 - m**3\/6 - m**2\/2 + 2*m. Let x(h) be the first derivative of w(h). Determine x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33011 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = n - 3*n. Calculate the lowest common multiple of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 0*t = -4*t + 18, -5*t + 8 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191212452 divided by 4?\nAnswer: 47803113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2, 3, -1\/3, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*h)*(-3 + 1 + 0) + h - 4*h + 2*h + (-5 - 7 + 2)*(2*h + h - 2*h) to the form y*h + i and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/560 and -79\/770.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -12241330?\nAnswer: -12241326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2 - 8. Let j = -1 + i. Let u be (-14)\/j + (-1)\/(-2). Solve u = -0*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - 3*s**2 + 4*s - 3. Let c(t) = -t**3 - t**2 - t + 1. Let b(a) = -c(a) - r(a). What is b(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4090*i + 17. Suppose -17*g + 14 = -37. Is b(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3924 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b**2 - 38*b + 251. Give d(10).\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.062377 and 0.4.\nAnswer: 0.0249508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 1819*f**4\/2 + 149*f**2\/2 - 9*f - 4502. Find the second derivative of i(r) wrt r.\nAnswer: 21828*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651952862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9111*f + 5*j + 61 = 9115*f, -4*j = -f + 18 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3*(-4206)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(w - 3 + 3)*(-3 + 5 - 1).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:57 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172786 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-3))\/(13\/(-39)). Suppose 14*s - y*s - 10053 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758011436 divided by -2082449?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 9:21 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 463168116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730, -3095, -6540, -10657, -15038, -19275, -22960, -25685?\nAnswer: -27042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004669204678 to 6 dps.\nAnswer: -0.000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 12074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**7\/6300 - x**6\/900 + x**5\/300 - x**4\/8 - x**2. Let f(d) be the second derivative of c(d). Suppose f(y) = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 37*v**2 - 39*v + 6. Let r(p) = 7*p**2 - 8*p + 1. What is -2*o(k) + 11*r(k)?\nAnswer: 3*k**2 - 10*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 33*m = -3*m + 3090408. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 119 = 28*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6963*i**2*l*x**2 - 3*i**2*l + 5*i**2*x**2 - 2*i*l*x**2 - i*x + 8042*l*x + 2*x wrt i.\nAnswer: 13926*l*x**2 - 6*l + 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**4 - 27*m**3 + 3140*m**2 - 5*m + 2982703?\nAnswer: -8*m**3 - 81*m**2 + 6280*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u + 66. Let t be q(-13). Let g be (-14)\/t - (2 - (-14)\/(-6)). Let n = 1 + -6. Which is the second smallest value? (a) g (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3616 (base 7) to base 4\nAnswer: 110320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1169944950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 + 2*h + 2. Let c be o(-2). Suppose -p - w = w - 11, c*p + 2*w = 16. Are p and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -55.2. Is -0.1 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(11) - (sqrt(66)*-1)\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014216 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsjm when four letters picked without replacement from {g: 1, j: 1, m: 2, s: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z - 3. Let l be r(3). Suppose l = -3*m + 19 - 4. What is the derivative of 2*p**3 - 5*p**2 + m*p**2 + 4 + 0 wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 792 + -59. What are the prime factors of h?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*g - 4*g + 2 = 0, 3*g = 9. Let q(i) = -6*i + 1 + 3*i - 3. Let s(v) = -4*v - 3. Let j = -10513 - -10510. Calculate j*q(h) + r*s(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446 + 442. Let t be 0 + 0 + 8\/(-4). Put n, 5, 9, t in decreasing order.\nAnswer: 9, 5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-14)*(-28)\/6. Solve 4*s = -5*b - 12, 5*b - m*s + 18 = -5*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550 + -343. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181762.\nAnswer: 2, 7, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39959312?\nAnswer: 2, 2497457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/312*-3)\/((-65568)\/35516).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 35. Suppose 0 = -5*k - 2*q + 21, -k - q + 0 = -6. Sort k, -4, c.\nAnswer: -4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajql when four letters picked without replacement from {a: 3, l: 3, d: 2, s: 1, j: 7, q: 2}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92011 and 32421?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 889 - 860. Solve 1 = 14*i + w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10440751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -771?\nAnswer: -5\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.341158476 less than -7513?\nAnswer: -7548.341158476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1\/6*-2). Let t be 5 + (-1 - -7 - 3). Suppose v*a = 1 + t. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 189848196 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -32. Sort 0.5, l, -0.01 in increasing order.\nAnswer: l, -0.01, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - -6*2*sqrt(500)) + sqrt(500) + (sqrt(500) + -3)*1 - 6*(-3*(-1 + sqrt(500)) + (1*-2*sqrt(500) - sqrt(500)) + sqrt(500))**2.\nAnswer: -75057 + 1950*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.43361742 rounded to 3 dps?\nAnswer: 40.434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5611*a - 67. List the prime factors of r(1).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((16120\/(-124))\/(-1820))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6*m**1*(m**(-2\/7))**(-1\/13) assuming m is positive.\nAnswer: m**(639\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 2. Let x be z(4). Let q(n) = 9*n**3 + 6*n**2 + 6*n. Let f(k) = -8*k**3 - 5*k**2 - 5*k. Determine x*f(i) - 5*q(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 - 4)) + 3 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m\/m**(-8))\/m))\/m)\/m**(-1))**(-2\/19)*(m**(-8)\/m**5)**(1\/13) assuming m is positive.\nAnswer: m**(-5\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 31 = -y, 0 = -8*x + 4*y + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -1629, -3788, -6801, -10656, -15341, -20844?\nAnswer: -27153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 3.9, 0.7, 6 in descending order.\nAnswer: 6, 3.9, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (524\/2751)\/((-990)\/(-77))\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104077.\nAnswer: 199, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.8, -0.2, 40?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 262, 0 in descending order.\nAnswer: 262, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -79719 at most as big as -79621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238260655.\nAnswer: 5, 3947, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and -97\/1464.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -18, -45, -82, -129, -186, -253?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/4 + 1551415*h\/4 - 1551419 = 0.\nAnswer: -1551419, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:02 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4159738 and 17189?\nAnswer: 4159738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 159*c + 41133. Determine t(-255).\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*sqrt(405)*2 - (sqrt(405) - (sqrt(405) - (1 + sqrt(405)))*3))**2 + 5)*-6.\nAnswer: -882342 - 10692*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 14 + -11 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000100011101 + -111110?\nAnswer: -10101000101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 483.5333mg?\nAnswer: 483533.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 10*m**2 + 7*m - 33. Calculate the lowest common multiple of 32 and h(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + w + 11978 = -0*w, -5*j - 2*w - 14974 = 0. Let p be 1 - (j\/18 - (-2)\/(-3)). Let l = p - 99. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2415 + 186. What is the remainder when c is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1820 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1729552833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*l - 29157 = 1287299. What are the prime factors of l?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 6. Suppose -q*t = -2*t - 16. Solve -a = -x - 0*a - 2, t*a - 12 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -26*v**4 + 28. Let k(x) = 25*x**4 - 27. Let r(m) = -3*k(m) - 2*u(m). Differentiate r(h) with respect to h.\nAnswer: -92*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3447 = 4*k, 3437 = 4*k - 3*t + 2*t. Suppose -36*f + 38*f + k = 0. Let z = 826 + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16731290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 117 - 1165*l + 103 + 22.\nAnswer: -1165*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*w**2 - 4 + 6 + 427*w**2 + (w + 0*w - 3*w)*(w - w + 2*w) as b*w + i + x*w**2 and give x.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aaa7 (base 11) to base 13.\nAnswer: -10432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8782*k + 436 + 8957*k + 251 - 148 wrt k.\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*f**3 + 7*a**3*f + 22*a*f**5 + 13*f wrt f?\nAnswer: -6*a**3*f + 440*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -6)*(-45 + 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 162627197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38\/205 + 11458\/4305. Let s = p + -15\/7. Let y = -36431 - -36432. What is the second smallest value in 2, s, 2\/9, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -254 - 205. Suppose -4*z + y + 29 = 0. Sort -3, -2, z, -1.\nAnswer: -3, -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/22 + (-12 - (-1833768)\/198)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*f + 24 = 55*f. Suppose -f = 5*p - 37. Suppose 10*a - 420 + 100 = 0. Solve -p*g - a + 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 426762\/44 - (-2 - (3 + -4)). Let m = 9703 - u. Let y = -8521\/2898 + 32\/207. Find the common denominator of y and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4740568*d**2*v**3*y - 3*d**2*v**2*y**2 - d*v**3*y**2 + d*v*y**2 - 4098*d*v*y + d*v + v**3*y**2 + v**3*y - 2*y wrt d.\nAnswer: 9481136*v**3*y - 6*v**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 6. Let f be z(4). Let n(l) = 2*l**2 - 4*l - 4. Calculate the lowest common multiple of n(f) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -254842.87761?\nAnswer: 254843.17761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -77. Let k be ((-12)\/21)\/(-4) - f\/154. Sort k, -4, 0 in decreasing order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181480, -725914, -1633304, -2903650, -4536952?\nAnswer: -6533210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u. Let y be (-2)\/(-4)*(u - -1). Let c = 3.97541 + 0.02459. What is the third biggest value in y, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(6 - 12)*-2 + 5517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i - i - 3*i)*(14 + 854*i + 2099*i + 2 - 412*i + 2541*i) in the form j*i + p*i**2 + y and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + l + 3*l = 125, -37 = -h + l. What is the greatest common divisor of 1781 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102485.\nAnswer: 5, 103, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 68*w = -41*w + 10431. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/21 - ((-3)\/9 + 0). Which is the second smallest value? (a) -2\/3 (b) w (c) -0.01 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 657\/72 - (9 - 0\/8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3889158577 to the nearest integer?\nAnswer: 62363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 136824.1.\nAnswer: 136823.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11467, -11471, -11487, -11521, -11579, -11667, -11791?\nAnswer: -11957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/(-792) + 24\/44?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + 11?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -602565327 - 3564?\nAnswer: -602568891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1338 - 1092 = -81*x for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -705.8725 to the nearest integer.\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48430 is divided by 3234?\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 - 2*j - 120. Give i(0).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15468292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3 - s)*(1315*s**2 - 654*s**2 - 36*s - 658*s**2).\nAnswer: -3*s**3 + 45*s**2 - 108*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-6)\/p)\/p))**(2\/5))**(-4\/13) assuming p is positive.\nAnswer: p**(-72\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -842 + 858. Let r(m) = m**2 + 7*m + 4. Let n be r(-7). Solve -4*b = 5*x - i, -n*x = b + x - 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 - 917 = 96*h + 294 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 13. Let z(w) be the third derivative of 5*w**4\/12 + 130*w**3\/3 + 306*w**2. Let j be z(-26). Is j < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckcckckkcccck. Give prob of picking 2 k and 1 c.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 6*p - 4. Suppose 0*b = 3*b + 9. Let z be d(b). Suppose 55 = 3*i + 2*i + z*w, 37 = 3*i + 5*w. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-322)\/65 + 25 + -20)*(402 + -397)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + -854?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/121736 and -51\/23240.\nAnswer: 353643080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -3, 11, 0, -4 in descending order.\nAnswer: 33, 11, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdxx when four letters picked without replacement from dxxxxxxxxxxxx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let f = d + 6. Solve f*u - 10 = 8*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7943 = -827*r + 996*r for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - 9 - (5 + (-1 - 0)). Let i be ((-728)\/(-70))\/(r\/(-15)). Let p = -28 + 41. Calculate the highest common factor of p and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-10)\/14 - (-171)\/63. Solve 0 = -2*k - 3*k - s*t - 22, 0 = -2*k + 2*t - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 9*j - 4*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 + 6*y + 13. Let w(n) = 3*n**2 + 3*n + 7. Let k(g) = 6*l(g) - 11*w(g). Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189692 and 314900?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 8 = -l + 1, -24 = 3*l + 2*g. Let m(v) = v + 14*v**3 - 33*v**3 + 7 + 6*v**2 + 20*v**3. What is m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12856, 12878, 12914, 12964, 13028, 13106, 13198?\nAnswer: 13304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2)\/(-2)*-1. Suppose -4 = 2*w - b*w. Suppose 5*p = w*l - 37, -4*l = -p - 24 - 5. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 41. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061895515 rounded to 5 dps?\nAnswer: -0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2278877 + 4\nAnswer: -2278873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omo when three letters picked without replacement from {m: 4, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let h(k) = 7*k**2 - 3*k**2 + 19*k**2. What is h(g(p))?\nAnswer: 92*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21665, 69986, 144961, 246590, 374873, 529810?\nAnswer: 711401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 71417?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, x: 2}. Give prob of picking 1 x and 3 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -8.82.\nAnswer: -9.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -y + 5, -6*y = 5*m - 5*y - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = 45. Let t = i - -25. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1100 divided by 11.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*l = -0*f + 108, -3*f = -l - 73. Let z = f + -13. What is the common denominator of -55\/6 and (42\/(-486))\/(2\/z)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -539 - -539.3. Which is the closest to 1130? (a) v (b) 3\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Find the second derivative of -s*g + 2*g + 3*g - 3*g**2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(1300) + (-3 + sqrt(1300))*4)**2.\nAnswer: 1200*sqrt(13) + 32644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2596783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 - o + 3*o**2 - o + 22*o. Let c be w(20). Solve -5*v + 14 + 1 = c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**2 - 1879 + 1078 + 800.\nAnswer: -44*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769680?\nAnswer: 2, 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, -152, -268, -408?\n\"Answer: -12*i**2 - 56*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1339, -2684, -4033, -5386, -6743, -8104, -9469?\n\"Answer: -2*x**2 - 1339*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**4\/6 + 268*f**2. Let s(w) = -w**2 - 23*w. Determine s(v(a)).\nAnswer: -16*a**2 - 92*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 - 3*f**2 - 3*f + 3. Let k(l) = -17*l**3 - 13*l**2 - 2 - 13*l + 1 + 14. Determine -26*b(r) + 6*k(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, e: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**3 - 6*f - 1. Let o(r) = 8*r**3 + 7*r. Let i(s) = 6*o(s) + 7*y(s). Let b(t) = -t**2 - 17*t. Let x be b(-17). Give i(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*y + 62387 = 62382, d - 2 = 2*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 962946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21980, 21729, 21478, 21227?\nAnswer: 20976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/1513388?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1424577 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65902 (base 11) in base 10?\nAnswer: 95592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 8 - 8. Suppose f = -2*y + 4, 5*j - 2*y = -7*y + 10. Suppose 3*z - 20 + 53 = 0. Sort z, j, 3 in decreasing order.\nAnswer: 3, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245 - 226. What is the remainder when 188 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 7:01 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 13. Suppose -6*z - 8 = -g*z. Suppose 5*p = 3*a + a - 45, 15 = 2*a - p. Solve z*w = -s - 2, 4*s - 4*w = -a*w - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + x**2 - 2*x. What are the prime factors of s(3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0652 - 0.0148. Which is the second smallest value? (a) w (b) -4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 3*g**3 + 4*g**3 + (0 + 2 - 4)*(-2*g**3 - 1 + 1) + (-3*g - 3*g + 5*g)*(0*g**2 + 2*g**2 - g**2) + 0*g**3 + 2*g**3 + 0*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 859\/6111 + 2\/873. Find m, given that y*m + 0 - 1\/7*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 - 2*g - 2. Let c(n) = -n**3 - 4*n**2 + 10*n + 8. Let j be c(-6). Suppose 0 = -5*a - j, -3*w + 9 + 1 = -a. What is the tens digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 49963869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*u - 21, -5*s + 7*s = -2*u + 18. Solve 0 = s*c - 3*c - x + 15, -c = 2*x + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/10 + 758\/378. Let o = -825 + 825.3. Which is the smallest value? (a) -1 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4333113 (base 5) in base 9?\nAnswer: -122647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117*i*j*p - 60*i*j + 3469*i*p + 4*j*p - 1313562*j wrt p.\nAnswer: -117*i*j + 3469*i + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 5:41 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 41 = -2*b - 44, 0 = 3*n - b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 1089 = -4*v - 1126, 4*l - 3*v - 20 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69219733*y + 45907331 wrt y.\nAnswer: -69219733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 566, 560, 554, 548?\n\"Answer: -6*u + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t + 6 = -59*t. Suppose 10 - 2 = 2*u. Suppose -2*l = 8, t*r + 67 = u*r + 5*l. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, 3, 13, -5 in decreasing order.\nAnswer: 134, 13, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 + 7910*v - 3128405 = 0. Calculate v.\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-17))\/(p*p\/(p*p**(1\/6)*p))*(p*p**(3\/2)*p)**(-32) assuming p is positive.\nAnswer: p**(-767\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57490 + 86369. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 6*(sqrt(8) - sqrt(8)*4))\/(3*sqrt(64)).\nAnswer: -17*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12967)\/(-6) + 16\/(-96) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 16125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, -1.4, -3\/2, -4, 4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19309 and 258?\nAnswer: -4981722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r - 362 = -142 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.4 - -25.4. Which is the closest to 0.1? (a) 5 (b) 3 (c) u (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-213)\/(-284) - 10\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -236, -132, 4.\nAnswer: -236, -132, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 2*k + 4. Let j be s(3). Let f = j + -25. Let h be (2\/4)\/(1\/4). Solve f = -4*q - 4*o + 4, o + 3 - 13 = h*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 710 + -522. Calculate the smallest common multiple of 12 and j.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + 2*d + 3. Let k be o(-8). Suppose j - 57 = -0*j - b, -4*j - b = -k. Calculate the greatest common factor of 155 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 0*p**3 - 5*p**3 + (-90*p**2 - 31*p**2 + 15*p**2)*(-4*p - p + 2*p).\nAnswer: 312*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 54014850.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ook when three letters picked without replacement from {k: 7, o: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 3*z**2 + 4*z - 2. Let r be n(2). Suppose 8 = r*c, -u + 3*u + 18 = -2*c. Let m(i) = i**2 + 13*i + 10. Let j be m(u). Solve -j = -g - 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82513 by -21.\nAnswer: 82513\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7820 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1067071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19450.57098 rounded to the nearest integer?\nAnswer: -19451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.046 (b) 5 (c) 0 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t**3 - 4*t - 11. Let h(w) = -9*w - 30 + 11 + 28*w**3 - 3 + 0. Let g(z) = -4*h(z) + 9*n(z). Find the first derivative of g(o) wrt o.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(4\/(-12))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 740 + 1?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 1\/6*k**2 - 4 + 0*k + 1\/12*k**4 + 2\/9*k**3. Factor s(u).\nAnswer: u*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10947*i**2 - 25109.\nAnswer: -21894*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 402 + -4424\/11. Let g = -1 + 1. Put a, -0.2, g in descending order.\nAnswer: g, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 67 + 10881*n**2 + 4238*n**2 + 11620*n**2 + 44)*(-3*n + 3*n + n) to j*n**3 + s + w*n**2 + z*n and give j.\nAnswer: 26739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 147976 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4 + 5*q**2 - 513*q wrt q?\nAnswer: 24*q**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -16. Let w be (z\/(-2))\/((-11)\/66). Let i = w - -18. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12b - -ac?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -1922.47063079\nAnswer: 1922.67063079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + s**2 - 2*s**2)*(2*s + 3*s + 3*s) - s + s**3 + 10*s**3 - s to the form k + i*s**2 + t*s**3 + b*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(-1*sqrt(250)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 2, c: 4, z: 4, r: 3, a: 1}. What is prob of sequence ra?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -13*v**3 - 3*v**2 + 3. Let x(t) = -40*t**3 - 10*t**2 + 10. Calculate 10*m(d) - 3*x(d).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1125, -2251, -3377?\nAnswer: -4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126531 by 153.\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17*-3*(-6 - -11) - 9. Calculate the highest common divisor of v and 3813.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 113 = -4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 20. What is the smallest common multiple of (-28)\/(-7)*(-1 + 2) and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 892*o**4 + 908*o**4 - 4 + o + (2*o + 2*o - 2*o)*(-7*o**3 - 5*o**3 - 2*o**3).\nAnswer: -12*o**4 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -100, -230, -442, -730, -1088?\n\"Answer: a**3 - 47*a**2 + 4*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32153730 divided by 2.\nAnswer: -16076865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75160\/105567 - 1\/6398. What is the common denominator of -151\/48 and x?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -36 - 48. Let a(m) = 20*m**2 - 14*m + 14. Let x(o) = -7*o**2 + 5*o - 5. Calculate l*x(h) + 5*a(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 820260 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 821?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f + 69. Let c be m(6). Suppose -c*x + 52513 = 8*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2775 and 1425?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g**2 + 117*g + 48. Let r(h) = -21*h**2 - 80*h - 32. Calculate -5*i(z) - 7*r(z).\nAnswer: -8*z**2 - 25*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -59, 159, -4, -211 in decreasing order.\nAnswer: 159, 11, 2, -4, -59, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**3 + w**2 - w - 2. Let d(j) = 19*j**3 - 6*j**2 + 4*j + 9. Let k(y) = -3*d(y) - 14*n(y). What is k(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let m = h + -2. Suppose -8*d = -3*d - 25. Sort -5, d, m in ascending order.\nAnswer: -5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**3 + 9*p + 4 + p**2 + 4*p**2 - 12*p**3. What is the remainder when 80 is divided by y(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30713 is divided by 640?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 3*s**2 - 6*s + 2. Is 7 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31745 = 34*g - g - 31151 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -550a2 - 168?\nAnswer: -5523a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, l: 2, y: 1, w: 1, j: 2}. What is prob of sequence uy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 440865 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227 - -2045\/9. Let i = 7 - 7.1. Put k, i, 2\/3 in decreasing order.\nAnswer: 2\/3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4870 + 3177.3. Round q to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - -5*1768\/(-2520) and 44\/1125.\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*k + 124, 3*k = 3*t - 358 + 4. Suppose 2*j - 157 = -25. Let c = t - j. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 4. Let y be -3*1*1\/(-1). Suppose -y*t - 128 + 134 = 0. Suppose 4*q - 12 = t*p, -2*q - 10 = -0*p - 5*p. What is l(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllilllllllliiilll. What is prob of sequence ilii?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1704803570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 40\/3*r**3 + 0 - 10*r + 3*r**4 + 8*r**2. Factor m(d).\nAnswer: 4*(d + 2)*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 12) + (-225)\/(-216) + 2.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 18 - 88. Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a = -5*g - 25, 29 = t + t - 3*g. Suppose 3*y + 5*w = 38, 0 = -3*w + 5 + t. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 4*f + 15*f + 13*f to s*f + b and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/3 + 4*h**3 - 54*h**2 + 54*h - 3. Determine f, given that m(f) = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + sqrt(500) + sqrt(500))*-5 + -2 + (1 + sqrt(500) - sqrt(500) - sqrt(500))*4 + 4)*5.\nAnswer: -700*sqrt(5) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*f - 194 = 5*f, 0 = -p - 4*f - 189. Put 2, p, 1, 0 in decreasing order.\nAnswer: 2, 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*c**3*y**3 - 50*c**2*y**3 + c**2*y**2 wrt c.\nAnswer: -390*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(152))\/sqrt(8) - (sqrt(190)\/(sqrt(60)\/sqrt(6)))**2)*-2.\nAnswer: -4*sqrt(19) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o + 1 - 2 + 0 - 6*o as g + f*o and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31e4 (base 16) to base 9.\nAnswer: 18461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.141 * 0.5\nAnswer: -0.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 16. Let x be (-1)\/((-3)\/k*-1). Suppose -5*s = m - 26, x*m + m - 36 = -s. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30450.\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/60 and 113\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37e030 + 1c?\nAnswer: -37e014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-33)*15\/(-50)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -795*x**2 + 46*x**3 + 59*x**3 - 106*x**3 to the form q + m*x + r*x**2 + u*x**3 and give r.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.970297 kilograms to tonnes.\nAnswer: 0.003970297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1779, 53989.\nAnswer: -1779, -3, 53989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h**3 + 2*h**2 - 1. Let x be n(1). Let f = 13 - x. What is the smallest common multiple of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 1\/5*t**2 - 7\/30*t**4 + 0 - 4*t + 2\/15*t**3 + 2\/25*t**5. Suppose s(a) = 0. Calculate a.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 1. Let s be (-4)\/(-3)*(-60)\/80. Let v(w) = -16*w - 3. Calculate s*v(d) - 3*y(d).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4358896*k**2 - 6565547 wrt k?\nAnswer: -8717792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - 3) - (-42)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429553 is divided by 61356.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22723054 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(6\/(-2)) + 346 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -7410051.\nAnswer: 214891479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -51903*z. Let u(g) = -63*g + 2. What is d(u(y))?\nAnswer: 3269889*y - 103806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 19, 3123 in descending order.\nAnswer: 3123, 19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 0.5, -0.09?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-525) - 584\/(-42) - (10 + -14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 + 53986980*h**2 - 161960912*h + 107973936 = 0. Calculate h.\nAnswer: 1, 2, 13496742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g - 11. Let d(x) = 3*x - 2. Let b(n) = -11*d(n) + 2*i(n). Let y(t) = -t**2 + 53. Calculate y(b(h)).\nAnswer: -h**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*s + 170*s + 168*s + 171*s + 169*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24560 divided by 2\nAnswer: 12280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.42 - 17.42001706. Round o to seven dps.\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-10 + 2 + 1 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15047578 and 1624.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**5*p - 20*a**5 - 439*a**2*p wrt a?\nAnswer: 600*a**2*p - 1200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by 115?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68248 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, n: 4, k: 3}. What is prob of sequence nnkq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o. Suppose 3*q - j = 30 + 45, o = q + 3*j - 25. Let v = 40 - q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - n - 0*n - 3, 2*n + 9 = j. Let l be j + 2\/(-6) - (-168)\/126. Let v = -7 + 7. Solve -l*q + v*q = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - j**2 + j**2 + (-299 - 1880 - 4337)*(-3 + 3 - j**4) to z*j**3 + s*j**2 + f + x*j**4 + n*j and give x.\nAnswer: 6517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49335057.\nAnswer: 3, 661, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 + 1)*(2*u - u - 3*u) + (3 + 0 + 3)*(0*u + 4*u - 2*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 5*a + 3*a + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2) - 1)*50. Suppose 0 = -4*q + 5*z + 11, -5*q + 0*q - 5*z = -r. Solve -7 = q*x - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1037 - 1004. Let y be 1 + 152*5\/10. What is the greatest common divisor of y and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(1\/11))*q**(-2\/29))**(-5\/7) assuming q is positive.\nAnswer: q**(1560\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-2 - d**2 + 2)*(13*d**2 + 4*d**2 - 6*d**2).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzlnnv. Give prob of sequence zvnv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*u = -33, 2*b - 4 = 2*u - 5*u. Sort -141, 0, b, 1.\nAnswer: -141, 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108864 divided by -126\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*r**2 - 138*r**2 + 751*r**2 - 182*r**2.\nAnswer: 299*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + h + 3*h + (-2 + 7 - 3)*(72 + 12*h - 72) to n + q*h and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*p - 20 = 0, s = 4*p + p - 4. Which is the closest to -0.1? (a) 2\/5 (b) s (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, s: 2, l: 2, i: 2, n: 2}. Give prob of picking 2 s and 1 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 - r**4\/24 - 122*r**2 + r. Give c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/127 - -85\/5334. Let w(v) be the second derivative of 0*v**3 + 0 - 2*v + 0*v**2 + n*v**4. Let w(o) = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**5\/20 - 17*d**4\/8 - 9*d**3 - 3*d**2\/2 + 8*d - 9. Let g(t) be the second derivative of q(t). Solve g(m) = 0 for m.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 54023\/30 and 1801 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415 + -14?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**4 + 12*l**3 + 5*l - 18 wrt l.\nAnswer: -36*l**2 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*b - 9 = 5*b, 0 = -5*b - 15. Let c be (-807 - -5) + 2 + v. Round c to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)\/(w*w**(-2)\/w)*w\/w**(1\/5)*w**14 assuming w is positive.\nAnswer: w**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3*6)\/(-2). Solve 4*q - 10 - 20 = 2*g, t*g = -5*q + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 0 (c) 48 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8\/64 - (-94)\/16 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/7 + 180*b\/7 + 26 = 0. Calculate b.\nAnswer: -1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25279751 - -4?\nAnswer: 25279755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-4 - (-174)\/21)*(128 - 121)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.05 + 16.05. Let v be (-2)\/(-4)*4\/3*3. Sort -1.7, s, v.\nAnswer: -1.7, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 96. Let y(z) = -32*z**3 - 6*z - 5. Is y(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4*w - 2*w + (-3 + 1 + 0)*(-1 + 1 + w))*(-3*w - 2 + 2).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than or equal to -2.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 692 - 377. Let m(c) = -4*c - 51. Let g be m(-14). Suppose g*u = s - 20. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 1470673450*o - 108144019826745125 = 0 for o.\nAnswer: 147067345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280950 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3279 + -3279. Let i(f) be the second derivative of 5\/6*f**3 + 0 + u*f**2 + 14*f. Let k(n) = 4*n**2. Give k(i(v)).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2597303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12155906*g**2 + 519343*g wrt g.\nAnswer: -24311812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3315 - -10bb?\nAnswer: -2238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:24 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 182, -8 in descending order.\nAnswer: 182, 1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39728, 39735, 39742, 39749, 39756?\nAnswer: 39763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 12*s**4 + 15*s**3 + 6*s**2.\nAnswer: 3*s**2*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccxccxccxcxccxcc. What is prob of picking 2 c?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*-3*-1)\/(sqrt(49)\/(sqrt(343) + (sqrt(343) - sqrt(343)*4) + sqrt(343) - sqrt(343))).\nAnswer: -84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1151464 and 9176.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138448050 greater than 138448050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 121195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.74 + -6.74. Let x = 1 - 0.7. Which is the third smallest value? (a) x (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.03 + -0.03. Let s = g + 3. Let w = -7.2 - -7.7. Which is the biggest value? (a) w (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**6\/24 + d**5\/40 - 5*d**4\/48 - d**3\/12 - d - 1. Let u(h) be the first derivative of k(h). Solve u(z) = 0 for z.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*2*1)\/((-2*sqrt(96) - sqrt(96))\/sqrt(12) + sqrt(8) + sqrt(8)) + (-1*sqrt(6292))\/((sqrt(144)\/sqrt(4))\/sqrt(9)).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 8*t - 54, -655*q - 76 = -651*q - 4*t for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.936 - 12.936. Which is the third smallest value? (a) j (b) 2 (c) -2 (d) 4 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 252345\/27656 - -2\/3457. Find the common denominator of v and 121\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14422*n**3 - 9954*n**3 + 503*n**3 + 262*n**3.\nAnswer: -23611*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.754985 + -10.752301. Let i = z + -26. What is i rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66395657*c**2*p - 89*c*p + 20*c + p + 5773 wrt c.\nAnswer: 132791314*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2 + 3*x + 3*x + x**2 - 4*x. Suppose -4 = f - 3*f. Let d be 4*4\/(-8) - f. What is n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76122553 to the nearest 10000.\nAnswer: -76120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(3))*5)*-2.\nAnswer: -10*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 l, and 1 c when four letters picked without replacement from bblclw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.0731 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*w**3 + 4256*w**4 - 63*w**3 + 162*w**2 + 6*w + 9*w**3 wrt w?\nAnswer: 102144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (8152\/10 - 4) + (-8)\/(-10) a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11002, -22013, -33022, -44029, -55034, -66037?\n\"Answer: b**2 - 11014*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-35)\/(b**(-2)\/(b*b**(-5)))*b**(2\/11)*(b\/(b\/(b\/(b*b**(2\/3))))*b)\/b*(b\/((b*b*b**(-8))\/b))\/b**(3\/5) assuming b is positive.\nAnswer: b**(6586\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-918)\/(-6))*(-8)\/32)\/(55\/(-110)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 89593 = 3*h, -2163*h = -2159*h + 3*w - 119444. List the prime factors of h.\nAnswer: 29867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(704) - (sqrt(704) + 0)**2) + 2) - (sqrt(1331)*3*1 + 2).\nAnswer: -81*sqrt(11) + 4210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, i: 1, d: 1, j: 2, o: 2, q: 6}. What is prob of picking 1 d, 1 s, and 1 j?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -53*v - 41. Calculate g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*r - 2*r - 72 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1025 + -14153?\nAnswer: -13127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7862115875 to the power of 1\/2, to the nearest integer?\nAnswer: 88669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 205 = 2*m. Let y = m - 140. Is (1 + -107)\/(y\/12) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 7*c - 29. Let z be a(-7). Let n be 80\/5 - 1*-1. Suppose 0 = 3*l + z - 5, 2*g + 3*l + n = 0. Which is bigger: -2\/13 or g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/699 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 95.1 (b) 2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**2 - 3*k - 1. Let u be r(-1). Let t(b) = -b - 1. Let p(j) = j**3 + 7*j**2 - 13*j - 12. Let h(q) = p(q) - 3*t(q). Is h(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) 10.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76168174*y**4 - 462*y**2 - 237228 wrt y?\nAnswer: -1828036176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 561 + -554. Let k be 3 - (-5 + g) - 1. Solve k*s = 5*r + s - 8, 0 = -2*r + 3*s + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 1. Suppose 2*u = -5*j - 1 - 3, 25 = 5*u - 5*j. Let d be g(u). What are the prime factors of d\/4 - 50\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1, 48 in descending order.\nAnswer: 48, 31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 5*p**4\/24 - 16*p**3 - p**2 - 2*p + 45. Give g(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*k**5 + 3*k**4 - 198*k**2 wrt k?\nAnswer: -1080*k**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.685 - 2.185. Let q = 2 - 1.6. What is the third smallest value in -3, q, y, 0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -572, 11 in decreasing order.\nAnswer: 11, 5, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s**2 - 12*s**4)*((-1 + 4 - 2)*(2 + 1 - 2) + 197 - 6 + 116).\nAnswer: -3696*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-9 - (-51 + 26))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -201639 and -2.017.\nAnswer: -201641.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/8 of a millennium?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*z = 8*t - 65, 4*t = z + 45. Let o = t - 10. Let 0 - 2\/5*x**5 - 2\/5*x**3 + 0*x + o*x**2 + 4\/5*x**4 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205881*j**2*k*p - 24*j**2*k + 2*j**2*p**2 + 2*j*p - 145593872*k*p**2 - 4 wrt p?\nAnswer: 4*j**2 - 291187744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.056362 years in centuries?\nAnswer: 0.09056362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 + -1. Let w be (-6)\/21 + 1234\/7. Let v = w - 2111\/12. Which is the nearest to j? (a) -2\/7 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxcccxxxxxcx. What is prob of picking 2 x?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -3*(-20)\/15 - -86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 4, -16, -19, -0.4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97897 or -97856?\nAnswer: -97897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((63\/(-28))\/((-12)\/(-8)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-28) + (-2)\/(-7). Let f(o) = 3*o. Let p be f(u). Suppose 5*q + 20 = 0, p*q + 0*q = 3*d - 24. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.196.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 14*q = 12. What is the derivative of 0*i**4 + 0 - 3 + 0*i**q - 3*i**4 wrt i?\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16627 > -16625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 217*j - 207*j - 4 = 3*p, -6*p + 4*j - 50 = -p + 9*j for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2981997 to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506180 and 1970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(10*d**3 - 9*d**3 - 12*d**3).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 5, 3, 2, 4 in increasing order.\nAnswer: -87, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001017 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -141, -11246, -33313, -66342, -110333?\n\"Answer: -5481*o**2 + 5338*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -7\/5, -0.3, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*r = -9*o + 536, 2*o = 5*r + 268. Calculate the remainder when o is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 35 = -q - q, 5*q - 80 = -5*j. Suppose -67 = -3*y + 4*n, 3*n + 9 = y - q. Let d be y\/(-7) - (-2 + -1). Are d and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5751, 12452, 19153, 25854, 32555, 39256?\n\"Answer: 6701*j - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1053)*2 + -2)*5 - (-5*-2*sqrt(1053) + 5 + 0)) + -2)**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 17 = 8*u - 4*u, -3*l = 5*u - 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 13)*(-3 - 3 + 4)*(j**2 + j**2 + 0*j**2) to w*j + a*j**2 + s and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10*1\/6)\/((-16)\/48)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 4*c**2 + c + 4. Let j be ((-18)\/5 - -3)*-5. Let o be n(j). Is o greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58074408 divided by -62?\nAnswer: -936684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -105. Suppose -c*h + 12*h = -165. What is the second derivative of 14*r**5 - 4*r**5 - h*r + 9*r**5 wrt r?\nAnswer: 380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 11:22 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 - -195 - (-16 - -147)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-6 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y + 5. Suppose -30*d - 128 = -758. Let q(w) = -39*w + 21. What is d*b(x) - 5*q(x)?\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o + 4 = 0. Let u be o\/(-3)*147\/14. Do 7 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**10\/75600 + i**8\/10080 + i**5\/60 - 2*i**2. Let h(d) be the third derivative of b(d). Factor h(y).\nAnswer: -2*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b82 - 1?\nAnswer: b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(21\/(-28)))\/((-2)\/15). What is the lowest common multiple of 3 and (4 + 0)*(-3 + (-45)\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4*138\/(-17) and (1 - (-38)\/(-36))*8436\/(-380).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107939 (base 11) to base 8\nAnswer: -516753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 9) to base 15.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -938 at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 66542?\nAnswer: 1\/66542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 5*f**3\/6 - 254*f. Let o(i) = -11*i + 11*i - i**2 + 4*i**2. What is o(r(n))?\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202202 - -222200220?\nAnswer: 1002110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - j + 3, 3*u - 346*j + 341*j - 25 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1763, -13925, -46933, -111209, -217175, -375253?\nAnswer: -595865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131211 and 478.\nAnswer: 262422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 19*s - 75. Give j(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -20.3 (c) -1\/9 (d) -3 (e) -2 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/36 + k**3\/9 + k**2\/2 - k + 6. Let s(h) be the first derivative of o(h). Factor s(n).\nAnswer: -(n - 3)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 1.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18 + 74\/(-9). Suppose 0 = 5*u, 5*u + 9 - 63 = 3*l. Let z be 2\/c + l\/(-8). Solve -12 = -z*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170\/3 - -56. Sort 3, 4, p.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -568 + 923. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r + 15. Let k be h(-6). Let g(u) = -4*u - 25. Let x be g(-6). Let y be (-17)\/(-34) - x\/(-2)*2. Which is greater: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2258, -9060, -20406, -36296, -56730?\n\"Answer: -2272*u**2 + 14*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161.6 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - s - 31 = 0, 3*w - 51 = -3*s. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 154\/17, -1\/3, -3\/2, 18\/11, -0.17?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 25 = -3. Suppose -2*w + 43 = -5*s, 4*w - 4 = 12. Let c = o + s. Solve 4*h - 4 = -c*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 0*l + 0*l + (2*l**2 + 0*l**2 - 3*l**2)*(4 - 1 - 2) + 111226 - l**2 + 7*l**2 - 111340 to w*l + s*l**2 + r and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -15*g**5 + 438*g**4 + 2373*g**3 + 2568*g**2 - 612*g = 0.\nAnswer: -3, -2, 0, 1\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 divided by -60703?\nAnswer: -337\/60703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -43, 2, 30, 1, -389 in decreasing order.\nAnswer: 30, 5, 3, 2, 1, -43, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(6*(sqrt(17) - (sqrt(1377) + -4)) + -2))**2.\nAnswer: -1728*sqrt(17) + 39492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -182*o + o**2 + 251*o - 67*o - 323 = 0.\nAnswer: -19, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h + 1. Let z be 6*14\/(-168)*-8. Let r(v) be the first derivative of 1\/4*v**4 + v**3 + 11 + z*v - 2*v**2. Calculate 4*o(d) - r(d).\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1054 (b) -0.1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2259 divided by 1\nAnswer: -2259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((3 + sqrt(98))*-3 - sqrt(98)) - ((sqrt(98) - ((sqrt(98)*1 - sqrt(98))*6 + sqrt(98))) + (sqrt(98) + 0)*4)) + 5)**2.\nAnswer: 8680*sqrt(2) + 40161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - -1) - ((-5 - 7) + (-13 - -23)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, v: 1, e: 5, g: 2, h: 4}. Give prob of sequence hd.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9) + (-44)\/(-6))*40\/(-70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1754511 and 65\/3278.\nAnswer: 522844278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(200)*1 - sqrt(200)) + 1)**2 + (-1*(sqrt(200) + (0 + sqrt(200))**2) - (-1*sqrt(200) + 0)).\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -12. Suppose -5*x + 5*r + 45935 = 0, -3*r = 2*r - 20. Suppose p + x - 2693 = -2*z, 0 = z - g. Round p to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Suppose -l = 3*k + 20. Let x(j) = -2*j + 8. Is x(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 7*h - 7. Let n be x(8). Let y be 1\/(n\/4*2). Solve -y = 4*u + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -44, -57, -70?\n\"Answer: -13*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65b43 - 12a?\nAnswer: 65a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 100 + 3 + 16 + -149 + 133 + (-14 - 0)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 33574087728?\nAnswer: 33574087717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 1, p: 2, r: 2, u: 1, z: 1}. Give prob of sequence ummr.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12009, -12013, -12025, -12051, -12097, -12169, -12273?\nAnswer: -12415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-42)*2)\/((-54)\/81)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/16? (a) 4 (b) -2\/33 (c) 2551\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:46 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - -3.7. Let b = -8.165 - -8.565. Suppose 4*l + l = 5. What is the closest to 1 in b, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-7\/6)\/b)\/b)**(-8)*((b\/(b*b**(2\/9))*b)\/b)**(1\/13))**(-10\/11) assuming b is positive.\nAnswer: b**(-29620\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2787635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 3256.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 46*v + 47*v - 37259 = 0, 4*y + 5*v = 29803. Is 36 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9108?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-331038)\/(-1388)*(-3)\/27.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 63*g - 32. Let o(p) = 129*p - 62. Let k(m) = 13*f(m) - 6*o(m). What is the units digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660 and 1716?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 22372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-7)\/595 - (-3 + 2920\/935)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35921.\nAnswer: 17, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 29*r - 5. Let p be l(-15). Calculate the common denominator of ((-196)\/(-670))\/((-68)\/p - -6) and -20.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + r**2 + 3*r. Let m(i) = -4*i + 7. Let g(n) = -n + 2. Let h(j) = -7*g(j) + 2*m(j). Give 3*h(v) + x(v).\nAnswer: 3*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc5 - -d7?\nAnswer: 10bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afaaafafaaazzuafaaa. Give prob of sequence zauf.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 - 11*y + 8. Let k be f(-6). Suppose -c = -0*n + n - 747, k*n - 1486 = 2*c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n - 21. Suppose 15 = -2*y + n*y. What is the greatest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 657 = 2*g - 3*b, 3*b = -2*g + 246. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**2 + 128*t**5 - 65*t**5 + 21*t**6 - 63*t**5 + 14 wrt t?\nAnswer: 2520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 2. Let i be x(32). Suppose -k - 54 = -i. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1231024 (base 7) to base 16\nAnswer: -26c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 5:16 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*p - 18 - 1. Let d(g) = -g**2 + 4. Let r be d(3). What is the third biggest value in r, p, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21858 and 15?\nAnswer: 109290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 49*o**3 - 226*o**2 + 342*o**2 - 115*o**2.\nAnswer: -47*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let y be (-10)\/25 - 7\/(-5). Let n = -984.9 + 980.9. Which is the closest to y? (a) n (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*w - 201 = -196, 2*w - 11 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888 divided by 8.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736306 is divided by 868151.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 4*w**2 - 3*w - 6. Determine q(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -35*k + 33. Let l(j) = -12*j + 11. Let w(t) = -17*l(t) + 6*z(t). What is the first derivative of w(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b = 2*w + 1659, 2*b - 3282 = -5*w. List the prime factors of b.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3265*k**3 - 7370?\nAnswer: -9795*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 26*g = -170. Suppose -700 = l - 8*l. Calculate the remainder when l is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 232798 - 108*y**2 - 232798. Let k(r) = -23*r. What is k(a(q))?\nAnswer: 2484*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 35*z**3 - 9*z**3 + z**2 - 53 - z**2 + 35*z**3 to the form h*z**2 + u*z**3 + c*z + v and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.26 - 0.24. Let m = 2.5 + g. Let c = 0.9 - -0.1. What is the nearest to -1 in m, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/19 (b) 0 (c) -4 (d) -3200 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4041747*a**2*t**3*x**2 + 2*a**2*t*x**2 + 2*a*t**3*x**2 - 656*a*t**2*x**2 - 12*a*t*x**2 + 2*t**3*x wrt a?\nAnswer: -8083494*t**3*x**2 + 4*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9\/7))**(4\/11)\/(h**(1\/9))**(-11) assuming h is positive.\nAnswer: h**(523\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*3)\/sqrt(2).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = u - 2*l, 5*l = 4*u + l - 416. Suppose 0 = -3*v - 3*c + u, 0 = 4*v - 3*c - 41 - 134. Calculate the highest common divisor of v and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 16. Let r be x(-5). Calculate the greatest common factor of r and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*l**4 + 165*l**2 - 24195*l + 24195*l wrt l?\nAnswer: 2280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*x - u - 10, -6 = 4*x - 2*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309 and 4770342?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - 0.23. Let a = -0.306669 - 0.052961. Let g = a - q. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -25. Let n = 87 - 68. What is the biggest value in 5, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 6*j + 15. Give b(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 9*k + 16. Suppose -k*g - 76 = -5*i, -2*i - 5*g = -3*g - 34. What is the highest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2323*i**2*m**2 - 6*i**2*m + 7*i**2 - 2*m wrt m.\nAnswer: -4646*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.602 plus -0.1726?\nAnswer: 237.4294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -758\/14697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 386421*n**3*t**2 - 163*n**3*t + 130*n**2 - 2*n - 4*t**2 + 2*t wrt t.\nAnswer: 772842*n**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -100 (b) 5\/2 (c) -1 (d) -1\/3 (e) -4 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 6*v**2 + 5*v - 5. Let w be n(-5). Let x(u) be the first derivative of 4 + 5*u - 1\/3*u**3 - 2*u**2. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 66 = -0*d. What is the smallest common multiple of d and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 4*u**2 - 2*u**3 - 12 + 6*u - 1\/4*u**4. What is o(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p - 9. What are the prime factors of o(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4588 - 2954. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + 5 - (-10 - -16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-7))\/(6\/14). Which is smaller: 33 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvpq. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215 and 7009?\nAnswer: 35045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {x: 2, q: 2, z: 1, f: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnpnppnnnpnninpnpn. Give prob of sequence nipp.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + o - 468 = 0. Suppose -6*h + 9*h - o = 0. Suppose h*k - 28*k = -20. What is the smallest common multiple of k and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.51 + 2.8. Let p = r - -0.01. Let o = p + 0.1. Which is the biggest value? (a) 4\/3 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let i(q) = 6*q**2 + 2*q + 2257377. Determine o(i(c)).\nAnswer: 24*c**2 + 8*c + 9029508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82161 - 107713063\/1311. Is d > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkmz when four letters picked without replacement from dmkhzhx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 30 = -2*x, 2*x + 10 - 36 = 4*k. Let y be 1\/2*(-3 - -1). Let t be (y\/6)\/((-12)\/(-8)). Which is the second biggest value? (a) k (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3010437\/572 + 5263. Let j = s - 2281\/4004. Let h = 2.9 + -3. What is the closest to h in 0.1, -4, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/18 - 10\/225*5. Sort -2, -3, v, -4 in descending order.\nAnswer: v, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s - 2. Let t(u) = u. Let f(k) = 5*k - 3. Let x(d) = f(d) + 6*t(d). Suppose -40 = -20*v + 15*v. What is v*i(h) - 5*x(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (1 + 858)*3\/963. Let y = 1\/107 - r. Let g be ((-4)\/(-54))\/((-2)\/(-6)). Sort g, y, 0.3 in decreasing order.\nAnswer: y, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**2*k*o**2 + 7890*f**2*k*o + 2*f**2*o**2 + 149*f*o**2 + 117*f + o**2 wrt k.\nAnswer: 6*f**2*o**2 + 7890*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) - 2*sqrt(19)) - ((sqrt(76))**2 + 1).\nAnswer: -79 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**2 - y. Let h be r(1). Suppose 0*w + 5*w = -5*k + 365, 274 = 4*k - 2*w. What is the greatest common factor of k and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4044 + -1043?\nAnswer: -10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6)*18\/(-12). Let r(k) = -k**2 + 5*k - 4. List the prime factors of r(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/9 - 286*m**2\/9 - 5120*m\/9 - 8200\/3 = 0?\nAnswer: -123, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(2*1) + -1. Let u be 7*(8\/(-4) - -1)*-1. Suppose -u*i + 16 + 5 = 0. Solve q = i*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 667*u - 660*u - 376411. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*y + 3*y - 39*y - 5*y as h*y + b and give h.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-556*j + 1643 + 970*j + 1266 - 419*j)*(2 + 1 - 7) in the form a + w*j and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9230 is divided by 702?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 83*x**2 + 2*x - 1. What is the tens digit of g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-20)*(-20)\/(-6). Suppose -c*a + 57 = -7. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 440, 945, 1484, 2069, 2712, 3425, 4220?\n\"Answer: 2*p**3 + 5*p**2 + 476*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15462089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -329, -506, -721, -986, -1313?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(1\/2)*f)))\/f)**(-1\/2)\/(f*f**(1\/4)*f*f**(-1\/16))*(f*f\/f**0*f**(2\/13)*f)\/(f\/((f*f**(-1\/2))\/f*f))**(5\/8) assuming f is positive.\nAnswer: f**(-5\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Let g be m(-2). Let t be (-132)\/15*(-5)\/g. Is (-2 + t)\/3 + -1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 36. Let i be (-3)\/(-9)*b\/1. Solve -2*t = -k - 3 - 0, 0 = -t - i*k + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27787340 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.223749 and 0.4.\nAnswer: 5.6894996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21726 and 5701158.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-1) + 0)\/(-2). Suppose i*o + 2*o = 0. Factor 7*f - 2*f**3 + o*f + 4 - f.\nAnswer: -2*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 divided by -2?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 5 - 3*f + 0*f - 15*f.\nAnswer: -21*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 - 4*k + 3. Let t be -1 - -6 - (0 + -1 + 2). Let g be s(t). Calculate the greatest common divisor of g and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32104724.\nAnswer: 2, 179, 44839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, 0.006, -2 in decreasing order.\nAnswer: 2\/3, 0.006, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 9:01 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from oozskxi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1947 = 13*b + 2064 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:29 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-12))\/(5\/45). Suppose v*y + 8*t - 10*t - 10005 = 0, 4*t = 0. Suppose 0 = -7*c + 2*c + y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -11 (c) -13 (d) 38 (e) -178 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -627? (a) -3 (b) 0 (c) -114\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39110 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -234503 - 1927226087\nAnswer: -1927460590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + 0.28. Suppose -g - 2 = -3*r + 10, 4*g - r + 15 = 0. Which is the third biggest value? (a) g (b) n (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 20922*z**2. Let v(t) = -2*t. Calculate y(v(x)).\nAnswer: 83688*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 355 + 68*r + 121 + 117 + 176*r - 243*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -79, -109, -161, -241, -355, -509?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35556018?\nAnswer: 2, 3, 109, 54367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 97*i**2 + 3*i + 1. Let j be l(3). Let t(z) = z**3 - 4*z**2 - 4*z - 2. Let r be t(5). Is 4\/(-3) + j\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g - 11. Let h be l(-6). Suppose 3*x - h = 71. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28120 and 555.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50675 and 405400?\nAnswer: 405400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 12eb?\nAnswer: 12e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.0958ug in kilograms?\nAnswer: 0.0000001460958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**4\/12 - 7*n**3\/6 + n**2. Let u be h(5). Let a(j) = -2*j**3 + 2*j**2 + 0*j**3 + j - u*j**3. Calculate a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = 7*a. Suppose a*y = -2392 + 9092. Round y to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -102923 < 6\/329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**2 + 7*u**2 - u**3 + (u**3 - 2*u**3 + 3*u**3)*(-5 + 3 + 4) + 0*u**2 + 0*u**2 + 2*u**3 - 6*u**3 + u**3 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1232*v - 158. What is the thousands digit of l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23\/4*(-28)\/(-7). Let a(b) = 3*b**3 - 2 + 3*b + 1 - b - b**2 + d*b**3. What are the prime factors of a(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndndnnnddddddddnnd. What is prob of picking 4 n?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, e: 2}. Give prob of sequence jj.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/120 - j**5\/20 - j**4\/8 - j**3\/2 + j**2. Let i be c(3). Let g = -9 - i. What is the greatest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-71) + (-54 - (-213256)\/4047)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 4*t**2 + 5*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*u + 3 + 2*u + 4*u**2 + 33.\nAnswer: 4*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 3*a)*(-a**4 + 220*a - 20 - 220*a).\nAnswer: 2*a**5 + 40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 1257859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -23 + 23 + -17 - (2 - -4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.225 - 6.225. Put -16, -4\/31, k in decreasing order.\nAnswer: -4\/31, k, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -13. Let o(s) = 7*s**3 - 4*s**2 - 2*s - 1. Let y(r) = -6*r**3 + 4*r**2 + r + 1. Let x(h) = 5*o(h) + 6*y(h). Determine x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g - 2. Let f be s(2). Suppose -5*v - 64 = f. Sort -1, v, 1.\nAnswer: v, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178965 is divided by 31128.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 416*g**2 - 288*g wrt g?\nAnswer: 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-25) + (-3)\/5. Which is smaller: -4\/17 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -83*a. Let r be k(1). Let h = -420 - r. Let j = h + 478. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8466 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 29\/4. Let g be -1*(2 - -14 - 1). Let d be (1 + 12\/g)\/(-1). What is the second smallest value in d, o, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 182\/49. Let m(w) be the first derivative of 1\/5*w**2 - 1 - 1\/5*w**c + 1\/15*w**6 + 2\/25*w**5 + 2\/5*w - 4\/15*w**3. Factor m(b).\nAnswer: 2*(b - 1)**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253107742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -32329, -224.\nAnswer: -32329, -224, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 205179462 to the power of 1\/2, to the nearest integer?\nAnswer: 14324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*o - 10, 0 = o + 2*o + 5*r + 1. Let p(c) = 2*c**2 + o*c**2 + 10*c + c**3 - 5*c. Let k be p(-4). Let x(s) = 3*s + 1. Determine x(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a gram in milligrams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 367 - 267. Calculate the highest common divisor of d and 1600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f + 119. What is the least common multiple of 99 and y(6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -0*r + 3*r + 2*m, 0 = -r + 2*m + 1. Let y(v) = -v**2 - v + 2. Let f be y(-2). Solve r*h - h - 8 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16281.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b + 3. Let d be o(2). Let f be 2 - 3 - (-2 + d). What is the greatest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1320 and -9\/20.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - 2 - (17 + 9 + -25) - (2 + 2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2. Let g(h) = 5*h**2 - 6*h**2 + 0*h + 0*h. What is g(n(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s + 1. Let p be h(-2). Let f = p - -165. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.058 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 38*x - 716. Calculate c(16).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 114*q**2 + 2*q - 1. Let h(c) = c**2. Determine 2*h(d) - u(d).\nAnswer: -112*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5873 - -5875. Let f = 0 + 0.04. Let o = 0 - f. What is the smallest value in x, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -455, -454?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 5*a**2 + 3*a**2)*(264*a**2 + 253*a**2 - 568*a**2 + 7).\nAnswer: -102*a**4 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 11:02 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -12 - 3\/4*t**4 + 0*t**3 + 0*t + 7*t**2. What is the second derivative of i(x) wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 623*k**2\/3 - 1712*k\/3 - 49.\nAnswer: -(k - 49)*(k - 3)*(12*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8246626ng?\nAnswer: 0.0000008246626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-7 - -9) + 4 - 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/70 - -16\/105. Let h(f) be the first derivative of c*f**3 + 0*f - 1\/4*f**2 + 3. Factor h(r).\nAnswer: r*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*h**3 - 67*h - 74*h + 211*h - 70*h + 151*h**3.\nAnswer: 718*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n - 3. Let p be z(2). Suppose y - 12 = -5*t + p, 15 = 5*y - t. Factor -7*r**4 + 5*r**4 - 3 - y*r**3 + 4*r + 5.\nAnswer: -2*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*t - 11, -4*g = 16*t - 20*t + 36 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 1\/3, -3\/2, -2\/17, -2\/13?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2. Let l(w) = -2*w + 6. Let m be l(5). Let u be (4\/m)\/((-2)\/4). Let v(t) = -2 + 0*t**u - t**2 + 2. Determine b(v(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 22*y - 218. Is y > 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**3 - 4*s - 3. Let m be o(-2). Let z be (-70)\/m*60471\/12. Let i = z + 7860. Find the common denominator of -41\/16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - 105\/(-252). Which is the nearest to 2? (a) -2\/5 (b) z (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3304.197 - -3285.2. Let n = 19 + u. Let t = 6.203 - n. What is t rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 34*s**3 + 131*s**2 + 184*s + 48.\nAnswer: (s + 3)*(s + 4)**2*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 206155194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*x**5 + 1311*x**4 - 4143*x**3 + 906*x**2 + 5100*x - 1272 = 0. What is x?\nAnswer: -1, 1\/4, 2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2961*-0.2.\nAnswer: -592.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5178.775 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1127, 2361, 3703, 5153?\nAnswer: 6711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178 (base 10) in base 12?\nAnswer: -822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l + 18. Let o = -2.7 - 0.3. Let k = 5 + o. Which is the second biggest value? (a) 3 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - 1 - 1) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164.93247 months to years.\nAnswer: 13.7443725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.042 + 11.958. Let x = 11.999999265 - v. What is x rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 3 (c) -0.5 (d) -5 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 484 - 0?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*j + 29*j = -297*j + 9000 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 58 = s, 6*m - 136 = -2*s + 8*m. Let t = -34 - 5. Let w = s + t. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*q**4 - 3030*q**3 + 31203*q**2 - 12120*q + 1200.\nAnswer: 3*(q - 20)**2*(5*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -66850*v. Let h(y) = -437*y. Let b(p) = 764*h(p) - 5*m(p). Let w(f) = 0 + 0 - 47*f + 45*f. Give w(b(n)).\nAnswer: -764*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**2 - 10*a**2 - 178616068 + 178616068 + 5*a**2.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 89*d - 1251. Let w be n(14). Sort 45, 2, 0, w in increasing order.\nAnswer: w, 0, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60426 + -60258. Calculate the lowest common multiple of (21\/(-12))\/((-1)\/4) and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) 2 (c) 17\/6 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13663351?\nAnswer: 13, 1051027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) + sqrt(1125)*2 - sqrt(225)\/sqrt(5)*1)\/((2*sqrt(225) - sqrt(225) - sqrt(225)) + sqrt(27)\/sqrt(3)*-5).\nAnswer: -14*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f**2 + 0*f)*(-f**3 + 4*f**3 + f**3).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o - 25*o - 13*o)*(0*o**3 + 0*o**3 + 2*o**3).\nAnswer: -58*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 8 - 2)*(-7 + 6*c + 7).\nAnswer: -234*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34957501 from 0.04.\nAnswer: 34957501.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*q - 33, 7*q + 1049*k - 1046*k + 51 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 119 = -5*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*k**2 - 12*k**2 + 15 + k - 11*k**2)*(-113 + 122 - 4*k + 11*k) to the form s + m*k + w*k**2 + i*k**3 and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08755 and 0.03.\nAnswer: -0.0026265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2483*z - 12 = 2463*z + 208 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 31*p + 25. Calculate z(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 204703573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 88890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 23*n**2 - 9*n - 20. Let t be w(11). Let a(f) = -f**3 + 2*f**2 - f + 4. Let j be a(t). Solve 4*d + j - 22 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4617) - sqrt(4617)*3) + sqrt(456)\/(2*sqrt(8)))\/((sqrt(18)\/sqrt(3))\/sqrt(2) + -3*sqrt(3)*-1 + sqrt(3)).\nAnswer: -7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12082 by 1.\nAnswer: -12082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (64\/(-6))\/(1\/(-3)). Suppose -4*g = -0*g - t. Suppose -g*z = -4*z - 56. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397228 is divided by 536.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32575 (base 10) to base 15.\nAnswer: 99ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h - 3. Calculate the remainder when 80 is divided by s(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6904 + 6904 + 348*j.\nAnswer: 348*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o - o + o + (2 + 2 - 2)*(3*o - 2*o + o) + 0*o + o + 0*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145619506?\nAnswer: 2, 503, 144751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 0 - 295\/(-100) and -45\/484.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 114*k + 1129. Let d be z(-10). Let r be 648\/(-96) + (16\/(-4) - d). Factor 0 - 3\/2*t + 5\/4*t**2 - r*t**3.\nAnswer: -t*(t - 3)*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49593 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1920823 divided by -4\nAnswer: -1920823\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-629)\/(-1110) - (0 + 4\/10). Which is the closest to -0.1? (a) 1 (b) 22 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7894*d - 71617. What is r(9)?\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -353 * 0.5.\nAnswer: -176.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -14, -36, -76, -140?\n\"Answer: -t**3 - 3*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2877 divided by -3.\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 519 - 521 + 43*z**2 to the form j*z**2 + q*z + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1 - 1) + 7 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 14*m = 22*m + 680 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -111111101001100?\nAnswer: -111111101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33299 divided by -7.\nAnswer: 4757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3 and ((-6)\/(-4))\/((-72)\/282)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/23 - -4172\/69. Let h = -60 + z. Which is the closest to 0.4? (a) 2\/13 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/3)\/i)\/i*i*i)\/i**(-6\/11))**(-46)\/((i**3\/i)\/i*i**(-8))**(-22) assuming i is positive.\nAnswer: i**(-5404\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:21 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 22699763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468 and 475344?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15209 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-52)\/6)\/(1962\/(-18)) and 56\/9.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, k: 3}. Give prob of sequence koko.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Let d(i) = 2*i. Suppose x - 36 = -2*x. Let g = x + -6. Determine g*y(n) - 5*d(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5587640 is divided by 214909.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7093*t = 7526*t - 6062 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19412372, 38824750, 58237128, 77649506?\n\"Answer: 19412378*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 400\/(-180)*2\/(-5)*(-2)\/1. What is the second smallest value in b, -11, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:42 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1035 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -131, -0.64, -2, -3, -4\/9?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/211438 and -43\/27548.\nAnswer: 41018972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 121*b**2 - 3472*b + 11532 = 0. Calculate b.\nAnswer: -62, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 0.04, 26?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20519, 22827, 25119, 27401, 29679, 31959?\nAnswer: 34247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**4 + 56*w**3 - 114*w**2 = 0. Calculate w.\nAnswer: 0, 3, 19\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246.5*-15.\nAnswer: 3697.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 52. Suppose 10 = 4*d + u. Solve -5*l = 2*o - 0*o - d, 0 = 4*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 6)*(-1 + 3*o + 1)*(-3 - 1 + 1) - 4*o + 2*o + o to k + z*o and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123311231 (base 4) to base 3.\nAnswer: 12210102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a year?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 29 + 4 = 0. Let r = -6 - k. Put -5, r, -4 in ascending order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 52*w**2\/9 + 418*w\/9 + 968\/9.\nAnswer: 2*(w + 4)*(w + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2 - 1 + 0 + 0 + (2 + 2 - 3)*(-2 + 1 + 0) - 3 + 2 - 1)*(5899*b + 13136*b + 11670*b - 7760*b + 4074*b) to v*b + h and give v.\nAnswer: -81057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b - 0*b. Suppose 2*f - 18 = d, -2 = d - b. Let y be (-396798)\/f + (-4)\/16. What is y rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 45?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 222863*h + 4457234. Give r(-20).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = 2*n - 5*y, 4*n = -2*y - 56. Let s be -1 + (8 - (0 - 0)). Is 18 a factor of (18\/s)\/(n\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*j - 4*j + 124 = 0, -5*j = -4*s + 96. Suppose s = -3*t + 2*z, 5*z - 8 + 3 = 0. Is -4 - (1 + 6)*t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 526\/48 - (1980\/(-108))\/((-5)\/3)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -1.34\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 3590?\nAnswer: -32310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + 23. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 426, -2, 3, 4, -819 in descending order.\nAnswer: 426, 4, 3, -2, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 17110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*k - 2, -20*z = -18*z - 2*k - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 - 2*t**2 + 15*t**2 - 8*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b**2 + b. Let u(v) = -7795*v**3 + 9354*v**2 - 9354*v. Determine -9354*q(x) - u(x).\nAnswer: -1559*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9048 (base 16) to base 13.\nAnswer: -13a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1418770 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620 is divided by 395?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 7*r - 9. Let f be i(-3). Let o = f + 26. Calculate the lowest common multiple of 4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53460.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 10*l - 7. Let f be g(9). Let d = 126 - 121. Suppose -b + d*s = 22, 4*b + 3*s - 11 - 16 = 0. Solve -b = f*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.1 (b) 288 (c) 0 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -184*i**2 - 403*i - 1193. Determine x(-3).\nAnswer: -1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -74.911 = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -1 + 1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + d + 25. Let p be q(-4). Suppose -2*k + 247 = p. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*3*1\/2. Let s(x) = 3*x**2 - 14*x - 3. Let y(c) = c**2 - 5*c - 1. Let v(w) = 6*s(w) - 17*y(w). Let b be v(1). Put -5, b, z in increasing order.\nAnswer: -5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + 41\/(697\/102). Solve w - 2 = j, -2*w - 2 = 2*j + v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48280, -47340, -46400, -45460, -44520?\nAnswer: -43580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -1023, -1546, -2069, -2592?\nAnswer: -3115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Suppose b - 2*b = d. Suppose -2*f + 4*j + 12 = 0, 3*f + 2*j = -b*j + 10. Solve 0 = -4*o - 2*l - 8, -f*l - l = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t - 18*t - 2*t - 11*t to the form s + j*t and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131\/7? (a) 0.5 (b) -11 (c) -2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*l**2 + 7*l - 380 wrt l.\nAnswer: -36*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k - 6. Let r(v) = 11*v - 17. Calculate 17*a(m) - 6*r(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5225 + -5129. Solve 86*q - 62*q = -p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1349\/7, -0.164, -2 in ascending order.\nAnswer: -2, -0.164, 0, 3, 1349\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 473*q + 236.\nAnswer: (q + 236)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 4*b**3 - 3*b**3 + (-8*b**2 + b - b)*(35734 + 209*b - 35734).\nAnswer: -1673*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*v - 29407 - 10796 = -11958 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -16?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-1 - 27\/2) + 322 + -316). Which is the second smallest value? (a) -6 (b) q (c) 1\/3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41220 divided by -4122?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 7*j + 5. Calculate l(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**5 + 148*h**3 + 876*h.\nAnswer: -100*h**3 + 888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.47 in 4, -2, -52, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**3 - 416*i**2 - 192*i - 18 wrt i?\nAnswer: 30*i - 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 23*z + 80. Let k be j(4). Find the third derivative of -43*l**2 + 3472*l**3 - 3470*l**3 - l**k + l**4 + 39*l**5 wrt l.\nAnswer: 2340*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 1 u when three letters picked without replacement from {i: 2, g: 1, x: 1, b: 1, t: 1, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58191005, -58191009, -58191015, -58191023, -58191033, -58191045?\nAnswer: -58191059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let j = -2131\/5 - -428. Let l = 8\/5 - j. What is the second biggest value in 0.4, q, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let b(j) = 5*j. Let x(d) = -4*b(d) + 18*c(d). Suppose -4*q - v + 8 = -2*q, -4*q = -2*v. Let i(k) = -q*k + k - k. Calculate x(i(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.63932 minutes in hours?\nAnswer: 0.777322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/36222 and -5\/438.\nAnswer: 2644206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15908819 and 590?\nAnswer: 159088190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -20 - 26. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 4*o)*(-6021*o + 27 - 3041*o - 4290*o - 30 + 3788*o) to m*o + z + i*o**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**(-2\/59)*p**(2\/5)*p**(-4)\/p)\/(p**(-5\/4)\/p**0)**(-5) assuming p is positive.\nAnswer: p**(-12819\/1180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 7*q - 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4319457 litres in millilitres?\nAnswer: 431.9457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13261*g**2 - 34 - 13262*g**2 + 13 + 230 in the form a*g**2 + q + l*g and give q.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6 + (-8)\/6 + 1. Suppose -a*m + m = -9560000. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 372.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 515.237 (b) 1 (c) -0.3 (d) 359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/7428 and 52\/7?\nAnswer: 51996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332333?\nAnswer: 2332333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 9*k**2 - 17*k + 164. Give n(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21\/4 + 5. What is the biggest value in -2\/41, t, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66, 137, 212, 291, 374, 461, 552?\n\"Answer: 2*q**2 + 65*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 39*x**2 - 196*x + 91. Give r(-33).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a\/(a*a**(-1\/17)))\/(a\/(a**(1\/5)*a*a))**(5\/18))**(1\/6) assuming a is positive.\nAnswer: a**(-143\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Suppose 4*p = -g*p + 12. Factor -2*c**2 - c**p + 0*c**2 + 0*c - c + 4*c**2.\nAnswer: -c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5259 and 0.083.\nAnswer: -436.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + 1 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/29)\/j**2*j\/(j**(-4)\/j)*j\/(j*j**(-6)\/j) assuming j is positive.\nAnswer: j**(321\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joe when three letters picked without replacement from {w: 3, u: 2, j: 2, o: 3, t: 6, e: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1 - 30*s**2 + 6*s + 31*s**2 - 5. Let x be p(-7). Suppose -2*h - 4*v - 17 = -h, v + 14 = x*h. Solve h*r + 2 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/32 and 49\/10425?\nAnswer: 333600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.6762\nAnswer: 3.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-32))\/(365\/(-120) - 924\/(-792)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 984*v**2 - 4*v + 841*v**2 + 12 + 599*v**2. Let j be s(19). Round j to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*w = -w + 25, 0 = n - 4*w + 11. Let k(x) = 8*x**3 - 2*x**2 + 2*x - 1. What is the remainder when k(1) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 10, -3*f - 4*o = -0*f - 13231. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291 - 242. What is the remainder when 195 is divided by x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 19, 3\/13, 11.03, -0.1.\nAnswer: -0.1, 3\/13, 1\/4, 11.03, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/5*f - 3\/5*f**3 + 0 + 67\/5*f**2.\nAnswer: -f*(f - 22)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 7*z + 5*z**2)*(0*z - 4*z + 3*z)*(-3 + z + 3).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 3*g = 10*h, 0 = -5*h + 4*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -18611*h**4\/12 - 2*h**2 + 10*h. Let t be a(6). What is t rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from cwwcccwhnww.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(3*sqrt(392)).\nAnswer: sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10120120 - -10130?\nAnswer: 10130310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53236967.\nAnswer: 7, 43, 137, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-676)\/32110 + (-184)\/285)*3\/(-32)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4213, -8870, -14509, -21622, -30701, -42238, -56725?\nAnswer: -74654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.49349 + -0.01549. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 2*x**2 + x - 3. Let o be r(0). Let p be -5 + (637\/156 - (o - -2)). Which is the smallest value? (a) p (b) 2\/5 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(96)\/(-1*sqrt(12))))**2 + sqrt(3) + -1 + sqrt(3) + -4 + (sqrt(48)*-6)**2.\nAnswer: 2*sqrt(3) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 17*t**8\/336 - t**7\/70 - 43*t**5\/15 + t**4\/12 + 1440*t**2. What is the third derivative of a(d) wrt d?\nAnswer: 1020*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 + 9*p**2 + 31*p + 22. Let x(y) = -y**3 - 3*y**2 - 10*y - 7. Let j(c) = -2*o(c) - 7*x(c). Let s be j(5). Sort -4, -11, s in decreasing order.\nAnswer: -4, s, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/3 + 862*a**2 - 39930*a + 112050 = 0.\nAnswer: 3, 45, 1245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)*v*v**(-4))**(1\/51) assuming v is positive.\nAnswer: v**(-5\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*14\/(-10) + (-1015)\/203?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 305*r**2 - 972*r**2 + 19*r.\nAnswer: -1277*r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.1 - 27.951. Let n = -4.149 + x. What is the fourth smallest value in -0.7, -5, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 5*o - 6. Let r be 2 - (2 + -4 + -2). Let n be h(r). Suppose 3*v - 2 - 4 = n. Solve -v*w - 5*p - 15 = -7*w, -2*p - 14 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 1\/3*v**6 + 0*v**2 + 0*v + 0*v**4 + 0*v**5 - 1\/3*v**3 - 3. What is the third derivative of q(k) wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/5, 5, -127?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 80748349998 and 90.\nAnswer: 80748350088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 18*g**2 - 81*g + 7798. Determine p(27).\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1975868\/193 > -10239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/3 + d**2 + d\/3 - 1 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p - 20*p + 36*p + 15 to the form l + f*p and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2262 - 2*c + 2262.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -1\/3, 93604, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssywyssysgtwstss. Give prob of sequence yyss.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229375 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12072 and 1008.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e7e (base 15) to base 14.\nAnswer: -25c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucdvfucuvvhhfuvuuuv. Give prob of picking 1 c and 1 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/(-470))\/((-8)\/(-20)). Let b = x - -110\/799. What is the second smallest value in -5, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35\/((-28)\/4) + 3517?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(7\/7 - 10\/8). Determine n, given that -1\/2*n + 0 + 1\/2*n**4 + q*n**3 - 1\/2*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o + 113. Let g = 2 + 17. Determine p(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -2 - 2 - (-563 - -569).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and -109\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 18*q + 11*q)*(-q + 0*q - q).\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-5)\/((-15)\/9). Suppose 15 = 3*k + 3*l - t, -4*l = -16. Suppose -k*m - 15 = -5*m. Solve -9 = m*i + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(5 + 5 - 6) + 1 + 0 + 4)*(2*t**2 - t**3 - 2*t**2).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/13 or 9?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -6*k. Which is the closest to k? (a) -6 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/(21\/(21420\/40)). What is the greatest common divisor of 1819 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v + 3*v**2 + 23*v + 19*v in the form o*v**2 + q*v + d and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-33))\/((-8)\/(-44)). Is 32\/(-8) + (134 - (r - -1)) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4528 + -4528. What is the nearest to 9 in -2\/15, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478958562 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592*k + 1595*k + 36 = 0, -40 = 2*c + 4*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -a + r - 9, -4*r = 2*a + 18. What is the closest to -1 in -2\/7, a, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/34)\/((-27306)\/206312)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55894 or -111787\/2?\nAnswer: -55894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14289\/44)\/((-5)\/((-10)\/(-3))). Let i = q - -217. What is the biggest value in 4\/39, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -67*y**2 - 5*y. Let g(z) = z**2. Give x(g(h)).\nAnswer: -67*h**4 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*i - 8*i. Suppose -3*k + 11 = 4*n, -n - 11 = -k - k. Suppose 5*a - 28 - 2 = d, 0 = 2*a + d - k. Calculate the remainder when i is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, v: 6}. What is prob of picking 3 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -3*m**6\/40 + 3*m**4\/8 + m**2. What is the second derivative of t(i) wrt i?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 11 - 7\/1. Calculate the remainder when 16 is divided by k + -6 + 4 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/16 and 59\/43852.\nAnswer: 175408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11537972909 and 0.\nAnswer: -11537972909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**6\/120 - c**5\/40 + c**4\/48 + c + 1. Let i(j) be the first derivative of d(j). Factor i(w).\nAnswer: w**2*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -4. Let o(i) = -4*i - 18. Let d be o(-5). What is the units digit of (q\/d)\/((-2)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 29 - 41 = -4*f, -3*g + 2*f + 42 = 0. Suppose g*p - 12*p = 0. Solve -3*v - l + 6*l = -18, l + 3 = p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*u - 4 + 21*u - 34 + 26*u to q + s*u and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 28. Let q = 10 + i. Suppose -q*o + 3*y + 77 = 0, o - 31 = y + 2*y. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72500 rounded to the nearest one thousand?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9905 + -9905. Let h(o) be the third derivative of s*o**3 + 0*o - 24*o**2 + 0 + 0*o**4 + 1\/20*o**5. Let v(c) = -10*c**2. Give h(v(u)).\nAnswer: 300*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*u**2 - 12\/5 - 12\/5*u.\nAnswer: -3*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**7\/210 + 2*y**6\/45 + y**5\/10 + 5*y**3 - 7. Let l(f) be the third derivative of c(f). Solve l(z) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -118, -1\/13?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 11, 14, 17, 20, 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 7*s**2 + s - 2. What are the prime factors of q(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 33*k - 2. Let r(h) = -1617*h + 99. Let u(z) = -z**2 - 38*z + 937. Let s be u(17). Calculate s*r(a) + 99*i(a).\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 16. Let h(m) be the first derivative of -m - 1\/4*m**4 - m**2 + m**i + 1. What is h(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhvvhvvvhvhhhvy. Give prob of picking 2 v and 2 h.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/9))**(-5) assuming k is positive.\nAnswer: k**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 206548416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 12. Suppose -620 = -2*t + 5*u + 471, 558 = t - 5*u. Let v = -333 + t. What is the greatest common factor of v and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(2*o + 4 - 4) + (o + 4*o - 4*o)*(4 + 0 + 3))*(7 - 8 + 21).\nAnswer: 180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4730 + 4730.191. Which is the nearest to 0.1? (a) x (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 + 6*y - 6. Let s be v(4). Let g be (3\/(-4))\/((-51)\/272). Suppose a + g = 2*z, -5*z + 11 = -5*a + 1. Solve -s*q = z*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010212202 (base 3) to base 10\nAnswer: 22511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3751, -7503, -11255?\n\"Answer: -3752*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 102*v**2 + 1157*v = 0. Calculate v.\nAnswer: 0, 13, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 267 = 13*l. Suppose l + 113 = 5*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 207?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.01, 12\/7, -5, -14319 in ascending order.\nAnswer: -14319, -5, -2\/9, -0.01, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-133))\/((-18)\/(-3150)*-15)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12003521?\nAnswer: 3413, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-7))\/1 + 3096\/168. Suppose c + x = 6, 4*c = 8*c - x - j. Solve -8 = 3*b + c*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -7. Suppose 2*m = 12 + 36. Calculate the greatest common factor of m and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8559 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1) + (-2)\/(-18))*-2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 101*i**2 - 3292*i - 399. Determine r(127).\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 25*s - 52. Let m be d(8). Suppose -p - 4 + 2 = 0, m = a - 4*p. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {d: 7, a: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n + 46*n = -7175. Suppose i + n = 26*i. What is the least common multiple of 3 and i?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -22 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*u = -196*u - 12. What are the prime factors of 60\/(-30)*82\/u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2. Let o = 48 + 25. Let a(c) = 73*c + 5*c**2 - o*c. Give b(a(i)).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from xvbbxbbv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328 - -5. Let w = o - 333.00227. What is w rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/17228?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 77*u**2 - 74*u - 65. Let c be f(-30). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, y: 5}. What is prob of picking 3 g?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3547\/10 - 355. Put 0.1, o, -2, 5 in increasing order.\nAnswer: -2, o, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*h + 1386942 = 91*h - 65*h. List the prime factors of h.\nAnswer: 2, 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/87052 and 39\/14.\nAnswer: 87052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*p**4 - 23740*p**3 - 18968*p**2 - 3792*p.\nAnswer: -2*p*(p + 474)*(5*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -25 + 38 + (2 + -23 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.156809l?\nAnswer: 156.809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-6 - 0) + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-20)*(-60)\/(-8). Which is the closest to 0? (a) f (b) 0.1 (c) -226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 420 = k. Suppose -3*u + u + 8 = 0. Suppose k + 20 = u*f. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1 + 52*f**3 + 2467*f**2 - 2467*f**2 + 0. Calculate m(-1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001222212011 - 22210?\nAnswer: -1002000011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96454.\nAnswer: 2, 29, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d - 1769 + 54*d**2 + 1778 + 2*d. Is i(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**6 + 0*m**5 + 4 + 2\/3*m**3 + 0*m + 0*m**2 + 4\/7*m**7 + 0*m**4. What is the third derivative of s(y) wrt y?\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -15, -28, -45, -66?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-9 + 5) - (1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 1 (c) 2\/9 (d) 3\/7 (e) 2\/503 (f) 3 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364613067 by 9.\nAnswer: -40512563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 32 = -r. Calculate the remainder when 11 is divided by 4\/r - (-46)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*68\/85.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70*(-100)\/33250*38.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31857.80334 - 31843.4. Let w = -14.4 + m. What is w rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -160920624\/19 = -8469508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 2. Let i(r) = -r**3 - 15*r**2 - 2*r + 8. Let s be i(-15). Let b = -34 + s. Sort 3, b, y in descending order.\nAnswer: b, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 63*y - 86*y - 293 = 0, -4*y = 2*w + 28. Find d such that -7\/2*d**2 - 1\/2*d**3 - 6 - w*d = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -n + 2, d - 1 + 2 = -4*n. Suppose n = 14*q - 141643 - 23375. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97 - -191) + -70 - -63.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-2*x - x + x)*(x**2 + x**2 - 3*x**2) to the form f*x + q*x**3 + d + a*x**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 61\/27, 3 in descending order.\nAnswer: 3, 61\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617188 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/4 and -187\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 83 = -1743. Suppose -8*o = 100 - l. What is the highest common factor of o and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2282 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.266381*-0.236\nAnswer: 0.062865916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(28) + sqrt(7) + 3)**2*5.\nAnswer: -90*sqrt(7) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/114)\/(2185\/(-21850))\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 7*o**2 + o + 5. Give g(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:30 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2449\/7329 - 2\/2443. Is o at most as big as -21\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2083 + 235 = -4*b. Calculate the greatest common divisor of b and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/(15\/70). Find the first derivative of 3 - 3*w**l + 6*w**4 - 7 wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*s**3 - 119*s**3 - 155*s**3.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 10 + 8. Let d(c) = -c**2 - 2*c + 8. Let x be d(-6). Let q be (-6)\/4*x\/m. Solve p + q = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (206*(-5)\/20)\/((-50)\/68) + (-217)\/5425?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Let a(y) = -y**2 + 12*y + 25. Let o be a(13). Let t(s) = -86 + 44 - o*s + 42. Calculate h(t(x)).\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(272) + sqrt(272) + sqrt(272) + -2 + sqrt(272))*-6 + 4)*-2 + 3)*-5)**2.\nAnswer: -278400*sqrt(17) + 15688225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foof when four letters picked without replacement from ofoofooooooofoofooo?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2*-2)\/(sqrt(144)*-2))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100443151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1111111 - 42?\nAnswer: 1111014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1000202120220 (base 3) to base 4\nAnswer: 2011122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 91 + 163. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2 + 0 = 2*o, -3*c - 2 = -5*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 154 - 71 + 55 = 5*t - 97, -4*t + 360 = -47*i for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*b - 28 = 0, 3*n = 7*b - 6*b - 17. Let h(w) be the first derivative of 3*w**2\/2 + 3*w + 1. Let j(y) = -2*y - 2. Give n*h(q) - 7*j(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 7*s - 1. Let b be p(6). Let m = b - -12. Solve -m*o + 2*d + 30 = 7*d, 5*o - 9 = 2*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 = 4*r, -4*v - 20 = -4*r - 0*v. What is the third derivative of 14*s**r - 6*s**2 - 8*s**2 - 7*s**4 wrt s?\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10033044040 (base 5) to base 9\nAnswer: 20816770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -351*p**2*q**2 + p*q**2 + p*q + 55*q**2 + 6 wrt p?\nAnswer: -702*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from pjydbdbybyybdyjyypp?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n + 12. Let d be k(12). Let u = d + 35. What is the closest to 0 in u, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 13\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - x - 15496 = 0, -14*m + 4*x = -11*m - 11635. What are the prime factors of m?\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/9)\/i)\/i)**(-5\/9)*i*i**(-6)*i*i**(-2\/5) assuming i is positive.\nAnswer: i**(-1282\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 14042*k**3 - 7010*k**3 + 28*k**2 - 7026*k**3.\nAnswer: 6*k**3 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -4, 45 in decreasing order.\nAnswer: 45, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**8\/1680 - i**6\/180 + 11*i**4\/12 - 12*i. Let v(h) be the third derivative of r(h). Factor v(a).\nAnswer: 4*a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-9))\/(7\/84). Suppose -1596 = -4*c - i. Does 43 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 11.84 (b) 1 (c) -5\/4 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -13) + 3 + -8 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1432687*q**3 - 2*q**2 + q + 851508?\nAnswer: 8596122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:59 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -25, 6, 71, 182, 351?\n\"Answer: 2*b**3 - b**2 - 2*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.034 - -0.03. Let n = 0.097 + v. What is n rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 43.6. Let v = -0.463 - -0.063. Let k = 1.087 - 0.087. Sort v, j, k in increasing order.\nAnswer: v, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 61*m**2 + 118*m - 1. Does 18 divide a(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*m + 1073*m + 217*m + 529*m + 5249*m.\nAnswer: 7536*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 35 = 5*k, 3*y - 4*k + 0*k = -14. Let s be (-63)\/(-6) - 1\/y. Let h be 0*(-1)\/1 + 5. Solve 0 - s = h*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1849 bigger than -1849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 258*j + 1934. What is u(121)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193471.6 millilitres to litres.\nAnswer: 193.4716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 204259048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272) - sqrt(272))**2*-3 - 6*(1 + sqrt(272))) + 5 - ((2 + (sqrt(272) + -1 + sqrt(272))**2)*-5 + -1).\nAnswer: -104*sqrt(17) + 5452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*u = 5, 2*f = -f - 2*u - 1. Let b be f*2\/(-2) - 11. Let n be b*5\/((-30)\/16). Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521 divided by -8?\nAnswer: 1521\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (286620\/(-23604))\/(2\/(-14))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (12 + (-675)\/33).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*d + 308, -3*p + 468*d = 469*d + 73 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 2. Let p = -30 + 29. Let r be n(p). Which is bigger: r or -19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 bigger than 431032\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 28 = -2*i, -99 = 3*i - 5*b - 43. Let f be (i\/(-10))\/((-6)\/15) + 21. What is the highest common factor of 24 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 27*(-120)\/234) + -2 + -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -740.\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 8*a - 4. Let c be q(-7). Solve -d = c*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.601262529 and 0.5.\nAnswer: 1.101262529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1292117, -2584173, -3876229?\nAnswer: -5168285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, x: 5}. Give prob of picking 4 x.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*s - 329*s**3 - 34*s + 328*s**3 - 46*s.\nAnswer: -s**3 + 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16045000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275.57146 + 283.5714604. Let g = h - 8. Round g to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l + u - 1, -4*u - 8 = 3*l. Suppose -x + 5 = -l*x. Which is the third biggest value? (a) x (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-49649)\/(-1895))\/(2\/6530)?\nAnswer: 131, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60916, -243647, -548198, -974569, -1522760?\nAnswer: -2192771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxug when four letters picked without replacement from ppuopjppxuogpppo.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -938 or 3?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12110122100200?\nAnswer: -12110122100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470734.2 centimeters to nanometers.\nAnswer: 4707342000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, 1\/17, -13\/5?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 30*b. Let a(k) = k. Let d(f) = 25*a(f) - n(f). Let v(j) = 6*j. Give v(d(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**2 - 20*u + 18. Let v be y(1). Let d be 11\/(165\/v)*0\/1. Solve -3*l - 3*g = -2*g - 7, l - 2*g = d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/385 + -2542\/385. What is the common denominator of n and -50\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/5, 25\/6, -4, -1\/2, 5\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/480*-186 + (-35)\/(-28) - 130\/(-100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 984 and 12956?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -43. Suppose -4*z = -10 - f. Solve -5*n + z*c = 30, -3*n - n + 21 = 5*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 33072.\nAnswer: 231504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Suppose -3*i + 0*q + 58 = 2*q, j*i - 5*q - 44 = 0. Suppose -s = -65 - i. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 5, -3, -0.3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 1.2. Let k(s) = -s. Let t be k(0). Which is the closest to 0.1? (a) -4 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 13 = -6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33987220, 135948883, 305884988, 543795535, 849680524, 1223539955?\n\"Answer: 33987221*n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6783.175 decades in years?\nAnswer: 67831.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -17*b + 234. Let t be y(14). Let j(q) = -q**3 - 4*q**2 - 4*q - 4. Let r(x) = -x**3 + x**2 + x + 1. What is t*r(n) - j(n)?\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w - 53*w - 3 = 0. Factor -7*m**2 + 12*m**2 + 2*m**w - 4*m**3 + 1 + 0 - 4*m.\nAnswer: -(m - 1)**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036807020?\nAnswer: 2, 5, 41, 2483911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6376464 less than 6376466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 942, 1725, 2344, 2799, 3090, 3217, 3180?\n\"Answer: -82*a**2 + 1029*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 16 = 4*n - 119, 332*u - 4*n = 314*u - 402 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 12 - 37. Suppose h*v - 15 = 10. Solve 8*c + 7 = 3*c + g, -v*g - 15 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2169167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-4)*(-2)\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-6) + 1\/(-2). Suppose o*i = i + 20. What is the second derivative of j**5 - 11*j - 2*j**5 - 4*j**i wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 56 = -2*j, -3*j = -5*t - 4*j + 122. Let b be 15\/t + (-6)\/10. Suppose 3*c + 63 = 3*d, b = 4*d + 2*c - 74 - 34. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 26951 = -4927. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/7 - 264*v**3\/7 + 10716*v**2\/7 - 176168*v\/7 + 1028850\/7 = 0?\nAnswer: 19, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b + 3065. Let a(m) = -11*m - 3065. Give -8*a(y) - 9*i(y).\nAnswer: -2*y - 3065","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18738 (base 11) to base 9\nAnswer: -38815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 - 5*u - 3. Let f(j) = -j**2. Let t be ((20\/(-3))\/4)\/(105\/(-378)). Let r(v) = t*f(v) + l(v). Determine r(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -164 in descending order.\nAnswer: 3, -4, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3*(-29 - 4). Let w(f) = -f**2 - 12*f + 4. Calculate the remainder when 44 is divided by w(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of (-81)\/(-135) + (-2844)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n + 4 = 0. Let j be 5 - (4 + 2 - -10). Put 4, n, 5, j in descending order.\nAnswer: 5, 4, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81869, -81872, -81897, -81950, -82037, -82164, -82337?\nAnswer: -82562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 528b (base 14) to base 9\nAnswer: 21466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35426007 + 35426007 + 11*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l**2 + 1316*l + 5. Let w be p(-94). Solve -w*g = -h + 9, 0 = -4*g - 4*h - 10 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 654073 + 1?\nAnswer: 654074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Let v be -16*(93\/(-12) - -1). Suppose 0 = g - l*g + v. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n**2 - 4*n**2 - 136912*n + 137066*n)*(3*n**2 - n**2 - 4*n**2) as l*n**3 + z*n**2 + t*n + m + p*n**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 38*p + p**3 - 38*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 8*h**2 - h + 2. Does 13 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158980565, -158980561, -158980557?\n\"Answer: 4*l - 158980569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*n - 460 = 72 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2379 is divided by 578?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 9*y**2 - 8*y + 5. Let u be x(-8). Solve -27 = -5*v + v - u*s, -v = s - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2323886671 + 0?\nAnswer: -2323886671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 85234896963 and 2040?\nAnswer: 85234894923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -827, -2, 2, -5, 0, -24 in descending order.\nAnswer: 2, 0, -1, -2, -5, -24, -827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {p: 8, e: 2, l: 2, c: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 876 - 872. Solve s = 3*b - 12, 0*s + 21 = -f*s + 3*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/26 - 3444\/78. What is the units digit of (v\/(-5))\/((-12)\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - a + 85, -7*u + 3*u + 102 = -u - 7*a for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 620209 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1474.774 - 1476. Let f = n - -1.226004556. What is f rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36662, -36679, -36696, -36713?\n\"Answer: -17*r - 36645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00108874 rounded to 6 dps?\nAnswer: 0.001089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(162))*-6 + -2*(-4 + 2 + sqrt(200))*2.\nAnswer: -94*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -573481, -573479, -573473, -573463, -573449, -573431?\nAnswer: -573409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 26*t - 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1344 and 103\/112882.\nAnswer: 10836672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**4 - t**3\/3 + t**2\/2 + 3*t - 13. Is 33 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10034 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4125, -8249, -12373, -16497, -20621, -24745?\nAnswer: -28869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120434 at most as big as 120406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**(-1\/3)))\/u)**(9\/2)*((u\/u**(1\/2))\/u*u)**(-7\/3))**(-8\/9))**2 assuming u is positive.\nAnswer: u**(200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98059539 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 2, -4, 2\/7, -17\/91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1 - 6*l + 4*l + 1. Let s(k) = -5*k**2 - 9. Let q(o) = -o**2 - 2. Let d(y) = -9*q(y) + 2*s(y). Give p(d(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -640.675 - 1.325. Let w = r - -659. Let q = -0.3 + -0.2. Which is the smallest value? (a) w (b) 5 (c) q (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220872570 by 6.\nAnswer: -36812095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2 + 2*n - 3. Let r be g(3). Let j be -2 - (-21)\/6*2. Suppose -5*k = r*t - 16, -j*k - 2 = -3*k. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (376\/8)\/((-20)\/(-240)). What is the highest common divisor of 2679 and d?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + sqrt(1900) + -2 + -4)*-6)**2.\nAnswer: -8640*sqrt(19) + 274896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 17. Suppose -6*o + 7 = -11. Suppose 4*x = -o*n - 3, -2 - q = -2*n + x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 + 6?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d - 3. Let i(k) = -k**2 + k + 1. Let w(j) = -3*g(j) - 6*i(j). Differentiate w(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*s - 60. Let x be (-3)\/s*-2*1 + 3. Solve 4*g = -0*g + 3*q + 5, x*g + q + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 1049 - 2*g - g**3 - 1064 + g**4 + 4*g**2 - 2*g**4 + g**4 in the form v*g**3 + o*g**4 + p + q*g + u*g**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29831745 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -664063, -2656153, -5976303, -10624513, -16600783?\nAnswer: -23905113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 - 3*w**2 + 2*w - 8. Let v = 574 - 568. Let l be y(v). What is the greatest common divisor of l and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12 = 4*y, -m - 3 = -5*y + 20. What is the remainder when 28 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 52. What is the closest to w in 4, -1, 1\/4, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 + 845*w**3 + 2798*w**2 wrt w.\nAnswer: -120*w**2 + 5070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6440 divide 392387060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10766163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000221 + 11112202?\nAnswer: -111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112441 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3271 - 1050001\/321. Let v = g + -34207\/4494. Calculate the common denominator of 9\/(-60)*(-109)\/(-3) and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 2054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 2, f: 1, l: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.052 + 7.898. Let f = 8 - o. Which is the biggest value? (a) f (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2604b + -5?\nAnswer: -26054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14813\/168 - -1235\/14. Let t(u) be the third derivative of 0 + 0*u**3 + 0*u - 1\/60*u**5 - 31*u**2 + i*u**4. Factor t(r).\nAnswer: -r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + 364. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162633068 + 725*z**2 + 162633068 - 4422*z**2 - 55*z**2.\nAnswer: -3752*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15\/10)\/(30\/(-70))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143549.\nAnswer: 7, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, d: 7}. Give prob of sequence dwd.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6132 and 13440?\nAnswer: 981120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 0*t - 25, 10*t = 2*r - 5*r + 56 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*r + 30 + 20 - r**2 - 48 to y + a*r**2 + f*r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777892353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = f + 317. List the prime factors of f.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-315)\/(-6) + (-3)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 969 and 44859.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413 and 310045?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-25 + 6)) + -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -388*n + 397. What is u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/4*8\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2060*g**5 - 451*g**4 - 17630*g**2 + g - 10.\nAnswer: -123600*g**2 - 10824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (657\/(-1825))\/((-9)\/(-15)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - ((-32)\/48)\/((-2)\/(-2121))?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q. Suppose 4*u - 9 = 3. Let z(x) = -6*x - x**u + q*x**3 + 2*x**3 + 4*x**2 - 2. Determine z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494537 is divided by 494421?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.048, -33.7, 0.3?\nAnswer: -33.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -305*z + 68 wrt z?\nAnswer: -305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -4 - 73\/3*z**3 - 49\/120*z**6 - 1\/12*z**4 + 0*z**5 - 55*z**2 + 0*z. What is the first derivative of p(l) wrt l?\nAnswer: -147*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*q - 4, 24 = -2*p - 4*q. Let n be -8*(3 + p) - 0. What is the tens digit of (176\/12)\/(n\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 + -2.2. Let v = 2.8 - 0.8. What is the closest to v in a, 2\/9, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - 3) - 3 - (1 + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -502, -497, -492?\n\"Answer: 5*l - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.155 and -48.74.\nAnswer: -48.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 593, 851, 1089, 1301, 1481?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - l - 7*l. Suppose -5*o = 4*h - 680 - 293, 0 = 3*o - 3. Let m(d) = -245*d**2 + 493*d**2 - h*d**2. Give r(m(n)).\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 125?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*n + 2*f, 4*f = 25*n - 18 - 2. Solve 23*a - 23 - 23 = n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -711 equal to -710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 2*o - 3*o)*(-2 + 9 + 48)*(0*o - 5*o + 4*o) to the form p + v*o + w*o**2 and give w.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 16*a = 2730. Round a to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l. Let p(m) be the third derivative of m**8\/20160 + m**5\/20 - 6*m**2. Let q(r) be the third derivative of p(r). What is x(q(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 447354.\nAnswer: -2\/223677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 528487961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 2*g - 77 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 54. Suppose 0*b + k*b - 11*b = 0. Let p(z) = z**3 + z**2 + z - 14. Give p(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46316, 45683, 44618, 43115, 41168, 38771, 35918, 32603?\n\"Answer: -f**3 - 210*f**2 + 4*f + 46523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.461027439 to five decimal places.\nAnswer: -0.46103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drd. What is prob of sequence dr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**2 + 2. Let f(n) be the second derivative of 5*n**3\/3 + 1871*n - 2. Determine f(c(k)).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(112)*6 + -3 + 2*sqrt(112).\nAnswer: -40*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(11\/5)\/v))\/v*v*(v*v*v**35)\/v)\/(v**30\/(v\/v**(6\/5))) assuming v is positive.\nAnswer: v**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283.1575 millilitres to litres.\nAnswer: 0.2831575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a**4 + 28*a**3 + 4*a**2 - 28*a + 8 = 0. What is a?\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, 3280418 in ascending order.\nAnswer: -2, 2, 4, 3280418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j + 22. Let h(n) = 5 + n + 11 - 21 + 8. Give -44*h(u) + 6*x(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077327 rounded to four dps?\nAnswer: 0.0773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.251376 rounded to 3 dps?\nAnswer: -1.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 2*r + 0 + 2 - 2 + 8.\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6840 and 855.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1952 - 1776.38. Let p = 175 - r. Which is bigger: p or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/3 - 124174*l**3\/3 + 854736610*l**2 - 17494069167946*l\/3 - 2426934070293712\/3 = 0.\nAnswer: -136, 20741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - 135*l + 4. Let d(i) = i**2 + 135*i - 3. Give 3*d(c) + 2*n(c).\nAnswer: -3*c**2 + 135*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004536 to 4 decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - z + 2. Let l be p(-2). Suppose u + 38 = 5*w + 3, l = -2*u - 4*w. Let r = 5 - u. Solve -h + 2*x = 11, -2*x + r = 5*h + 2*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 0.2 (b) 0 (c) -0.04 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (179 - (-7 - -7))*-2. What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 6 (b) 1\/9 (c) 0.4 (d) 503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 743 + 71 = 0. Let p be (18\/(-8))\/((-18)\/q). Suppose -37 = -v + p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 750093 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2745 - -2745.2. Which is the fourth biggest value? (a) -2 (b) u (c) -7\/8 (d) 10 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + h. Let y be t(-2). Let u(b) = 1 - 1 + 5*b. Let d be u(y). Calculate the highest common divisor of d and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*x**3 + 1858*x**3 - 2413*x**3.\nAnswer: -181*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 250*j**3 + 9*j**2 - 42*j - 61. Is m(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**2 + 44*j - 34982?\nAnswer: 6*j + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-485)\/2)\/(-10 + 118\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088050.387 rounded to the nearest 1000?\nAnswer: -2088000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14 + 18 = 0. Suppose 0 = 4*w - 3*x - 84 + 21, -i = w + 4*x. Suppose -143 = -4*j - 3. What is the remainder when j is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020663618 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*y = -10, -1 = k - 4*y - 0. Suppose -2 = -3*a - j, k*a - 4 = j + 6. What is the remainder when 56 is divided by (12\/a - 3) + 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - k - 67 = 0, 0 = 2*c + 1348*k - 1352*k + 40 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Let c(s) = 35*s**2. Determine c(i(l)).\nAnswer: 35*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1, -1217*l - 446 = -1218*l + 3*u. What is the remainder when l is divided by (8 - -1) + 5 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81911.1 litres in millilitres?\nAnswer: 81911100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 8\/33429913 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 141*y - 2*y + 2*y**2 + 140*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.9 + 40. Let g = -1.95 + 2. Let v = 4.05 - g. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550731538*0.5\nAnswer: -275365769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*a + 3*a. Suppose 0 = a*z + 2 - 24. Suppose -2*i + z = -i. Calculate the greatest common divisor of 66 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k\/k**(-14)))))**(-46) assuming k is positive.\nAnswer: k**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - (-55 - -148)) + 57.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157363316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(2*s**2 - 1550*s**3 - 6*s**2 + 70*s + 1552*s**3).\nAnswer: 4*s**3 - 8*s**2 + 140*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228.9*-6.7.\nAnswer: 1533.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.19+16043258\nAnswer: 16043258.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 22387*z**3 - 291160*z**2 - 896000*z.\nAnswer: z*(z - 22400)*(z + 5)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-12))\/(2*(-1)\/(-114)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9396 is divided by 651.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*x - 1. Let f(p) = -p**2 - 6*p - 4. Let o(c) = c**2 + c + 1. Give x*o(m) + f(m).\nAnswer: 2*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4036*p**2 - 45*p + 50. What is w(1)?\nAnswer: -4031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 988*r - 251 - 426*r + 132 + 119 to o*r**3 + t*r**2 + y + j*r and give j.\nAnswer: -1414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142\/(-3))\/(7888\/(-11832)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2699 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 11*f - 879. Calculate the remainder when 245 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-56)\/(-10))\/14)\/((-130)\/(-25) + -4). Suppose a*m**2 + 13\/6*m**3 + 4*m**4 + 0 + 3\/2*m**5 + 0*m = 0. What is m?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22998699.\nAnswer: 3, 229, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1810 and -37\/163986?\nAnswer: 819930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -225, -414, -655, -966?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**4 + 3537624*w**3 + 1179198*w**2 - 3537624*w - 1179207 = 0. What is w?\nAnswer: -393069, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 13770 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:12 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11094 - -18631. List the prime factors of r.\nAnswer: 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -16\/1533, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.7 + 7. Let g = v - -0.8. What is the second biggest value in -1\/4, -1, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550949.2 rounded to the nearest 1000?\nAnswer: -551000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-6) + (-76)\/228?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 18 - 18 - 3*k + 2*k**3.\nAnswer: 2*k**3 - 3*k - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:22 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 11*r**2 + 52. Determine n(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24012.3*-2.\nAnswer: -48024.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*a + 2251 = 0, 4*q = 2*q + a - 895. Let w = 880 + q. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209528715746 + 3.21?\nAnswer: 209528715749.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/12 + a**4\/24 - a**3\/6 + 40*a**2. Let j be 1\/(4\/(-16)*-4). Calculate m(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 31, -99 in descending order.\nAnswer: 31, 4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 2, -3, -185?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95240705, 190481404, 285722103?\n\"Answer: 95240699*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38316 and 5350104?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:19 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -144993*q + 144997*q. Let k(m) = -22*m + 240. What is k(q)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10237*k + 3378*k + 3366*k + 3487*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -6*u - 48. Is ((-66104)\/u - 4\/(-6))\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59775754*g**3 + 103334589*g**2 wrt g?\nAnswer: 358654524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 2:35 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/2 + 52*d**3\/3 - 28*d**2 - 45*d - 245. Calculate the remainder when 29 is divided by g(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 3*l - 6*l + (-2*l - 1 + 1)*(2 - 1 + 0) + 4 - 4 - 2*l - l + 5*l - 3*l - 3 - l + 3 + (l - 4*l + 2*l)*(0 - 1 + 0).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -26*p - 930. Give h(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1055\/7 - 151. Which is the nearest to r? (a) -2\/15 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42524424 + -35?\nAnswer: -42524503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 46*x + 4 + 8*x - 4 + x**3 - 43*x**2 = 0. Calculate x.\nAnswer: 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 7*s - 6. Suppose -40*t + 42*t + 2*a = 4, 3*t + 2*a - 10 = 0. Let m(g) = 9*g**2 + 14*g - 13. Determine t*m(u) - 13*p(u).\nAnswer: 2*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = -70*q - 39360 + 39192 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + 177725?\nAnswer: 177677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x = -58*x. Which is the second smallest value? (a) 0.06 (b) x (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137565515 + -376516795012\/2737. Let x = 1\/391 + w. Find the common denominator of x and -119\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 110535 = -39114. Does 66 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -2676, -9026, -21390, -41772, -72176, -114606?\nAnswer: -171066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -694\/3 + 219. Let v = 13 + o. Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o + 39. Let l be z(-7). Let q(w) = -w**3 + w**2 - w + 1. Let d(f) = -5*f**3 + f**2 - 2*f + 3. Calculate l*q(k) + d(k).\nAnswer: -2*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1088\/5304193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/7))\/(t\/t**6)*(t**0\/t)\/t*t*(t*(t\/(t**4*t))\/t*t*t)\/t)**(-19) assuming t is positive.\nAnswer: t**(-285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (72 - (-38 + 62)) - -35?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - -1) + -4)\/(-1). What is the third derivative of s**6 - 3*s**3 + j*s**3 + 2*s**2 wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3857 = 8*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmmmmy. Give prob of sequence mmmy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36545*x**3 + 0*x**2 + 0*x**2 - 36542*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62674765291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 339*n**2 - n. Suppose 13 = 18*m + 31. What is the tens digit of x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3)**2*5 + 4.\nAnswer: -30*sqrt(5) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + m + 17 = 2, -l = -2*m - 17. Suppose 18*q = l*q + 5. Let i be (-13)\/(-1 + q*(4 + -2)). Which is bigger: i or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/300 + 3*x**5\/50 - x**4\/6 - x**2 - 19*x. Find n, given that b(n) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/20 + n**4\/6 + 5*n**3\/6 + 5*n**2\/2 + 35*n. Let l be f(-2). Let m(c) = -16*c**3 + 7*c**2 - 4*c - 22. Is m(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = 1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5516228 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 3. Suppose 0 = w + 2*w - 15. Let u be m(w). Let x = -4\/15 + 23\/30. Put x, 0.2, u in ascending order.\nAnswer: 0.2, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.32399s in milliseconds?\nAnswer: 42323.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p - 24. Let j be 2\/((6\/(-8))\/3). What is the units digit of y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 12*a + 8. Let x = -82 + 28. Let f = x + 42. Is b(f) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -387350 + 387348.964014. Let r = a + 1.038. What is r rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7 = 3. Factor m**2 + 3*m**2 - 4*m**b + 2*m**5 - 4*m**4 + 2*m**3.\nAnswer: 2*m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c2 (base 14) in base 10?\nAnswer: -1738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -30539, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 12) to base 7.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + m)*(2*m**2 - m**3 - 2*m**2) - 1489*m**4 + 53*m**2 - 1355*m**2 + 1492*m**4 to the form q*m**2 + b*m + k + y*m**3 + i*m**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -30*n - 823. Let x(l) = -11*l - 274. Give 4*h(t) - 11*x(t).\nAnswer: t - 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21228?\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**7\/105 + u**3\/6 - 5*u**2\/2 - 1. Let w(o) be the second derivative of k(o). Differentiate w(g) with respect to g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d + 6. Let i(j) = -j**2 + 7. Let y be i(3). Let u be k(y). Is 16 a factor of u\/10 - 1328\/(-80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -92*j - 606. Let c be f(-8). Solve 50 = 20*l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 8*c + 144. Calculate the least common multiple of c\/(-4) + (-2 - -5) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -39. Suppose s*n - 1250 = 20*n. Let k = 420 + n. Does 32 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**6*s\/(s**17*s))\/(s**(3\/4))**13 assuming s is positive.\nAnswer: s**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 23252*k - 232640. Calculate s(10).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 2. Let q be g(-2). Differentiate 5*c**2 + c**q - 3*c**2 + 3 - 6*c**2 with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26524781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 8*x**3 - 18 - 2 - 12*x**3 + 5*x in the form l + g*x**2 + z*x + s*x**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32421256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**3 - 2*l**3 - 7*l**3 + (-2*l - l + 2*l)*(3*l**2 + 2*l**2 - 6*l**2) - 3*l**3 - l**3 + 5*l**3 - 4*l + 4*l + l**3 + 2*l**3 + l**3 - 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 458 and 667131960?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 - -3) + -21 + (51 - 36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 3:38 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + 112211?\nAnswer: 120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -143*i**3 - 17*i + 6. Is 14 a factor of o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 7\/23 (c) -11 (d) 0.6 (e) -5\/6 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 11:21 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 3*h = -20*v - 23, 3*h + 17 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + ((-2)\/5)\/(1\/5). Is 68 + m\/(2 - -3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36099, -144283, -324591, -577023?\n\"Answer: -36062*b**2 + 2*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + h)*(2*h**4 + h**4 + 0*h**4 + (0 + 0 + h)*(4*h**2 + h**3 - 4*h**2) + 0*h**4 + 3*h**4 - h**4).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2763, -5457, -8151?\nAnswer: -10845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 9*l - 2. Let o be r(-7). Suppose o = -5*d - 8. Let k = 0.2 - 0.6. What is the third biggest value in 2\/13, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10466.\nAnswer: 2, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-675)\/(2070\/46)*(-6)\/162\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-10)*r)\/r*r**(-14) assuming r is positive.\nAnswer: r**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07188 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let h be t(-4). Let o = -0.2 + 0.2. Let i = -22 + 22.2. What is the smallest value in i, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2831*q + 2829*q - 2*x, 2*x - 37 = 7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*a + 3*a. Suppose -a*k = -8*k + 5*n + 90, 90 = 3*k - 4*n. Let j = k + -1187\/40. What is the common denominator of 48\/7 and j?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.010982 - -24.069982. Let o = l - 24. Let v = o + -0.04. What is v rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 552 - 550. Suppose w*t = -2*y + 56, 0 = -5*y - 3*t + 41 + 103. Calculate the highest common factor of 40 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + (sqrt(68) - (sqrt(68) + -1 + sqrt(68)))**2 - (sqrt(68) - (sqrt(68) + -1 + sqrt(68) + 3))) + ((sqrt(68) + -1)*6 + 5 + 0 + sqrt(68))**2*6.\nAnswer: -166*sqrt(17) + 19929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11 (b) 16 (c) 0.08 (d) -3 (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6164, -6147, -6126, -6107, -6096, -6099, -6122?\n\"Answer: -n**3 + 8*n**2 - 6171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16*p + 144. Let c be s(9). What is the second biggest value in -4, -166, c, 3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 14694.16 meters?\nAnswer: 14694160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -119038.27 and 4.\nAnswer: -476153.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271021 a multiple of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 7089270?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*g = 6, 0*z + 3*z + 5*g = 14. Let x = -10 + z. Suppose 4*a - h = 47, 4*a + x*h - 39 = a. Solve 6 = -p + 5*s, -2*p + p = 4*s - a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 789*i**2*k**4 - 31*i**2 + i*k**2 wrt k?\nAnswer: 18936*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5748 + 11477. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68287 is divided by 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*h = 259, -5*h = -0*y + 5*y - 280. Calculate the common denominator of y\/3*9\/(-66) and 99\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586476481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2210 = 49*b - 2930 + 1269. Calculate the remainder when 671 is divided by b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 42, 0, 3.\nAnswer: 0, 1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-20)*144\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) 0 (b) -0.3 (c) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 - 141*w**2 - 291*w - 147 = 0 for w.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2536 (base 8) to base 11.\nAnswer: 103a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*l - 561*l = 990 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) -0.05 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 881340.4 millilitres?\nAnswer: 881.3404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 3:40 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (24\/14 - 2)\/((-6885)\/(-1785))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 19 = 49. Suppose 24 = -8*t + w*t. Is 7761\/12 - 3\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88945247 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*q = -2*q + 147, -3*c = -2*q + 159. Let b = 49 - c. Is b - 4*(-9)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 - -129. Suppose -21*t + w*t = 192. What is the remainder when t is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3\/7 - 28*x**2 + 1312*x\/7 = 0?\nAnswer: 0, 8, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*r = 4 - 8, 0 = 3*u + 2*r - 6. Let x be 9 - 9 - (95239\/(-18732) + u). Let j = x + -3\/3122. What is the common denominator of 41\/24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-7)\/x)*x*x*x**(-6)\/x)\/(x**7)**26 assuming x is positive.\nAnswer: x**(-178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let o(w) = -6*w**2 + 6*w - 5. Let a(f) = 2*f**2 + f + 1. Let y(m) = 5*a(m) + o(m). Give y(z(d)).\nAnswer: 16*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r - 3*t = -6, -5*r + 2 = t. Suppose 0*u - 4*u = r. Let g(q) = -q**2 + 9. What is the units digit of g(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 4157.29?\nAnswer: -1247.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**2 - 9124390*s - 109493400 = 0.\nAnswer: -12, 1824890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 229137, 458668, 688197, 917724?\n\"Answer: -r**2 + 229534*r - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 27 = -2*d. Let y be 5 + -2*(-6)\/(-6). Differentiate 2*s + 10 - 2*s - d*s**y + 11 wrt s.\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/9)\/(t\/t**(-50)*t))**6 assuming t is positive.\nAnswer: t**(-952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/2030 and 77\/6.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 e, and 1 l when four letters picked without replacement from {w: 4, z: 2, d: 1, e: 2, l: 1, x: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44781*g**3 - 11217*g**2?\nAnswer: 268686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 4. Suppose -4*n = -u*n + 10. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**2 + 56*g. Let c(k) = -2*k**2 - 12*k. Let r(j) = 14*c(j) + 3*t(j). Let o(l) = 933*l. Give r(o(x)).\nAnswer: 1740978*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Let s(k) = 2*k**2 + 5*k + 4. Let o be s(-2). Sort o, -2, a in descending order.\nAnswer: o, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 19. Put 0.5, -5, q in decreasing order.\nAnswer: q, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25057544 to the power of 1\/2, to the nearest integer?\nAnswer: 5006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(o**3 + o**3 + 0*o**3 + (-3*o - o + 7*o)*(-2*o**2 - 11*o**2 - 10*o**2)) to the form h + r*o**2 + b*o + u*o**3 and give u.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a. Let y(r) be the third derivative of -5\/6*r**3 + 0*r - 3\/8*r**4 + 2*r**2 + a. Let u(l) = -5*l - 3. Calculate -5*u(b) + 3*y(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 4. Let r(i) = i**2 + 12*i + 5. Let x be r(-12). Suppose 2*b = -10, 0*a - 15 = -x*a - b. What is u(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f + 52 = 0. Let d = f - -8. Let t = -1.6 - 0.4. What is the closest to t in -0.3, d, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r\/((r*(r*r*r**0)\/r)\/r))\/r*r)*r)**(-34)*(r\/(r*r**(-6)))**(-14) assuming r is positive.\nAnswer: r**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 881 + -852. Solve 16 = 13*c + h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/3040 and -1\/17408.\nAnswer: 1653760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbbbbbt. What is prob of picking 2 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 678*c**3*x**2 + 67453*c**3 - 2*c**2*x - 2*x**3 wrt x.\nAnswer: 1356*c**3*x - 2*c**2 - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81.503 + -16.407. Let i = -78 - 21. Let h = c - i. Round h to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (35150\/323)\/5\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = 5*i, -7*c - 20 = -8*c + 5*i. Suppose 6*b + 3*f = b + 3714, 5*b - c*f - 3730 = 0. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from ttsttttsttdddsdttsd?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0553 and -10088.056.\nAnswer: -10088.0007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + -4 + 6 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + 2*j + (1 + 1 - 1)*(3*j - 3*j - 5*j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2 + 0*a**3 + 0*a**4 + 31\/2*a**2 + 0*a - 1\/6*a**6 + 0*a**5. What is the second derivative of x(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -54, 4, -15, 3, -4067 in descending order.\nAnswer: 4, 3, 0, -2, -15, -54, -4067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j + 135 - 135 - 4*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 4. Let a be c(-4). Suppose -a = -9*w + 4*w. Let u be (-20)\/11 - -1 - -1. Sort u, -0.3, w in descending order.\nAnswer: w, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14930224908 and -0.0953.\nAnswer: 14930224907.9047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + 4*o - 15, -4*k + 4*o + 20 = 0. Suppose 0 = k*q - 68 - 117. Calculate the remainder when 146 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((47 - 47) + 0 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*g + 331*g + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -208, -5, 6, -1 in increasing order.\nAnswer: -208, -5, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1.8, -3, 4, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d0c + 2?\nAnswer: d0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94241 rounded to the nearest 1000?\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) -2\/7 (c) 0 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 5. Let x(f) = -2*f - 11. Let q(o) = -7*w(o) + 3*x(o). Suppose 6*m - m + 10 = 0. Let a be q(m). Solve 0 = -4*v - a - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95375 + 2936?\nAnswer: 98311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 17. Find the common denominator of (h\/18 - -5)\/((-4)\/(-81)) and 114\/8 - (-12)\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177338 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 7. Let o = 5 - m. Is -0.3 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - -1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*t**3 - 142 + 25*t**2 + 276 - 134 + 188*t**3 in the form j*t + l + z*t**3 + v*t**2 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 + 3*z**3 + 3*z**3 - 2*z**3 + 6*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7 + 1. Let c be (0*d\/(-6))\/(-1). Let u(k) = -k**2 + 33. Does 24 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + -7*(-15)\/140. Let g = -9 - -9. Suppose g = 2*z + z - 33. Solve 2*a + f = z, -a - f = -8 + r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2236792928 by -4.\nAnswer: 559198232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 422*j**3 - 2*j**2 + 173*j - 7. Let k(w) = -632*w**3 + 3*w**2 - 260*w + 10. Let r(n) = 7*k(n) + 10*x(n). Find the third derivative of r(p) wrt p.\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 327 + 597. Let d = x - -452. Calculate the remainder when d is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1773 in 1, 4, -1\/6, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 2*w + 12. What are the prime factors of x(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2121800*r**2 - 203*r - 916.\nAnswer: 4243600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 - 773*a - 99. What is the ten thousands digit of b(-219)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n**3 - 12*n**2 - 9*n + 23. List the prime factors of o(-8).\nAnswer: 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 337942100 to the nearest one hundred thousand.\nAnswer: 337900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2*x + 16 - 1)*(73*x**4 + 64*x**4 - 23*x**4).\nAnswer: -228*x**5 + 912*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.0815, -10, -0.4?\nAnswer: 0.0815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-9) + (-2)\/3. Suppose -84 = -4*j + r*j + 4*f, -84 = -2*j + 5*f. Let l = 10 + 4. Calculate the greatest common divisor of j and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 9. Let z(w) = 3*w + 10. What is -h(c) + z(c)?\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 3145?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 122 + 22. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 111. Sort 6\/11, o, 3, -5 in increasing order.\nAnswer: -5, 6\/11, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:28 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 12695 in descending order.\nAnswer: 12695, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 33. Suppose 12*w - 9*w = p. Suppose w = n + 12 - 54. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*n + n + 12, -3*p - 24 = -3*n. Let d = p + 8. Suppose 3*y = -0*r - r + 64, -d*y + 64 = -4*r. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216455 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: Is 91891879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 3*d**3 + 2*d**3)*(-2*d - 1 + 1) + (-2 + 2 + d**2)*(3*d**2 + d**2 - 5*d**2) + (-2*d + 7*d + 0*d)*(6*d**2 - 6*d**2 - 7*d**3).\nAnswer: -38*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b. Suppose b*k = 3*k. Solve -5*r - 11 = -4*f, f + r + k*r - 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/10 + 248\/10 is divided by ((-9)\/(-5))\/((-6)\/(-30)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460574703 to the power of 1\/3, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgbb when four letters picked without replacement from {m: 5, b: 2, g: 2}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 9 - 7, -4*j + 16 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/57))\/d**(7\/6) assuming d is positive.\nAnswer: d**(-5\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -t + 2*q + 5, -t + q = -7. Let m(o) = 3*o - t - 3 + 1 + 1. Is m(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18276.02 - -18276. Which is the closest to 0? (a) k (b) -2\/5 (c) 0 (d) -108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(-84))\/(1\/6) and -31\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:55 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*w + 736*w - 4922 = 0 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + 0.48793.\nAnswer: 0.49793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0087 and -1.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*i = 6, 2714131*i - 2714136*i + 24 = -4*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)\/((t**(-7)\/t)\/t)*(t**(-1\/4))**(4\/15) assuming t is positive.\nAnswer: t**(89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 64 + 1248?\nAnswer: 12b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**4 - 20*w**3 - 5*w**2 + 20*w = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (2 + (3 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/417 (b) -4 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 31*r**2 + 44*r - 384.\nAnswer: -(r - 32)*(r - 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + p - 14 = 11, 20 = 4*p. Suppose i - 2*i + 35 = 0. Calculate the greatest common factor of i and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**7\/15 + q**3\/6 + 9*q**2. Differentiate s(n) with respect to n.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2396\/3 greater than -799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 + 0.15. Let s = r + 0.18. Let l = 0.09006 - s. Round l to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:32 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 = 2*j - 7*j, -5*b = -2*j + 26. Suppose 2 = -2*q - 2*d, -4*q + 0*q - j*d = 1. Solve n + q*n + 4*f = 7, 3 = 3*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/8 - -8 - ((-7)\/4 + 1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566719906 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69353 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 19*d**7\/42 + 41*d**6\/90 - 17*d**5\/60 - d**4\/36 - 158*d. Suppose n(v) = 0. Calculate v.\nAnswer: -1, -1\/19, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28367297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6105*o - 1043927. Calculate m(171).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -6, -1133, -4, -1\/2, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2461328775 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-six fifths of a meter?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 137. Let q = k + -90. Suppose 4*b - q = -l, -b + 1 = -l - 5. Solve -j - 5*z = -b, 5*j - 15 = -4*z - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -3, -5, -0.3 in decreasing order.\nAnswer: -0.3, -3\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6557942*c**3*u**2 - 3412172*c**3*u wrt u.\nAnswer: 13115884*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-266)\/(-4) + 34\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 1, i: 1, o: 1}. What is prob of sequence oihu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1010202012?\nAnswer: 1010202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 34*p**3 + p + 1. Let i be x(-1). Let l = 4 + i. Let g be (4\/5)\/((-4)\/l). Which is smaller: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*b - 15 = -22, 0 = 4*a - 5*b + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(2\/11)\/l*l)\/l)**(-2\/83)\/(l**(1\/2))**(1\/55))\/((l\/(((l*(l**(1\/4)\/l)\/l)\/l*l)\/l))**(-26)\/(l**0)**(-17)) assuming l is positive.\nAnswer: l**(326226\/4565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 7*n**3 - 5*n**3 - 2*n - 3*n**3 + n**3 + n**3 + (-5*n**3 - n**3 + 4*n**3)*(-4 + 5 + 0) to the form x*n**2 + v*n**3 + t*n + f and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 7*d + 5. Let q(i) = -i**2 - 2*i - 2. Give 3*c(f) + 8*q(f).\nAnswer: -2*f**2 + 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3750 - 3752. Let l be -5*1 - (1 - 1). Sort 0, l, w, 11 in decreasing order.\nAnswer: 11, 0, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/4 + 4539*w**2\/2 - 6867507*w\/4.\nAnswer: -3*w*(w - 1513)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*m + 72, -4*m - 239 + 91 = -4*q. Let t = m + 39. Solve 4 = -u, 3*u - 3 = t*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15862?\nAnswer: 2, 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from hxxzfhhhhhhhhhx?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1094, 7967, 26528, 62645, 122186, 211019, 335012, 500033?\nAnswer: 711950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -r - 4*p - 5, r + 2*p = 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:42 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppspspppp.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.089 + -0.089. Let f = 846 - 892. Let y = f + q. Which is the second biggest value? (a) y (b) -1\/13 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 1)*(-3 + 2 - 1)*((-3 - 1 + 2)*(2*z - 3*z - z) + 2*z - 4*z + 3*z) to the form f*z + w and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4965, -1\/83, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632*h + 5802 - 114 = 0. Suppose 0 = p + 4*p - 20. Solve h = p*l - 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 + 10 - w**2 - 13 - 2*w**2 as l*w**2 + v*w + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*d + 0)*(-9 - 30*d + 36*d - 3*d).\nAnswer: -6*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*p + 7*p - 22, t - 5 = 0. Calculate the remainder when 52 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6521 divided by -1?\nAnswer: -6521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*r - 4*s, -s = r + 4*r - 12. Suppose -r = -2*x - 0. Solve -5*z - 4*t = -0*t - 37, -3*t = -2*z + x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798904 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 541*o - 4837. Let f(m) = -m**3 - 8*m**2 - 3*m - 7. Calculate the remainder when u(9) is divided by f(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 + g**2 - g - 1. Let q be v(-1). What is the third derivative of 20*a**2 - q*a**2 - 8*a**4 - 2*a**2 wrt a?\nAnswer: -192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 4*h**2 + 2*h - 7. Calculate c(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 13\/(-10))*25\/30?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*i + 16. Put -4, i, 2 in descending order.\nAnswer: 2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 678*l = 683*l + 9256, -l = 5. List the prime factors of v.\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/56)\/((-5)\/(-210)). Suppose 17*a + s = 16*a + 4*z, -14 = -2*a - 2*z. Solve 8*v - 42 = -a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339641 = 7*o + 16*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 81. Suppose 2*v + 35 - 3 = b, 2*v - 3*b + 24 = 0. Let j be y(v). What is the units digit of (3\/j)\/(1\/(-27)*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d\/d**(-3\/13)))*d)*d)\/d**34)\/(d\/d**(2\/43)*d*(d**(11\/2)\/d)\/d) assuming d is positive.\nAnswer: d**(-44367\/1118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 322647271379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41681 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 3*w - 5. Let n(p) = 26*p**3 - 2*p**2 - 2*p. Let t be n(-1). Let o = t + 29. What is z(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18420170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/70 - 108\/(-252)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.921475643834 take away -33?\nAnswer: 13.078524356166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30835)\/(-3) + (9\/(-4) - 455\/(-156)).\nAnswer: 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -40740744.\nAnswer: 162962976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14160 and 12955515?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1 + 2 - 12 + 6 - i**2 + 3. Determine n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(128) + -3.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-3) - 8\/12. Suppose -m*t = -7*t + 27. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10220 (base 3) to base 10\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j**3 + j**2 - 51*j - 1. Let u(q) = 31*q**3 + 2*q**2 - 154*q - 4. Let y(f) = -7*p(f) + 2*u(f). Find the second derivative of y(a) wrt a.\nAnswer: -48*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -853, -14, 4, 0, -7, -3, 2 in increasing order.\nAnswer: -853, -14, -7, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - (sqrt(33) + sqrt(1617)))*5 + sqrt(33))\/sqrt(3) - ((-5*(sqrt(1584) - (sqrt(1584) + 2)) - sqrt(1584))**2 - sqrt(1584)))*-3.\nAnswer: -654*sqrt(11) + 5052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22476745 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.94 times -748\nAnswer: -1451.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5 - 1537*w**4 + 664494*w**3 - 56829870*w**2 + 1393312401*w - 1337145489 = 0. What is w?\nAnswer: 1, 51, 717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.55 take away -0.22?\nAnswer: 836.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383 + -208. Let r be 1\/(2\/(50 + 0)). Calculate the greatest common divisor of v and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 3*u - 7. List the prime factors of m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 18 - 14 = 0. Let f be (-200)\/318 + y\/(-24). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.027745 and -3721.601.\nAnswer: -3721.573255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z. Let y(i) = -348 + 350 - 4452*i + 1238*i. Give y(r(h)).\nAnswer: -9642*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-44) - 603\/(-11). What is the common denominator of (20\/i)\/((-4)\/(-18)) and -85\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 15*j - 436. Let w(n) = 24*n - 869. Calculate -5*k(y) + 3*w(y).\nAnswer: -3*y - 427","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 9*g + 6. Let r(w) = w - 1. Let v(s) = -a(s) + 4*r(s). Give v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 0.077 (c) -52 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + q - 161, 3*q - 8*q + 112 = -4*b. Let n = b - -55. Suppose 12*t = 8*t + 344. Calculate the remainder when t is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -4. Suppose -3 = f - y. Let z(k) = -k**3 + 12*k**2 + 6*k - 2. Let h be z(f). What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23549 is divided by 10648?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3689)\/6510*(-69)\/391?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}