diff --git "a/data/dm_maths/full_data_2/2088_11255.jsonl" "b/data/dm_maths/full_data_2/2088_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2088_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 167365 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8490689 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229\/12 - -61\/3. Which is the nearest to 2\/21? (a) -2\/3 (b) o (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.363+1746782632\nAnswer: 1746782649.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - 2*i - 38, 3*i + 17 = -565*f + 566*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107584?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*y - 5 - 18*y - 77*y + 115*y**3.\nAnswer: 115*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 252900881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 + 36?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(2\/41)\/i)\/i*i))\/(i*i**(-3\/8)))**(2\/19) assuming i is positive.\nAnswer: i**(435\/3116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7606*r**3*t**3 + 7623*r**3*t**2 - 2*r*t**4 wrt t.\nAnswer: -45636*r**3 - 48*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c*d**3 + 49*c*d**2 - 2*c*d - 6428*c + 26*d**3 - 40*d**2 - 80*d - 2 wrt d.\nAnswer: 30*c*d + 98*c + 156*d - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - (-3 - (-10 - -2)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -3)*(-4)\/(-8). Let b = -13 - -9. Let a = -4 - b. What is the closest to a in -0.1, i, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -45*y**3 + 4*y**2 + 2*y - 2. Let i be d(-2). Let f = i - 246. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w*(w\/((w*w**(-1)*w)\/w))\/w)\/w)\/w)**(-8\/3))**(-13))**(-39) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.18 - -40. Let c = -5.89 - -0.89. What is the smallest value in -1\/4, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -403 or -295?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 4*s - 5. Let c be u(-5). Suppose c = 3*x - 8*x + 15. Which is greater: x or 7\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + 6. Let i be 2*-3*g\/20. Let n = 99 - 94. Which is the nearest to -0.1? (a) n (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/34369477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*s**2*u**2 + 14*s**2*u - 246*s**2 - 42*s*u**4 wrt u.\nAnswer: 18*s**2 - 504*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1122 - 774. Calculate the remainder when t is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.45 + -0.05. Let l = -4933 + 64177\/13. Let w = 388\/91 - l. Which is the biggest value? (a) w (b) p (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 1\/3*b**3 - 1\/36*b**6 + 0 + 0*b**5 + 0*b + 1\/24*b**4 - b**2. Let u(p) be the first derivative of i(p). Give u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*d + 60*d - 73799*d**2 + 73800*d**2 + 66*d - 330 = 0. Calculate d.\nAnswer: -110, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -24*v**2 + 0 + 10*v**2 + 3*v + 15*v**2 + 4. Let c be f(-2). Solve -16 = -c*i + 4*g, -3*g = 3*i + 2*g + 31 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2697 - 1692. Is (t\/6)\/(2\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 8 = a, 0 = -4377*a + 4380*a + 2*z - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.5 + 8.7. Suppose -3*w + 3*x - 21 = 0, 3*w - x + 7 = -5*x. Which is the fourth smallest value? (a) w (b) -2 (c) i (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 792.6656mm?\nAnswer: 792665600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32808985784*r + 16404492889*r + 16404492898*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 18769?\nAnswer: -18769.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*u = 671 + 966, 3*v = -2*u + 1245. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22023130010 (base 4) in base 10?\nAnswer: -2668292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = -4*a + 1, -3*q + 5*a + 18 = 0. What is the common denominator of (-19)\/16 + (q - 2) and ((-438)\/(-120) - 0) + -7?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 815685?\nAnswer: 6525480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 60 + 12 = 0. Let x be r\/((1 + -3)\/2). What is the highest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-147)\/56))\/(10\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507115*w + 507123*w - 1014220*w + 4 - 1 - 3.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/735 + 593*7\/(-245) + 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1380 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 80*x - 134. Solve -x = 4*u - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2. Let p(b) = -b - 3. Let u be (3\/(-9))\/(1\/(-6)). Let m(r) = u*p(r) + 3*c(r). Let q(w) = w**2. What is q(m(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -5*(-3 + 2*3*sqrt(147)))**2*5*-6.\nAnswer: -3979830 + 239400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -5\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -18*h + 39312. Suppose 0 = -27*p + p + h. What is the least common multiple of 28 and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 + 217. Solve 138*v - 3*v**2 - 117*v + 0*v**2 - l = 0 for v.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Suppose -4*d = d + 10. Suppose -2*w + 7*w - 48 = 2*n, 3*n - 4 = -2*w. Let v be w\/(-20) + d\/(-5). What is p(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n**2 + 4*n + 3. What is the units digit of m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400066 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97477926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (43 + 2 - (23 + -31 + 7 + 6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 40 = -5*t, 28*b - 64*b = -30*b + 2*t - 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 9*d + 39. Let o(a) = a**2 - a - 29. Calculate -m(c) + 4*o(c).\nAnswer: 3*c**2 + 5*c - 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a microsecond in nanoseconds?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g**3\/3 + 100. Let l(q) = -2*q - q + 6*q. Give l(d(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*p + 840*p + 672 = -872 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -28654*a**2 + 127 + 254*a + 28656*a**2 - 132 - a**3 - 3*a**3 + 2 - 2 + (1 - 1 + 1)*(-4*a**3 + 2*a**3 + 3*a**3) as l*a + w + f*a**3 + d*a**2 and give l.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c - c**2 - 3 - 12*c)*((-c + 0 + 0)*(-c - 2 + 2) + 3*c**2 - c**2 - 4*c**2 + c**2 - c**2 - 2*c**2).\nAnswer: 3*c**4 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5)*((-2988)\/6391 - (-4)\/22). What is the nearest to l in 3, -3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17538369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006411 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2325)\/558)\/(90\/108).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 19*j = 11, -5*q = 11*j + 101 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g**2 + 0*g**2 - g**2)*(-3 + 0 + 1) - 3*g**2 + 4*g**2 + 0*g**2 + 6*g**2 - 3*g**2 - g**2)*(-3*g**3 + 5*g**3 + 0*g**3).\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6773 + 12141. Suppose -4*d + 3*x = -o, 20 = -x - 4*x. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 2645865.\nAnswer: 240773715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 571, 568, 571, 580, 595, 616?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(104\/(-220184)) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-207 - 122 - -329) + 1 + 1 + -1 + 43\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11) + (sqrt(11) - (2 + sqrt(704))))*3 - (1*sqrt(88)*6)\/(-1*sqrt(968)).\nAnswer: -192*sqrt(11)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1206\/1547323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71744.139ns in hours?\nAnswer: 0.0000000199289275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-23)\/((-46)\/(-4)))\/(-5 - (-129)\/27). Solve 3*k - 2*h + v = 20, -k = -4*h - 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0 + 0*h + 0.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/20)\/(16\/(-40)). What is the second smallest value in 1\/10, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5127 and 324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/36 + (-3)\/(-12). Suppose 4*n = t*n + 3086. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*c + 27*c - 359476 = 0. Which is smaller: c or -2898?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25072 (base 14) in base 3?\nAnswer: -11121100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 + 66 = -189*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/12 + 5*n**3\/2 - 17*n**2\/2 - 8*n. Let q(j) = j**2 - 14*j + 16. Let r(o) = 2*l(o) + 3*q(o). Calculate r(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*w + 29 = 0, 22 = 2*o + 2*w - 3*w. Let r = 12 - o. Suppose -37200 = -r*y + 7*y. What is y rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 - 16*l**2 - 43 + (3 - 6 + 5 + 2*l)*(0 + 0 + l) + 26*l**2 - 19*l**2 + 13*l**2 in the form q*l + x*l**2 + v and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-m**2 - 2*m**2 + m**2) + 2*m**2 + 4*m - 4*m + (4 - 2*m - 4)*(4*m + 0*m - 3*m) - 2*m + 2*m + m**2 + 2*m**2 - 4*m**2 + 4*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 49\/(1 - -2 - (-16 - -18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*w + 3 = 14, 2*w + 44 = -4*j. Let p be -27*(2 + j\/3). Suppose 5*a + 4*k - p = 5*k, 2*k = 0. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63253, 253488, 570545, 1014424, 1585125?\nAnswer: 2282648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 6495*l**2\/2 + 5271504*l - 5274752.\nAnswer: (l - 1)*(l + 3248)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129? (a) -1 (b) -4\/9 (c) 0.1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*p*v - 1834*d**2*v + 5719104*d*p*v**3 - 3540*v**3 with respect to p.\nAnswer: 3*d**2*v + 5719104*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000190285 rounded to six decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-39) - (-1810900)\/(-201786)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Suppose -4*t = -3*w + 16, 15 = -3*w + 6*w - 3*t. Let l(q) = -9*q**2 - 4*q - 5. Let k(j) = w*s(j) + l(j). What is the derivative of k(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5, 4, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93.409 + -0.809. Let d = j + -4.6. Let o = 87.85 - d. What is o rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5405)\/(-188)*-4*1)\/(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2\/(-48)*(-4)\/(-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 303749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 4*l - 2*l + (2*l + 2 - 2)*(-1 + 2 - 2) - 6*l - 3*l - l + l + 3*l - 2*l + (3 - 1 - 1)*(-l - 4*l + 6*l) + 4*l + 4*l - 6*l + 2*l + 0 + 0 - 4 - l + 4.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 27 = 72 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 13*b**2 + 11*b**2. Let t(u) = u**2. What is y(t(z))?\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by -12?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 less than 50709\/3728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*u + 3*u - 1764 = 0, -3*a - 2*u + 1061 = 0. Suppose 6*q + a = 7*q. Let x = q + -184. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -91. Suppose -28 + 22 = -6*m. Sort t, m, -1, -3 in increasing order.\nAnswer: -3, -1, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(22\/9)\/z)\/z)\/z)**(1\/30)*z**(-18\/7)\/(z**(2\/11)\/z))**(-5) assuming z is positive.\nAnswer: z**(18071\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112928 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: Solve -2883*p + 1700*p = -20111 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (416\/12)\/(284\/213)*(-10)\/(-65)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24675464 or -24675431?\nAnswer: -24675464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/2)*y*y**(-1\/7) assuming y is positive.\nAnswer: y**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 + 12*k + 3. List the prime factors of a(-9).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242292951 divided by -80764317\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50 + 0*(-1)\/(-3). What is the least common multiple of ((-28)\/(-6))\/(4\/(60\/5)) and 5\/((-15)\/(-6)) + p?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/12 - 7*i**3\/6 - 12*i**2 + 17*i. Let r be o(10). What is the units digit of ((-18)\/4)\/(r\/(-88))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(5*(-6)\/12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1761792182 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 83. Suppose 0 = -0*l - 5*l + x. Is 62\/3*l\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.1. Let j = -21.3 - -21. Which is the nearest to 0? (a) 4 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012829988 to seven dps.\nAnswer: -0.0001283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 1. Let u(p) = p**2 + 5*p - 1. Let r(o) = 5*i(o) - 2*u(o). Let l(q) = q**3 - 66*q**2 - 1512*q + 4. Let k be l(84). What is r(k)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2362679 + 1217679. Round d to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*d**2*l**3 + 12*d**2*q**2 - 2*d*l**2*q - 2*d*q**2 + 14*l**3*q**2 - 2*l*q**2 wrt d?\nAnswer: 38*l**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 7:48 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 4*q + 4*r, 2*q = -r + 4. Let z = 6 - q. Suppose -4*l + 16 = 2*s, -z*s - 2 = -5*l + 3*l. Solve 0 = t - 5*d + 10, -s*t - 4*d - 6 = -0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -13*i**7\/840 + i**5\/24 + 2*i**4 - 44*i**2. Let u(h) be the second derivative of w(h). Differentiate u(n) with respect to n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 22*y + 4 = 24*y, 0 = y - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 82 + (-1 + 0)*2. Let t(q) = q**2 + 6*q - 6. Let b be t(-8). Calculate the highest common factor of b and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 154\/24 + (-14605)\/2540. Let a = -44 + 222\/5. What is the nearest to 0.1 in 4\/5, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 102051.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 18 = 4. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2031750 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2439285.39 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1*1)\/((210\/(-665))\/6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 164932, 165248, 165564, 165880?\n\"Answer: 316*l + 164616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a41863 - 25?\nAnswer: 2a41839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 3*d. Let h be a(5). Let j = 11 - h. Calculate the remainder when 6 is divided by 18 + -16 + (2 - j).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y + 16 - 4*y - 4)*(3 + 5 + 4) + (-4 - 4 + 5)*(0 - 6 + 2*y - 1) to the form v*y + h and give h.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 47. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 33 = 6*s. Calculate the remainder when 33 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guoa when four letters picked without replacement from {a: 2, u: 2, x: 1, g: 1, o: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3956 and 0.1593?\nAnswer: 3956.1593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 - (11 - 5) - -51)) + 10.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*x - 2*x**2 + 3*x + x**2 - 5*x as o + n*x + t*x**2 and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*i + 171 = 0, -y = -3*y + 5*i + 87. What is the greatest common factor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00215 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.843915 micrograms?\nAnswer: 0.000000000843915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 2*p, 3*d - 7*p - 1 = -9*p. Let k be -52*8\/288 - (-5)\/d. What is the third smallest value in k, -2, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let k(x) = -3*x - 4. Let l(j) = -2*j - 3. Let h(g) = 3*k(g) - 4*l(g). Determine h(r(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -62. Suppose -2*u - 2*k + 10 = 0, k + 3 = -i*u + 10. Solve 0*o - u = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18*h + 136. What is the hundreds digit of i(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/(-8) - 8\/32 - -75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504014907?\nAnswer: 3, 11, 643, 23753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 - 664*o**3 - 66364*o**2 + 67024*o = 0.\nAnswer: -71, 0, 1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/76 + (1666\/(-68))\/(-49)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9746228 to the nearest integer?\nAnswer: 3122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/((d\/((d\/(d*d**(-3)))\/d))\/d))\/(d\/(d\/(d\/(d\/(d\/(d*d**(-3\/11)*d)*d))))*d**(-1\/3)))**(-1) assuming d is positive.\nAnswer: d**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575 = 16*q - 131*q. Let f(x) = -9*x**2 - 1. Let m(v) = v**2. Calculate q*m(a) - f(a).\nAnswer: 14*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01610681656 to 4 decimal places.\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101210 (base 3) to base 14.\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 3, m: 1, a: 4}. Give prob of sequence meb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20051.96 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 e when four letters picked without replacement from {e: 7, l: 5}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8876348.21099189 - -8876347. Let w = 1.211 + n. What is w rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.76 - -1.73. Let u = a + 0.03. Let h = -3 - u. What is the closest to h in -1, 1\/6, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -16. Let b(l) be the third derivative of -1\/735*l**7 + 0*l**3 + 0*l + 0 + 1\/210*l**q + 0*l**6 - l**2 + 0*l**4. Factor b(z).\nAnswer: -2*z**2*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -2 + sqrt(832))*5)**2.\nAnswer: -1600*sqrt(13) + 83300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.43. Let v = h - 2.03. Let z = -0.27 + 0.37. Which is the smallest value? (a) z (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 4*k + 3. Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4 + 2. Suppose 3*c = 4*c - d*q + 8, 4 = -c - q. Let s(v) = -21*v + 60. Let r(g) = -6*g + 17. Let j(n) = c*s(n) + 18*r(n). Determine j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, v: 5, a: 5, q: 2, o: 6}. Give prob of picking 2 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-28)\/j*j\/(((j*j*(j\/j**(24\/11))\/j)\/j*j)\/j) assuming j is positive.\nAnswer: j**(-284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-20))\/((-7)\/(-175))*(-1)\/5. Solve o*d + 4*k = 22, 0 = 3*d + d + 4*k - 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/11, 4\/11, -9, 1\/6, -2, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37780*h = 37676*h - 3016 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/30 - 5*i**4\/6 - 7*i**3\/2 - i**2 + 1164*i. Calculate s(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuuquzhu. What is prob of picking 1 q and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5823.3 + -5823. Let l be 1\/(15\/32) + -2. Which is the nearest to -2\/7? (a) 5 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407\/21 - 138745\/7161. Let a = h + 291\/8525. Suppose -3*b - 16 = 4*z, 2*z - 4*b = -2*z + 12. Are a and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18125 divided by 29?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -99*c - 4386. Give p(-46).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7930126 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: Are -25 and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.02319 litres?\nAnswer: 6023.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164973 and 1284711.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 18 = -3*y, 2*y + r + 3 = -2*r. Let l = -109 - -157. Suppose -3*k = -2*b + k + 24, 4*b = -4*k + l. What is the highest common factor of b and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1837 and -1838 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2*d\/d**(-5) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609948.\nAnswer: 2, 402487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.170138 + -1.17. Round s to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 1996*m\/3 + 9191007.\nAnswer: -(m - 6343)*(m + 4347)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 6:12 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 188593 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3732706 and 1247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -326759 divided by 1?\nAnswer: -326759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 15 = -2*s. Suppose -o - 2*x + 6 = 0, 0 = -s*o + 3*x + x + 20. What is the least common multiple of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4707 = 41*x - 44*x. Suppose -8*d = -x - 2111. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 - -164. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-9)\/f)\/(f**6\/f*f))\/(f*f**(-3))**(-14\/11) assuming f is positive.\nAnswer: f**(-204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -541, -4396, -14863, -35248, -68857, -118996, -188971, -282088?\n\"Answer: -551*c**3 + 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c + 4*c - 2*c + 0*c as h + p*c and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/40 - 9014\/(-40)*2)\/(-1). Which is smaller: w or -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:39 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011706 is divided by 337231?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g + 2. Let l be s(-5). Let b = -31 - l. Solve 2*t - 4 = 3*v, -b*t - v = 2*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11437757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202663 (base 7) in base 14?\nAnswer: -3d6da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 59*q**2 + 23*q**2 + 2*q**2 to the form d*q + z + x*q**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 (base 10) in base 7?\nAnswer: 5243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65265067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136, -47, 484, 1679, 3760, 6949, 11468?\n\"Answer: 37*v**3 - v**2 - 167*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4)\/(-2) + (-8238972)\/(-196166)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x + 11*x. Suppose 7*o - 1 = i + 8*o, -i + o + 7 = x. Suppose 3*d - 3*r - 24 = 0, -2*d + 28 = -0*d - 5*r. Put 5, i, d in decreasing order.\nAnswer: 5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5250 and -89\/4200.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 - b - 570000. Suppose 0 = -2*k - q - 2, -2*k = -7*k + 3*q + 6. Let m be o(k). What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 1665*r**4\/2 - 5500*r**3\/3 + 3*r + 81. Find the second derivative of n(y) wrt y.\nAnswer: 19980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - a473?\nAnswer: -a469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 165352 divided by -646\nAnswer: -82676\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdppdpdppp. What is prob of sequence ppd?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 704929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 776?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -426505218 and -10.\nAnswer: -426505228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*u + 17*u**2 - 23*u + (0*u + 0*u + 2*u)*(11*u + 50 - 50) + 0*u**2 + 3*u**2 - u**2.\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**6\/360 + 13*t**3 - 2. Let p(l) be the third derivative of d(l). Let i(f) = -1 + 3*f + 1. What is i(p(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 1\/45*y**5 + 7\/180*y**6 - 12*y**2 + 0*y - 1\/45*y**7 + 0*y**4 + 0*y**3 - 1\/42*y**8 + 0. Solve t(s) = 0.\nAnswer: -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -31 + 229. What is the greatest common factor of 66 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284440 divided by -1?\nAnswer: -284440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let i be q(0). Solve 8 = -i*z - 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*p - 0*p - 60, -3*x + 3*p = 18. Let f = x + 12. Solve l = 2*b - b, 0 = 2*l - f*b + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1457, -3009, -5581, -9173?\nAnswer: -13785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 111, 16, -1\/661?\nAnswer: -1\/661","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllmmlm. What is prob of sequence lfm?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 33. Let g be j(14). Let l be ((1 - -4) + g)\/(-2 + 0). What is the lowest common multiple of 8 and (-3 + l)\/((-15)\/30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away -14.9?\nAnswer: 14.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17\/(-5))\/(1428\/(-285) + -7 - -12). Which is smaller: 270 or h?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9085494cm to meters.\nAnswer: 0.009085494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(30\/(80\/(-8))). Let v(a) = 4*a**2 + 5*a + 4. Determine v(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/56 + 2\/8. Let w = -2094 - -6280\/3. Which is the second biggest value? (a) t (b) 2\/13 (c) 0 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -819, -2515, -5823, -11283?\nAnswer: -19435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4115, -5, 2?\nAnswer: 4115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -1*sqrt(1088))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195532?\nAnswer: 2, 48883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.3, 2, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 14. Let a be s(7). Suppose -7*n + 372 = 442. Is a bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5352\/(-16056) - (-442)\/(-6)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/18 - -1)\/((-2)\/(-6)). Suppose -5*p = 3*y - 5*y + 52, 0 = -3*y - 4*p + 32. Calculate the highest common factor of y and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i**2 + 20*i + 21 + 2*i + i**2 - 4*i - 5*i. Calculate m(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-35)*343\/(-98).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 - 13*q**3\/6 - 7*q**2 - 2*q. Suppose -3*z + 10 = -4*z. List the prime factors of k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*z - 26 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -4. Let g be (-3113)\/v + (-22)\/(-77). Suppose 3*l + 2*l = g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from tvv?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 15, -110*v = -114*v - 2*z + 414. Suppose 4*r - 122 = -5*g, 4*g - 94 = -2*r + 6. What is the remainder when v is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/8 + 8349711*a**2 + 133595385*a\/8 + 33398847\/4.\nAnswer: -3*(a - 22265898)*(a + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 4922.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/51 - 28\/(-238).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) 5 (c) 1\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-1375)*-5*1)\/((-23810)\/26191).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.94 + -1.34. Let r = -105 - -89. Which is the third smallest value? (a) -0.5 (b) j (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-150)\/(-15))\/(10\/4). Let p be ((-120)\/32 + t)\/(-1). Let j = -0.3 + 0.26. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221204 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 + 285674*a - 142833*a - 142838*a in the form c*a + m and give m.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + y - 11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-2\/11) assuming h is positive.\nAnswer: h**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - (2 + -7)) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 173*c + 2. Let t(u) = 12*u**2 - 1041*u - 14. Give -13*j(p) - 2*t(p).\nAnswer: 2*p**2 - 167*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8879656 to the nearest integer?\nAnswer: 2980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - -38 - (8 - (3 + -11)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. Let u = 210 + -197. Let t(p) = 17*p - 4 - m*p - u*p. Calculate t(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 13) to base 6.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18 = 2*q, 7*q - 4*q - r = 17. Let c(w) = -w**2 + 5*w + 6. Give c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118414384651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2454*m - 823?\nAnswer: 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/2, -5\/8, -79, -709, 1\/10, -0.03?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68426 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(3 + -4) + 5. Is d less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1. Let k = w + 0.9. Suppose -5*o = p + 7, -17 = o - 6*p + p. Which is the nearest to 0.2? (a) o (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2674986*a + 465179.\nAnswer: -2674986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*t**5\/2 + 349*t**4 + 3103*t**3 - 104*t**2 - 6181*t\/2 - 245 = 0. Calculate t.\nAnswer: -7, -1, -2\/25, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8831\/7 + 9\/(-42)*-2. Is (-1)\/(-2*1\/p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 420792787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 + 0 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 1\/9 (c) 0.4 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 y when four letters picked without replacement from mxmmxxxmxmmmmymxyx.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -37 + 37 - (0 + -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -38. Let x = w + -7.99955. What is x rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/27*27\/(-10)*(4 - 34\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 179*y**2 + 2318*y + 338. Give f(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.780719 nanoseconds in milliseconds?\nAnswer: 0.000008780719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38061387575 + 80893052425 = -396*x. What is x rounded to the nearest one million?\nAnswer: -300000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5.08. Let l = j + -0.05. Let k = l + -3.83. Round k to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 28260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 - 16*g**4 - 4723*g**3 - 1839695*g**2 wrt g?\nAnswer: -60*g**2 - 384*g - 28338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 + 2 + (-120)\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 403 + -11014?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6232, -49650, -167454, -396838, -774996, -1339122, -2126410, -3174054?\nAnswer: -4519248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.433397561255+8\nAnswer: 0.566602438745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -501*o + 68639. Give i(137).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680002512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3769160464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:32 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119481290 is divided by 17068754.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2023424135 - 1?\nAnswer: 2023424134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -5.4. Let w = i - -4.9. Suppose 0*y + y - 13 = 5*q, -5*y = 2*q - 11. Which is the closest to q? (a) w (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 12. Suppose -5*q + 4*l = -35, 3*l - 18 - 19 = -2*q. Suppose y + 2*y = 3*j + 12, -5*y = 4*j - q. Put j, 4, f in ascending order.\nAnswer: f, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1630646*i**4 + 9*i**3 - 73038*i**2 + 24*i - 2 wrt i?\nAnswer: 39135504*i + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 85. Let j(h) = 2*h**2. Give j(v(y)).\nAnswer: 32*y**4 + 1360*y**2 + 14450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -89437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*m**4 - 87*m**2 - 67*m**2 - 148*m + 148*m wrt m.\nAnswer: -528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -5, -1, 1, 1247, 55 in ascending order.\nAnswer: -5, -4, -1, 1, 6, 55, 1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -662.52 - -662. What is the closest to 0 in 1, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 37*f - 31. Solve -16 = -3*s - f*t, 5*s + 3*t - 21 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7856 divided by 272.\nAnswer: -491\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3350 is divided by 582.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 9*r**2\/4 + 5*r - 3.\nAnswer: (r - 6)*(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + -0.2. Let v = -1.8 + q. What is the nearest to 1\/3 in v, -3, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54e (base 16) in base 5?\nAnswer: 20413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 2*a + 1. Let g be i(1). Let b be -4 + (g - -8) - (-2 + -2). Let n(o) = 5*o + 3. Give n(b).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -2\/3, 46.2, -108?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*w + 1232*w - 23856 = 0 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2971, -2953, -2927, -2887, -2827, -2741, -2623?\nAnswer: -2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 + -11?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6622 + 5?\nAnswer: -661a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-24) + -1)*(1 - 4). Suppose 0 = -4*q + f + f + 456, q - u*f = 132. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -4 - (9 - 15). Solve -4*t - x = -6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.275 centuries to decades.\nAnswer: 5912.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.07835.\nAnswer: 0.3134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 209194106 a multiple of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -20*l**3 + 23895*l**2 - 3427545*l - 858380 = 0.\nAnswer: -1\/4, 167, 1028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3798 is divided by 3483.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 - 0\/44. Suppose 154 = x*m + 2*w, -154 = 5*m - 7*m - 3*w. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u - 4. What is the closest to -2 in 2, u, 5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 12 - 6) + -3 + 1 + -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 25 = -3*k + 3*t, 5*t + 29 = 2*k. Let q(c) = 2*c**3 - 2*c**2 + c + 1. Determine q(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 112. Suppose -436 = -3*x - v. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 5141056.\nAnswer: 5141056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -590 and -589 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369947 is divided by 71.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 397779 - -18?\nAnswer: 397797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3687 - 1681 = 936*y + 7736 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220148.\nAnswer: 2, 47, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 666324543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(275)*5 - (sqrt(275) + sqrt(275) + 2*sqrt(275) + 5 + sqrt(275)))**2.\nAnswer: 500*sqrt(11) + 27521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 576543.\nAnswer: -1\/17471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/2 - 39616*y**2 - 475478*y + 1109416 = 0.\nAnswer: -14, 2, 79244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0.538, -1526, -2\/9, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 119*h - 115. Let x be f(1). Solve -5*j = -25, -x*k + 2*j = -j + 31 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4270234 (base 8) in base 3?\nAnswer: -2011001211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -110.\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/5 + 34608*y + 3115692\/5.\nAnswer: -3*(y - 57698)*(y + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and -2*(-2 - -636)*(222\/24 + -11).\nAnswer: 17752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + 47. Let g = v - 91. Which is the closest to -2\/7? (a) 3\/8 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12136 and 34440?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 + 0.05. Let r = u - 0.1. Let q = 0.24 + 0.06. What is the second smallest value in -4, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8889*j**2. Let k(u) = 4383*u. Give k(z(g)).\nAnswer: -38960487*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2259 + 11307\/5. Factor 2\/5*q - 8\/5*q**4 + 0 - 8\/5*q**2 + t*q**3 + 2\/5*q**5.\nAnswer: 2*q*(q - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -83*v**2 + 1980*v + 53. What is q(24)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 542*y - 541*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 - -162. Let c = -2.7 + 3. Put 6, c, r in decreasing order.\nAnswer: 6, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33117 divided by 57.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3190*k**2 - 60*k + 2 wrt k.\nAnswer: 6380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2471073470 and 178.\nAnswer: 2471073648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 5*g**2 + 2*g - 13. Let p be x(3). Let q = p - 81. Suppose q = -2*b + 15. Solve -16 = b*a + 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 + 1166*l - 4680. What is f(4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -11*v - 361. Let b be -3 + 21*(v + 6 + -4). Solve -c - 25 = -5*t - 3*c, 3*c - b = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000010111 (base 2) to base 10\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149343 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11001 (base 2) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.5, -1\/4, 0, -135.12 in descending order.\nAnswer: 2\/5, 0, -1\/4, -0.5, -135.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -2734907977476?\nAnswer: 2734907977476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 + -1 + 3)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15299696 <= -15299694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 110*w**2 + 11*w + 20. Calculate the remainder when c(-2) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -453, 0 in decreasing order.\nAnswer: 0, -3, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 269835047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 2.2. Let g = t - 3. Let x = 7.54 - 9.54. Which is the nearest to x? (a) 0.5 (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t + 8. Let i be ((-10)\/t)\/5*-98. Suppose 4*l = 3 + i. What is the greatest common factor of 143 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 26*o - 12. Is m(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25632041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 7*r**5\/10 + 23*r**3\/6 + 36*r**2. Differentiate i(n) with respect to n.\nAnswer: 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7369 - 473 - 1304 + (-4 + 2 + 4)*(-1 + 4 - 5))*(2*m - 6*m + 2*m) as c*m + f and give c.\nAnswer: 18300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 greater than or equal to 40.8375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3407322*l**4 - 4*l**2 + 5847120*l wrt l?\nAnswer: -81775728*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**2 + 1. Let o(n) be the first derivative of n**3\/3 + 6. Determine h(o(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 - (3 + 1 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 7 (b) -0.2 (c) -0.3 (d) 0.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8327 + 933*m**2 - 8327 + 1170*m**2 - 656*m**2.\nAnswer: 1447*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v**4 - 3*v**4 + 0*v**4)*(-2*v + 3*v - 3*v).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170)*-3 - sqrt(170)))\/(sqrt(810) - sqrt(810)*-2).\nAnswer: 16*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 28*f**3 + 8*f**2 - 105*f + 911. What is the thousands digit of r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o + 16. Suppose 2*t - o + 2 = 0. Suppose -2*b + 2*w + 338 = 0, -4*w + t = -3*w. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 0*j**2 - 2*j**2 + (-2*j**2 - j**2 + 13*j**2)*(-2 + 2 - 1).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12135438 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 589\/152 + (-2)\/(-16). Solve 0 = -a*z - z - 10, 2*h + z - 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 167.6 and 49235 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -4.499339?\nAnswer: 4.899339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1412 - 1646 - 1296 = 2177*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -191*0.038\nAnswer: -7.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 5:59 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 419032 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 120. Solve -j*y = 3*q - 18, -3*q - y = -0*y - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) -27 (c) 10 (d) 1\/9 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1a5?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8. Suppose -2*s - 3*s + 60 = m. Calculate the lowest common multiple of s and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/(d*d\/((d\/(d\/(d**(13\/5)*d)))\/d*d)))\/d)\/(d\/(d*d**(7\/5))) assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 14*g**2 - 31*g - 10. Let f be (45\/36)\/((-1)\/44). Let x(t) = -10*t**3 + 125*t**2 + 280*t + 90. Let a(d) = f*j(d) - 6*x(d). Factor a(r).\nAnswer: 5*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 6d5a33?\nAnswer: -6d5a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336426809*j**3 - 122461*j**2 + 1665*j - 1 wrt j.\nAnswer: -2018560854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:26 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.8 - 3.2. Let k = m + 19. Let l be ((-8)\/30)\/((-6)\/(-15)). Sort l, -0.3, k.\nAnswer: l, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**2 + 4119*b - 17327. Give m(-321).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2278*o**3\/3 + 1957*o + 1388. What is the derivative of p(u) wrt u?\nAnswer: 4556*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*k - 23*k + 16 = -14*k, -k = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68.095, -3\/2, 4 in decreasing order.\nAnswer: 68.095, 4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1ac (base 16) to base 5\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -284*7\/(-28) - 6. Let j be (1 + (-33)\/(-6))*2. Calculate the highest common divisor of u and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 1, y: 7, u: 1, j: 3}. Give prob of picking 1 r and 3 j.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 10528 = -4*s, 6*s = 5*o + s + 13170. Let p = o + 7504. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(5\/2)*d*d)\/d*d)\/d**(-12\/7))\/((d*(d**(-9\/8)*d)\/d*d)\/d*d*d**6*d) assuming d is positive.\nAnswer: d**(-37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*k - 4*r = 189*k - 65, -5*r + 265 = 5*k. What is the remainder when 233 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let x(l) = l**3 + 2*l - 1. Is x(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23 and 39\/421619.\nAnswer: 421619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -5*k**4\/24 - k**2. Let g(y) be the third derivative of y**4\/4 - y**3\/6 - 8*y**2 - 12. Give 3*g(i) + 4*z(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 9*u**2 + 3*u - 2. Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 29 = 5*t. Let v(k) = t*k + 5 - 11 + 11 + 8. What are the prime factors of v(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 1\/5, -4, -0.4, 4\/7, 78?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88939*y - 88935*y + 623*y**2 - 626*y**2.\nAnswer: -3*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/10, -1.2, 4, 1.534, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/155 and 3\/124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073507?\nAnswer: 3, 17, 109, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3915 + -3915. Which is the fifth smallest value? (a) 18 (b) j (c) -3 (d) 0.1 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + (10 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4, 2\/5, 28, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (-6 + 6 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10029\/80 + 609\/5. Calculate the common denominator of z and 41\/222.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-19)*q\/(q**(1\/33)\/q)*(q*q*(q*q**(-6\/7)\/q)\/q)**(-8\/13) assuming q is positive.\nAnswer: q**(-48403\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -8. Let w = 2 - -1. Let a = w + -3.2. Is t equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 - 3*t. Suppose 0*b + 12 = 3*b. Suppose -5*g + 2*g + 3*n = 3, -2*g + n + 3 = 0. What is the lowest common multiple of g and f(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 8 = 2*s + 2*s, 4*s + 16 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(3 + 3*sqrt(500) + -1*(3*sqrt(500) - sqrt(500) - sqrt(500) - sqrt(500))) + 2)**2 + 1.\nAnswer: 27360*sqrt(5) + 649445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*j**3 - 1364*j**2 + 1364*j**2 + (j + 3*j - 2*j)*(43*j**2 + 408*j - 408*j).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 197, 664, 1579, 3092, 5353, 8512?\n\"Answer: 25*l**3 - l**2 - 3*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 12*a**2 - 21*a + 13*a**2 - 5*a.\nAnswer: 2*a*(a - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6183627 divided by 6183627?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1770)\/2655*(3 - 0). Let d be (-1)\/(-3)*-1 - 0. What is the second biggest value in d, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728\/10*(-650680)\/(-878418)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.931854464 - 34.932. What is c rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 613.028?\nAnswer: 612.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -178906.14 rounded to the nearest 100?\nAnswer: -178900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 390 - 353 + 2*a as u*a + l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 2*g**2 - g - 6. Suppose 183*n = 187*n + 24. Let p(w) = 2*w**3 - 4*w**2 - 2*w - 11. What is n*p(k) + 11*c(k)?\nAnswer: -k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47770 greater than 47780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (75\/(-6))\/5*-8. Suppose p = x + x. Let a be -3*(-2)\/(-3)*-1. Solve a*q - x = -0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/15*(-4 - 1) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-735)\/(-42) + 2\/(-4). Suppose 4*y + q = 23, -2*q + q - f = -4*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435 and 70.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 3*g + 110 - 23.\nAnswer: 2*g + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 38 = -2*w - 37. Solve -3*m - t = -w, 2*m - 2*t - 2*t = -12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 2*l. Suppose 29 - 74 = -3*w. Calculate the remainder when ((-36)\/w - -2) + 921\/15 is divided by c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46957064 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**2*r)\/r)**(-37\/3)*r\/((r\/(r*r**(-10\/3)\/r))\/r*r)*r**(-1) assuming r is positive.\nAnswer: r**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3482 (base 15) in base 9?\nAnswer: -16255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/q**(2\/17))\/q*q**(2\/5))\/(q\/(q\/q**(-18))*q**(-1\/8)))**(2\/7) assuming q is positive.\nAnswer: q**(13877\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*y + 196*y - 41*y = -27318 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y + 59 - 87. Is 5 a factor of y - (-1 + 0 + -19 + -324)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 51 - 45. Suppose -3*l - f - f = -g, 0 = -5*l - 5*f + 20. Solve 5*d - d = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 4*y**2 - 7*y - 98. Let x be d(7). Solve -q = -p + 4*q - 17, x = 5*p + 2*q + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 2*m - 2. Let z be (-1)\/(-3) + 14\/(-6). Let h be f(z). Let j = -1.41 + 0.41. Is j at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 22*p + 13. What is f(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 37*h - 24. Let m be g(-22). Let a = 627 - m. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3135085 or 3134970?\nAnswer: 3135085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -525 - -1230. What is the common denominator of -71\/8 and ((u\/(-18))\/(-5))\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001742509 to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 2. Let g be k(7). Let a(u) = -u**3 + u. Let i(f) = 6*f**3 - 7*f**2. Let t(m) = -5*a(m) - i(m). Does 7 divide t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7667\/(-102) - (-119)\/714?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-9 - -4) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**6\/105 - 122*b**5\/35 - 121*b**4\/7 - 724*b**3\/21 - 241*b**2\/7 + 146*b + 2. Factor u(c).\nAnswer: -2*(c + 1)**3*(c + 241)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 10 = 5*v, -273*j - 42 = -278*j + 2*v for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.468 and -0.12294889.\nAnswer: -5.59094889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 + 30*p - 1. Let l(j) = j**2 - 8*j - 1. Calculate b(c) - l(c).\nAnswer: 5*c**2 + 38*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from ddddqduuddddudd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -677*u**5\/60 - 472*u**4\/3 - 13*u**2 - 44*u. Find the second derivative of g(v) wrt v.\nAnswer: -1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4083339 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 26 = 8*w - 11*w, -4*w + 32 = 2*f. What is the nearest to w in 0.5, 2, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/17 + 2026*o**3\/17 + 50486*o**2\/17 - 827994*o\/17 - 876456\/17 = 0. Calculate o.\nAnswer: -987, -37, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m - 64*m - 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10326.002973 - -10350.003. Let z = -24 + m. What is z rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1030 - 1029.99819. What is k rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599817 to the power of 1\/2, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0687*-0.1\nAnswer: -0.00687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1560*j**2 + 100*j + 388. Does 77 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -35\/2. Suppose 5*q - 8 = -2*l, q - l + 0 = 3. Let s be (3\/6)\/((-5)\/(-4)). What is the nearest to q in p, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27966631 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c - 176. Let g be j(-11). What is the common denominator of g\/143 - (-4533)\/(-2730) and 29\/110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + 17 - 9) + 15 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 95878*b - 7683040.\nAnswer: 2*(b - 48019)*(b + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 290408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 57.043. Let a = c - -22.957. Let m = a - 24.3. What is m rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34 - -284171.\nAnswer: 284170.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 33 - 33. Let o be (16 - 5) + -2 + 4 + x. Let b be -2 - 3\/((-6)\/34). Solve a + o = -3*u, 2*a - 3*a + b = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -36*r. What is the tens digit of f(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-40))\/((4\/(-1))\/(-1))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 6 - 9 - 2 + 5 + 31*j**3.\nAnswer: 38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-58*x - 70*x + 117*x)*(25 + 0*x - x + 3*x - 17).\nAnswer: 22*x**2 + 88*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 6*l - 1. Let h be n(5). Suppose -j = -h*j + 18. Which is smaller: 9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**3 + 5*t**3 - 2*t**3)*(-2 + 0 - 1) + 76*t**3 - 33*t**3 - 141*t**3 in the form z*t + m*t**2 + p*t**3 + w and give p.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -75804720 rounded to the nearest ten thousand?\nAnswer: -75800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -325 + 333. Let z(u) be the second derivative of -u**3\/6 + 13*u**2\/2 + 2*u. What is the units digit of z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/61? (a) -1 (b) 0 (c) 12\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 10*o = -36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4958952692.\nAnswer: 2, 773, 1603801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*q = -2*b + 43, -4*b + 152 = -2*q. Let i(f) = 2*f**2 + 2*f - 13. What is the remainder when i(-7) is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -28.97016 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*f - 12, 3*q = -88*f + 89*f + 18 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 82 = -4*q + 5*q, 2*r + 2*q - 28 = 0. Let g(k) = -k**3 - 17*k**2 - 21*k - 56. Let i be g(-16). What is the highest common factor of r and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 898, -4 in decreasing order.\nAnswer: 898, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3018 = -c + 2*u, -5*u + 2606 = 5*c - 12559. Calculate the least common multiple of c and 16.\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 11*t + 2 + 0*t to s + q*t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 5*r - 11. Let x be j(-6). Let d = x + -38. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 + 210 - 132*d - 846 + 220 + 217.\nAnswer: -132*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 3 + 0*x - 13*x.\nAnswer: -6*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*4995\/975)\/(((-6)\/40)\/(2\/8))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 4436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1782 divided by -9\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-7\/4)*j)*j)\/j)\/(j**(-1\/3)*j*j*j))\/(((j*j**(-4\/7)*j)\/j)\/j**2) assuming j is positive.\nAnswer: j**(-323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*d = 29329 - 29337, 42 = 6*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049438539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, 2, -1, -9, -21 in ascending order.\nAnswer: -21, -9, -4, -1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 3*d**5\/100 + 4*d**4\/5 + 29*d**3\/10 + 21*d**2\/5 - 52*d - 2. Determine l so that t(l) = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -16\/15 (c) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -9250*x**2 + 9255*x**2 - 2*x - 3*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 100864*q\/5 - 363240.\nAnswer: 2*(q - 50450)*(q + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1604, -3248, -4966, -6800, -8792, -10984, -13418, -16136?\nAnswer: -19180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.321025\nAnswer: 0.12841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80204\/7 - -11458. Which is the nearest to l? (a) 0 (b) 12 (c) -18.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -97*l - 3487. Let m be o(-37). Sort -8, -4, -1, m in descending order.\nAnswer: m, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 489\/5 - (-4)\/(-80)*-4. Let w = y + -94. Put w, 0.1, -2 in decreasing order.\nAnswer: w, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -17, -34, -65, -116, -193?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 48, 108, 190, 294?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*(-1000)\/6750.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11826 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -867 + 867.11. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4\/5)*v**(-2))\/((v**0*v)\/v)**(-29))**(-41))**(-13) assuming v is positive.\nAnswer: v**(-7462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 51*x + 123. Let v be (-43240)\/22090 - 4\/94. Give t(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 5902.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -218860152168442 and -4?\nAnswer: 218860152168438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*u**4 + 2896*u**2 wrt u.\nAnswer: -5184*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 9. Determine k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29132 - ((-8)\/4 - 14) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -1312, -22, 36?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 340 - 2?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51340020 - -1?\nAnswer: 51340021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + 5 + 2*sqrt(108) + (0 + sqrt(108) + 0 - sqrt(108)) + sqrt(108) + (sqrt(108) - (1 + sqrt(108)))*6)**2 + 0).\nAnswer: -72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -726*h**2 + 726*h**2 + 1 - h**4 + 3*h as y*h + q + k*h**2 + f*h**3 + w*h**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Let k(w) = 4*w**2 - 5*w - 6. Let c(s) = -s**2 + s + 1. What is t*k(h) + 10*c(h)?\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.65 times -2.923\nAnswer: -4.82295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 11*l + 14. Let x be z(12). Let b(t) = 2*t**3 - 2*t**2 + 2. What is the remainder when 19 is divided by b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 5*r + 10. Suppose 5*w = m - 2*m, -10 = -5*w. Let l(v) = v**3 + 8*v**2 - 22*v - 15. Let q be l(m). Let x be a(q). Solve b - 6*b = -x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-634*b - 5214*b - 5805 + 5805 - 366*b - 2793*b)*(-2*b - 3*b + b).\nAnswer: 36028*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175598*o**2 + 175618*o**2 - 351183*o**2.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = z - 7, 0 = 4*k - 3*z - 19. Let j(p) = 4*p**2 - 2*p + 1. Let n be j(k). Suppose 11 = n*x - 7. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4488*g - 4492*g - 28 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 77 = p, -14*y + 16*y = -p + 35. Factor 3*c**4 + 90 + c**4 + 20*c**3 - 90 + 32*c**2 + y*c.\nAnswer: 4*c*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22799403 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -71\nAnswer: -5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/8)\/((-10)\/(40\/(-9)))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/((n*n\/(n*n**(-1\/3)))\/n))\/(n**(-1\/4))**(-2\/3) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-12)\/(-576)*4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p + 21*p**3 + 5*p + 18*p**3 - 36*p**3.\nAnswer: 3*p**3 - 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/24 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2626.\nAnswer: -1050.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 8:40 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 14, 11, 4?\n\"Answer: -2*d**2 + 7*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/112403 and 77\/8.\nAnswer: 899224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17526889903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 37. Calculate the least common multiple of 7 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -14\/11, -0.5, -1 in descending order.\nAnswer: -0.1, -0.5, -1, -14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 11}. Give prob of picking 2 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + 2*i - 1. Let y(o) = -o + 6. Let k be y(5). Let g be n(k). Suppose -g*d + d - 2 = 3*j, -4*d - 10 = -j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**23\/f*f*f*f**(2\/23) assuming f is positive.\nAnswer: f**(577\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -85.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530905500?\nAnswer: 2, 3, 5, 117979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1544, -3094, -4644, -6194, -7744, -9294?\nAnswer: -10844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - 5) + 0 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 685500?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 12, -2, -5, -0.5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1393 - -1386 - ((-2 - -42) + 0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 15118\nAnswer: 1\/15118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a66 (base 11) in base 9?\nAnswer: -113038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txnrrttttttttxttttt. What is prob of sequence rxr?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18024*m + 7 = -18023*m - b, m + 3*b + 5 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -86*l**3 - 11*l**2 + 56*l + 65. What is w(-1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/6 + 2*b**2 - 25*b - 4. Let i(g) = 1. Suppose -14*m - 4*m + 108 = 0. Give m*i(z) - o(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(98) + -3.\nAnswer: -2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*sqrt(5) - -3*(sqrt(5) + 0).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176078853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -218*u - 67710. What is d(-312)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 0 (c) -2.51 (d) 1\/8 (e) -2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 17.\nAnswer: 106\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 875, 1725, 2551, 3347, 4107?\nAnswer: 4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most -13954\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140000 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 9*x - 15. Suppose 2*h + 22 = 4*z, -3*h + 2*z - 8 = -x*h. Do h and 2\/41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247 + -267. Let z be (3 + 5\/h)\/(6\/96). Let a be (-6340)\/(-18) + (-4)\/18. What is the greatest common factor of a and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/15*-3 - -7. Find the third derivative of -1023*d**6 + 4*d**2 + 10*d**2 + 1057*d**c wrt d.\nAnswer: 4080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16772161636 plus 1?\nAnswer: -16772161635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.055 to 1 dp.\nAnswer: -37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*p - 916, -p = -2*g - 3*p + 442. Let c be 3\/(-5) - (-3760)\/g. Let k = c - 16. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 + 216. Let x = l + -64. Solve x*a - 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*s - 10, 2*s + 46*y = 41*y + 20. Let v = 4 + 1. Suppose 4*l**3 + 2*l**4 - 6*l**s + v*l**5 + 0*l**2 - 8*l**2 = 0. Calculate l.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347995?\nAnswer: 5, 79, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7))**23*((u\/(u\/(u*u**(-1))))\/u)**10 assuming u is positive.\nAnswer: u**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*d*d**(-3))\/(d**3*d**(-1\/4))*(d**1)**9*d**(4\/7)\/d**(1\/7) assuming d is positive.\nAnswer: d**(271\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 9609*v - 858690 = 0. Calculate v.\nAnswer: -87, 3290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -795916 or -795915?\nAnswer: -795915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11058 - -11055. What is the nearest to -68 in k, 5, 1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13b - -2135b1?\nAnswer: 213472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1949476 rounded to 1 decimal place?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a = -25*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39371 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - -4) + -43 + 46\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*r + 399 - 1291 = 168*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 - 0.03. Let o = -2 - -2. Let m = o - -3. What is the biggest value in -0.3, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379.28 <= -6142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 12. Let d be a(8). Sort -17, 5, d in decreasing order.\nAnswer: 5, d, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -980.9997621 - -981. What is p rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**2 + 6*q - 9. Give r(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j - 3 = 0. Let x = -0.4 - -0.9. What is the nearest to x in -0.5, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*n + 12, 3*n + 0 + 9 = -3*i. What are the prime factors of (i + 27\/(-12))*-4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 24 = 3*f, -4*i = -684*f + 689*f - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 609554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 787 = -137. Suppose -2*b = 3*h - 67, 0 = 3*h - 5*h + b + 40. Calculate the highest common factor of h and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65401a5 + 5?\nAnswer: -65401a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3729.33 and -548.18.\nAnswer: 3181.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -67, 4 in decreasing order.\nAnswer: 4, 3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 21*z - 73500 = 20*z, 5*z = -5*q + 73500. Suppose -3*f + 3*g = -22053, -g = -2*f - 0*f + q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164*i**3 + 10*i**2 + 201*i**3 - 8*i**2)*(-i - i + 3*i).\nAnswer: 37*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 1.1. Let q = -6 + 6.3. What is the closest to c in -3, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108 or -1349545\/6?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**4\/3 - 22*v**3\/3 + 20*v**2 + 5*v - 2. What is y in w(y) = 0?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**2))\/i)**10*(i**(-6)*i)\/i*i*i**3)**(-16) assuming i is positive.\nAnswer: i**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4393, 4400, 4407?\n\"Answer: 7*j + 4386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923645.\nAnswer: 3, 5, 257, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 55*s - 70*s. Suppose -b = -3*g + 4*g, 0 = -b - 3*g - 4. Suppose 9*h + 475 = b*w + 4*h, 2*h = s. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057 (base 8) in base 9?\nAnswer: -681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (216\/60)\/((-2)\/(-60)*4). Find the second derivative of -38*o**2 + r*o + 21*o + 28*o + 2*o wrt o.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -15. Let k(f) = 2*f**2 + 7*f + 6. Let b(m) = 2*m**2 + 6*m + 5. Calculate j*k(x) + 6*b(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, 2, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlllxl. What is prob of sequence lxll?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k + 5*w - 40, 0 = 4*k + 3*w + 11. Let h be (-84)\/(-35) + (-3)\/k. Differentiate -s - 1 + 2 - h with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17248*l + 603531. Determine k(35).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 110 + 46. Let d = -27 - m. Let u = d + -20. Solve u*p = 3*a - 18, 6*p + 3*a + 12 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*q - 4*q - 15*q)*(-3*q**4 + q**4 + q**4 - 1) + q + 2*q**5 - q + (4*q - 2*q - q)*(0*q**4 - q**4 + 3*q**4) + 2*q**2 + q**5 - 2*q**2.\nAnswer: 56*q**5 + 51*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let k(f) = -8*f - 3*f + 0*f + 2*f. Determine k(o(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8322*p - 22883*p - 669806 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348 a factor of 1137392524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(176) + -1) + 1 + (sqrt(22)\/(sqrt(8)\/sqrt(4)) + sqrt(44)*-5)**2.\nAnswer: -4*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1341545136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18669 and 3871.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-8))\/((-3)\/(-108)). Suppose 0 = -u*x + 5*x + 168. Calculate the greatest common divisor of x and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 22, 0, 43116, -5, 4.\nAnswer: -5, -4, -2, 0, 4, 22, 43116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1 = -h - 5*l, 5*l + 10 = 0. Let s be (h\/(-5))\/(1\/5). What is the second derivative of 2*a**2 + 2*a**2 - s*a**2 - 2*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 3651*b - 1. Let i(n) = -5 - 4787*n - 3*n**2 + 5 + 4787*n. Give g(i(v)).\nAnswer: -9*v**4 - 10953*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70848064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*-3)\/(-3) - 0. Let r(h) = -3*h + 11. Let q be r(-14). Let f = -47 + q. Solve -w*u = -u - f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u + u**3 + 0*u**3 + 0*u**3 + 4*u**2 + u**2 - 3. Calculate z(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuxlu. Give prob of picking 1 i and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**4\/16 - c**3\/4 + 15*c**2\/8 - 9*c\/4 + 148. Solve b(o) = 0 for o.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14684 or 14791?\nAnswer: 14791","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.052 + -2.948. Which is the closest to 4\/5? (a) 0.1 (b) p (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -614943 and 8.06.\nAnswer: -614934.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 65*z**4\/4 - z**3\/3 + 2. Let a be h(1). Suppose -3*f + f - 2*y = -26, 3*f - 2*y - a = 0. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9854 is divided by 66.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 66. Suppose -5*d = g - 30. Calculate the remainder when 33 is divided by (0 - -1) + 3 + -2 + d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250345, -250258, -250083, -249796, -249373, -248790, -248023?\nAnswer: -247048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 76*f**2 + 102*f**2 + 2*f**3 to i*f**2 + b*f + h + d*f**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 83. Let b be k(-18). Suppose 5*u = 3*l - 37, 4*l + b*u = 9*u + 26. Solve 4*s = -5*m + 14, 2*s + 3*m = 12 - l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 206. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15974, -15977, -15980, -15983?\n\"Answer: -3*r - 15971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**4 - 595*n**3 - 1150*n**2 + 2380*n + 4680 = 0.\nAnswer: -117, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*k**2 - 287666*b**2 - 174*b*k**2 + 3*b*k + 2*k wrt k?\nAnswer: 4*b**2*k - 348*b*k + 3*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 581*o**5 - 60747*o**4 - 2*o**2 + 16568527*o.\nAnswer: 34860*o**2 - 1457928*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + 3 - 9 - (0 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1080 and 76410?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4105*x**3 + 8207*x**3 - 4104*x**3 + 2*x**2 + 2171 in the form r*x**2 + d + a*x + z*x**3 and give d.\nAnswer: 2171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 6*x**2 - 3*x**2 - 2*x)*(-2*x**2 + x**2 + 3*x**2)*(1 - 3 - 2).\nAnswer: 8*x**4 + 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4186 + -1437. What are the prime factors of x?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2537281 and -21?\nAnswer: 53282901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 - 44*m + 5. Let u(r) = 6*r**2 + 41*r - 6. Determine -6*s(j) - 5*u(j).\nAnswer: -6*j**2 + 59*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 29. Give h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8953*a**2. Let g(j) = 4*j**2. Give g(p(t)).\nAnswer: 320624836*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/145872 and 173\/828072?\nAnswer: 1677673872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 105 + (0 - 2) - (-3 - -15) - 10?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07641 + -3.12359. Is r less than 8.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Let m(q) = -15*q. Suppose -5*y - o = 59, -4*y + 2*y - 27 = -3*o. Let n(x) = x. Let a(d) = y*n(d) - m(d). Calculate w(a(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i - 40. Let q be r(17). Let z = -26 + q. Calculate the greatest common divisor of z and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/12*(-14)\/4. Let b = -2 - z. Put b, 3, 0.1 in increasing order.\nAnswer: 0.1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba0480 (base 14) in base 6?\nAnswer: -343015504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeeieeeeeeeeeeeee. Give prob of picking 1 i and 1 e.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -75. Let i = v - -82. Is 32 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/7)\/(n**(-1\/10)\/n)*(n*(n**28\/n)\/n*n)\/(n**35\/n) assuming n is positive.\nAnswer: n**(-313\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 3*w - 19. Determine o(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/18*2 + (-1)\/(-9). Solve -8*h + 29 = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 5. Suppose 5*b = 4*j - 27, -3*j = b - j + 11. Let m be q(b). Let a = 461 + -445. Calculate the greatest common factor of m and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 12 = -14*r. Let d be (3\/5)\/((-9)\/r). What is the second smallest value in 14, 4, 4\/5, d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(((i**(-1)\/i)\/i)\/i))\/i)\/i)**(-3\/14)\/(i**(2\/9))**(-11))**(2\/53))**22 assuming i is positive.\nAnswer: i**(4994\/3339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*v = 176*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = 4, -2*u = 4*g - 20. Suppose 0 = -3*j + 4*d - 5, j + d = -j + g. Let i be j*(5 + -4) - -1. Sort i, -8, -2 in increasing order.\nAnswer: -8, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x**2 - 27*x + 3. Let q(w) = 2*w**2 - 4*w + 1. Let d(v) = -h(v) + 3*q(v). What is d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 3*j + 7 - 2*j**2 + 3)*(-3*j + 38*j - 16*j).\nAnswer: -38*j**3 - 57*j**2 - 38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 168733908 and -5867.\nAnswer: 168728041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.04 + 24.04. Put 0.1, -15, t, -27\/8, -0.2 in descending order.\nAnswer: t, 0.1, -0.2, -27\/8, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -2. What is the units digit of (-1 - -48) + (m - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f**2 - 7*f + 7. Let i(k) = -5*k**2 - 4*k + 4. Let h be -3*1\/(-6)*-14. Let b be -4 + (-1)\/((-17)\/8 + 2). What is b*w(r) + h*i(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 84. Suppose t*c = 111 + 15. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13700 - j**2 + 13700 + 5*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5215 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157552*k**2 - 78777*k**2 - 78778*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 + -156. What is the highest common factor of j and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 9*k - 8*k. Let d be (34\/(-6))\/(-1 - k\/36). Suppose d + 514 = 6*h. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 11301\/4, -873.\nAnswer: -873, 1\/7, 11301\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/120 + w**5\/30 + w**4\/12 - w**3\/2 - 94*w**2. Give i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 261*z - 37. Let w(y) = -260*y + 35. Let a(d) = -4*g(d) - 5*w(d). Is a(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/965586 and 1\/80868.\nAnswer: 565833396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/6 - 563*o**3\/2 + 839*o**2 + 20218*o\/3 + 7868 = 0?\nAnswer: -2, 7, 1686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - q - 1 = 0, 30*v - 34*v - 2*q + 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22804, -45613, -68422?\n\"Answer: -22809*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (99 - 99 + 85*l)*(-3 - 1 + l + 3) as v + w*l + b*l**2 and give w.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 26*k - 10. Let u(s) = s**2 - 30*s + 11. Let g(h) = 6*j(h) + 5*u(h). Give g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 9. Let v(a) = -1. Let u(l) = -t(l) + 3*v(l). Let n be u(5). Solve 0 = -n*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1618, -1816, -2372, -3466, -5278, -7988?\nAnswer: -11776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:01 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3422484 to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40102 (base 5) to base 15.\nAnswer: b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 12. Let n(s) = -3*s**3 + s**2 + 2*s + 1. Let m be n(-1). Solve -d = m*d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 3*m - 19, 2*d - 208*m + 205*m = -11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 51*q**2 - 90*q - 136. What is the remainder when g(49) is divided by 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:25 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-65))\/(1\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312662810?\nAnswer: 2, 5, 17, 983, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13122*c**4*q**2 - 3*c**4 + 18*c*q**2 - 63*c*q + 141*q**2 + q wrt c.\nAnswer: -157464*c**2*q**2 - 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10013, -20025, -30037?\nAnswer: -40049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 + -129. Let i = -188 - f. What is the lowest common multiple of i and 150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (354\/40)\/3 - (2720\/(-136) + 23)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 4, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131648, 130997, 130346?\nAnswer: 129695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2. Let h(s) be the first derivative of s**4\/2 + s**3 - 74. Calculate -15*c(u) + 5*h(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 <= -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = -2*c - c, 0 = -b - c + 5. Let h = b + -8. Is (3\/h)\/(2\/(-316)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 21, 0.05?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12*-5*-4. Suppose 0 = -l - 2, 0*l + 10 = 2*s + t*l. What is the greatest common divisor of 50 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i + 3. Suppose 0*y = i*y - 28. Calculate the least common multiple of y and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.05 - -2.0500165. Round o to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 25*w - 1174. Let t be a(49). Solve 2*i + 4*p = -22, 3*i + 4*p - t = -27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137230?\nAnswer: 2, 5, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10785 at least as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377690.1 grams to micrograms.\nAnswer: 377690100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (183*8\/36)\/(12\/(-198)). Let t = m - -584. Are t and -85 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-6)\/(-56)*2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21516726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.013 from -7673268.\nAnswer: -7673267.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2222*v**2\/3 + 2826388*v\/9 - 1696\/9 = 0 for v.\nAnswer: 2\/3333, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:36 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 236630 = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**5*i**(-9))**(14\/9)*((i**(-6)*i)\/i)\/i**1*i**0\/(i\/(i*i*(i**(-4)\/i)\/i*i*i)) assuming i is positive.\nAnswer: i**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239450202 a multiple of 6739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 261.3287 * 21\nAnswer: 5487.9027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 6*d - 3*d - 6*d - 9*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -108*o - 250. Give w(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + i + 9. Suppose -2*v + 6 = 0, -5*x + 2*v - 7*v = -110. Suppose 0 = -x*a + 21 - 2. Solve -r + q + 0 = -a, r + i*q + 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 28. Let u be 3\/((-2)\/(-12)*6). Suppose 8 + 2 = -5*g, -4*y = -u*g + 14. Which is the third biggest value? (a) n (b) -3\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64989 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*u - 401*u - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -10?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 14*i + 53. What is the remainder when 324 is divided by m(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 12*h - 2. Let z be u(12). Let p(t) = t**2 - t - 4. Let k be p(z). What is the third derivative of 11*s**3 + 6*s**2 - s**k - 6*s**2 wrt s?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r. Let t(s) = 4*s**2 - 9*s - 3. Let j(d) = 12*d**2 - 24*d - 7. Let i(n) = -3*j(n) + 8*t(n). Determine l(i(q)).\nAnswer: -16*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851004.\nAnswer: 2, 359, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 13867?\nAnswer: 5\/13867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5466*p - 355293. Determine j(-65).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3) + (1*sqrt(3) + -1)**2 + sqrt(9)\/(sqrt(3) - -2*sqrt(3))*6.\nAnswer: sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12647374*t**2 + 5 + 12647351*t**2 - 4*t**3 + 2*t + 2*t**3. Let k(o) = -o**3 - 12*o**2 + o + 3. What is 3*f(c) - 5*k(c)?\nAnswer: -c**3 - 9*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.5 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/5)*v*v)\/(v*v*(v\/((v\/v**(-1))\/v))\/v*v))**(-2\/23) assuming v is positive.\nAnswer: v**(-8\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2191 and -3?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.7 + -0.3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 584265.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6 + -3 + (-50)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/14)\/((-15)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 (base 10) in base 5?\nAnswer: 10401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-35))\/((-170)\/(-1190))*7\/(56\/960)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295671 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110021233012 (base 4) to base 16\nAnswer: 509bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5)*h**(-4\/21))\/(h**(-3)\/h)**(16\/5))**17 assuming h is positive.\nAnswer: h**(33218\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/210 + n**4\/42 + 3*n**2\/2 + 3*n. Let x(q) be the first derivative of w(q). Factor x(j).\nAnswer: 2*j*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10\/6637633 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1571*p**2 + 3044*p + 7. What is q(2)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 12020212220011?\nAnswer: 12020212220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 >= 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-25) + (-16)\/(-5). Suppose 0 = 5*h + b*n - 20, 0 = -6*h + h + n + 20. Suppose 0 = -h*v + 16 + 12. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3125105.89753 + 0.2973.\nAnswer: -3125105.60023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4*12\/32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*v - 97*v + 74*v**2 - 75*v**2 as j*v**2 + f + z*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76842 is divided by 223?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20030, -20039, -20048, -20057?\n\"Answer: -9*w - 20021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*6 - (43 - 45). Let x be 2\/(2\/(-3)) + 0. Let i = 7 - 12. Sort d, i, x in descending order.\nAnswer: d, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -64*q**2 + 56*q - 3. Let y be s(1). Which is the smallest value? (a) 0.4 (b) 5 (c) y (d) 0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6486 - 6376 = 10*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2539 + -2541. What is the second smallest value in 22\/7, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027449 to four dps.\nAnswer: -0.0274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79017 is divided by 9872.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75037794.\nAnswer: 2, 3, 13, 31, 31033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*o = 1191, 4*o + 8 = -4. Calculate the remainder when w is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99306 times -3?\nAnswer: -297918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k + 20. Let a = 7 - -10. Suppose -2*i + a = r + 4*r, 2*i - 12 = -4*r. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 4*x**2 - 3. Let p(i) = -i**3 - i**2 - 1. Let d(b) = 12*p(b) - 3*y(b). Differentiate d(w) wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43800260 divided by 206605\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 - -251. Let c = 190 - j. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2\/4 + 1647*c\/4 - 1653\/2 = 0 for c.\nAnswer: -551, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -2527.\nAnswer: -22743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376 divided by -188.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4585940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10904 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5630 + 107*o**2 - 111*o**2 + 30*o - 5634. Calculate r(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -4, -1\/5, 1\/6, -0.5 in ascending order.\nAnswer: -86, -4, -0.5, -1\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 64 = 4*w, 5*w - 48 = -3*i + 36. Calculate the highest common divisor of 144 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1608*z - 3976 wrt z?\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4259\/2070 + -2\/1035. Let r be 1659\/(0 + -3)*1. Let w = r - -12105\/22. What is the common denominator of w and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)*c)\/c)**39\/((c**(-3)\/c)\/c**(-20)) assuming c is positive.\nAnswer: c**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + 1 + sqrt(242) + -5 + -2 + sqrt(242))**2*-1 + 3.\nAnswer: -5017 + 1320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, -30, -98, -192, -312?\n\"Answer: -13*s**2 - 3*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1445112\nAnswer: 7\/1445112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11801b6 - 4?\nAnswer: -11801ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(0 + 1 + 1)*(-4 - 3 + 5)*(-5 + 0 + 2)*(686*j - 431*j - 1024*j) to the form m*j + v and give m.\nAnswer: 18456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/75)\/(-4))\/(81\/135)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10671 + -10667. Solve 12*d = -3*g + 9*d + 3, -3*d + x = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*4*(0 - (-2)\/8). Suppose -n*r + 70 = 4*x + r, 5*x = -3*r + 94. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 2*y + 1. Let s(h) = 0 + 3 + 7 + h. Let n be s(-6). Suppose t = -n + 2. Calculate b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2051 + 2051 - 6*r + 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934890 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 31. Let l be r(0). What is the greatest common divisor of 217 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16878 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11ab9 (base 14) in base 11?\nAnswer: -2a579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*2)\/2 - -31. What is the highest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -11) + (5 - (0 - 18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + h = -5 - 0, -2*c = 4*h - 109235 + 109241 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 + 0 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*1*(14\/4 + -3). What is the highest common divisor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -31. Let d(t) = 2*t**3 - 4*t**2 - 9*t + 16. Calculate the least common multiple of d(m) and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -35*s - 137. Let g be m(-4). Suppose -2*k + 16 = -40. Factor 15*v**3 + 10*v**3 - 21*v**g + k*v + 20*v**2 + 12.\nAnswer: 4*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 333*l*p**2 + 2*l*p - 2*l + 1623*p**2 - 4321920 wrt p?\nAnswer: 666*l*p + 2*l + 3246*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 7*o - 6)*(-5 + 20 - 3)*(-2*o**2 + 3*o**2 + 5*o**2) to p*o + n*o**2 + k + f*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 0 + 6 - -2. Suppose 0 = -x*j - 2*p + 366 + 942, -5*j = 5*p - 1640. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-16) - 5\/10. Let y = -22 - -19. What is the biggest value in y, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 701*f + 1406.\nAnswer: -(f - 2)*(f + 703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154.5039 + 154.4369031. Let z = c + 0.067. Round z to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-2)*v*v*v)*v)**(14\/5)*v**0*v*v**(-8) assuming v is positive.\nAnswer: v**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 13*b + 47*b + 4 + 23*b.\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/17)\/v))\/((v*v**(-5\/4))\/v) assuming v is positive.\nAnswer: v**(213\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/844 and 59\/32.\nAnswer: 6752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*j**4 + j**2 - 252*j - 2.\nAnswer: -1740*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - (-22)\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 23*b + 15. Let n = 529 - 540. Give j(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4599.20207781\nAnswer: -4597.20207781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 36*b**5\/5 - 23*b**4\/2 - 22*b**3 + 12*b**2 + 8*b + 8. Determine j, given that q(j) = 0.\nAnswer: -1, -2\/9, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 364*t**2 - 79 wrt t.\nAnswer: 728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00539 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -61.4. Let u = t + 66.4. Let n = 70 - u. Is n < 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 1. Let j(t) = 3*t**2 - 2*t + 9. Calculate j(p) - 2*y(p).\nAnswer: 3*p**2 + 2*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 + 18*j - 21. Let x(y) = 3*y**3 + 12*y**2 + 42*y - 43. What is -5*k(t) + 2*x(t)?\nAnswer: t**3 - t**2 - 6*t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1663246 and 936?\nAnswer: 59876856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 + 62*o\/11 - 116\/11.\nAnswer: -2*(o - 29)*(o - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + 13. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-20) - 45\/(-4). Suppose 0 = -3*f - s + z, 0*f - s = -f + 1. Solve 0 = 3*i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 140 = -11*u. Let q = u - -16. Let h = -6 - q. Calculate the lowest common multiple of h and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10932488*f**2\/17 + 9352*f\/17 + 2\/17 = 0. Calculate f.\nAnswer: -1\/2338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 764009 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74768820 + -1794190943\/24. Let r = x - 10867. What is the common denominator of 5\/6 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 + 49*a + 36. Determine r(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4853 + 1252. Let q = c + -728. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -4, -1.2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 508456, 1016930, 1525406, 2033884, 2542364, 3050846?\n\"Answer: s**2 + 508471*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from kxxcfxkkjcjjkkkkxjkk.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**3 + 0*l**2 + 0*l**2)*(2*l + 0 + 0) + 2*l**4 - 4*l**4 - l**4)*(0 - 6 + 3)*(2 - l - 2).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, m: 3}. What is prob of picking 1 i and 2 m?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0882967 minus 53.9?\nAnswer: -53.8117033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 13 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/708 and -11\/2714.\nAnswer: 16284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 422443?\nAnswer: -422441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4413 + -3738. Is f a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 + 179*n - 1765. Determine w(10).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -5) + 2 + -1. Find the common denominator of 1\/(-9 + 0)*t and (3\/10)\/((-27)\/(-15))*-37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4311809.99.\nAnswer: -4311812.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 32096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24*-56024\nAnswer: -1344576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m**2 + 76. What is the remainder when y(0) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 14 = 42 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34570*c**2 + 13949*c**2 + 17746*c**2 - 27 - 24 wrt c.\nAnswer: -5750*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/9 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1028, -2054, -3080, -4106, -5132?\n\"Answer: -1026*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:39 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 361 and 67764393?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = -9. Let a = -20 - -28. Solve -2*q + 2*q**2 + a + g*q + q = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 11*h**2 + 56*h - 3. What is j(-5)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*c = -5*c - 179994, 3*l + 3*c = 179982. Let h be l + (-1)\/2*-6. What is h rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 9*t - 53. Let q = 24 + -19. Sort q, t, 0.\nAnswer: t, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, c: 1}. Give prob of sequence nc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 s when three letters picked without replacement from {i: 2, k: 1, y: 2, s: 1, l: 2, v: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8288 + -1442105\/174. Find the common denominator of g and -38\/15.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.98 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7*18)\/3 + (-8 - -8). Suppose 3*c - c = -r. Let k be (-7)\/(c\/18) + (0 - 0). Solve 2*g = k*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*j + 38. Let o be ((-1)\/3)\/((-3)\/45). Calculate the highest common divisor of j and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7531216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 - 238530*a**3 - 4750197471*a**2 - 350535577980*a - 6478872685068 = 0.\nAnswer: -39718, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -400 times 0.0905\nAnswer: -36.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/n)\/(n\/(n*n*(n*n**9)\/n*n)) assuming n is positive.\nAnswer: n**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 62, 183, 414, 791, 1350, 2127, 3158?\n\"Answer: 6*c**3 + c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 times -0.4?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-3) + (-2)\/3. Let b(g) = g**3 - 7*g**2 + 6*g + 5. Let j be b(6). Is 17 a factor of 11*y + (j - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - d**3 - 537385*d**4 + 537655*d**4 + 2*d**2 + 1 to the form j*d**3 + l + a*d + u*d**2 + y*d**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = 15*q - 779 + 40 + 101 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5954 divided by -13.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372*h**6 - 931*h**2.\nAnswer: -44640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 291.463847502\nAnswer: -291.413847502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + q**2 + 0*q**2)*(7181*q - 14496*q + 6774*q) in the form d*q + w*q**2 + g + j*q**3 and give j.\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 + -66?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -6, 19, -9 in decreasing order.\nAnswer: 19, 0, -3, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 2*y - 4*y. Suppose -5*x + 5*v + 100 = -0*x, 2*x - y = 5*v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**5\/20 + 7*l**4\/12 + 7*l**2 + 19*l. Let u be k(7). Which is smaller: 18 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33 and 31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from ooloooroloooooolo.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 0.19, 9.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 - 30*j**2 - j - 241?\nAnswer: 24*j**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**8*(v*(v\/v**(-5\/2))\/v*v)\/v)**(-5\/4)\/((v**(2\/5))**(-10\/19)*(v\/v**(-1))**(-12\/11)) assuming v is positive.\nAnswer: v**(-22125\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3923819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = -5*p, -2*p + p = 5*q + 10. What is the least common multiple of 26 and ((-48)\/(-5 - -9))\/q?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + 19*y**3 + 9*y - 5*y**2 + 3*y**2 + 5*y**2 as w*y**3 + d*y**2 + l + o*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21271 - 21266. Which is the nearest to 1\/2? (a) 0 (b) -0.7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73130158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -28*o + 7853*o**3 - 7892*o**3 + 3*o**5 + 12*o**4 - 120*o**2 + 172*o = 0.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:18 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -78. Sort m, 1, 11 in descending order.\nAnswer: 11, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 5?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*u - 3774 = -384*u + 583*u for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13654278 divided by -594.\nAnswer: 22987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(-6)\/(-1). Suppose -x + 15 = 5*o + p*x, -4*o = 3*x - 9. Suppose o = 6*b - 4*b - 10. Let g(t) = 2*t + 2. Let s(d) = -d - 1. What is b*s(a) + 2*g(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5168\/143 - -432\/13. Let b be (-33256)\/(-840) + 4\/(-10). Let k = b - 109\/3. Find the common denominator of k and g.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*z - 10 = 0, 501*z - 65 = 22*l + 502*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 946*j - 11361\/4.\nAnswer: (j - 3787)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122100 (base 3) in base 4?\nAnswer: -221133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727071185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 247 - 1623. Let k(p) = -i*p + 350*p - 2 - 176*p. Give k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1743910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27072 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -20 (b) 390 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) 5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 861*f**2 + 21*f + 21. List the prime factors of q(-1).\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/23 - 32828*l**2\/23 + 1055384*l - 4390898640\/23.\nAnswer: -2*(l - 358)**2*(l + 17130)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -960, -1931, -2890, -3831, -4748, -5635, -6486, -7295?\nAnswer: -8056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + -2) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 3. Let g(x) = -x**2 + 25*x - 47. Let p be g(23). What is the nearest to 1 in b, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3133 and 2561?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465*b**3 + 2*b**2 - 931*b wrt b?\nAnswer: -2790*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7289 minus -48?\nAnswer: 48.7289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 1472176\nAnswer: 5\/368044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -645580650*d**2 - 45109738 with respect to d.\nAnswer: -1291161300*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185.7881 kilograms to milligrams.\nAnswer: 185788100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 1:20 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1069210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 2*g**2 - 2*g - 21. Let c(w) be the second derivative of -w**5\/10 - 5*w**4\/12 + 5*w**3\/6 + 43*w**2\/2 + 3*w + 689. What is 2*c(u) + 5*v(u)?\nAnswer: u**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 5, 161, -4?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v**2 - 11*v**2 - 22*v**2 + 594*v**3 + 51*v**2 - v + 69*v**3 in the form g*v**2 + w + j*v + u*v**3 and give u.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2656307 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = -71. Calculate the remainder when 53 is divided by (-2 - 12\/(-4))*w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-109037.\nAnswer: 21807.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010 - 0?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.56644 + -0.12356. Let b = -55 - u. Let s = b + 0.76. Round s to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.23, -0.4, 19.02, -6 in decreasing order.\nAnswer: 19.02, 0.3, 0.23, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 8\/10*(-55)\/(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22275 + 22272. Sort w, 2, 161, -2 in decreasing order.\nAnswer: 161, 2, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150108229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixvxmaxixmavxxax. What is prob of picking 1 v, 1 m, and 1 i?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. What is the remainder when -1 + n - (3 - 2) is divided by 46\/14 + (-6)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 6 + 2*l - 2 - 6*l. Let g be d(3). Suppose 3*r = 2*a - 12, -3*a - 3*r + 2 = -g. Solve -y + 3*j - 18 = -4*y, a*y - 10 = -j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2539 = 454*n - 10711. What is the remainder when 1586 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 3, n: 2}. What is prob of sequence kmk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r - 13. Let i(d) = -5*d + 7. Let w(n) = 6*f(n) + 11*i(n). Let t(q) = q + 8. Let x(h) = t(h) + 2*w(h). Calculate x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*w = 141*w + 5672800. Is 340 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1) - -6)*-13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*i + 378*i + 390*i + 1006*i to the form g + k*i and give k.\nAnswer: 1551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016*s + 2015*s + 43729 = w, -s + 2*w + 43750 = 0. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 17. Suppose -117 + 43 = 16*r - 58. Which is the nearest to -1\/6? (a) -4 (b) 3 (c) r (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/4 + 55*h**4 + h**3\/4 - 55*h**2 = 0.\nAnswer: -1, 0, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + c - 43 = -4*c, -5*l - 3*c = 30. Let x be l\/(-6)*4\/2. Factor 0*s**3 - 2*s**x - 2*s**2 + 2*s**5 - 5*s**4 + 7*s**4.\nAnswer: 2*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, e: 2, i: 3, m: 1, s: 3, r: 2}. What is prob of sequence eir?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 40604069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -5 (c) 0 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*z - z**3 - 8 - 817*z**2 + 817*z**2 + 92*z.\nAnswer: -z**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29732 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 37255249.\nAnswer: 1490209.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/8)*x*x**(-4))\/(x*((((x*x**(-12)*x)\/x)\/x)\/x*x)\/x*x**(1\/6)) assuming x is positive.\nAnswer: x**(239\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 2. Suppose -16 = -5*o + 54. Suppose -2*v - 3*v = -2*u + 11, 0 = 3*u - 5*v - o. Let n be w(u). Let g(j) = -j. Determine g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8333205?\nAnswer: 3, 5, 347, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149008862 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 the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(-19)*(1760\/48)\/(-22))\/((-33)\/(-9)).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11484)\/6264 - ((-1185)\/18 + 1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 639, 1280, 1921, 2562?\n\"Answer: 641*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**6\/60 + 7*v**3\/6 - 17*v**2 + 15. Let k(w) be the second derivative of d(w). What is the derivative of k(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.673 to one decimal place.\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(153216\/(-567)))\/(0 + -9).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:07 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4538*b*k - 26*b - 213*k - 618 wrt b.\nAnswer: -4538*k - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109736705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s = 82*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-621)*(-24)\/(-88)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/4)*o)\/o)**(-22)\/(o**(2\/7)*o)**(-2\/11) assuming o is positive.\nAnswer: o**(-2505\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45896 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8199 and 54660?\nAnswer: 163980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7789253 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 1\/5 (b) 9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*((-120)\/75 - 24*(-13)\/(-780)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3 + 6. Let l = 4 + -3.8. What is the closest to -1 in j, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -2 - 2\/2. Suppose 4*j - z*j = -5*b + 245, 0 = 3*b + 4*j - 164. Calculate the highest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1309 = 2*g, -g - 4*g + 1324 = 3*b. What are the prime factors of 2\/(-6)*1*(-2 - b)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 - 92075*b + 92076 = 0 for b.\nAnswer: -92076, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 110 = 0. What is the remainder when 381 is divided by x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/20)\/((-22)\/264))\/((-2)\/(-18)*-1)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97383*i**3 + 0*i - 97384*i**3 + 0*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.04 + -0.04. Let s = -1.2 - -0.2. What is the nearest to t in 0.3, -2, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/11)\/(-2 - (-8)\/3)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -64. Suppose r*t = 2*t + 1160. Suppose -2*j + 4*i + 4 = -28, -5*j = -i - t. Calculate the greatest common factor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847117 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/11, 17, 0 in decreasing order.\nAnswer: 17, 10\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i + 8*i - 16*i - 7 + (3 + 12*i - 3)*(-4 + 1 + 4).\nAnswer: 11*i - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-6\/19)*i)\/(i*i**(-1\/26)*i))\/(i**(3\/8))**(-12))**(-41) assuming i is positive.\nAnswer: i**(-32636\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24779 + -23674. Solve -1116*n = -m*n - 88 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.49 - 3.47. What is the closest to x in -3, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*u**5 - 20*u**4 - 8*u**3 + 24*u**2 - 4*u - 4.\nAnswer: 4*(u - 1)**3*(u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*q**2\/5 + 836*q\/5 + 53898\/5 = 0. What is q?\nAnswer: -39, 691\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18612 (base 9) to base 6\nAnswer: 135402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 796404 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Let h(p) = -5 - 84*p**2 + 5. Let z be (-9 - -6)\/(2\/18 + 0). Let o(d) = -12*d**2. Let y(a) = z*o(a) + 4*h(a). Calculate u(y(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 50\/(-3))*(11 + 7). Suppose -5*k = 16*k - i. Solve -u - 4*j - k - 1 = 0, 5*u = -3*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 8256787.\nAnswer: 74311083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/7 + 100*h\/7 - 176 = 0?\nAnswer: 22, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 68 = 2*p. Suppose 112 = 2*k + 4*w, -6*w + 7*w = -5. What is the remainder when k is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 6*q**2 - 6*q. Let v(b) = -b**2 + b. Let w(j) = -3*j - 10. Let o be w(-3). Determine o*r(i) - 6*v(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 1:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0776 (b) -0.27 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 343*0.1\nAnswer: 34.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*-4*sqrt(684) + (sqrt(684) - (2*(sqrt(684) + 3 + sqrt(684)) - sqrt(684))) - (-4 + (sqrt(684) + -2)*6*-2)).\nAnswer: -168*sqrt(19) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269592570 a multiple of 3955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 27 = -0*a + 2*z, -4*a + 98 = -3*z. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(20) - sqrt(60)\/sqrt(3)*5)\/(1*sqrt(10)*6).\nAnswer: -2*sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 937466 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: Simplify ((p**(-2\/5)\/p**(1\/9))**(-5))**32 assuming p is positive.\nAnswer: p**(736\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -349980 by -2.\nAnswer: 174990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 388990080 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1045517700*k**4 - 90900*k**2 + 3074*k?\nAnswer: 25092424800*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02313*416.\nAnswer: 9.62208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3093a5a (base 11) to base 8\nAnswer: 24627710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - s - 25 = 0, 4*s = -s + 5. Let y = z + 32. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 125 = -185. What is the highest common factor of 124 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -244\/75 + -1421\/1200. Calculate the common denominator of k and (9\/6)\/((-6)\/158).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8921556 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/168146 and 7\/5632.\nAnswer: 43045376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 + 1146*c**3 - 20032*c**2 + 16584*c + 37760 = 0. Calculate c.\nAnswer: -590, -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*v**(3\/11)*v)\/(v**(-10\/7)*v*v*v**(-6)) assuming v is positive.\nAnswer: v**(1286\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 624.729 hours?\nAnswer: 2249024400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130281383 to the nearest integer?\nAnswer: 11414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-44 - (-48 - -19) - (-5 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 - 11*c**3*i - 60*c**2*i + 440*c**2 + 16298115*c*i wrt c?\nAnswer: 12*c**2 - 66*c*i - 120*i + 880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 4, s: 2}. What is prob of sequence soi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 7:55 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-5*(-5)\/(-325)*2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 613*s + 4. Let m(z) = -z**2. Give l(m(h)).\nAnswer: -613*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/3 + (-20)\/(-30). Let v be 2 + (-2)\/o*3. Suppose -8 = -v*h + 7. Sort 2, -1, h in descending order.\nAnswer: h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 9 + 2 - 16*w**2 in the form h*w**2 + x + u*w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12563, 2, -1, -4 in ascending order.\nAnswer: -4, -1, 2, 12563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-414)*23)\/(-3*(-2)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-20))\/((-27)\/(-135)))\/(8\/(-248)).\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 77?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (13 + -6 - 3) - 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1256880, -5027475, -11311798, -20109849, -31421628, -45247135, -61586370?\n\"Answer: -1256864*y**2 - 3*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 12 = -12*t. Factor z**2 + 0*z + 0 + 1\/2*z**t.\nAnswer: z**2*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211310131 + -11313?\nAnswer: -211322110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241 + -1445\/6. Let h(c) be the first derivative of u*c**2 - 1\/18*c**3 + 1\/2*c + 13. Solve h(v) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012 - -1?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-217)*1\/(-1)*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229018 and 3569.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 159\/13, 0.43, 2, -8\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26839, 52176, 77511, 102844?\n\"Answer: -o**2 + 25340*o + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3809 + 5?\nAnswer: -3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = -63*i + 18*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 6, s: 1, b: 1, c: 4, x: 1}. What is prob of sequence cf?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2371*l. Let i(j) = 3*j**2 + 70129019*j - 70129019*j. Determine i(r(t)).\nAnswer: 16864923*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 516 - 2?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v**3 + 3 + 20*v**3 - 55*v**3 + 15*v**3 to the form m*v**2 + z*v**3 + g*v + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2993 + 3083. Solve -3*a = 102 - m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66, 79, 436, 1005?\n\"Answer: 106*v**2 - 173*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a91 (base 14) to base 15.\nAnswer: -23a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -0.0255?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b - 1)*(-215 + 215 + 110*b**3) + 0*b**4 + 3*b**4 - 5*b**4.\nAnswer: 218*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 15*m + 910 + 30*m - 5*m - m**2.\nAnswer: -m**2 + 910","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 - 2. Let q(i) be the second derivative of -13*i**4\/12 + 9*i**2\/2 - i. Let o be 4 - (-4 - -6 - 2). Determine o*q(m) + 18*v(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -5 + (-483)\/(-15) - 64\/(-80). Calculate the greatest common factor of l and 984.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 - -258. Let f be 3 - 0 - d\/24. What is the closest to 4 in 3, -4, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*c - 977*c - 99968 = -192*c for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 408.42 + 42.88. Let i = j + -414. Let q = i - 37. Sort 4, q, 5.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12211786*k + 12199344*k - 24411128*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/80 - k**5\/20 + 3*k**4\/16 - 6*k**2 + 33. Factor z(y).\nAnswer: -3*y*(y - 1)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 26 - 39)*(3 - 2*v - 3)*(40 + 106 - 8).\nAnswer: -2208*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10051 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: In base 15, what is -70 - 5a3?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 24*b**2 - 10*b - 34. Let v(t) = -5*t**2 + 2*t + 7. Suppose -21 + 6 = -5*l. Let s = -23 - -37. Let y(j) = l*n(j) + s*v(j). Factor y(q).\nAnswer: 2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**3\/3 - 76. Let p(g) = -10*g**2 + 3*g - 3*g. Calculate o(p(v)).\nAnswer: -100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16720628 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2504 - -110?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**0)\/o)\/o)**(-1\/6)\/((o\/(o**(-7)*o))\/o*o**0)*(o\/(o\/o**(1\/10)*o)*o**5)\/(o**(-1))**(3\/35) assuming o is positive.\nAnswer: o**(-173\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4 + 752*h**3 + 20456*h**2 - 752*h - 20460 = 0 for h.\nAnswer: -155, -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 497804*u + 4480154. Determine t(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -791419550, -1582839101, -2374258652, -3165678203, -3957097754?\n\"Answer: -791419551*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 less than -9036442?\nAnswer: -9036745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -2*c**3\/3 + 13*c**2\/2 + 6*c. Differentiate y(r) with respect to r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 216\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6 + 9. Let l be u - (1 + -74 - 2). What is the greatest common factor of 36 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 119?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + -21 + 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {l: 2, a: 5, x: 1, d: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(405).\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -82.04. What is the second biggest value in -3, o, 3, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -207 + 360 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131 - 23?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x + 5*u - 2, 0 = -3*x - 5*u + 8. What is the greatest common factor of 9 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83.805 + 0.195. Which is the second smallest value? (a) p (b) 3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27864 + 28229. Suppose -8*f + 10 = -3*f. Sort 1, f, c.\nAnswer: 1, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 32 = -12. Suppose -3*m = -o*m. Suppose 0 = t - 2 - m. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1789793?\nAnswer: 29, 61717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -6. What is the remainder when k is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246 - 246.4. Which is the second smallest value? (a) d (b) -0.04 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1440 + 1431 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrmmmrrmrrmr. What is prob of picking 4 r?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127617 + -255139\/2. What is the common denominator of (-86)\/588 - 2\/6 and j?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 59.245694 and -10.111.\nAnswer: 49.134694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*u**5 - 4*u**4 - u**3 + 6*u**2 + 366 wrt u.\nAnswer: -5940*u**2 - 96*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*w**2 + 432*w - 12*w**5 - 215*w - 215*w wrt w?\nAnswer: -720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2977127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 207 (base 16) to base 15\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 105293 - 4815 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1163, 0.5, 1, 0, -0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y - 12*y - 14*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -88, -115, -142, -175, -220?\n\"Answer: -i**3 + 9*i**2 - 53*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -64*b**3 - 11*b**2 - 5*b - 7. Let c(d) = d**3 + 2*d**2 + d + 1. Determine 5*c(s) + l(s).\nAnswer: -59*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nvnnvnnn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5296.999990564 - 5297. Round y to 7 dps.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/20)\/(1\/4). Let u = -0.9 + 1.4. Let g = 3.92 - -0.08. Which is the closest to n? (a) -3\/2 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.388022 - 21.2062. Let r = z - 0.381162. Let u = 3.2 + r. Round u to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8 = -3*a, -245*j - a = -2*a - 249 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v - 4*v)*(-7*v + 13*v - 12*v + (2*v - 2*v - 2*v)*(0 - 3 + 2))*(3*v - 3*v + v) + (-19 + 4*v + 19)*(-4 + 4 - v**2).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 4*o + 37. Let q be l(4). Let w = -0.05 - -0.35. Put w, -2, q in ascending order.\nAnswer: -2, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -282.3 and -3.\nAnswer: -285.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**3 - 24*n**2 + 10*n + 14. Let r(k) = -2*k**3 - 8*k**2 + 3*k + 5. Let q(i) = 3*o(i) - 8*r(i). Determine q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Suppose -4*k + 9*k = 2*z + 447, 4*k + z - 368 = j. Suppose 4*u + u + p = k, 5*p + 1 = -u. Calculate the highest common divisor of 38 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/4)\/(1\/4). Let t be 1\/3 - 4\/(-6). Let a = t + 1. Solve -2*s + 2*u = -u + a, 4*u - y = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.11 (c) -0.01347 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -720397383.3 - -720396345.8593826. Let n = r + 1029.7406. Let h = -7.7 - n. What is h rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 14*n + 14. Let q be u(-6). Suppose -5*l = -q*l - 354. Suppose -2*r - l = -5*m + 217, m - 67 = 5*r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3696 and 6384?\nAnswer: 70224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -39, -3, 4, 1, 6.\nAnswer: -39, -3, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 3, w: 6, o: 1}. Give prob of picking 1 m and 2 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 6. Let x be f(-19). Let o be x + (-35)\/20*-4. Is o at least 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-12))\/(4\/96*-2). Find the third derivative of 10*o**j + 2*o**4 - 4*o**2 - 2*o**2 + 15*o**4 wrt o.\nAnswer: 648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -389 + 392. Is 17024\/35 + f\/5 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/302 and 43\/96.\nAnswer: 14496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 809?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 81881 (base 10) to base 11\nAnswer: 56578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/(-1071) - ((-297)\/(-77))\/9.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807192?\nAnswer: 2, 3, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, p: 7, v: 2}. What is prob of sequence vvss?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1452403 divided by -239.\nAnswer: -6077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22099?\nAnswer: 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -322 + 245. Let a be (-2156)\/x*(-6)\/(-8). Solve a = 5*r - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/28*264\/242.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 - 5*s - 7. Let f be p(3). Suppose -7*w - 203 = -f*w. What is the remainder when 144 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33074737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 6. Let n be a(-6). Suppose -u + n = -6. Is 9\/u*(43 + -1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046944066 to six dps.\nAnswer: -0.004694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 244907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 18 = o, -49488 + 49475 = 5*o - 4*q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77 + -3673de?\nAnswer: -367367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 2. Suppose -b - 2 = -0. Let y(t) = 2. Let j(z) = b*d(z) - 3*y(z). Let q = -2 + 0. Give j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) 1\/11 (b) -4\/5 (c) 4\/7 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229816 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q - 30*q**2 + 0*q**4 + 0 + 0*q**3 - 1\/30*q**5. Let c(o) be the second derivative of 7*o**4\/6 - 8*o. What is c(t(k))?\nAnswer: 56*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 363 + -5?\nAnswer: 35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, -5, -7, -0.1, 1\/831?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n - 26. Give s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*n - 812 + 157 = 0, 0 = -y - 4*n + 137. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-70 - 12)) + (-19 - 0).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1262.3809 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + -3 + -3*sqrt(1088)) + -2)**2.\nAnswer: 576*sqrt(17) + 39204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + 5*(3*sqrt(165)\/sqrt(3))\/(sqrt(5)*-3*-3) + 5.\nAnswer: 5*sqrt(11)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h**2 + 4*h. Let w(p) be the third derivative of -221*p**5\/60 - 17*p**4\/8 - 119*p**2. What is -51*f(c) - 4*w(c)?\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {i: 2, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*f**3\/3 - 132*f**2 + 284*f\/3 + 32 = 0. What is f?\nAnswer: -1\/4, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5465861893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25601202?\nAnswer: 2, 3, 11, 239, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199 + 541 + 119)*(-4 + 0 - 1)*(2*z + z - 5*z)*(-1 - 1 + 0).\nAnswer: -9220*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 374\/35936687 - 2116713164971\/611498665992. Let m = -9\/2836 - s. What is the common denominator of -91\/15 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 13*b + 6. Let x be k(7). What is the tens digit of (152 - -4)\/2 - (x + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*u = -0*f - 30, u = 4. Let j = f - 2. Let t(y) = y**3 - 6*y**2 + 4. Let k be t(6). Solve -5*a = 10, 4*s + 0*s - k*a - 20 = j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -1016\nAnswer: 53\/1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 2:09 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or 1\/9?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 529907659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 73*s + 96725 = 0. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 0. Let g(f) = f**2 + 10*f + 6. Let x be g(-10). Let z(r) = r**2 - 4*r + 3. Let y be z(x). What is the highest common factor of y and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -536*o + 6939. What is a(9)?\nAnswer: 2115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0*s**2 - 2 + s**2 - 2*s**2 - 9*s. Suppose 2*x + f - 10 + 31 = 0, -4*f - 20 = 0. Let h be w(x). Solve -4*l = 3*t + h + 5, -4*l = -5*t - 29 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 5, g: 3, q: 2, u: 1}. What is prob of sequence cu?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h + 3. Suppose 3*s - 4*p + 5 = 0, 0 = 4*s - 3*s - 2*p + 1. Let w be a(s). What is the third derivative of w*i**5 + 0*i**2 - i**2 - 28*i**5 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - -92. Suppose 3*t - b = -d - d, -d + 105 = 5*t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31475, 3\/55, -2\/17 in increasing order.\nAnswer: -31475, -2\/17, 3\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 64*m**2 - 1684*m - 341. Give r(-84).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 22 + 2 = 0. Suppose -4*w - 8 = -2*w, 5*c - 401 = y*w. Suppose 23*d + c = 24*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 1. Let p(j) = -20*j**3 + 28*j + 56. Let y(x) = 8*n(x) + p(x). Find the first derivative of y(f) wrt f.\nAnswer: -12*f**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phjp. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 0.3. Let p = f + 1. Let l = -2 + 3. Which is the second smallest value? (a) l (b) 2\/19 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.059 + 18.059. Let i = c - 18.0028. What is i rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -3, -1\/12, -5.39, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504013588.\nAnswer: 2, 13, 9692569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40432 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 284 = 3*r, r + 4*r - 4*c = -484. Calculate the remainder when (2\/4)\/((-4)\/r) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739490.\nAnswer: 2, 5, 73, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 29679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 937.728 litres in millilitres?\nAnswer: 937728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(36\/(-24)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 - 5*x**4 - 45*x**3 - 3555*x.\nAnswer: -20*x**3 - 60*x**2 - 270*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5445 - -5455. What is the second biggest value in -0.24, 2, j, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19654 + -19645. Let y = -18.6 + 19. Sort j, y, -1, -1\/5 in increasing order.\nAnswer: -1, -1\/5, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 2 (b) -47 (c) 2\/11 (d) 1 (e) 386\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614214239 to the nearest integer?\nAnswer: 24783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1741 + 1744. Let h(u) = u**3 - u**2 - 2*u + 3. Determine h(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133426 years in decades?\nAnswer: 0.0133426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/21)\/((-2)\/(-6)) + 12. Let k(j) = -8*j**3 - 11*j**2 + 23*j - 14. Let y(c) = -3*c**3 - 4*c**2 + 8*c - 5. Calculate w*y(n) - 4*k(n).\nAnswer: -n**3 - 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1297.8813 - 2535.2.\nAnswer: -3833.0813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4160 and 5240768?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174 - -34. Let n = 1042\/5 - c. What is p in 6\/5*p**3 - 4\/5*p**2 + 0 - n*p = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. What is the third derivative of 0*b**3 + 4*b**2 - 2*b**3 + 3*b**o - 5*b**3 wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 1. Suppose -25 = z - w*z + 4*x, 5*z = x + 30. What is the greatest common factor of 45 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5 + 12*r**2 - 21*r**2 - 8*r - r**3 + 0*r**3. Let l be i(-8). Suppose 4*a + 3*j = 6 - 2, l*a - j - 5 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000198943 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -205 - -196. Let n(r) = -r**3 - 8*r**2 + 7*r - 6. Let m be n(g). What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 7*f**2 - 5*f - 7. What is the remainder when a(8) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 100 + 104 = 0. Suppose -n - q + 2671 = p*q, 2*n - 5370 = 4*q. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4092872 divided by 1023218.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -479 + 479 + 35*x**2 - 1267*x**2 - 3921*x**2 to y + l*x + v*x**2 and give v.\nAnswer: -5153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -621278533 divided by 2?\nAnswer: -621278533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -55, -108, -179, -268, -375, -500?\n\"Answer: -9*m**2 - 8*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 51*c - 136. What is w(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - b = -12, 2*y - b - 6 = -4*b. Find the second derivative of 3*j + 2*j**4 + y*j**4 - 7*j wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 5. Suppose -3*y = -2*u - 20, 2*y = -3*u + 36 - z. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 1195*f**2 - 56800*f + 314500.\nAnswer: -5*(f - 5)*(f + 74)*(f + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(2\/7))\/c)**3*c\/c**(1\/9)*(c\/((c\/(c*c\/(c*c*c**6)))\/c)*c)\/c)**(3\/17))**(-26\/7) assuming c is positive.\nAnswer: c**(5330\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 - 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11907010 is divided by 3057.\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5057a4 (base 16) to base 2.\nAnswer: 10100000101011110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 38*l = -3*k + 1953, -2*k = 2*l - 1960. Calculate the remainder when l is divided by 311.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 4392*r - 3*r**4 + 2291*r + 2396*r + 4*r**4 + 4*r**3 to the form v + o*r**4 + q*r + u*r**2 + z*r**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/8 + (-1)\/(-2). Find the second derivative of -4*q**4 + q**4 + q + o*q + 2*q**4 wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -235*b + 5. Let j(n) = -1. Determine -3*j(s) - x(s).\nAnswer: 235*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3 - 140*a**2 - 7*a**2 - 3. Let j(b) = -b + 1241579 - 1241579. Give j(v(w)).\nAnswer: 147*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 322044?\nAnswer: -5\/322044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355494392 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1752 + -1738. Which is the biggest value? (a) 2 (b) k (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(-1*sqrt(13) + -1 - sqrt(13)*2*6))*-3.\nAnswer: -234*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w + 6 = 0. Let f = 9 + w. What is the units digit of 1\/(1*1\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2) - 2*5\/(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 30 + 9*p**2 to o*p**2 + n*p + z and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219640*d**5 + 5567*d**2 + d - 1 wrt d.\nAnswer: 13178400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.522685 millennia?\nAnswer: 35.22685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-3 - 2\/(-1)) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 170 = -1829. Let z = -143 + y. Suppose -7*a = a - z. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1605.625 - 1500.8. Round i to 0 dps.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 5*k - 26. Let m = -114 + 127. Let d be (-1 + 0)*130\/m. What is the smallest common multiple of l(d) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 88008701?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/441960 and -59\/19800?\nAnswer: 72923400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Suppose a - 134 = 4*s, 2*s + 0*a = r*a - 60. Let c be (-72)\/s - 2\/17. What is the greatest common divisor of c and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 * -2.9.\nAnswer: 304.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 916954*d**5 - 3*d**2 - 2086*d - 5087.\nAnswer: 18339080*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 - 108. Let o = -50 + m. Suppose -3*z - o*h + 301 = 0, 5*h + 515 = 6*z - z. Calculate the highest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = -4*y, -2*c - 9 + 0 = 5*y. Suppose -m = m - 2. Let n(h) = -m + 2 + h + 3. Give n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (0 - 2) + (30 + -71 - -30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-27523)\/4 + 0. Let u = w - -6836. Let s = 2677\/60 + u. Is s not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8 - -45*(-28)\/1008 - (37 - 0).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 6902?\nAnswer: 27608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 3*t + 46*d - 44*d, -5*d - 660 = -5*t. What is the remainder when 2871 is divided by t?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14061985 is divided by 123.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8190220 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 5*d + 4. Let l be r(5). Let q be 3\/12 - 1\/l. Suppose q*o = 3*o - 15. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20130230 (base 4) to base 8.\nAnswer: -103454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53222364 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*n + 2*n. Let a = 11 - n. Suppose 3*w - 9 = 5*c, -3*w + 0 = 3*c - 9. Solve c = -5*r - a*u, -3*r + u = -6*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*2 + 101. Suppose -a = 3*a - v. Suppose i - a - 3 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 5*j**2 - 2*j + 4*j)*(1933*j - 881*j - 941*j) as z*j**2 + k + x*j**3 + a*j and give x.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05188 from -1643067478.\nAnswer: -1643067477.94812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -876.9 + 877. Let y(o) = -o**2 - 14*o + 66. Let c be y(-19). What is the third smallest value in -1, q, c, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2805*b - 29944. Give o(12).\nAnswer: 3716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8885 (base 10) to base 4\nAnswer: -2022311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -24. Let p be (-2 - -6) + -9 + 8. Suppose 61 = -3*i - 0*q + q, 71 = -p*i - q. Is i at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + 32\/14. Suppose q*c - 4*c + 6 = 0. What is the third derivative of 0*z**3 + 6*z**3 - 3*z**c - 3*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 424 by -14175.\nAnswer: -424\/14175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*h - 94 - 118 = 0, 4*h = -3*t - 108. Let m be ((-121)\/(-5))\/(3\/5). Let o = t + m. Which is the second smallest value? (a) o (b) 2\/13 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9 = 2*x - 3*v, 3*x - 4*v = 9. Factor -12*m**4 - 36*m**x - 19*m - 3 - 17*m**2 - 22*m**2 + m.\nAnswer: -3*(m + 1)**2*(2*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/10 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/224)\/(24\/96).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*i + 12. Suppose -3*u + i*d = 5*d - 60, 3*u - 3*d - 42 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 + -6 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 27429935100 to the nearest one million.\nAnswer: 27430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 1703025*s**5 + 102178890*s**4 + 1178336701*s**3 + 3758473140*s**2 - 5762188*s + 2208 = 0.\nAnswer: -46, -8, -6, 1\/1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 28 = -8. Let z be 4\/q*(-4)\/16. Put 4, z, 0 in decreasing order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + 1.11. Let p = x + -0.7. Let w = 0.50022 - p. Round w to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Let m(l) = -4*l**2 + 7*l**j + l**2. Let b(q) = q**2. What is b(m(u))?\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-19 + -2))*12\/30. Which is smaller: r or 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.3 in 3, -0.2, -125\/4, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.5 + 14. Let j = 109.9 - 111.9. What is the nearest to -0.1 in -0.2, j, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + -3233330?\nAnswer: -3300023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8563*i + 171475. What is u(20)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7425 + 1146 = 273*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xahxkchxhxxpccx. What is prob of sequence px?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(50) + 1)**2 - (sqrt(12)\/sqrt(6) + -1)**2) + -2 + sqrt(8)\/(-2*sqrt(64)).\nAnswer: 103*sqrt(2)\/8 + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4460980 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118546406*i**3*n**2 - 3*i**2*n - 15090*i**2 + 2507*i*n**2 wrt i.\nAnswer: -711278436*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382623 is divided by 54618.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 1315*k**2\/4 - 107912*k - 108241.\nAnswer: -(k - 658)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 2406177.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Let n = -0.28 + 2.28. What is the nearest to 1 in g, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612026*t + 305988*t + 306080*t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 83\/2. Let k(v) be the first derivative of -y*v**4 - 1\/2*v - v**3 + 1 - v**2 - 1\/10*v**5. Suppose k(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 12, 2*a + 7 = j - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 28. Suppose 14*i - 15*i - 3 = 0. Let o be 8\/(16\/i + 6). What is x(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4153 + -637. Let o = 3453.84 - y. Let k = o - -62. What is k rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 8 - 23. Suppose -3*d - 189 = -6*n + 3*n, -147 = -2*n - g*d. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 16*u**2 - 12*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 46?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 30*p**2 + 4*p + 1. Calculate s(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 8*u. Let g = -3 + 0. Let o(c) = -3*c**2 - 9*c - 1. Let w(d) = g*o(d) + 4*m(d). Let f(y) = -y + 1. Determine 3*f(k) - w(k).\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13793831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.5, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61492 divided by -4?\nAnswer: -15373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13495.\nAnswer: 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 707 and 12221.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(91) + sqrt(91)*-1))\/(3*sqrt(847)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*o - 7, -4*u = -0*o + 4*o - 20. Let r(z) = 3*z**2 - 21*z + 35. Let c be r(5). Sort u, c, 2 in increasing order.\nAnswer: 2, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*t + 7. What is the least common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 83, -4975, 1 in ascending order.\nAnswer: -4975, -5, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3734?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*q)*(264 + 385 - 230)*(q**2 + 3*q**2 - 6*q**2).\nAnswer: -4190*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 7:48 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l + 5*t + 9, 0 = -4*t. Solve -4*x = 2*j + 16 + 2, -3*j - l*x - 25 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + -106. Factor -6*o + 8 - n + o**3 - 9 + o**2 - 2*o.\nAnswer: (o - 3)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 178. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/68 and 53\/142?\nAnswer: 4828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(114))\/sqrt(2))\/(sqrt(24)\/(1*sqrt(2))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 14457125?\nAnswer: -14457123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a**3\/4 - 1857*a**2\/4 - 3501*a\/2 + 538.\nAnswer: (a - 269)*(a + 4)*(7*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*g = 77*g + 2*k - 186 + 42, -k = 2*g - 78 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3064 by -766.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -956, -2645, -5064, -8213, -12092?\n\"Answer: -365*t**2 - 594*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -131*f - 20*f + 1 - 1 + 0. Let v(c) = c**2. Determine v(j(t)).\nAnswer: 22801*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**3 - 2*n**3 + 5*n**3)*(-130 - 358 - 372 - 101 + 57) to the form m*n**3 + g + y*n**2 + h*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((244\/(-183))\/((-20)\/(-6)))\/(4\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -33*x + 6. Let t be l(3). Let f = t - -96. Is (2 + 82\/f)*(0 - -3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 2*p - 1. Let g(x) = -20*x**2 + 7*x + 4. Let j(s) = g(s) + 5*h(s). Let i(t) = -14*t**2 - 2*t. Let m = 1074 - 1076. Calculate m*j(q) + 3*i(q).\nAnswer: -12*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from kaaci?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:36 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 68, 78, 92, 110?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 3}. What is prob of sequence zccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3 - 3261*i - 5050 wrt i.\nAnswer: 6*i**2 - 3261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*y + 47*y**2 - 9*y - 20*y + 320*y**3 - 14*y wrt y?\nAnswer: 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42267372 divided by 7.\nAnswer: -6038196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -2*t**7\/7 - 7*t**5\/20 + 175*t**4\/6 + 4*t**2 - 1369*t. Find the third derivative of j(d) wrt d.\nAnswer: -720*d**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4032 and 294.\nAnswer: 28224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293676224 rounded to the nearest one hundred thousand?\nAnswer: -1293700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 7*n**3 - 3*n**3 - 5*n**3)*(-2*n - n**2 + 2*n).\nAnswer: n**5 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 334732523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 1 + 6 + 5*x)*(65*x - 113*x - 84*x + (0 + 0 + 2)*(x + 3*x - 2*x)).\nAnswer: -128*x**2 - 640*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.776636 micrograms in tonnes?\nAnswer: 0.000000000006776636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**6\/150 - 2*q**5\/75 + q**4\/30 - q**2\/2 - 7. Let v(g) be the second derivative of a(g). Factor v(x).\nAnswer: 4*x*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517670 divided by -56210?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 34*d**2 + 2*d - 30. Calculate c(-3).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 33619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(112))*-4 + sqrt(112) - sqrt(112)*-2*5 - (6*(2 + sqrt(112)) + -2 + sqrt(112) + 2 + sqrt(112) + sqrt(112) + sqrt(112)))**2*-1.\nAnswer: -1264 - 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**9\/15120 - l**8\/6720 + l**4\/8 - l**2. Let j(i) be the second derivative of t(i). Suppose j(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459838 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 - 136511*z**3\/2 - 136513*z**2.\nAnswer: z**2*(z - 136513)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8362, 33471, 75314, 133885, 209178, 301187?\nAnswer: 409906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*(36\/28 + -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1608)\/132)\/(2\/(-22)) is divided by 52.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = 0, -4*v = -4*c + c - 29. Suppose d = 3*q - 32, 39 = v*q + 3*d - 5. What is the greatest common factor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3536 - -1.4536. Which is the fifth smallest value? (a) l (b) 62\/19 (c) 1 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 9447 = -9366 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -214*w - 639227. Let b(l) = -l. Calculate b(u(q)).\nAnswer: 214*q + 639227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -65512099545217?\nAnswer: -65512099545217.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168390?\nAnswer: 2, 3, 5, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 1459095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*s**3 - 198*s**2 + 198*s**2)*(-4 - 2 + 3)*(-s - 11*s + 3*s).\nAnswer: 945*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2889893, -2889840, -2889751, -2889626, -2889465, -2889268?\n\"Answer: 18*y**2 - y - 2889910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3, 6, 4.\nAnswer: -4, -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 30*b + 12. Calculate g(-22).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -0.47. Let z = 1.98 + 0.02. Let w be ((-276)\/28)\/(-3) - 3. Which is the closest to z? (a) w (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*1 + sqrt(19))**2 + -1 + sqrt(475) + -1.\nAnswer: 5*sqrt(19) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -6. Let q be 2\/k + 64\/24. Suppose 0 = 4*s - 16, q*s - 105 = -0*m - m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2458, 4, -1518 in decreasing order.\nAnswer: 4, -1518, -2458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 2\/23 (c) 3 (d) -5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 6}. What is prob of picking 4 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, z: 1, j: 8}. Give prob of sequence cc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 216, 634, 1146, 1752, 2452?\n\"Answer: 47*f**2 + 277*f - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7391\/4 - -1857. Let z = 178 + 1798. Let l = -25667\/13 + z. Calculate the common denominator of l and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1100002*c - 41. Let g be b(-19). Suppose -d - n = g, -80694831 + 17994834 = 3*d + n. Round d to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-208)\/(-91))\/((-1)\/(21\/(-6))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 + 42. Let h = -154 + w. Let i = h + -70. Which is the smallest value? (a) 3\/5 (b) 0.5 (c) 1\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u**5 - 1519*u**4\/2 + 29315*u**3\/4 + 6570*u**2 - 6587*u\/4 - 221\/2 = 0. Calculate u.\nAnswer: -1, -1\/18, 1\/4, 17, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-160)\/(-24)*12\/(-32)*-2. Which is the biggest value? (a) f (b) -11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479*q + 191*q - 2081 - 39915 = -246 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g + 1. Let u = -15 + 35. Suppose -m - u = 4*m. Let c(w) be the first derivative of w**3 + 2*w**2 + 5*w - 12. What is m*d(o) + c(o)?\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16504?\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1897, 1606, 1315?\n\"Answer: -291*k + 2188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2388, -2389, -2390?\n\"Answer: -m - 2387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3792.1799 - -3792. What is w rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r*r*r**(-11))\/((r*((r**(3\/7)*r)\/r)\/r)\/(r\/r**(1\/10)*r)) assuming r is positive.\nAnswer: r**(-177\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 4*n + 10. Let r be l(12). Suppose -7*v = 3*f - 2*v - r, -2*f + v + 126 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2 - m - 2*m - 4 - 1. Let s(k) = k + 3. Let b(l) = l**2 - 5*l - 4. Let g be b(3). Determine g*s(t) - 4*x(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 5 - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 - 245.6. Which is the nearest to 5\/2? (a) -2\/5 (b) -5 (c) 2\/3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 5)*(15*m**3 - 6*m**3 - m**3).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1854230 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*m + 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1562*i + 266*i - 203*i)*(-2*i + 0 + 0 + i + 0*i - 3*i + 3 + i - 3 + i + 1 - 1 + (i + 0*i - 2*i)*(2 - 1 - 3) - 2*i + 5*i - i).\nAnswer: 3250*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2*-68*(-93)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26733 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 341776600 to the nearest one hundred thousand.\nAnswer: 341800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + (-371)\/(-63))*6 - -1. Let z = -8780\/19 - -462. Which is the nearest to -2\/7? (a) v (b) 3\/4 (c) z (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2834000 and 53846.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/12 and 5 - (1244\/320)\/1.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5\/7))\/(d**15\/d) assuming d is positive.\nAnswer: d**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.93 + -0.07. Let d = b - -4.000035. Round d to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 107. Is b bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006079757 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i - 14 + 14)*(-2*i + 0*i - 3*i) to v*i + a*i**2 + g and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -23, -57, 5, -102, 3 in decreasing order.\nAnswer: 5, 3, -7, -23, -57, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1 + 1 - 2*z**2. Let x be ((-140)\/(-30))\/((-6)\/(-9)) - -6. Let v(a) = -27*a + 9*a + x*a + 9*a. What is h(v(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x - 2. Let r be (44\/(-77))\/((-2)\/(-7)). Let o be i(r). Suppose o*w - 144 = -4*w. Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahayaos. Give prob of picking 1 y and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5640 and 300?\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*g + 9. Let s = 3 - g. Suppose 0 = h - 3*r - 0*r - 18, -4*h + 57 = 3*r. Calculate the greatest common factor of s and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*n + 2\/9*n**2 + 0 = 0. Calculate n.\nAnswer: 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**3 - 7*u**2 - 7*u + 7. Let y(n) = -4*n**3 + 5*n**2 + 5*n - 5. Suppose -2*m - 20 = -2*s, -5*s - 3*m = -2*s. Determine s*l(w) + 7*y(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14847247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n - 6*n)*(243*n - n**4 - 243*n).\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -30.\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 523?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 6*z**3 + 0*z + 5*z**2 + 3*z + 0*z**3 - 2*z**3 + 2 as x*z**2 + h*z**3 + u + j*z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -557, -605, -693, -827, -1013, -1257?\n\"Answer: -l**3 - 14*l**2 + l - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*j**4 - 491*j - 38*j**4 + 202*j + 22*j**4 + 354*j**5 wrt j.\nAnswer: 7080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4.4611, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 38839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -426, -610, -792, -972, -1150, -1326?\nAnswer: -1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-99)*9\/60*8.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.579 + -9.579. What is the nearest to -9 in r, 5\/2, -1.4, 4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-6)*6\/4. Let b = -2 + j. Solve 5*o - b*z - 1 - 19 = 0, -3*o + 13 = -2*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbuxxgxkssxk. Give prob of picking 1 u and 1 k.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -190?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1271365 - -725165. What is d rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.68 - 4.68. Let t = -7 + 6.4. Let m = t + -1.4. Put i, m, 2 in descending order.\nAnswer: 2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-27586 - -1)) + 290 + -293.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 8:41 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1358041*h - 1358041*h - 2578*h**2.\nAnswer: -2578*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22\/373 - 24377\/2238. Let v = u - -1649\/150. Is v smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*d = -1419 + 179 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15634841461197892037\/6080186 + 43714502237405\/17. Let b = n - 57\/25547. Let v = b - -3279. Calculate the common denominator of v and 91\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -7766.\nAnswer: -255\/7766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/2 + 30\/20. Solve 3*d + g*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 31\/65, 3\/4, 4, -0.4, 2\/3, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15939139.75 to the nearest one hundred.\nAnswer: -15939100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.179*-5\nAnswer: 0.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2057))**2*4.\nAnswer: -176*sqrt(17) + 8244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 - 8. Let c be z(-6). Suppose -3*g = -g - c. Suppose 0 = 3*y - 10 - g. What is the least common multiple of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*(((p\/((p*p**(-4\/5))\/p))\/p)\/p)\/p)*(p*p**23)\/p)\/(p**(1\/21)*p)**(-33) assuming p is positive.\nAnswer: p**(2092\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*l**5 - 1294*l**3 + 1294*l**3 - l**5 - l**5 + 0*l**5 + (-l + l + 2*l**2)*(-3*l**3 + 0*l**3 + 5*l**3).\nAnswer: -36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/8*(-16 + 8 + (-1144)\/(-144))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:39 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13804302, 13804402, 13804500, 13804596?\n\"Answer: -j**2 + 103*j + 13804200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -13963\/20 and 4\/61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 295*p - 1. Let g be s(1). Suppose 0 = -3*c + o - 6*o - 3, 3*o = 5*c - 29. Suppose -1786 + g = -c*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 22 = 5*l, -2*l - 14 = n + 17. Let i = n - -34. Let x(f) = -4 + f**3 + 4*f**2 + 3*f - 3*f. What is x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*n**2 - 175*n**2 - 31*n**2 + 114*n**5 - 315*n**5 wrt n.\nAnswer: -12060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 1. Let l(n) be the first derivative of 7*n**2\/2 - 391. Calculate u(l(j)).\nAnswer: 147*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1731156365.654 - -0.2\nAnswer: -1731156365.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 33*q - 7*q + 17*q = 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -191, -5766, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + -0.8. Let h = 9 + -13. Let r = o - h. Which is the second biggest value? (a) r (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.927 + 41. Round m to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 37) + 0 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -6\/7, 3, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(110)\/sqrt(2))\/sqrt(11) + (sqrt(405))**2 - (-1*(sqrt(5) + -1)**2 + -2).\nAnswer: -2*sqrt(5) + 413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77)*1 - sqrt(77))))))\/sqrt(11) + 5 + ((6*2*sqrt(84))\/(sqrt(192)*-5))**2.\nAnswer: 188\/25 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7*(10710\/(-1323) + -12*2\/(-3))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -24. Suppose u = s - 9. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -650 - -1157. Suppose -189 = -6*y + t. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*780\/104.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = -9*g - 159 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-4\/31)\/((l\/l**3*l)\/l*l**(-1\/4)*l*l) assuming l is positive.\nAnswer: l**(47\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 16*b - 20. Let m be p(17). Let j = -20 - m. Suppose 125 = 3*z + j. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -15. Let j be 742\/(-91) + (-4)\/(-26). Let i = n - j. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 + -110. Suppose -23 = 2*j - w. Suppose -2*b - b + j = 0. Calculate the highest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 252*o**2 + 394*o**2 + 185*o**2 + 13 - 28 + 13 to the form h*o**2 + y*o + q and give h.\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 227*f**2 - 12539*f - 123. Determine m(132).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*w - 10 = 166 + 100 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 - 20*k**4 - 44*k**3 - 34*k**2 - k + 6 = 0. Calculate k.\nAnswer: -3, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10\/11)\/x*x**(-3\/4))**12 assuming x is positive.\nAnswer: x**(-351\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4737 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458)*-2)\/(sqrt(294)*-2) + -3.\nAnswer: -3 + 9*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/33 - 4\/6. Suppose s - 162 = -r*s. Suppose 0 = 3*p - 9 - 18. What is the greatest common divisor of s and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:00 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:23 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20542050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -243237 * 0.2\nAnswer: -48647.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 459, 689, 919, 1149, 1379?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -242 - -254. Calculate the greatest common divisor of f and 900.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h - 3. Let w = 560 - 539. Let p be 5*(-9)\/15*-1. Suppose -5*m = p*l + w, 4*m + 4*l = -16 - 4. Give f(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0598401 rounded to three dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*o + 152, -n - n = -o - 68. Suppose -3*d + d = -n. Suppose l - 5*x = -18, 4*l = -0*l - 2*x + d. Solve -m + 1 = -l*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.5. Let s be (-2)\/(-4) - (-18)\/(-4). Let v = 3 - 2. Which is the nearest to v? (a) z (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20603796 less than -0.28?\nAnswer: 20603795.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 10*q + 3. Let j be (-3*5\/(-12))\/(3\/24). Let h be k(j). Suppose 5*l + 5*u = 4585, -l + 964 - 39 = h*u. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 - -0.3. Let s be (9\/12*-2)\/(2 - 1). Sort z, s, -0.1 in descending order.\nAnswer: z, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 23*n - 27*n + 2263. Calculate the remainder when n is divided by ((1 - 20) + 0)*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -245*o + 2910. What is f(12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:53 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.011*695072\nAnswer: -7645.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at least as big as -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*s - w, -2*s - 6 = -6*s + 5*w. Let b(n) be the first derivative of n**3\/3 + 5*n**2\/2 - 6*n + 1. Let m be b(-6). Solve -s*v + v = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.12 (b) 6 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49786 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 p, and 1 i when four letters picked without replacement from oiiooxopxouhxxp?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -78, -173, -316, -513, -770?\n\"Answer: -l**3 - 15*l**2 - l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24621e (base 15) to base 12\nAnswer: 70010b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71456 and 196?\nAnswer: 500192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 11 (b) 1\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 59. Let k = x + -37. Let b = -113 + 120. What is the second smallest value in k, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191148217 to the power of 1\/2, to the nearest integer?\nAnswer: 13826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2656*m - 2626*m + 540 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 109*a**2 - 10 + 2*a**3 + 504*a**2 + 22 to v*a + j + f*a**3 + u*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.151, -1\/34, -0.4?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -523, -50\/3 in descending order.\nAnswer: -4, -50\/3, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1330 and 102942.\nAnswer: 514710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -80. Which is smaller: b or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 264 - 280.82. Let y = 17 + t. Let c = -0.179987 + y. What is c rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3266905241.\nAnswer: 3266905241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g**2 - 5*g**2 - 14*g**2)*(-2 - 1 + 2)*(-3 + 2 + 0)*(2 - 2 + 1) - 6*g**2 - 14*g**2 - g**2.\nAnswer: -55*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 50\/151, -2\/595, 3?\nAnswer: -2\/595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 3*y)*(-4*y + y + 6*y) + (-3*y - y + 5*y)*(-2*y + 0 + 0) - y**2 - 5 + 5 - 3*y**2 - y + y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4237 (b) -1290 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = -663 + 720. Let x(f) be the second derivative of -17\/6*f**g + 0 - 6*f**2 - 17*f. Differentiate x(a) wrt a.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -83817, -83820, -83825, -83832?\n\"Answer: -l**2 - 83816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(45)\/sqrt(3))*6*2)\/(-6*sqrt(180)*4).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-3)*(-81)\/(-54) + 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1546, -1547, -1548, -1549?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 968987, 968974, 968953, 968924, 968887, 968842?\nAnswer: 968789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -3255?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhuuhuull. What is prob of sequence luul?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 8. Let n be z(5). Suppose -5*w + 20 = 0, -w - 4 = j - 3*w. Suppose 5*m - 68 = -j*o, n*o + 2*m - 50 = -2*m. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from yyfyysysfyfsyyysfys.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13155737?\nAnswer: 7, 1879391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-4288) + 848\/1474\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 3*h - 3. Suppose 4*d = 4*g - 16, d = -3*g - d + 2. Calculate k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*a**3 + 181*a + 10239 wrt a.\nAnswer: -69*a**2 + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 67347.1 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119.1 - -0.88.\nAnswer: -118.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:14 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 5. Is y(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -267a + 1b?\nAnswer: -265d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63826c + 3?\nAnswer: 638272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 71\/2 (b) 0.035 (c) 9\/2 (d) 5 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - 1) + (5 - (-10 - -20)) + 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 19*k + 9*k)*(4 + 3 - 5) + 6*k - 5*k + 4*k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (180 - -10) + ((-48)\/(-40))\/((-3)\/(-15)) and 28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 32 = 0. Let k = 14 - z. What is the third derivative of -3*x**2 + 4*x**2 + 3*x**k - 4*x**6 + 2*x**2 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39060.\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/45*(99 + -14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -12. Calculate the remainder when f is divided by (-5)\/(2\/4*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 - (-3)\/(-420)*124. Sort -1\/7, 3, i, -4.\nAnswer: -4, i, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from baabfabb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.13 (b) -3\/4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -4. Suppose -3*h + 2 = d, h + 3*d + 14 = 2*h. Solve 0 = -4*q - o + h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 923180851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -64. Let r(x) be the second derivative of 3*x + 1\/6*x**4 + 0 + g*x**3 + 0*x**2. Let j(d) = d**2. Determine j(r(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:27 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 + 3*m - 271 - 269 + 796.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 3. Let n be c(5). Suppose 2*s = -2, 3*t = 5*s + 32 - 30. Sort n, 2, 0.3, t in decreasing order.\nAnswer: 2, 0.3, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nee when three letters picked without replacement from {n: 4, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**4 - 520*o**3 + 7276*o**2 - 22736*o + 20592 = 0?\nAnswer: -143, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.1. Let l = -11 + 10.9. Which is the biggest value? (a) j (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let q(c) be the third derivative of 0 + 0*c + 3\/8*c**4 + 0*c**3 - 13*c**2. Calculate q(d(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -113*o**2 + 2145*o + 80. Let x be k(19). Put 0, x, -5 in decreasing order.\nAnswer: x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 45, 1\/2, 2\/83, -0.3, 0.2 in decreasing order.\nAnswer: 45, 1\/2, 0.2, 2\/83, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s = -41*s - 10. Suppose 260 = 3*g + 2*d, -s*d + 250 = 3*g + 2*d. What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m + 107 = -28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*i + 52, -3*m - i + 3 = -38. What is the remainder when 11 is divided by (m\/(-8))\/(17\/(-68))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21788\/44 - 1 - (-16)\/(-88) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-1 - -1) - (76 + -81)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - (-4 - 118\/(-40)). Determine g, given that -2*g**4 + 6\/5*g - 6\/5*g**3 - s + 14\/5*g**2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 3. Let v(f) = 2. Let p(k) = -2*q(k) + 3*v(k). Let r(l) = -l**2 + 2*l. Let j(n) = -2*n**2 + 3*n. Let c(o) = -2*j(o) + 3*r(o). Give c(p(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/22 + (-988)\/1320 and 49\/22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2800 and 300?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 b when four letters picked without replacement from {w: 2, o: 2, b: 4, k: 8}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278140.\nAnswer: 2, 5, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -433\/5 + 451\/5. Factor 2\/5*g**3 + 0*g + 0*g**2 + k*g**5 + 12\/5*g**4 + 0.\nAnswer: 2*g**3*(3*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13139687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1411\/620 - -4\/155. Let h(y) = -3*y + 1. Let d(r) = 16*r - 5. Let k(p) = 2*d(p) + 11*h(p). Let b be k(4). Which is bigger: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -972*p**4 + 9*p**2 + 113*p.\nAnswer: -23328*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301068 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -3*k + 2*s - 4*s, -5*s = -15. Let u = -32 - k. Let x = -23 + u. Solve x*f = 6*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + q**4 + q**4 + (-2*q + q + 2*q)*(0 + 0 - q**3) + 3*q**4 - 6*q + 6*q + (5*q**2 - 5*q**2 + 3*q**4)*(1 - 2 + 3).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 23 = -4*k. Let q(f) = -917*f + 198. Let n be q(0). Calculate the greatest common factor of n and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 32005794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.062301088 to 4 dps.\nAnswer: -0.0623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62335116 or 62335111?\nAnswer: 62335111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1 - 3 - 2*i + 1. Let y(u) = u - 4. Let p be y(-1). Give n(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -574, -590, -626, -688?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13 = -t, v - 5 + 4 = t. Suppose w = v*w - 30. Solve -5*d = -b - 19, 3*d + 2*b + w = 6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 2*u**3\/3 - 2*u**2 + 2*u - 727. Factor b(q).\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/4)\/((-254782)\/(-50952) + -5).\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - 3. Let n be 1 + 0 - (t - 1). Solve 0 = -4*o - 0*o - n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*h - 0*w - 13, -2*w = -5*h - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.4 + 43.1. Let j = 6.5 - h. Let u = j + 45.92. What is the third biggest value in u, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*119\/51)\/(15\/6)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1244 + -1177. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by -9160?\nAnswer: 97\/4580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -46*v - 1. Let x(w) = 13*w**2 - 2. Let p(r) = -20*r**2 + 3. Let z(s) = -2*p(s) - 3*x(s). Give t(z(l)).\nAnswer: -46*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 2, q: 4}. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35160*a**3 - 12*a**2 - 2 - 35165*a**3 + 16*a**2 to the form p + z*a**2 + v*a + i*a**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*b + 32*b - 39*b = 3, 40*j = 4*b - 260 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i + 10 = 88*i + 5*k, 33*k - 210 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1917*t + 12870 = 1950*t. Is 30 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -11 (b) -3 (c) 4374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = 4*h, 3*k = 5*h - 0 + 13. Let f(m) = -6*m**3 - 4*m**2 + 5*m**3 - m**2 - 2 + 4. Let i be f(-5). Put i, -3, k in decreasing order.\nAnswer: i, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14700 + 14699.4968. Round q to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -2022210220?\nAnswer: 2022210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -0.4, 1057.204?\nAnswer: 1057.204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4068 divided by -4.\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -754.86*0.4\nAnswer: -301.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**7)**37*(j\/(j\/(j\/(j\/j**(-11\/4))*j))*j)**49 assuming j is positive.\nAnswer: j**(-1035\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17584349 to the nearest integer?\nAnswer: 4193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 13*k - 2. What is a(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (186 - 210 - (16 + -3 + -3)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f + 3*z, 4*z + 2 = -2. Suppose -f*o - 4*a + 11 = 0, o - 2*a + 9 = -0*o. What is the nearest to o in 5, -2, 1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**3 - 31*o**3 + 13*o**3 + 8*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/2 + 12295*p**2 - 74048534*p - 18967427052 = 0.\nAnswer: -246, 12418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -26*y + 28*y - 12, 3*y - 5*i + 1 = 0. Put y, 7, 10 in ascending order.\nAnswer: y, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, q: 11, o: 2}. What is prob of picking 2 o and 2 q?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30032 (base 5) to base 6.\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kujv when four letters picked without replacement from {k: 3, v: 1, e: 2, n: 1, j: 3, u: 3}.\nAnswer: 9\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204*x - 144*x**5 - 6 + 5 - 111*x + 6*x**5 - 165*x**5 wrt x?\nAnswer: -6060*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 18*d + 80. Let m be h(7). Solve -m*f = 96 - 102 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 + -4b?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20424 - -2355413?\nAnswer: 2334545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j**2 - j - 6. Give m(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/((i**(-1\/3)\/i)\/i))\/i*i))\/i)**(-20))**(1\/72) assuming i is positive.\nAnswer: i**(25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -111, 1.\nAnswer: -111, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 17*n - 28*n**2 + 73*n**2 + 33 + 31*n + n. List the prime factors of j(46).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10320134 (base 5) to base 16\nAnswer: 15ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -222?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 8\/7, 0.03, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + r - 920. What is the highest common divisor of r and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.85047407 rounded to 3 dps?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 1036815.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 2. Let t be v(4). Is t not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3407339*m**5 - 12*m**4 + 2031858*m**2 + 10.\nAnswer: -204440340*m**2 - 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/13, 13013, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 + 209 - (2 - (-1 - -10)) - 29?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -181*b + 353.\nAnswer: -181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 2\/7, -40.94, -5, -0.8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -1548?\nAnswer: 18576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*(-17)\/((-7548)\/32).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-8)\/160)\/((-21)\/(-28))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 26 = -4*n, 0 = h + 3*h - 4. Let a = 12 - n. Solve 8 - 33 = -a*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010151553 rounded to 4 decimal places?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - u - 25. Calculate q(-6).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22171\/15 + 1476. Let l = 1060\/3 + -1757\/5. Calculate the common denominator of s and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**5 - 1\/30*g**6 + 0*g**4 + 16*g**2 + 0 + 55\/6*g**3 + 173*g. Differentiate b(o) wrt o.\nAnswer: -4*o**3 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -135 (b) -3 (c) 3\/88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frssrf. Give prob of picking 2 r and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.112 + 0.188. What is the biggest value in -10\/9, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 250710 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 + 160 = -5*l. Calculate the highest common divisor of l and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1499698704 rounded to 4 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -23316001?\nAnswer: 23315999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -x + 168. Let d = x - -7. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -258 - -791\/3. Find the common denominator of -47\/3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igipipipppig. What is prob of picking 3 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 41 = 4*h, 3*d - 3*h + 2*h = -11. Let u be ((-20540)\/(-1388))\/d - -3. Let x = -18517\/3123 + u. What is the common denominator of -23\/14 and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30, 6, -2 in ascending order.\nAnswer: -30, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 20. Let l be o(6). Suppose l - 92 = -7*f. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 8684.\nAnswer: 26052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2369 - -2373. Calculate the greatest common factor of 1796 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57502592 less than 1?\nAnswer: -57502591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 51 = -58. Is 3897 + (-14)\/(-7) - (r - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1222)\/104 - -12)*(8 - 244)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 25 = -b, 4*b = b - 4*q - 5. Suppose 11*k = 6*k - b*k. Solve k = -3*f + 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {l: 2, d: 1, f: 4, i: 2, z: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-108)\/16)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 200*m - 2000.\nAnswer: -5*(m - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5090106, -10180213, -15270320, -20360427?\nAnswer: -25450534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (48 + 1)*3. Calculate the greatest common factor of 60 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 - 2 = 0. Let x = s - 1. Let o(k) = -2 + 2 - k - k - x. Calculate o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 340 = 58*g, -149 + 99 + 35 = 2*g - z - 29 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11377*p + 20121*p + 80694*p + 113284*p - 19982*p.\nAnswer: 182740*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-120)\/27)*(-5)\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, 1 in decreasing order.\nAnswer: 11, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 212\/7, -1\/4, 22, -5, 0.2 in decreasing order.\nAnswer: 212\/7, 22, 0.2, -1\/4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 480 + 468 = 4*a, 5*a - 4*n = 21. Let b(g) = -g. Let s(i) = i**2 - 4*i. Calculate a*s(t) - 4*b(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -2*sqrt(143)*4)*-1*-3)\/(2*((-2*sqrt(132))\/sqrt(12) - (sqrt(1584) - (sqrt(1584) + sqrt(1584)*1 + sqrt(1584))))).\nAnswer: -21*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/7 - 1443*k**3\/7 + 5811*k**2\/7 - 4365*k\/7 = 0. Calculate k.\nAnswer: -485, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5817 - -127899\/22. What is the common denominator of p and ((-5)\/(-90))\/((-3)\/339)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpwq when four letters picked without replacement from dywqp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -281\nAnswer: 63\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 - 2*z**2 + 5*z**2)*(-z - 3*z + 2*z) + (-397 + 397 - 11*z)*(-4*z + 3*z - z)*(z - 5*z - z).\nAnswer: -108*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*5*(-3*sqrt(108) - sqrt(108))*3)**2 + -4.\nAnswer: 242999996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1443, -4, -0.1?\nAnswer: 1443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1261 or 1262?\nAnswer: 1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 7*k - 7*k. Let z(p) = 16*p**2. Give z(d(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 - (-52)\/14. Let m = 541 - 505. Calculate the highest common factor of q and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-264)*30*1*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2851*d - 7570. What is the ten thousands digit of v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -458216*z**3 - 178221 wrt z?\nAnswer: -1374648*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39999 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4209158 is divided by 350761.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 254, 502, 746, 986, 1222, 1454, 1682?\n\"Answer: -2*f**2 + 254*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 68. Let k be q(11). Suppose k*c = 35*c - 78. Which is smaller: 8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 14 = 3*x - 21, 2*a - 9 = 5*x. Let k = 3 - 0. Let v(c) = 1 - 2*c**3 + c**2 + 5*c**3 - 2*c + k*c. Determine v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8151.3 times -0.1?\nAnswer: 815.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-9\/5)\/(h\/(h*h**(-1\/3))*h*h**(1\/2)*h))\/((h**(-1\/3))**(3\/5)*h\/(h*h**(1\/4)*h)*h*h\/h**(-1\/3)) assuming h is positive.\nAnswer: h**(-223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 + 2*o - 1. Let i be h(3). Suppose -192 = -i*a - 2. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from zuuuttzzuu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijccrcjctrzzzi. Give prob of picking 1 j, 1 r, and 1 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52054, 40414, 28774, 17134, 5494, -6146?\n\"Answer: -11640*t + 63694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.5 (c) -107\/4 (d) 61\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -440*s**3 - 2 - 2084*s**4 - 12*s**2 + 2088*s**4 + 9*s**2 in the form z + c*s + w*s**2 + d*s**3 + t*s**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -93189 at least as big as -94543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*k = -22, 5*k - 26 = i + 3*i. Let g be -1 + 6 - ((-16)\/i - 2). Is g\/(-2)*(-460)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5855 + -2850. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7932190 and 12?\nAnswer: 47593140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6242672631*j**3 + 12485345271*j**3 - 6242672642*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638721016 + 3*g**2 + 319360521 + 319360495.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 - 8 + 0*x + 22 - 3*x + 66*x**2 wrt x.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8652 and 468.\nAnswer: 337428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*b + 6 = 0, -3*o - 37*b + 38*b = -2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1197136 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = 20 + 57 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77e83 (base 15) to base 2.\nAnswer: -1011101000101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 419 + 214 - 5*j + 12*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 - 49*s**3 + 22*s**3 + 13*s**3 + 11*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2634, -2, 6, 55 in ascending order.\nAnswer: -2, 6, 55, 2634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.417834 to three dps.\nAnswer: 0.418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -16*s - 221 - 165 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21c8 (base 13) to base 7\nAnswer: -16532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.91 - 907767529.\nAnswer: -907767498.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2396, -4774, -7152, -9530, -11908?\nAnswer: -14286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, c: 1, k: 3, e: 2, q: 4, t: 2}. Give prob of picking 1 e and 1 f.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*-9*((-850)\/(-153))\/25?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 + 2416*m**4 - 4812*m**3 - 2416*m**2 + 4816*m = 0?\nAnswer: -1, 0, 1, 2, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:48 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6573000*a**3 + 2*a**2 - 9*a + 7. Let u be y(1). What is u rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -96*y**2. Let p(m) = 2*m - 6. Let u(n) = -n**2 - 17*n - 66. Let l be u(-5). Let o(z) = z - 2. Let i(d) = l*o(d) + 2*p(d). Calculate i(h(g)).\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3153.\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 - 3*s - 2. Let q = 6 + -5. Let p be (4 - 1\/1)*q. Let i be x(p). Calculate the highest common factor of 35 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17855 + -53549\/3. What is the third biggest value in -2, 0, 5, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*l - 3*l. Suppose n - l*n = -3*c - 70, 100 = -5*c + 5*n. Let u = c + 105. What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323909723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1568 + 2273. What is the greatest common divisor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -83. Is -9.3 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1264, -1280, -1310, -1360, -1436, -1544, -1690?\n\"Answer: -p**3 - p**2 - 6*p - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 50, 3 in decreasing order.\nAnswer: 50, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - -185. What is the remainder when z is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljllj. Give prob of picking 2 j and 2 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139 and 11.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 7154\nAnswer: -2861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**8\/21 + 31*s**4\/24 + 16*s**2 + 34*s. Let h(w) be the first derivative of u(w). Find the second derivative of h(n) wrt n.\nAnswer: -320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b5808a (base 12) to base 13.\nAnswer: 78c511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 40. Let t(a) = a**3 - 4*a**2 - 5*a - 7. Let d be t(6). Suppose -5*u + 5*k - d = 0, 0*u + 4*u - 2*k = -20. Sort j, u, 3 in decreasing order.\nAnswer: 3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4544*b - 4544*b - 368*b**2 in the form t + g*b + x*b**2 and give x.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14*m**3 - 7. Let z(t) = t**3 - 1. Give -k(a) + 6*z(a).\nAnswer: -8*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102091589335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*w - 5*w - 105*w)*(2*w - w - 2*w).\nAnswer: 80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - 4*r**2 + 5*r**2 - r**3 - 1 as u + s*r**3 + a*r + b*r**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4876 and 55522?\nAnswer: 5885332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 7 + 3 - 21 + 6 + 4*n + 1. Determine f(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -11*x - 63. Let o = x + 49. What is the highest common divisor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - 86) + (-6 - -3 - -4) + 9 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*w + 14, -2*m + w + 27 + 45 = 0. Let d = 39 - m. Let o = -13 - -19. What is the lowest common multiple of o and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/12 - 4)*-24. Suppose 135 = 3*r - 0*r. Let j be g\/(-65) - (-18)\/r. Which is the closest to 1? (a) -1\/7 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3130884 is divided by 1531?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -74*p**3 + 6*p**2 - 57*p - 310. Is h(-7) a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.704 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = -12. Suppose h - 2 = -5, -3*t + 9 = -v*h. Let n(q) = -q**2 + 5. What are the prime factors of n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8870*s - 3337. Is p(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.12. Let x = 0.01 - g. Let q = 26.85 + -26.35. Which is the smallest value? (a) x (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*c)*(0*c**2 + c**2 - 4*c**2) + (0*c**2 - 3*c**2 + 2*c**2)*(4*c + 3*c - 5*c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*c = -8, -4*c = 2*l - 4*l + 28776 - 28774 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = -4*c. Let l be (-3 + 50\/20)*-3246. Let o = l - 1653. Sort -1, c, o in increasing order.\nAnswer: o, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2861*p - 6 = 2858*p. Is 1 - 1962\/(-12)*p a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529189671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -17) + 0 + -4. What is the second derivative of 15*x + 2*x**2 - i*x**2 + 9*x + 12*x**2 wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 816, -7, 8, -23 in increasing order.\nAnswer: -23, -7, 3, 8, 816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**4 - 2566035*p**3 + 138915*p - 509 wrt p.\nAnswer: 60*p**2 - 15396210*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 2. Calculate the least common multiple of c(-6) and (-33)\/(21\/6 + -5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-3)\/63*28\/6. What is the nearest to -0.04 in r, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 180 = -356. Suppose 2 = 4*q - 14. Suppose q*p + g = 6*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13080 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 95*g + 4752. Calculate a(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1501.543 + -0.543. Let v = z - 1501.1. Let a = 0.1 + 0. What is the closest to v in a, 2, -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 16*o - 11. Let l be v(-15). Let f be 2*(-14)\/9 - (1 - l). Which is the nearest to 0.5? (a) 2 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -22\/5 (b) 1 (c) -0.1 (d) -0.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -380, -2, -2\/7.\nAnswer: -380, -2, -2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(19))*-5 + 5 + -4*sqrt(76).\nAnswer: -33*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:49 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 9*z - 10. Let r be x(-10). Suppose -2*g + 25 = -3*l, r*g + l + 10 = g. Solve -3*t - g*n + 3 = 28, -2*n + 11 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, -2\/7, 3468, 3\/8, -7, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -171*z. Let y(u) = 4*u + 12. Let w(l) = 7*l + 20. Let r(t) = -3*w(t) + 5*y(t). Determine a(r(i)).\nAnswer: 171*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -1\/4, 6, 0, -147 in increasing order.\nAnswer: -147, -19, -1\/4, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (1 + 6)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17220?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25212947*u**3 - 5*u + 2074882 wrt u.\nAnswer: 151277682*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tattttawwtttttttw. Give prob of sequence awtt.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 375703 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8972 + 9021.6. Is w > 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -816 - 815 + 1523*w - 272*w + 1631 in the form u + f*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12005.2 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 17*z**4\/2 - 479*z**3\/6 - 3*z + 138. Find the second derivative of o(m) wrt m.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -122. Suppose 0*y - m*c = -2*y - 18, -5*c = -4*y - 16. Let h be (y*13460)\/(4\/2000). What is h rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**2 - 78*t + 7. Let l be 5 - 20\/15*3\/(-2). Give k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 36*f**2 - 41*f + 73. What is the hundreds digit of h(42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -3*5\/30)*12\/(-10). Let 0*f + 3\/5*f**n + 1\/5*f**4 + 0 + 2\/5*f**2 = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 51377695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 23*w + 9646 = 0. What are the prime factors of w?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 5*g - 9. What is the remainder when b(-6) is divided by 17 + (81\/54 - (-1)\/2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55121, -77521, -99921, -122321, -144721?\nAnswer: -167121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 4*p**2 + p**2 - p + 117106 - 117111. Let o(z) = -z**3 + 3*z**2 - 2*z + 3. Let m be o(3). Let g(r) = 2*r**2 - r + 4. Determine m*w(u) - 4*g(u).\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k**2 + 0*k**2)*(1 + 2 - 4)*(5*k - 2*k + 2*k + (2 - 1 + 0)*(2*k + 0*k - 3*k)).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348478161 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/7350*90*(-5340)\/36?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5145 by -3.\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j + 62. Give l(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 5. Suppose -r = 3 - x, -3*r = k + 4. Solve -k*f + 12 = 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 326\/11, 3, -1, 8 in increasing order.\nAnswer: -1, 3, 8, 326\/11, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 8*g + 2457956. Let s = 617956 - g. What is s rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114287*o**3 - 123494.\nAnswer: -342861*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 7*k**2 + 7*k + 3. Let m be t(8). Let c be -1 + 1 + m + 10. Solve 2*b - 3 = c*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a686 (base 14) to base 8.\nAnswer: 544176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 537795 or -2?\nAnswer: 537795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**10\/o*o**(16\/3) assuming o is positive.\nAnswer: o**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4547824.44 to the nearest 10000.\nAnswer: -4550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17637 - 2847 = 71*k + 303*k + 20656 for k.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(17011*s**2 + 11277*s**2 + 18928*s**2 + 20005*s**2 - 7203*s**2).\nAnswer: -120036*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ac6 (base 16) in base 8?\nAnswer: 35306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3451*t = -3442*t. Let m(r) = r**2 - r + 2. Let w be m(2). Suppose t = -3*p - w*p + 798. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10141*6.6.\nAnswer: -66930.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(159\/54 - 3). Is 0 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -107271, -214547, -321821, -429093, -536363, -643631?\n\"Answer: c**2 - 107279*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*p + 3*p + 3*m, 4*m = 3*p - 19. Suppose 3*w = p + 10. Suppose 0 = 2*f - 5*f + w*f. Solve -4*n - 4 = -f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(36\/132 - (-81)\/(-418))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280452 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(104) + sqrt(104))\/sqrt(8) + -4.\nAnswer: -8 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105045263798.8179 + 0.2.\nAnswer: -105045263798.6179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 3 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 7:44 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 960\/35 - (-16)\/28. Let c = l + -20. Suppose -c = 7*f - 99. Solve m = -4*w + f, 3*m + 0 = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/237 in 85, 0, 0.2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120\/7 + 2\/7*d**3 + 6\/7*d**2 - 128\/7*d.\nAnswer: 2*(d - 6)*(d - 1)*(d + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*v = 302*v + 7290. Suppose d - 40 = -d. Calculate the remainder when v is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 9. Let y be o(-10). Let h = 56 - y. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.781 rounded to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.8 in 5, -5, -5\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - a**3 - 3*a**2\/2 - 60*a - 14. Determine l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11448 and 3691656.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18457, 36877, 55263, 73615, 91933, 110217?\nAnswer: 128467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let t(q) = -16*q**2 - 14297. What is x(t(b))?\nAnswer: -32*b**2 - 28594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(121)\/(sqrt(11)*2 + sqrt(11)) + -6*sqrt(176)) + (sqrt(1331) - (sqrt(1331) - -3*sqrt(1331)*1)) + sqrt(1331) + -2*(1 + sqrt(1100)))**2.\nAnswer: 736*sqrt(11) + 372420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*u + 74*u = -23416. Suppose -11*b + 9*b - w + u = 0, 11708 = 4*b + 5*w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j + 82740 = 28*j + 210855. Is j a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15188)\/20 - 3\/5. Let d = w - -1074. List the prime factors of d.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) - (-117)\/15. Let n be 38\/g - (-1)\/4. Solve 0*z + n = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:34 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyukiikykyuyukygyk. What is prob of picking 1 u and 1 g?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 6*v + 3. Let i be p(7). Suppose -5*d = -0*d - i. Suppose -d*k + l + 17 = -2*l, -3*k + l + 43 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292 + 341. Sort 0, x, -5, 1 in increasing order.\nAnswer: -5, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/13))**(19\/3)*o**(-1\/11)*o**(1\/10)*o)**(-25\/3) assuming o is positive.\nAnswer: o**(-17665\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-24)\/20)\/((-81)\/(-30))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9016, 8569, 7826, 6787?\nAnswer: 5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6494, 26058, 58662, 104306, 162990, 234714?\n\"Answer: 6520*a**2 + 4*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 884826.586 + 4.568?\nAnswer: 884831.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8716817299 to the nearest integer?\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 10, o: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(33\/176*18\/27)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 391535763 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + -188. Let v = y + 378. Let i = v + -71. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87660 to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + -36?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/10)\/(v**(-1\/12)*v)*v**6\/v*v**13*v)**1 assuming v is positive.\nAnswer: v**(1091\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469 + 91034716.\nAnswer: 91034247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**2 + 45*v**2 - 26*v**2 - 1124*v**3.\nAnswer: -1124*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8256, -172, -4 in decreasing order.\nAnswer: -4, -172, -8256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4*q + 82202887*l**3*q**2 + 2*l*q**2 + 2*l - 8021*q - 2 wrt l?\nAnswer: -12*l**2*q + 493217322*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*v - 291, 7*v = 5*n + 11*v - 483. What is the least common multiple of n and 1200?\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3633, -3626, -3619, -3612, -3605?\n\"Answer: 7*n - 3640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -5*(-8)\/20. Suppose 6*j - i*q = j + 375, 83 = j + q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000787 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/17 - 304*g - 1479936\/17 = 0. What is g?\nAnswer: -2256, -328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide ((-325)\/(-15))\/(30\/756)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -2*6)\/((-15)\/2145) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -693*t - 17356. Calculate r(-25).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = c + 2*k, -2*c + k = 3*c + 20. Let p = c + 12. Suppose -28 + p = -3*f. What is the highest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-40) - (-93)\/30. Solve o*b - 13 = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**3 + 13*u**3 - 37*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Suppose 10*p + 613 = -587. Does 2 divide a\/10 + p\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*m - 4621 = -108*m + 80*m + 41203 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -74, -0.3?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:16 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - 4*a + (-1 + 0 - 1)*(-2 + 2 + 2*a) - 5*a + 5*a - a)*(5 + 4*a - 5)*(-2*a**3 - 3*a**3 + 3*a**3).\nAnswer: 56*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 49, 105, 183, 283?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 499a712 (base 11) in base 10?\nAnswer: 8681642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 114. Let c = g - 19. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5 - 1 + 3 + 0 + (3 - 2 + 0)*(2 + 3 - 4) - 3 + 6 - 1 + 1 - 2 + 0)*(25*d - 11*d - 11*d)*(-d - 2*d + 6*d).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**3 + x**2 - 9*x + 3. Let l be k(0). Let i(j) = 2*j**3 - 3*j - 5. Let z(b) = 2*b**3 - 4*b - 5. Calculate l*z(v) - 4*i(v).\nAnswer: -2*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + c8188?\nAnswer: c8192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18097 * 0.74186\nAnswer: 13425.44042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 187\/68 + (-1)\/(-4). Suppose z*i - 480 = -3*i. Let m = i - 31. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 + 11532?\nAnswer: 114bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.5, -1\/3, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2 - 8*n - 8. Let m(t) = 19*t**2 + 24*t + 26. Let c(w) = -7*j(w) - 2*m(w). Find h such that c(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1288744 + d?\nAnswer: 1288751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. Let d(c) = -28*c**2 - 6*c + 1. Let o(h) = -6*b(h) - d(h). Let z(f) = -9*f**2 + 2. Determine 2*o(n) + 7*z(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z + 171. Let h be x(9). Suppose -2*i + 1269 = 2*i + l, -i - 4*l = -h. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8439*r + 12641*r - 647*r.\nAnswer: 20433*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 2*b**3 - 6*b**3)*(-2941*b - 2373*b + 2593*b - 2390*b - 812*b).\nAnswer: 11846*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 1. Let d be v(1). Suppose 118 = d*z + 4*k, -3 = -5*z + 2*k + 244. Suppose -a = -2*a + z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021002 + 1110120?\nAnswer: -10210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxvxxxxx. What is prob of picking 1 v and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 379? (a) 2\/9 (b) -5 (c) -7 (d) -0.3 (e) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104384 is divided by 14826.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -10) + (-18 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/7 + 21213*h**3\/7 + 27297*h**2 + 573399*h\/7 + 573480\/7.\nAnswer: -3*(h - 7080)*(h + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183.5 - 183.4. Let n be 56\/90 - (-2)\/(-5). What is the nearest to m in n, -9, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 2*n - 19 + 14, -5*v - 10 = 3*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(675) + sqrt(675)*-1)\/(sqrt(9)*-2*3)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 164, 328, 558, 854, 1216, 1644?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*f**2 + 9*f + 18*f**3 + 4*f - 2*f - 15*f**3 - 2*f**2 in the form p*f**3 + u + k*f + x*f**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 86*d**2 - 68*d + 2899. Give w(-85).\nAnswer: 1454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00108984083 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2042*l + 4858*l + 2468*l + 2351231 - 917927 = 0 for l.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4710.030081 and 8?\nAnswer: 4718.030081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/2 - 2*x**3\/3 + x**2 + 10*x - 9. Let m be p(-3). Calculate the highest common divisor of m and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.61142 - -1.53876. Let t = r - 0.936. What is t rounded to 4 dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + (-2)\/4. Let n = y - 6. List the prime factors of (-9)\/n*(-40)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 16. Let d(j) = -j**2 + 5*j - 2. Let l be d(f). Put l, -3, 1 in increasing order.\nAnswer: -3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 19*o - 24*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60232\/3960 - 6 - 72\/8 and -53\/381.\nAnswer: 62865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: c95a (base 15) to base 12\nAnswer: 207aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -17 (b) -0.138 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953046.\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bzzzbzbzzzzbzzbz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159241.5 + 159242. Let b = -1430\/17 + 84. Sort m, b, 2.4.\nAnswer: b, m, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**3 + 18*g + 13*g**2 + 18 - 4*g**2 - 17*g**3 - 21*g**2 + 24*g**3. Give a(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 127910\/(-35) - 28\/(-49). Is (-29)\/(a\/208768) + (-2)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j = 125093 + 2707. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 980166345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11702664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 2*b + 2. Let c = -8 - -12. Suppose -l + n = -c, 0 = 3*l - 5*l - n + 11. Is w(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/7 (b) -16\/5 (c) 1.03 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(4 + 0 + -3). Let a = -3.65 - -11.65. Sort -0.5, -0.3, u, a.\nAnswer: -0.5, -0.3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*w = 4509 - 21149 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/715585 and -51\/1431170.\nAnswer: 1431170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/34 and 47\/1210?\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q. Let p be 0 - (-4 + 2 - q). Suppose -d - 3*k = -8, p*d - 2*k - 10 = 6. Calculate the lowest common multiple of 14 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20759 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 27*g**2 - 78*g + 3. Let x be m(-6). Is x less than -725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:49 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92109265943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/80)\/(4\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + g - 3. Let p(j) be the first derivative of -j - 268. Calculate -2*p(d) + y(d).\nAnswer: -d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*b - 166*b = 110418. Round b to the nearest 10.\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**40\/(u*u**(-2\/7)\/u)**(1\/5) assuming u is positive.\nAnswer: u**(1402\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -106. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-792)\/(-660)*(-90)\/4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38221.65463 to the nearest integer.\nAnswer: -38222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 25 = i. Let l = -76 - -75. Sort 3, i, 0, l in increasing order.\nAnswer: l, 0, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380 - 4905 + 61*v - 2*v**2 + 196*v.\nAnswer: -2*v**2 + 257*v - 4525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2827 + 2507 = -40*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -48*a + 12*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 2489200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 8 + 4. Sort m, -3, 5 in ascending order.\nAnswer: m, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1095.78 - 10.\nAnswer: 1085.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 13. Let p = b - 4. Suppose p*c = -3*u + 5, u - 2*c + 3 = 1. Solve -s - s - 4 = u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/105 + 31*y**6\/40 - y**4\/6 - y**3\/6 + 10*y**2. Find the second derivative of v(a) wrt a.\nAnswer: 24*a**2 + 558*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*x + 28*x + 15114. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010111001 (base 2) to base 7.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/1648 + -2261\/341136. Do -1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:13 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0*q**3 + 1\/6*q**4 - 21*q**2 + 0*q + 0 + 0*q**5 - 11\/60*q**6. Find the second derivative of z(x) wrt x.\nAnswer: -132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 19. Let q be s(-7). Solve 0 = -3*d - 3, -q*d - 7 = -2*h + 7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 21*l - 8. Let j be a(-12). What is the hundreds digit of (-112)\/(-24)*1284*2\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -42. Suppose 8 = -w - 5*d, 5*d + 0 = 2*w - 14. Let o be 0 + (w - (-56)\/(-36)). What is the third smallest value in o, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 1. Let m be s(-2). Solve l - m*l + 7 = 5*b, 3*b - 3*l = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/12 + 244*f**2 - 2. Let h(m) = m - 10. Give h(c(j)).\nAnswer: -2*j - 10","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.5 (c) 3 (d) -19 (e) 0.53 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 1, f: 2, x: 1}. What is prob of sequence fpx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 2*f - 3*f)*(-3 + 3 - 7*f + (5 - 4 - 2)*(-f + 4*f - f) - 1 + 1 - 2*f) to g*f + r + a*f**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 44 = -3*h + 27, 0 = 3*h - 3*n - 39. Let l = h - -124. List the prime factors of l.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59446154 is divided by 1799.\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 975 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 3. Let q(k) = k**2 - 1. Let v be -3*((-9)\/(-54))\/((-5)\/80*4). Calculate v*n(d) + 6*q(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let s(g) be the third derivative of 0*g**3 + 0*g**4 + 0*g - 1\/5*g**5 - 2*g**2 - 54. What is k(s(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {x: 1, b: 1, a: 1, f: 2, r: 1, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3 - 255*f**2 + 1212*f - 960 = 0.\nAnswer: 1, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 7*z**5\/60 - z**4\/12 - 12*z**2. What is the second derivative of o(i) wrt i?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 330 = 5*c - 370, 0 = n + 3*c - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - l - 3. Let y be b(7). Suppose m + 32 = 5*m. Calculate the greatest common factor of y and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -10*i**2 - 1\/24*i**4 + 0 - 1\/6*i**3 + 0*i. Let r(v) = -3*v - 7. Determine 6*f(g) - r(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 4)\/(-1) + -1. Let d be 304\/684 - 3\/(135\/(-160)). Put h, d, 41 in descending order.\nAnswer: 41, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13255600 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 1. Let z(u) = -u + 1. Determine o(q) + z(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 374*s + 5299. Determine q(358).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkmkkm. What is prob of picking 1 k and 1 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, 5 in ascending order.\nAnswer: -2, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2*1 + sqrt(117) - (sqrt(117) - (1*sqrt(117) + 3)))**2 + (-1*sqrt(117) + 1 + sqrt(117) + 0 + -2)**2)*3.\nAnswer: -54*sqrt(13) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8390462 take away -50?\nAnswer: -8390412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62919227 or -62919236?\nAnswer: -62919236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1328 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13575 and 9?\nAnswer: 40725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 19075.\nAnswer: 78\/19075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (3\/4)\/(2\/(-3624)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-14)\/2)*-1. Let b be 60\/(-25) + 4\/j. Let p be ((-4)\/5)\/(b\/5). Solve -2 = u, 2*u + 13 = -5*m - p*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3374979ng?\nAnswer: 0.0003374979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 7*d**2 - 6*d + 3. Let q be v(6). Suppose -q = 5*s - 18. Suppose 0*p = -s*p - 15. Which is the nearest to -2\/3? (a) 2 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 15*m - 73. Let b(g) = g**2 + 11*g - 37. Let y(a) = 5*b(a) - 3*v(a). Calculate y(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 + 8*b + 6. Let d(n) = n**2 + n - 5. Let o(l) = 1. Let f be (-3)\/9 + (-12)\/(-9). Let s(u) = f*d(u) + 6*o(u). Give j(t) - 5*s(t).\nAnswer: -t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.5, -6, 0.02, 2\/29, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -58.7. Let s = 0.02 + -0.03. Let n = -3.01 - s. Sort n, -5\/4, i.\nAnswer: n, -5\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83445400 to the nearest ten thousand.\nAnswer: -83450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, z: 2}. What is prob of picking 3 d?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 393464953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42129 or 42130?\nAnswer: 42129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-6) - -10)\/(-2 - -1). Let d = -5 + 4. Put 2\/13, d, k, 1\/3 in increasing order.\nAnswer: k, d, 2\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12645 = -8*x + 124468 + 127751. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5173*g + 10384*g + g**2 - 5142*g + g**2 in the form f + r*g**2 + m*g and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6975)\/(-55) - 6\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10081691.\nAnswer: 67, 150473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p**2 - 593232 + 593232.\nAnswer: -43*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19695884741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (68\/1666)\/(2\/(-14)). Which is the second biggest value? (a) 0.43 (b) 3 (c) j (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/5)\/(f\/((f**(2\/23)\/f)\/f)*f) assuming f is positive.\nAnswer: f**(-657\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1, 1.3, -154?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 204 = -16*g. Put 0, g, -5 in decreasing order.\nAnswer: 0, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-15) - 3 - 1624\/(-60). Let -x*o**2 + 22\/3*o - 2\/3 + 32*o**3 = 0. What is o?\nAnswer: 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148770 and 3500.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9963 + 47071. List the prime factors of g.\nAnswer: 2, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3142567*o + o**3 - 1571288*o - 1571279*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) -4 (c) 1\/6 (d) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51691222 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 13.5. Which is the nearest to 0.1? (a) x (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76564793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2014?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 19 = -67. Let b = t - 22. Is b\/(-10)*(223 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341430759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15530, -31058, -46584, -62108, -77630?\nAnswer: -93150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(5\/2))**(-4\/27)\/(r**(-11)\/r*r\/(r*r**(-6\/11))) assuming r is positive.\nAnswer: r**(3248\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*r**3 + 17*r**3 + 4*r**2 - 2*r**2)*(r + 0*r + 2*r).\nAnswer: -36*r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:44 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*k + 228 - 228 to the form b + t*k and give t.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 15. Let x(t) = -2*t**2 - p*t - 4 - t**2 + 2*t**2. Let m = -100 - -96. Determine x(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*t + 81*t - 36*t - 1700 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 0) + -2 - 3) + (1 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 4*g**4 - g**4 + (70*g**2 - 70*g**2 + 10*g**3)*(g - g + 2*g).\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 4\/9, -2, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.21, 0.3, -11.2, -2\/5 in descending order.\nAnswer: 0.3, -2\/5, -3.21, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, 0.08111, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 2*t**2 - 3*t**2 + (t - 4 + 4)*(0 + t + 0) - 6 + 6 + 2*t**2 - 3*t**2 + 2*t**2 - t**2 + (0*t + 0*t + t)*(0 + 0 + 2*t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7402 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcccffffcffcccffcfc. Give prob of picking 1 c and 2 f.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342518 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 12:53 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 14. Let x = y + 0. Suppose x*m + 2*m = o - 11, 3*m = -4*o. Put 4, m, -2 in decreasing order.\nAnswer: 4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 84*h + 485. Determine f(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38748 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 2538.\nAnswer: 3299.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18376800*w + 18376800*w - 2140*w**2.\nAnswer: -2140*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32911505 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10)\/7 - (0 - (-6774435)\/(-105))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8172 * 3.54\nAnswer: 28928.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 817 by 17.\nAnswer: 817\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 + 5*o**5 - 4*o**5 + 9*o**3 + 2*o**2 + (-10*o**3 - 6*o**3 + 23*o**3)*(-o + o + 2*o**2).\nAnswer: 15*o**5 + 9*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -61) + (-1 - 35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 908, -20\/9, 2\/21, 0.\nAnswer: -20\/9, 0, 2\/21, 0.5, 908","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o + 2*o + 4*o)*(58 - 83 - 91).\nAnswer: -1972*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y**3 - 3*y + 3*y - 56*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 4*n - 3. Does 16 divide q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*y + 36, -27*z + 2*y = -28*z + 14. Which is the nearest to -1\/4? (a) z (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133311*a**4 - 100948*a?\nAnswer: -1599732*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4551020 is divided by 10227.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414386059 to the power of 1\/2, to the nearest integer?\nAnswer: 20356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, 12212 in decreasing order.\nAnswer: 12212, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 440 divided by 88\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58.876 + 0.124. Let h = z + -64. What is the third biggest value in -2, 0.2, 0.7, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -34\/7, 2?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**2 + f**2 - 9*f**5 + 7*f**5 + 5*f**5 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28453 - -82718. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t + 122*t**2 - 46*t**2 - 55*t**2 + 46*t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x + 70. Let b = -1 - x. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13. Let n be w\/(-4) + 2 + -148. Let c = 223 + n. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*s - 20*s + 2*p, -4*s = 4*p - 8. Put 2, -1, -6, s in descending order.\nAnswer: 2, -1, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3124.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 50. Suppose 2*g - 5*x = 21, -x = -2*g + 2*x + d. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -490 (base 10) to base 2.\nAnswer: -111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 50 - 23. Suppose -l*o - 1323 = -16*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 2295*z**2 - z - 7052*z**2 - 1.\nAnswer: -4757*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -5174.\nAnswer: -5173.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 211, 406, 659, 970, 1339, 1766?\nAnswer: 2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*r - 38 = 0, -2*b + 5*b + 3*r - 60 = 0. Suppose -13*q = -14*q - b. Let f = q + 78. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 2*k. Let w(h) = -h. Let y(t) = -u(t) - 3*w(t). Let o be -2 + 5\/2 - 7\/14. Let i be y(o). Is 3\/4 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4328 and -69\/241048.\nAnswer: 130406968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1383*q + 1383*q + 8*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3895 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924 is divided by 895.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 25*f + 160. Calculate o(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(19 + y - 15 + 0*y).\nAnswer: 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 6. Let y(h) = -271*h + 110. Let a(j) = 90*j - 37. Let q(b) = -17*a(b) - 6*y(b). Is q(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -230 + 1375\/6. Let v = 2.96 + 0.04. Sort b, v, 2.\nAnswer: b, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6037428 and 2104.\nAnswer: 12074856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 33. Give p(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 2*h**2 - h**3 - 4*h + 8*h + 10 - 2*h - 6*h**4 + 2*h**2 to the form b*h**3 + x*h + g + o*h**2 + f*h**4 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1101120022 (base 3) to base 15\nAnswer: 81ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6921496 months to centuries.\nAnswer: 0.002243458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0, 1\/8, -3 in decreasing order.\nAnswer: 1\/8, 0, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4420?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 - (6 - (5 + 0) - 16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {f: 2, t: 1, v: 1, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 - -161. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {a: 1, g: 10, c: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14954 is divided by 843?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*o**4 + o**3 + 7*o**2 + 38*o wrt o?\nAnswer: -768*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2, v: 5, w: 4, u: 4}. What is prob of sequence wd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - -562. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6471268?\nAnswer: 2, 1617817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 841 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*h - 368, -30*h = -5*q - 29*h + 975. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h - 7. Let o be x(-5). Let z be 2*3\/(-6)*-18. Calculate the greatest common factor of o and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (2 + 5 + (-84 - -76)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 13*w**2 + 8*w - 638. What is q(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -6*l + 4*l - 14, 0 = -d - 3*l - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 93596.17 kilometers?\nAnswer: 93596170000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 1:11 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 325\/30 + 7\/42. Let t be (4 + -2 + -2)\/(-1). Suppose -f = -t*f - w. Solve n - 5*n + f = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/536 and 67\/12.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -627122540 to the nearest 1000000.\nAnswer: -627000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 20 + 380. What is the highest common divisor of p and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -5*x**4\/6 - 17*x**3\/6 - 15*x**2. Suppose 2*w - 17 = w. Let l(y) = -7*y - 6. Determine w*l(g) - 6*k(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose -3*w = -u + 8, 4*w - 6*w - 22 = -4*u. Put -2, s, u in decreasing order.\nAnswer: u, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - x - 14 = 0, -8 = -w + 3*x - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201060485459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 70 = -4*i, -5*i + 42 = 3*x. Suppose -77*q + 84*q - x = 0. Solve 2*y + q*u - 10 = 0, u = 5*y - 0*u - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 77*g. Let y = 127 - 123. Let u(p) = 4*p - 27. Let m(s) = -2*s + 12. Let c(b) = y*u(b) + 9*m(b). What is c(k(z))?\nAnswer: -154*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nynnnnnnynnnnnnnnnnn. What is prob of picking 3 n and 1 y?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*g**2 + 93*g - 93*g - 55*g**2.\nAnswer: -124*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -307, -608, -1089, -1810, -2831, -4212?\nAnswer: -6013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 418 + -210. Let x(i) = -78*i - 3. Let c be x(-1). Let r = c - 49. What is the highest common factor of r and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*c**2 - 2*c + 2*c - 10.\nAnswer: -2*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*1 + sqrt(85) + sqrt(85))*-3 - 2*sqrt(85)*-6)\/(sqrt(320) + -5*sqrt(320)*2).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*i**3 - 28*i**2 = 0. Calculate i.\nAnswer: 0, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312757 and 4216?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 49, 78, 107?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 6. Suppose k + 1 - j = 0. Suppose -2*g + 17 - 4 = -x, -35 = 5*x - 4*g. Which is the smallest value? (a) k (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - i - 11 = -0*a, a - 4 = 2*i. Suppose -5*f - 14 = 1. Let t = 4 + f. Are a and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Suppose 3 = -j - 5. Let y be 0 + (-1 - 0 - -13). Let o be 2\/j - 21\/y. What is x(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.3. Let x = l - -0.1. Let r = x + 0.0999975. What is r rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9698*f. Let n(x) = 4*x - 177. Determine b(n(d)).\nAnswer: 38792*d - 1716546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -8. Let f(z) = z**2 - 5*z - 1. Let b be f(u). Let s = 1 - b. Calculate the greatest common divisor of s and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1272.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/8*(-50)\/(-75)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*t**4 + 135*t**4 - 70*t + 170*t**3 + 20*t**2 + 15*t**5 - 90*t**4 - 50*t = 0. What is t?\nAnswer: -3, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**6\/180 + u**5\/40 - u**4\/24 + 5*u**3\/6 + 5*u**2. Let j(k) be the first derivative of y(k). Calculate j(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t**3 - 34*t**2 - 100*t + 147. Let m(h) = 39*h**3 + 171*h**2 + 501*h - 735. Let c = -37 + 32. Let o(i) = c*m(i) - 24*u(i). Let o(d) = 0. What is d?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1 - 1) + -35 + 33\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 70 - 79. Solve -2*b - 5*c = 2*b + 9, a*b - 5*c - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.6, -1, 0.3, 3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.476+-2.6922\nAnswer: -2.2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27492 divided by -11.\nAnswer: 27492\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.92 + -9. Which is the nearest to -0.3? (a) 0.3 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 9:33 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23720 divided by 29.\nAnswer: 23720\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*f**3 + 39\/2*f**2 + 1521\/4*f.\nAnswer: f*(f + 39)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24*m + 22*m = 0, 0 = 4*v + 3*m + 4. Solve r = v*r - 1, 4*r = 3*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = -3*z + 608, -z = -2*t - 243. Let p be t\/(-11) - (0 + 1). Suppose -b - 2*k = -p, 14 = -0*b + 2*b - 2*k. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 33*f**2 - f + 1. Let h be (-1 + 1)\/(1 + 0). Let c = h + 1. Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 482930 to the nearest one thousand.\nAnswer: 483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 5\/2*v**2 - 1\/4*v**4 + 7\/3*v**3 + v + 11. What is the remainder when q(7) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 103. Suppose 3*k + 11 = -22. Let c = 19 + k. Calculate the remainder when a is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = 26. Let y = g - -6. Find the first derivative of 2*p**3 - p + y + p wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8119*q**3 - 16245*q**3 - 42*q**2 + 8125*q**3 to k*q + v*q**2 + p*q**3 + w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = -q - 3*q, -4*c = 4*q. Let s be ((-5)\/(-10))\/q*46. Solve -s*l + 24*l - 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -3\/4 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 354, 367, 372?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = -d - 3, -23 = -3*d - 5*w. Let o be ((-16)\/(-6))\/(4\/d). Let n(t) = t**2 - 2*t. Calculate n(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 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: Collect the terms in 3*v**2 + 26570314*v**3 - 26570318*v**3 - 3*v**2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0*k**2 + 0 - 1\/12*k**4 + 4*k + 3\/4*k**5 + 0*k**3. What is the third derivative of y(x) wrt x?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/63009 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*r + 431 = 0, a + 110 = -4*r + 2*r. Let h = a + 326. What are the prime factors of h?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:47 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 200930289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101110 (base 2) in base 13?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/6 + (-80)\/(-32). Let o(l) be the first derivative of l**3\/3 + l**2\/2 + l - 1. Determine o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2052*a**2 + 2*a + 243. Let x(z) = -2048*z**2 - z - 247. Let s(b) = -4*i(b) - 3*x(b). Find the second derivative of s(h) wrt h.\nAnswer: -4128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 23. What is j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183495663?\nAnswer: 3, 13, 43, 36473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1219050 and 77400.\nAnswer: 4876200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -19.2. Let n = -8 + 3. Let s be (-1950)\/4875 - 28\/30. Which is the closest to -0.2? (a) n (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*r + 2)*(30 + 2 - 7)*(-r + 2*r - 3*r).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 30?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:26 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 425, 421, 417, 413, 409, 405?\n\"Answer: -4*l + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.28664 (b) 21\/8 (c) -1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-6)\/(-252)*6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 2 + 2)*(m - 8 + 2*m**2 + 8) to v*m + d*m**3 + c + b*m**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 16*q = 29*q + 66. Solve -45 = -5*w + 5*i, -q*w + 10*w + 4*i = -24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - z - 3*z)*(2 - 4 + 1) - 1271*z - 257*z - 1501*z + 989*z - 1281*z to q*z + b and give q.\nAnswer: -3319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/66 and 181\/16929066?\nAnswer: 16929066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 41364.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Suppose q*x - 546 = a, 3*a + 144 = x - a. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 9 - 4)*(-3*f + 0*f + 2*f) + 1 - 3*f - 1)*(281 + 9*f + 13*f - 282) to g + r*f + z*f**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -841316062 divided by -2?\nAnswer: 420658031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 3*j**2 - j + 3. Calculate x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 + q**2. Let a be k(1). Suppose 3*r + 9 = 3*v - 3, a*r + 32 = -4*v. Find the common denominator of (r\/45)\/(4\/520) and 56\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*4\/1)\/(3456\/(-81216)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21\/13 + -343\/156. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.05\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o + 4 = 0. Let f be (-4)\/(132\/(-27)) - o. Let w = -2 - -2. Which is the closest to w? (a) -0.3 (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*v = 0, -4*v + 132 = 5*r + 116 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 458 = 59*o + 44 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/120 + a**5\/6 + 7*a**4\/12 - 11*a**3\/6 + 2*a**2 - 52*a. Let x be y(-8). Solve -6*n + n = -x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -13) + -6 + -7 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-24)*u*u*u**1)**(-7\/6))**(-5\/6) assuming u is positive.\nAnswer: u**(-245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15354570 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2131 (base 7) to base 16\nAnswer: -2f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 30*w + 39. Let y(o) = -7*o**2 - 60*o - 80. Let j(p) = -5*l(p) - 2*y(p). Calculate the remainder when 106 is divided by j(-27).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.437842 millennia to centuries.\nAnswer: 4.37842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3868488 - -0.5?\nAnswer: -3868487.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 0.5, -558, -2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -9883.84, -1\/7.\nAnswer: -9883.84, -0.5, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 + 176*x = 0.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11) + ((-10)\/55 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -866391\/4 or -216598?\nAnswer: -866391\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-482)\/(-4) - (-1 - -3))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 154 = -2*y, 5*y = -j - 398 + 13. Let k = 112 + y. What is k rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/212*(-21)\/((-1386)\/96)*-88?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p = -60*p - 14. Suppose 0*t = -5*t + p*d + 4773, -3*d = -3*t + 2862. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6611537 is divided by 274.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 1\/10, 0.02, 0.3, 9\/5 in ascending order.\nAnswer: -47, 0.02, 1\/10, 0.3, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3248 + 1606 + z + 3660.\nAnswer: z + 8514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12814 to the nearest 100.\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w + 6. Let u(y) = -14*y**2 + 17*y - 20. Let x(q) = 2 + 25307*q - 25313*q + 5 + 5*q**2. Determine w*u(k) - 17*x(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -5 + (1 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 56509?\nAnswer: -186479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**3\/6 + 2*h**2 + 16*h. Let w be 12 + (-2)\/2 + 0. What is the units digit of n(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 811633 * 3.2\nAnswer: 2597225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1931 + -1931. What is the closest to -6 in 5, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d**3 + 6*d**2 + 35*d + 5. Let g be o(15). Suppose g = 16*n - 11*n. Suppose -n + 681 = -2*a. What is a rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - (70088 - -13))*1\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10228177093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.4833 years in millennia?\nAnswer: 0.0654833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 - 3) + 2. Let i(t) = 4*t. Let g be i(p). Let f be (-4)\/g*4 + 4. What is the closest to -1 in f, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*1*5)\/(sqrt(8) + (-1*sqrt(72) - sqrt(72))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*-1)\/(14\/(-147)). Suppose 0 = -2*a + 31 - k. Suppose -h + 5 = 4. Sort -2, -5, h, a in decreasing order.\nAnswer: a, h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 - (-335 - -325).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15095\/7 + -2177. Let c = h - -1819\/84. What is the common denominator of c and 49\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248.176134 + 14.\nAnswer: 262.176134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 890*u**3 - 4162154*u**2 - 1758544*u - 37416 = 0.\nAnswer: -2\/5, -2\/89, 4677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.834399 rounded to three dps?\nAnswer: 3.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 - 148.2. Let i = 24.252 - c. What is i rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -268*d - 4465. Give v(-13).\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**2 + 21*c**2 - 121*c**2 - 66*c**2.\nAnswer: -193*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26053231*p**3 - 351*p**2 - 1284*p - 2?\nAnswer: 156319386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -106, -150, -220, -322, -462, -646, -880?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2310829232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -64, 3, -328?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14655 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*v = 40116 - 10666 for v.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 2 m when four letters picked without replacement from mowmwhhhmmwhmmmmhm?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 - -166.0815. What is j rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 5*f**2 - 7*f + 6. Let l be h(-6). Suppose 7*z + 65 = l*z. Differentiate 8*r + 0*r + 10 + z*r - 10*r wrt r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j**2 + 20*j - 28. Let v(d) = -5*d**2 - 10*d + 14. Let h(r) = -6*g(r) - 13*v(r). What is the units digit of h(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/14) + 65304\/(-3628)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o**2 + 4*o + 4. Suppose 0 - 6 = -z. Let k(r) = -r**3 + 5*r**2 + 5*r + 3. Let y be k(z). Calculate i(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5634*u - 80860.\nAnswer: 5634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534462 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -113*h**5\/5 - 19*h**2\/2 - 2*h + 63. Find the second derivative of i(j) wrt j.\nAnswer: -1356*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 683, 692, 693, 686?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -18, 0.1, 7904, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 74*v**3 + 2*v + 0*v + v + 2 - v to the form h*v + i + g*v**3 + l*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**4 + 6*v**3 + 4*v**2 + 4*v + 2. Let p(l) = 2*l**4 - l**2 + l + 1. Let g(k) = 2*h(k) - 4*p(k). Suppose g(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1033?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 10b8ff6?\nAnswer: -10b8fef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 113*w**2 - 52*w**2 - 61*w**2 - 29*w**2. Let v(o) = -15*o. What is v(k(m))?\nAnswer: 435*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13563366?\nAnswer: 2, 3, 2260561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5929 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.691 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60*3*(-18)\/(-30). Is 1215\/v*(-160)\/(-3) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 14*h + 154, 3*k + 2*h + 869 - 863 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 237 and -0.06 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100001001100011110011001?\nAnswer: 100001001100011110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2993741 * 2\nAnswer: 5987482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -98\/24585 and -34\/188485?\nAnswer: 565455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23960714?\nAnswer: 2, 11980357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-3)\/(12\/(-242)). Let l be (-4)\/(-2) + 1121\/18. Let s = l - o. Find the common denominator of s and -62\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/5 - 36*x**3 + 369*x**2\/5 - 186*x\/5 = 0 for x.\nAnswer: -62, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1989 and 24237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2. Let v(j) = -3*j**2 - 5. Let u(m) = 1 + 2*m**2 - 2*m**2 + 0*m**2 + m**2. Let i(n) = -5*u(n) - v(n). Give l(i(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103440 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 7*o**4\/12 + 31*o**3 + 7*o**2 + 1. Calculate the least common multiple of 56 and j(-11).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119 - -120)*(-3 + 2 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2671 - 5332 - 3877 = -270*m. Solve -46 - m = -15*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*b**3*r**3 + b**3*r**2 - 10*b**3*r + 12703*b**3 + 2896*r**3 wrt r?\nAnswer: -720*b**3*r + 2*b**3 + 17376*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -5\/4 (b) -0.4 (c) -2 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 4, -5 in descending order.\nAnswer: 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1583 + 1583. Suppose -b = 2*b - u - 9, -3*b = 4*u + 6. Suppose -5*o + b*o + 6 = w. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 30 = 2*f, -63*i - f + 36 = -62*i. Solve -i + 10 = 8*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 39975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10208, -10215, -10228, -10247, -10272, -10303, -10340?\nAnswer: -10383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145509190?\nAnswer: 2, 5, 2339, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29543 is divided by 29489.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 871 and 2345.\nAnswer: 30485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 9\/8*v**4 + 3\/70*v**7 - 3\/20*v**5 - 2*v**3 - 1\/8*v**6 + 29 + 0*v - v**2. Solve y(z) = 0.\nAnswer: -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/24 and 3\/6323.\nAnswer: 151752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1440)\/(-2))\/((-302)\/(-1359)). What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1503, 6249, 14155, 25221, 39447, 56833, 77379?\nAnswer: 101085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.1 + 2.1. Put -0.4, -1\/8, n in increasing order.\nAnswer: n, -0.4, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/5 - 6\/(-10). What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*y**4 + 41 - 6 - 2*y**3 + 8*y**4 wrt y?\nAnswer: 16*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*d)*(2 - 2 - 4)*(-3 - 1 + 3)*(12 + 5 + 2)*(d + 2 - 2).\nAnswer: 152*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.117?\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + -5*(sqrt(84)*1 - sqrt(84)) - sqrt(84)) - sqrt(84))\/sqrt(12))**2 + (sqrt(140)*6 - sqrt(35) - sqrt(35))\/sqrt(5).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 6, 15, 28, 45?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -925*b + 113755. What is s(123)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*w - 2*w = -9848, -2*k + 5*w = -4900. List the prime factors of k.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 - -182. Solve 0 = -7*w - h*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464\/8 + (0 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 66*m**2 - 2*m + 1. What is the units digit of w(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/44)\/((529\/(-23))\/92)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 6:37 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 836392099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16\/169, 0.2, -3\/5, -515\/4, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-20))\/((-57330)\/(-7644))?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -2\/23, 5, 1\/8330?\nAnswer: 1\/8330","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771, 801, 845, 909, 999, 1121, 1281?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2\/7, -5, 0.4, -19771, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 5*j. Let g = -14.5 + 2.4. Let k = g - -12. What is the closest to k in -4, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 - 3*p - 1. Suppose -4*q - 55 = 2*b - 27, 0 = -5*q - 25. Determine l(b).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/7)*i)\/((i*(i*i**14*i)\/i)\/i))**(21\/2) assuming i is positive.\nAnswer: i**(-291\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1869493*x**4 - 3*x**2 - 128791*x?\nAnswer: -44867832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d + 83*d - 10*d + 136*d in the form m + a*d and give a.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1266?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 38. Let a(x) be the first derivative of -x - 7*x - f*x**2 + 16 + 26*x**2. Differentiate a(t) with respect to t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -219e + -57?\nAnswer: -2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -19, -34, -53, -76?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.2 + -31.9. Which is the nearest to 1? (a) m (b) 4 (c) 1\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 13. Let s be (17499 + 1)*x\/(-10). Round s to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 41*h - 44 - 82. Solve 5*t + 4*n = -h - 4, 0 = -2*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454964512802*d**2\/3 + 3815608*d\/3 + 8\/3 = 0 for d.\nAnswer: -2\/476951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232 + -427. Let m be ((-12)\/(-10))\/((-13)\/r). Let n(s) = -s**2 + s + 19. Let d be n(0). Which is bigger: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -4\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, s: 10, x: 5}. Give prob of sequence xs.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyrrryyyryvry. Give prob of sequence ry.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 10*m - 6*m**3 + 3 - 2 + 4*m + 26*m to u*m**3 + p*m**2 + q + f*m and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.285693 + -1.287. What is m rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**2*d**3*x**2 - 4*b**2*d**2*x**3 + 11*b**2*x**3 + b - 332*d**3*x**3 + d**3*x - d**2*x**2 - 2*d**2 wrt d?\nAnswer: 36*b**2*x**2 - 1992*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a factor of 108633450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.82 - 0.18. What is the second smallest value in j, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r. Let p(c) = -55*c. What is i(p(b))?\nAnswer: -495*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (4 + -12 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 - 18 = 4*t. Let s be (-2)\/(-4) - t\/28. What is the tens digit of 33 + s + -3 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1874, -4, 0, -0.1 in descending order.\nAnswer: 0.1874, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*((1*sqrt(1100))**2*6 + -5 - (sqrt(1100) + sqrt(1100) + (3 + sqrt(1100) + 0)**2 + 3)).\nAnswer: -640*sqrt(11) + 43864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 9*d**2 - 3*d - 10. Let x be v(-4). Suppose 5*c - 494 = 386. Suppose o + 43 = n, -5*n - 2*o = -c - x. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9*d - 18 = 0. Let u be (-11)\/(d\/(-120)*4). Calculate the highest common factor of 440 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - 26. Let t be l(5). Suppose 3 - 6 = -v. What is the remainder when -18*(4\/t)\/1 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:39 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142.65027006 + -142.65. What is l rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -89 in descending order.\nAnswer: 5, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 34523682.\nAnswer: 25\/34523682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -13\/327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.162 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 5*q**2 - 2*q - 2. Suppose -6 = 28*u - 30*u. Suppose -10 = 3*x - 5*i, 2*x + 7*i = 2*i - 15. Let m be ((-1)\/u)\/(x\/75). Calculate v(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = -1. Let g be -5 - -3 - l - -131. Suppose -4*q + g = -0*q. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 2, -20.\nAnswer: -20, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 198 = 4*v. Suppose 10*c = 7*c + v. What is the derivative of 10*m**2 - 4 - c - 2 wrt m?\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1435375.56 - 1435604.928317. Let w = i - -290.36863. Let b = w - 61. Round b to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23853*d + 9755882. Give t(409).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33230030020 (base 4) to base 8\nAnswer: -17541410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 22. Let u = 6 - 6.4. Sort -1\/3, v, u.\nAnswer: u, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4\/3, 261, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t - 5. Let s be c(-6). Let j(k) = k**3 + 6*k**2 + 5*k + 2. Let q be j(s). Solve -2*g**q + 0*g - 3*g + g = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.91631 decades in centuries?\nAnswer: 7.291631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -87, -88, -89?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -325 + 361. Let c = 13 - 5. Let a = c + f. Is 44 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8163119*0.1\nAnswer: 0.18163119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -115*o - 19*o + 135*o - 64 + 64*o**2 - o**3. What is y(64)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 165638023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(-93 + 93 + 10*r**4).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 315*f**2 + 5400*f + 13500.\nAnswer: 5*(f + 3)*(f + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:19 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/146025 and 62\/64251?\nAnswer: 1606275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129\/(-10148))\/((-615)\/205)?\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7\/3))**(23\/5)\/(u**20\/(u*u**(-2))))**(-33\/5) assuming u is positive.\nAnswer: u**(5236\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19072092?\nAnswer: 2, 3, 13, 179, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022 (base 3) to base 2.\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2 - 82*v + 131. Give p(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.002889 (b) -20 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17562*j - 157731. Give s(9).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.046 and -16.\nAnswer: 32.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/126 and -167\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = w - 9, 0*w + 4*l = 2*w + 12. Find the first derivative of w*g - 2 + 1 + g - 4*g wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 4 in decreasing order.\nAnswer: 4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.3 and -1905.\nAnswer: 15811.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - -10 - 178\/58. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x + 4. Let c be u(4). Let z = c + 33. Suppose 5*m - z = -3. Solve 5*a = -m*o - 9, 4*o - 5*a + 1 = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6471 and -1535.4.\nAnswer: 4935.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*q - 4*j, -q - 1 + 2 = 4*j. Suppose 23*v + q = 28*v + 5*i, -2*v = 4*i - 8. Sort v, -3, 4, -1 in descending order.\nAnswer: 4, -1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/5 + 32108*j**3\/5 - 128929656*j**2\/5 + 103060260*j - 77280750 = 0. What is j?\nAnswer: 1, 3, 8025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 65 = 5*o, 453*t - 85 = 4*o + o + 456*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.2, -1, -0.2, 0.24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 17. Let g = 110 - 106. Calculate the smallest common multiple of ((-5)\/(-10) + 4)*1*g and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219508 * 20.\nAnswer: 4390160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2111 - 212 - 392)*(-4 + 4 - 2*h) + (2 - 1 + 0)*(-4 + 4 - 2*h).\nAnswer: -3016*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-2 - -3) + 920)\/((-42)\/(-224))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + 0 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126767?\nAnswer: 109, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 4, q: 1, w: 12}. Give prob of picking 1 i, 1 f, and 2 w.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(21)\/sqrt(3) + (sqrt(7) - (2*sqrt(7) - sqrt(7))) + -4)**2.\nAnswer: 40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 23*n - 4 + 3 as w*n + a and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60452, -120904, -181356, -241808, -302260, -362712?\nAnswer: -423164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 2 + 4 + 2 + 41*w**2 in the form k*w + x + p*w**2 and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(30) - sqrt(120)\/sqrt(4))*1)\/(((sqrt(200)*2 + sqrt(200))\/sqrt(10))\/sqrt(2))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from jxxxxxljjgxp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7148634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4623932 by 901.\nAnswer: 5132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o = -24*o + 122. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.4, 1\/3, 5\/3, 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58 - 4*g**4 - 87 - 78 + 3 - 32*g**4 with respect to g.\nAnswer: -144*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 2*c)*((4 - 4 - c)*(2 + c - 2) - 30*c**2 - 397*c + 397*c - 107*c + 107*c - 10*c**2).\nAnswer: -82*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27920.004 - 27970. Let x = -0.004 + h. Let p = x + 50.00056. What is p rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97397994 to the nearest integer?\nAnswer: 9869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 6*s - 297. Let p = -10 - -12. Is 35 a factor of s + (p - (-2 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 34.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -103387\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeefefoef. What is prob of sequence efo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-6) + 2\/(-3). Let u(n) = -n**3 - 9*n**2 + 2. Let v be u(b). Let l(p) = p**3 - p**2 - 2. What is the units digit of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771841?\nAnswer: 431, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.7 and -33917711 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.4 (c) 2 (d) -4\/3 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*b - 2471 = 1909 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**6\/24 + l**5\/30 + l**4\/12 + 12*l**2 + 14*l. What is m(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 8*m + 12. Let d be n(2). Suppose 192 = 5*g + 4*k, -3*g + 48 = -2*g + d*k. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3, 100, 0, -2 in ascending order.\nAnswer: -5, -2, 0, 3, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -402849+-2362\nAnswer: -405211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -182*580\/2610*(-18)\/(-8)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 1. Let y be k(-8). Suppose -y*c = -11*c + 152. 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: b\"What is the ath term of -102324, -103635, -104944, -106251, -107556, -108859?\n\"Answer: a**2 - 1314*a - 101011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 3*n. Suppose -5*t - 3*a + 25 = 0, 0 = -a + 5. Let h(c) = 2*c**2 - 85 + 5*c + 171 - 93 - 3*c**t. What is h(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 439953588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -167980854 to the nearest ten thousand.\nAnswer: -167980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*o - 2)*(1 - 4 + 0)*(-3 + 3 - o)*(-o - o**2 + 5*o - 2*o**2) as l*o**4 + x*o + k + f*o**3 + p*o**2 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (100*3\/12*-3)\/(-1). Suppose 0 = -76*v + f*v + 14. Suppose 0*r + 4*g = -4*r, -12 = r + 5*g. Solve -r*b = -5*h + v, -2*b = -4*h + 6 + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -109*x + 10. Let l(c) = c + 1. Let h(z) = -l(z) + o(z). Is h(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -7*l**3\/6 - 2*l**2 - 3327*l. Let s(v) = 20*v + 11. Suppose 2*u = -8, 3*g + u = -0*u + 47. Determine g*b(n) + 6*s(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1155 + -1156. What is the fourth biggest value in 4, 0.2, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:14 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 3*v - 10. Determine m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012348647 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37674173 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 3 + 0 - 4*s**2 + s**3 + s**3. Let n be r(3). Let l = n + -4. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1343013?\nAnswer: -4029039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = f - 23, 13*s - 17*s - 12*f + 12 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 - 3*a + 3. Let g(r) = 4*r**3 - 8*r**2 - 13*r + 13. Let z = 2 - 4. Let b(h) = z*g(h) + 9*p(h). What is the units digit of b(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195516486769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31001658 divided by 5.\nAnswer: -31001658\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -1\/4*b - 1\/8*b**2 + 1\/12*b**3 + 1\/16*b**4 + 7. Let y(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1995.92 and 13?\nAnswer: 25946.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n + 3*n + 3*n + 9*n to c*n + o and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, x: 3, d: 13}. What is prob of picking 2 d and 2 x?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*y + 35, 10 = 316*y - 318*y. Let m(q) be the first derivative of 0*q**2 + 4\/35*q**u - 8\/21*q**3 + 0*q + 17 + 1\/7*q**4. Factor m(n).\nAnswer: 4*n**2*(n - 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -7) + (3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78116922.\nAnswer: 2, 3, 13, 167, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) + 3\/4. Let f = 411.5 - 447. Let d = f + 40.5. Which is the closest to d? (a) 5 (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 446990.1ml?\nAnswer: 446.9901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 8\/7, 447?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - e1eae6?\nAnswer: -e1eaca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(209) + (sqrt(209) - -5*(sqrt(209) + 2*sqrt(209))) + sqrt(209) - sqrt(209))\/sqrt(11) + -4.\nAnswer: 1 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -470, -737?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 25*x + 21. Solve 9*n = 5*n + 20, 2*l = -n + x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145414 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 13*s**2 - 26*s + 318. Let m be y(13). What is the closest to 1 in -5, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5467*y**2 - y - 3. Let n be r(-1). Suppose -990 = -s - q, 5*s - n = 5*q - 485. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 20. Let c(u) = 14*u**2 + 2*u - 1. Let t be c(-4). Let v = t + -105. Calculate the highest common factor of q and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(14\/5)\/w)**(3\/7)*(w*w**(-1\/8)\/w)**23 assuming w is positive.\nAnswer: w**(-589\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 47 + 47. Let t(y) = -5*y**2. Calculate t(a(o)).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4557\/(-31) + (277 - 132).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 11. Let n(h) = -5*h - 21. Let o be n(-5). Let z(q) = q + 6. Calculate o*x(y) + 7*z(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-4)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m**3 - 5*m**4 + 12*m**3 - 2*m**3 + 4*m**4 + 18*m to z*m**2 + k*m**3 + r*m + l*m**4 + q and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4700002?\nAnswer: 2, 2350001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 45. Let f = 28 - a. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*x - 3 = -283*x - 35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -596321?\nAnswer: 1192642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**3 + 36*l + 3. Let m(d) = 23*d**3 + 109*d + 8. Calculate 3*m(k) - 8*y(k).\nAnswer: 5*k**3 + 39*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -56965071 times 1?\nAnswer: -56965071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2970\/(-216))\/(165\/(-22)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140*p**2 + 1331*p wrt p.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 8*w + 7. What is the second biggest value in 3, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32214 less than 65?\nAnswer: -32149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367457 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*h*h**28*h*h**(-4\/19)*(h\/(h*h*h**14\/h*h))\/h assuming h is positive.\nAnswer: h**(338\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 19*t + 104. Calculate c(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiawcaciia. What is prob of sequence cc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 3*h**5\/20 + 5*h**4\/6 - 7*h**3\/3 - 4*h**2 - 14*h. Let g(c) = 6*c**2 + 13*c - 9. Determine 8*g(l) - 5*o(l).\nAnswer: 3*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/15)*g**(4\/7))\/(g**0)**(-3) assuming g is positive.\nAnswer: g**(179\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -159a1a?\nAnswer: 159a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 7*n + 2. Let g(h) = -h**2 + 8*h - 2. What is -4*g(a) - 5*u(a)?\nAnswer: -a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 3*g = 138, -3*u - 2*g + 233 = 0. Suppose -2*p + 5*y - 6 = -33, 0 = -3*p - 4*y + u. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195.88679 or 1.1?\nAnswer: -195.88679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 0.195.\nAnswer: 15.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 11121020201200?\nAnswer: -11121020201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2.682?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58 + -406?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3039901555?\nAnswer: 5, 43, 67, 281, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176.032 + 172.58038. Let c = -3.45 - f. What is c rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 5, r: 1}. What is prob of sequence rc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 9, -2*w + 3*n + 4 = 7*n. Let q be w\/(-10) - 23\/(-5). Suppose -q*r + 4*r = -16. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62212 (base 10) to base 15\nAnswer: -13677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19946*w**2 - 3 + 40068*w**2 + 3 - 19767*w**2.\nAnswer: 355*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {s: 4, r: 2, b: 8, c: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*n**2 + 39*n**2 - 120*n**2)*(2 + 2*n**2 - 2) + 14*n**3 - 14*n**3 - 2*n**4.\nAnswer: -98*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -3*m - 34 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 9. Let u be n(-8). Let y(j) = 7*j. Let h(w) = -w. Let t(k) = k**3 - 20*k**2 - 2*k + 46. Let f be t(20). Determine f*h(z) + u*y(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -24, -40, -60?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:32 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44040522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.1311069110598 + 6.\nAnswer: -4.1311069110598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11359 (base 12) to base 8.\nAnswer: -54665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 47\/((-4606)\/28) - (15\/21 - -2). What is the closest to -0.4 in -0.8, -131, w, 0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -2, 6, 16, 28?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k + 17. Let c be z(-2). Calculate the greatest common factor of c and 959.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -3869\nAnswer: -773.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 75 = -87 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2050\/(-15))\/((-10)\/3600). What is w rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 250 = 8*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(4 - 13998\/3500). What is u rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + (1 - -9))*(6 - -2). Solve t*z = 19*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/2*(-223)\/3568*(-12)\/8*-2?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 2?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -3996.\nAnswer: -3996.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let b(a) = -a**2 - 80*a - 3523. Determine b(l(u)).\nAnswer: -4*u**4 + 160*u**2 - 3523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 5, -4, -1\/5, -1\/46?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -143, -265, -403, -539, -655, -733, -755?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 2*a**2 - 3*a**2 - a**2 - 3*a. Let u be f(2). Are -1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -31, -29, -25, -19, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231385255?\nAnswer: 5, 97, 349, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 6. Suppose -4*s = -5*y + 623999958, -v*y + 0*y + 249599997 = 3*s. Let h be (-2)\/(-8) + y\/24. What is h rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.76 and 132568839.\nAnswer: 132568839.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 412.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = p. Suppose p*v = -v. Suppose -4*j + 85 = 57. Solve 5*m - 15 = v, -y + 3*m - j = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*s + 71, 8*s + p + 84 = 3*s. Let g = -15 - s. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -843\/16 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 46*s - 251. Calculate a(14).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 122, 6 in descending order.\nAnswer: 122, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186871 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 58*t**2 + 136*t + 3985. Give f(-29).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0*x = -4*x + 1, 5*n - 5*x - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 + o**2 + o. Let n be z(-1). Let w = n - -17. Calculate the least common multiple of w and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -916574 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - k + 2. Let b = -1 - 0. Let w(z) = z**3 - z. Let y be (-4)\/(-3) + (-3)\/9. Suppose 1 = 2*v - y. Calculate b*w(n) + v*l(n).\nAnswer: n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, -5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*l = -15 - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 285*h + 2. Let w be (2\/(2 - 1))\/((-12)\/(-18)). List the prime factors of d(w).\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1 - 2 - 3 - 6*w - 3 + 8*w. Let g(l) = 2*l - 9. Determine 2*g(i) - 3*p(i).\nAnswer: -2*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(13) + sqrt(104)\/(sqrt(56)\/sqrt(7))) - sqrt(637)*-3*1).\nAnswer: -19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/110113984 and 27\/18925841.\nAnswer: 1211253824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbamm. What is prob of sequence ab?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(5\/(3 + 2)))\/(19\/(-38))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a05b9 (base 12) to base 7.\nAnswer: 15226230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14427 - -1?\nAnswer: -14426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 11544?\nAnswer: 219336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (7 + -2 - 16)) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let h be (5\/q)\/(8\/16). Let o = -1.4 - -1. What is the closest to 0.1 in h, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i**(4\/3))**29 assuming i is positive.\nAnswer: i**(551\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.9 + -45. Which is the third smallest value? (a) x (b) -6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**3 - 91405*h**2 - 365685*h - 274275 = 0?\nAnswer: -3, -1, 18285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*j - 6*d, -j = -2*d - 6. Suppose -g + 3*z = -0*g - 196, -5*g - 2*z = -980. Suppose 6*p = j*p + g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -557, -559, -561, -563?\n\"Answer: -2*i - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 88.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(500) + sqrt(500)*-1*-6))**2.\nAnswer: 220500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33578 and 2226551?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1703, 1781, 1859?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -336*a + 1889. Calculate v(6).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -308118 or -308102?\nAnswer: -308102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (0 - -1))\/((-12)\/(-16)). Suppose 0 = 3*x + 2*x - 180. What is the remainder when x is divided by (2 - -10)\/s - -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.8393 and -0.0664.\nAnswer: 2.7729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {e: 1, s: 1, o: 7, y: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*w - 3 = -6*v, -64*v - 16*w + 40 = -62*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/20)\/(1\/10). Suppose -2*t = -0*k + k - 7, 0 = v*k - 3*t - 17. Solve k*h - 1 = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 291?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 29. Calculate the remainder when 33 is divided by l\/3 - (-12)\/(-30)*-5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -3*d + 3*n + 190, -d + 2*n = -112. Suppose d = -t + 5*t. Suppose -t*x = -29*x + 243. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20a (base 11) to base 13\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (22*1 - 14\/(-1008)*-1568)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.4 + -10. Let x = 12888 - 12888.5. Which is the nearest to -2? (a) -4 (b) s (c) x (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33077272 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-20))\/(1*3\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088\/812 - (-1878)\/21?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11244?\nAnswer: -1\/5622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.125 + -5.225. Let a = 6.20447 - 0.10447. Let s = a + b. Which is bigger: s or -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 12:40 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12*j**3 + 14*j**2 + 17*j + 3. Let f(m) be the first derivative of m**4 - 5*m**3\/3 - 3*m**2 - m + 5. Let q(r) = 17*f(r) + 6*h(r). What is q(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2320\/34087 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.2. Let y = -7096.044 - -7096. Does y = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckzztzcczrktckcztr. Give prob of picking 1 r and 1 z.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 + -4 + 7. Suppose -10 - 14 = -a*i. Solve i = -3*w + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 372507\/12*70\/(-8). Let k = 269426 + b. Let w = k + 2189. What is the common denominator of w and 29\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-27 + (23 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 + 1149632*m\/15 - 1149634\/15.\nAnswer: 2*(m - 1)*(m + 574817)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {m: 5, f: 1, c: 3, t: 6}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 54 - 14 = 0. Solve 5*z + 20 = -5*l, 5*z + 18 = -w*l + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/20)\/(9\/12). Let y be (-7)\/(35\/2) + 672\/280. Which is the closest to 2? (a) -0.09 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*l - 15, -5*l + 8*h = 4*h - 25. Find the third derivative of 2*r**2 - r**l - 4*r**6 + r**5 + 2*r**6 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 4*w - 1. Let k(q) = q + 6*q - 4*q**3 + 3*q**3 + 2*q**3 - 11 + 9*q**2. Let m be k(-8). What is l(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(76) + sqrt(76)))\/(sqrt(576)*-1).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7)\/((-1)\/(-8) + 1938\/(-912))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-6 + 2)) + 7 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1642 + 1645. Sort 2, r, -9, -5 in decreasing order.\nAnswer: r, 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19140 - 716. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40dd (base 15) in base 9?\nAnswer: -20721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -3\/5, 1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14856551?\nAnswer: 23, 645937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 7*g**2 + 7*g + 9. Let b be h(-6). Suppose 7*i + 120 = 2*i. Does 6 divide (i\/(-2))\/(b\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 20 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 58110745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - (-25 + 12)) + 47 + (-20 - 2).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/6*((-752)\/20)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/603 or 4\/701?\nAnswer: 4\/701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -58)*(3 + 0)\/3. What is the units digit of t\/53*1\/(-1)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1231 + -5225. Let j = t + 90455\/14. Calculate the common denominator of j and -59\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 16*a - 72. Suppose 3*g - 310 = v, 195 = 2*g - a*v + 3*v. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.07 + 0.07. Which is the nearest to 0? (a) -2 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144365*x**2 - 50*x - 840?\nAnswer: 288730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/12 - 256\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 1088 - 1967 = -1604 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40756a (base 16) to base 14\nAnswer: 7bd6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 9*i + 36. Let v be y(12). Find the common denominator of ((-176)\/(-30) - v)\/(2790\/(-225)) and -19\/33.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m + 8*m + 31*m - 9*m as q + i*m and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/60 + 3*r**4\/8 - 5*r**3\/6 + 10084*r**2. Give t(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-187)\/33)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 3:38 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.86 - 2.86. Put b, 21, -17, 3 in descending order.\nAnswer: 21, 3, b, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121854827 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d + 3. Let b(s) = -18*s + 8. Let v(n) = -27*n + 12. Let m(y) = -8*b(y) + 5*v(y). Determine -5*m(h) - 6*t(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/4*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.09, 10\/9, 42637?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 - 3*v + 33*v**3 - v**4 - v**2 + 6*v - 35*v**3 to the form q + b*v + t*v**4 + k*v**3 + l*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (13\/(-52) - 6\/(-8)). Let m(q) be the first derivative of q + d*q**2 + 3. What is the first derivative of m(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926773324?\nAnswer: 2, 43, 251, 21467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Suppose 0 = -814*d + 662*d + 152. Which is the third biggest value? (a) d (b) -2\/33 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30893 less than -30889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -14 + (-105 - -51).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, 9 in increasing order.\nAnswer: -5, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/5, -3, -5, -84.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 6*d**2 + 4*d**2)*(-27*d**2 + 3*d + 41*d**2 - 2*d**3 - 11*d**2).\nAnswer: -2*d**5 + 3*d**4 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 + 2*n + 1\/3*n**2.\nAnswer: (n + 2)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.6002375 + -0.06\nAnswer: -25.6602375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**3 + 14*i**3 - 49*i**3.\nAnswer: -53*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000058 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from tttttznztztzttptqtpz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2*3\/1. Suppose 96*f = 95*f + 57. Suppose -6*m - f = -s*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**2 + 20*f**3 - 43853543*f + 43853543*f.\nAnswer: 20*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/(m*m**(2\/5)\/m*m))\/((m**(-2\/11)\/m)\/(m*m\/(m**(-5)*m)*m*m)))**(1\/44) assuming m is positive.\nAnswer: m**(107\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 108 = 3*l. Is 46 a factor of 9544\/l - (-24)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32090, -64145, -96200, -128255, -160310?\n\"Answer: -32055*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5700\/(-84) - -1)*(-70)\/4. Let x = -7019\/6 + w. Factor x*o**4 - 1\/6*o**2 + 1\/6*o**3 - 1\/6*o + 0.\nAnswer: o*(o - 1)*(o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22431.67 millennia to months.\nAnswer: 269180040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 30 = -19*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -923207 (base 10) to base 12\nAnswer: -38631b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 0.07. Let l = 0.29 - o. What is the closest to -3 in 0, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*q = -12, -3*q = 10*b - 15*b + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 5*v. Let a(t) = t**2 + 7*t - 4. Let q be a(-8). What is the tens digit of y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/((t**13*t)\/t))\/t)*t**(-1\/4) assuming t is positive.\nAnswer: t**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(((-34)\/2)\/(-204)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597514248.\nAnswer: 2, 3, 151, 54959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0*r**2 + 19*r - 1\/3*r**3 + 0. Let u(f) = -3*f + 3 - 3. Determine u(x(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/6)\/(-114 + 474507\/4158).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 + -1664\/7. What is the closest to 1\/2 in 5, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 10. Let v be (f\/(-40))\/((-6)\/8). Suppose v*i + 17 = 15. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s. Suppose 12*a + 12 = 8*a, -5*v - a + 187 = s. Let p = -57 + 96. Do p and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**4 - 2*r**3 + 2*r**2 + r - 1. Let d(x) = 315*x**4 - 150*x**3 + 150*x**2 + 75*x - 285. Let p(g) = d(g) - 75*h(g). Differentiate p(n) wrt n.\nAnswer: 1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1705\/476 + -70\/17. What is the common denominator of a and -75\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w - 2. Suppose 0 = p + 2*p - 12. Suppose 7 = 4*m + f, 0*m + p*f + 35 = 5*m. Is k(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32526 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*s + 40, 3*s = -1073425*m + 1073428*m + 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-17)*-2837 - -2. Let t = u + -169. Put t, 1\/9, -9, -1\/7 in decreasing order.\nAnswer: 1\/9, t, -1\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376940?\nAnswer: 2, 5, 47, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqkqsqqrsskq. What is prob of picking 1 r and 1 s?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -699, -1400, -2101?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Suppose 0 = 5*a + 30 + 5. Let f = -6 - a. Calculate v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 4*d**4 - 74437*d + 92 + 0*d**3 - 2*d**3 + 74435*d + 0*d**4 to the form m*d**2 + b*d + l + a*d**3 + n*d**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + 1*3*sqrt(209))\/sqrt(11) + -4*sqrt(171)*-5.\nAnswer: 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1083405 and 1083405 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/475, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l + l - 2*l)*(180*l - 5 - 56*l - 69*l) to the form v + b*l + u*l**2 and give u.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y - 1. Let q(i) = -i**3 - 3*i**2 + 4*i + 13. Give q(t) + 5*r(t).\nAnswer: -t**3 + 2*t**2 - t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(0*j**5 + j**5 + 0*j**5) - 129*j**5 + 14346*j**2 - 14346*j**2.\nAnswer: -130*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(60\/(-21))*-4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*p + 668*p = -629*p - 21900 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -28*c + 10*c - 30*c + 0 + 0. Let j(k) = -16*k. Give j(z(l)).\nAnswer: 768*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6c (base 16) to base 9\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/8? (a) 1086 (b) -0.08 (c) 0.1 (d) -2 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let z = -7 - -9. Suppose 3*w - p*o + 2 = z*o, 2 = 2*o. What is the smallest common multiple of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*h + 8, z - 28 = -z + 4*h. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (27*(-3)\/(-18) - 5)\/(1\/(-38))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 96. Suppose -4 = 2*j - u. Is j\/4*(0 - -2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1392\/(-3248) + 60\/(1*(-70)\/45).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2432432565 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 141141835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:06 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-10)\/(-8))\/6. Let r = 1.1 + -2.1. Let d be (0 - -4)\/(0 - -2). Which is the closest to d? (a) -0.5 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316802.99 + 0.1?\nAnswer: -316802.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11*y**3 - 9*y**2 - 8*y + 11. Let w(l) = -4*l**3 - 1. Let c(v) = n(v) + 3*w(v). Suppose 4*d = 3*d - 8. Determine c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 4*h**2 - 2*h**2. Let n(q) be the second derivative of -5*q**3\/3 - 17*q - 4. Calculate a(n(u)).\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 198\/447041 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(63)\/sqrt(9))*4.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:42 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1416379436 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1049932.38 hours?\nAnswer: 6249.5975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/12)\/(2 + (-54)\/(-18)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4\/j*j)\/(j*j**(4\/9)))**(27\/4)*j**(-2\/9)\/j**(1\/2)*j*j*(j**(-2\/13)\/j)\/j*j*j*j**(-1\/7) assuming j is positive.\nAnswer: j**(59725\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1, -3, -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -344*d**5 - 94*d**2 - 228508*d.\nAnswer: -6880*d**3 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v + 2*p - 58, 4*v + 24 = -4*p. Let r be (-12)\/v*(-20)\/(-6). Calculate the greatest common factor of r and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 566\/21 + -80\/3. Which is the closest to 3? (a) 0 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224518 divided by 112259?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135471, 270941, 406411, 541881, 677351, 812821?\n\"Answer: 135470*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, -3, -17, -15, 15, 85, 207?\n\"Answer: 2*t**3 - 10*t**2 - 2*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:34 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0 (c) 0.5 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 26*x**3 + 52*x**2 + 5*x - 11. Let l(w) = -15*w**3 - 29*w**2 - 2*w + 5. Let b(q) = -7*l(q) - 4*n(q). Let v be (-3 + 1)\/((-3)\/9). What is b(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 1. Let k be g(-3). Let f(p) = 6*p**2 - p. Let l be f(1). Find the third derivative of x**2 - 3*x**5 + 3*x**k - x**l wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/8 of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 800524 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: Expand -36*y**5 - 109*y**5 + 51*y**5 - 4*y**5 + 0*y**5 + 2*y**5 - 5*y**5 + y**5 + 2*y**5 + (0*y**3 + 0*y**3 - 3*y**5)*(3 + 2 - 4) + 5*y**5 - 3*y**5 - y**5.\nAnswer: -100*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 1 = -m, -3890*m + 3874*m - s + 35 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 0.\nAnswer: -15, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (316\/64 + -5)\/((798\/72)\/(-19))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53242\/57 - 934. Let c = -14\/19 + p. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.875 - -2. Let j = -53.125 + r. Let i = 53.00033 + j. What is i rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 2\/15, -10\/123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*w - 169 - 2729 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14941 = -5*s - 4*v, 0 = -2*v + 8 - 0. Suppose -5*c + 4*w - 4938 = 0, -4*c = -c + 5*w + s. Calculate the common denominator of -9\/8 and c\/200 + 2\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 13*q**2 + 3*q - 5. Let o be x(-7). Let m(z) = z**3 + 8*z**2 - z + 17. Let s be m(-8). Is o greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 3*c**3 + 11*c**3 + 0*c**3 + 2*c**3 + c**3 + (4 + 0 - 1)*(0*c**3 - c**3 - c**3).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 16*r**2 - 2*r + 8. Let a be t(-16). Let f be ((-1)\/(-4))\/(2*5\/a). Is f >= 33\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + sqrt(77)*-2 + sqrt(77) + sqrt(77))\/sqrt(11) - (1*sqrt(847))**2.\nAnswer: -847 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, -8, -3, 3, 5 in ascending order.\nAnswer: -8, -3, 2, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 + 2*k**2 + 2*k + k**4 - 3*k**2 to the form g + m*k**4 + p*k**3 + i*k + j*k**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -90390839 rounded to the nearest 100000?\nAnswer: -90400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 18 = -4*m, 4*b + 18 = -2*m. Let q = b - -5. Suppose 0 = -5*a - 4*i + 5, a + 5 = 6*a - 2*i. Solve -o - a = q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -508313*r**3*s**3 + r**3*s - 9*r**3 - 69781*r**2*s**3 - 2*r**2*s**2 - 88*s**3 wrt r?\nAnswer: -3049878*s**3 + 6*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 q, and 1 k when four letters picked without replacement from bkqzbzzfz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from wdwwwwwdwwwddwddwww.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1752 * -42091\nAnswer: 73743432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 - 2*k + 4. Let f = -215 - -234. Calculate the remainder when f is divided by u(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(sqrt(133) - sqrt(133)*-2)*4)\/(-4*sqrt(343) + sqrt(343) + sqrt(7) + -4*sqrt(7)*2).\nAnswer: -27*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*h + 45, k - 4*h - 4 = 5*k. Let f(b) = b**2 + 4*b - 8. Let s be f(-6). Let m(n) = -n - 5 - n + s*n. Give m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-3\/10)*p*(p*p\/(p\/(p\/(p*p*p*p**(-3)*p*p*p))))\/p*p)\/(p**(-1)\/p**8)*((p**(5\/7)*p)\/(p*p*p\/(p*p*p**8*p*p)))**(-9\/14) assuming p is positive.\nAnswer: p**(1081\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3221 (base 6) to base 5.\nAnswer: -10413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31760360953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5999 = -23*q - 4673. Let s = -461 - q. Factor 0 - 2\/15*t**s + 0*t + 0*t**2.\nAnswer: -2*t**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -2235, -3.2, -484, 0.2.\nAnswer: -2235, -484, -3.2, 1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -5, -78, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/6 - (-6 - (-357)\/77) and 101\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70124*m**2 - 271*m + 759952246 wrt m?\nAnswer: -140248*m - 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 619 + -1099. Let t = x + 538. What is the greatest common factor of t and 435?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 2. Let d be (2\/(-6))\/((-17)\/102). Let u be i(d). What are the prime factors of (-2678)\/(-18) + u\/(-18) - 0?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20*z - 13. Let g be n(3). Let y = 7 + g. Suppose 4*t - y = 10. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 138?\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 47397\/12 + (-2)\/(-8). Let f = x + -23573\/6. Find the common denominator of f and (-1)\/2*((-296)\/96 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 2. Let j be f(0). Let b(t) = 8*t - 1. Let w(s) = 4*s. Let d(c) = -3*b(c) + 7*w(c). Give d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -22 - 6. Let s be (-34 + -1)\/((-1)\/2). Suppose v + s = 2*v. What is the highest common factor of y and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2984*j = -7338*j - 4898 - 77828 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1152 and 3168.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 164\/(-902) - (-139803897)\/11. Suppose -i = -3*a + 250550 + r, 12959980 = 3*a - 4*i. What is a rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10707 divided by 4.\nAnswer: -10707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.628 at most -49335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.263105 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 11:13 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206925 - 89386. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -20*g - 20*g - 60. Let h(q) = -q**2 + 17. Let f(j) = 8. Determine g*h(z) + 5*f(z).\nAnswer: 2*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-4) + (-1)\/(-4). Suppose 0 = -2*a + i - 0. Suppose x - 2 = a. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.66 - -0.65. Which is smaller: k or 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07319440442 to 4 dps.\nAnswer: 0.0732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586583 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 - 111*b**4 - 507*b**3 + 507*b**2 + 4320*b + 4428 = 0.\nAnswer: -3, -2, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96696*t**4 + 31*t**2 + 5175*t wrt t?\nAnswer: -2320704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6404*a + 51225. Determine j(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkvkkfvffkfkxhxfxff. Give prob of picking 2 f and 1 v.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x*x**(2\/23)\/x)\/x)\/x)\/(x**(3\/2)\/x*x))\/(x*x**3\/x*x)**(6\/11) assuming x is positive.\nAnswer: x**(-2325\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 2, -16, -24, -5 in increasing order.\nAnswer: -24, -16, -5, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 3 + -43 + 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(9\/(-6)) + 3. Let m = d - 0. Suppose 2*o + 8 = 6*o. Solve o + m = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) 9 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96197 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30772.34 nanograms to micrograms.\nAnswer: 30.77234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/2860*39\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 509, 733, 1117, 1661, 2365?\n\"Answer: 80*q**2 - 16*q + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 3:48 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2354625 (base 8) to base 4.\nAnswer: -2131212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i**2 + 33*i**2 + 17*i**2 + 2*i - 2*i.\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80535 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26184.5 + -31225361\nAnswer: -31199176.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 852*p**2 + 800*p - 1597. Give a(2).\nAnswer: 3411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**2 + 1. Let l(f) = 16*f. Determine h(l(c)).\nAnswer: 2048*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 13) in base 14?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71721791?\nAnswer: 71721791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4463408*9\nAnswer: 40170672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 b when four letters picked without replacement from zbbgkqqg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.616 + 1.384. Which is the second smallest value? (a) -26 (b) g (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 490338, 980680, 1471022, 1961364, 2451706, 2942048?\n\"Answer: 490342*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -3.01. What is the smallest value in 0.5, x, 2\/7, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*l**4 + 10*b*l**3 + 251872*b*l**2 - 4*b*l - 2*b - 35*l**4 + 1405*l**3 wrt l.\nAnswer: 24*b*l + 60*b - 840*l + 8430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -1) + 5\/1. Let u(k) = 0*k - 5*k + l*k + 1 - k. Determine u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1187356833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -102. Let p = 36 + o. Is 3\/(30\/365)*p\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 485, 478, 467, 452?\n\"Answer: -2*c**2 - c + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -130*g + 27. Let s(j) = 64*j - 15. Determine -11*s(t) - 6*z(t).\nAnswer: 76*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 94. Let t(n) = -6*n + 94. Let p(c) = 4*l(c) - 3*t(c). What is the units digit of p(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7429 divided by -12860\nAnswer: -7429\/12860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t - 3. Let w be k(-4). Let z = -12.2 - -6.3. Let r = z - -6.2. Which is the third smallest value? (a) w (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 4. Let q be d(-5). Let n(f) = 3*f**3 + f**2 + 3*f + 6. Let t = 22 - 21. Let l(i) = i**3 + i + 1. Let w(c) = t*n(c) - 5*l(c). Give w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 7) to base 9\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -135, -361, -677, -1083, -1579, -2165?\nAnswer: -2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, q: 2, t: 1, g: 3, v: 3, f: 1}. Give prob of sequence gtgv.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255 + 723. Suppose 4*d - m = -4*f, -2*d - 6*f = -2*f - 234. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2 - 1404570*a + 6870436 wrt a?\nAnswer: 4*a - 1404570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52.063 + -0.063. Let z = f - 50.9. What is the biggest value in 3\/8, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -6 + 6 + 4 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182131819.6 rounded to the nearest 1000000?\nAnswer: -1182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/3330 and -115\/9324.\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163\/6 - -27. Let k = 62 + -62. Which is the closest to 2\/3? (a) r (b) k (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4162 - 166529\/40. What is the common denominator of (-8892)\/(-2860) - (2 - -1) and t?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -305?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from vvvvvvrvvvvvvvrrvrr?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -31*s**4\/4 - 32*s**2 + 499. What is the second derivative of j(g) wrt g?\nAnswer: -186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i**2 + 6*i + 3. Let s be r(3). Let h(p) = -4*p**3 + 3*p + 1. Let w be h(-2). Solve -f = 5, -s*f - 2*f = q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*d**2*g**3*o*u**2 - 2*d**2 + 16*d*g*u**2 - 9*g**3*u - 2*g**2*u + 11*o*u**2 with respect to o.\nAnswer: -67*d**2*g**3*u**2 + 11*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1504)\/(-12))\/47*2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/33)\/((-2)\/(-12)). Let r be -84*(9\/(-12) + c\/(-8)). Calculate the greatest common divisor of 63 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*a + 7, -a - 1 = -4. Suppose -j + 18 = 5*i, -i - i - 3*j + 15 = 0. Suppose -3*g = -6*g - i. Sort 1, g, d.\nAnswer: d, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3046 - 3562 = 93*z + 238*z + 141*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -49. What is the greatest common divisor of 25 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -b6b?\nAnswer: b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7)*o)\/o*o*o\/(o**(-1\/2)*o*o*o)*o\/(o*(o\/(o*o**(-2\/27)))\/o)*((o*o**(3\/4))\/o)\/o assuming o is positive.\nAnswer: o**(457\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 185745 (base 10) in base 8?\nAnswer: 552621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234580*t - 5 + 234580*t - 5 + 4*t**2 + 10.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4555 is divided by 217.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -104. Let r = w - -3. Suppose 213 = 3*c - 0*c - h, -r*h + 274 = 4*c. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 59 = -5*d + 9*i, 439*d - 45 = 433*d - 3*i + 81 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 4 = 0, 672 = 4*f - 4*g. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*624\/(-195)*-1*(-75)\/(-130).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 270\/75 + 4\/10. Suppose -f + 2 = -y. Suppose f*x = -0*x + 270. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 972. Let d(o) = -7*o + 968. What is -4*d(l) - 5*j(l)?\nAnswer: -2*l + 988","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197083766 divided by -22.\nAnswer: 8958353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1308 - 618. Let p = 988 - g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y**2)*(2*y**3 - 3*y**3 - 5*y + 2*y).\nAnswer: 2*y**5 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 71269574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 2, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*t + t. Let b = 7 + -9. Let r = t + b. Solve 0 = 3*k + r*o + 21, -27 = 3*o - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - i - 2*i)*(-4 + 2 + 4)*(3 + 2 - 3)*(-9*i + 10*i + 34*i) to w*i + q*i**2 + b and give q.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/7562896 and 49\/35440.\nAnswer: 37814480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, 0, -2\/3, -1786 in increasing order.\nAnswer: -1786, -2, -2\/3, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 549 + 491. Calculate the greatest common divisor of 104 and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 275*i - 298. What is the units digit of v(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 37. Let z = 14 + n. Let s = 10 + z. Which is the smallest value? (a) -0.4 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/120 - p**5\/6 + 5*p**4\/12 - 5*p**3\/6 + 3*p**2. Let o be v(9). What is the smallest value in 2\/7, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(95)\/(sqrt(5) + (sqrt(5) - (sqrt(50)\/sqrt(10) - sqrt(5)))) - -3*sqrt(931)).\nAnswer: -4 + 43*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25857 and 8.\nAnswer: 206856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 374101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/20*(-25)\/(-15))\/(9\/258). Suppose -3*m + 38 = -t, -2*t - 5*m - 114 = t. Let d = t + a. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3155644481 and 0.5.\nAnswer: -3155644480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60648 + -25270. What is the ten thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -144.0257.\nAnswer: 133.0257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)\/h)**(-6\/7))**(-37\/5) assuming h is positive.\nAnswer: h**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:30 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9397*u - 2. Let y(j) = -14081*j - 3. What is -7*l(g) + 5*y(g)?\nAnswer: -4626*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -9*(-3)\/27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296423028 to the power of 1\/3, to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o**2 + 0*o - 1\/3*o**3 + 1. Let d(q) be the third derivative of q**4\/12 + 5*q**2. Determine a(d(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + 5 + 0 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03993221622 to four dps.\nAnswer: 0.0399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -984 - -986. Sort 6, 7\/2, m in decreasing order.\nAnswer: 6, 7\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**29*m*m**(-26))**(-5\/8) assuming m is positive.\nAnswer: m**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390716 by 4.\nAnswer: 97679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10 + 5 = -3*s, -3*w = -4*s + 30. Let h(x) = -x**2 - 8*x - 9. Let z be h(w). Suppose 0 = -6*o + z*o + 3. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 11) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 6, i: 11}. Give prob of sequence iee.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*(1 + sqrt(832) + -4) - ((-1 + sqrt(832))*-1 + (sqrt(832) + 1)*4)) + 2)**2.\nAnswer: -2739 - 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqjjjjjjj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -39*z + 4. Let a be v(4). Let x be (a\/2)\/(1 + -2). Let d = 144 - x. What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:20 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 178, 3 in ascending order.\nAnswer: 3, 66, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from ttpddbpipp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmnm when four letters picked without replacement from {m: 2, d: 3, n: 3, o: 10}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12 + (-10)\/18. Let h be (36\/192)\/((-120)\/(-800)). What is the nearest to p in h, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.6 + -1.4. Let a = r + 14.4. What is the third smallest value in -11, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -211b4 + 0?\nAnswer: -211b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(63488474*d**4 + 135*d**2 - 21*d**2 - 63488469*d**4 + 3).\nAnswer: -10*d**4 - 228*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15107343 to the power of 1\/2, to the nearest integer?\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-5))\/(-16)*12\/(-33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -539\/4. Find the common denominator of 33\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1934, -7760, -17528, -31280, -49058, -70904, -96860, -126968?\n\"Answer: -7*x**3 - 1929*x**2 + 10*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + -31406410?\nAnswer: -31406452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/3 + 2051*f**3\/3 - 6128*f**2\/3 - 32756*f\/3 - 8192 = 0. What is f?\nAnswer: -2, -1, 6, 2048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1002 smaller than -1002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36\/1203607 - 23933893027\/5611215834. Let l = o - 32\/259. Calculate the common denominator of -5\/8 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = h - 3. Suppose -2*z = 4*t - 242, -5*t + 163 + 138 = 3*z. Let r = t + -21. What is the remainder when r is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**5 + 3*y**5 + y**5)*(-162 - 277 + 153).\nAnswer: -572*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11*(2 - ((-2)\/1 - -2)) and (30\/(-1))\/((-6)\/4)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = -3*l + 28*t + 21, -3*t = -4*l + 35. Suppose 0 = 2*u - 5*u + 3. Let g = u - -2. Solve 1 = -g*m - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*1*(-1)\/2. Suppose g = 3*x - 99 + 27. Let d = x - 16. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28))\/(((-15)\/20)\/(-3)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2503, 1315, 115, -1103, -2345, -3617, -4925, -6275?\nAnswer: -7673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19618, -19615, -19612?\n\"Answer: 3*v - 19621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*g**2 - 11*g + 1 - 14*g + 25*g in the form m*g + f*g**2 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*g - 467*g + 238*g - 2*j - 18, -2*g + 10*j + 54 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 4\/(-14) + (-437)\/161. What is the smallest common multiple of 27 and 12\/(u\/3*(-10)\/120)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**3*(r**(-1)\/r)**(3\/17) assuming r is positive.\nAnswer: r**(147\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 124, -224, -2, -3, 4 in descending order.\nAnswer: 124, 4, -1, -2, -3, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.701 - -0.101. Let n = g + -1.4. Which is the second biggest value? (a) n (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4464143660.5258 - -4462823645. Let s = x + 1319954.52579847. Let w = s - -61. What is w rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 4*v - 3. Let i be g(4). Calculate the lowest common multiple of 10\/i*48\/(-20) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25491\/2600 + 23\/325. What is the common denominator of z and 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 5. Let i be 104\/32*(-12)\/(-3). Let c = -6 + i. Let v(d) = 2*d**3 + d**3 + c + 17*d - 17*d. What is 7*a(u) - 5*v(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t**4 + 388*t**3 + 432*t**2 - 652*t - 184 = 0 for t.\nAnswer: -23, -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 24057\nAnswer: -12028.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -3\/20*b**5 + 1\/2*b**4 - b + 11 + 1\/14*b**7 + 0*b**3 - 1\/5*b**6 + 0*b**2. Find a, given that j(a) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66892173 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2088\/290)\/(8\/(400\/5)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.212, 1\/2, 0.08, 0.4 in decreasing order.\nAnswer: 1\/2, 0.4, 0.08, -0.1, -0.212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, n: 12}. What is prob of sequence nmn?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 10*u + 1887. List the prime factors of g(0).\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/13)*p*p**(-23)*(p*p**5)\/p**17 assuming p is positive.\nAnswer: p**(-431\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 10*u**2 + 24*u + 1. Calculate the remainder when o(11) is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4836 and 532212?\nAnswer: 214481436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1053.917 millennia to months.\nAnswer: 12647004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*u + 5204 - 4343 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = y + 458. Round y to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/31)\/f*f**(-3)*f**(-4)*f*(f\/(f*f**(3\/4))*f)\/f assuming f is positive.\nAnswer: f**(-953\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0 = -13*z - 10, -10 = -4*z - 5*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.586 - 1.414. Which is smaller: x or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 12. Let u be p(6). Suppose -3*v + u = -4*i, 5*v - 2 = -4*i + 6. Put -2, v, 2 in decreasing order.\nAnswer: v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2. Let l(u) be the second derivative of -7*u**3\/6 - 39*u**2 - 974*u. What is t(l(m))?\nAnswer: -147*m**2 - 3276*m - 18252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 27. Calculate the lowest common multiple of 11 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2609296 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - -1 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 717279307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 114547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h - 711 = -3*y, 2*h + 232 = y. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2350*f - 5190*f - 1646*f.\nAnswer: -9186*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -12. Suppose 4*p + 23 = 5*p + 5*t, a*p + 5*t = 17. Let x(y) = y**2 + 4*y + 2. Determine x(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 32*s**2 + 23*s - 1. Let p be c(-1). Let g be ((-4)\/((-16)\/(-402)))\/(9\/(-48)). Calculate the greatest common factor of p and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/5 + -46*29892\/(-383985)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 28*s = -91926. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*z - 12*z + 28160, 4*x - 4*z - 28152 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.07 or 10213684?\nAnswer: 10213684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/(5\/20). Suppose z - 5*n - 16 = -0*n, z - c*n = 17. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 7*p - 7. Let s be a(-5). Suppose s*w - 47 = 133. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*g - 7, 10 = -5*g - 8*r + 3*r. Let d be 2\/2 + 1*g. Let c(l) = -l**2 - 5*l - 4. Let y be c(d). Solve 5*p + 4 + 21 = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 6:29 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.088 + 0.09. Let o = k + -38.002. Let x = 36 + o. Which is the nearest to 0? (a) x (b) 0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -429, -857, -1283, -1707, -2129, -2549, -2967?\n\"Answer: a**2 - 431*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -24, -23, -18, -9, 4, 21?\n\"Answer: 2*g**2 - 9*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767018 bigger than 5767018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 32, 70, 120, 182?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from lqkppiiikk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 27*h + 2. Let k(f) = -59*f - 4. Let r(t) = -4*k(t) - 9*p(t). Suppose 57 = -4*y + 5. Is r(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -3) + 3 - 3. Let g be n*(2 - 1 - 3). Which is smaller: -2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*b - 4*l, -4*b + 68 = -4*l - 36. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1243 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + l = -l - 64, 3*f + l - 48 = 0. Suppose n + q + 3 = 2*n, -4*q = f. Let c be (n - 0)\/(4\/(-8)). Solve 0 = -5*g + 3*j + 2*j, 0 = -c*g - j - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3853 at most as big as 1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -8. Let r be (1 - (-1 + 2))*l. Solve 2*u - 3*u = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 13) to base 7.\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 66748.45 milligrams?\nAnswer: 0.06674845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b. Solve -3*q + 2 = d, -4 = -q - d - b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, w: 2, r: 1, a: 1, s: 2}. What is prob of picking 1 r, 1 s, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82582*i**2*n**2 - 27*i*n**2 + 606*i*n - 5*n**2 + 1 wrt i?\nAnswer: -165164*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50997.14 millimeters to micrometers.\nAnswer: 50997140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -685, -3451, -9513, -20059, -36277, -59355?\nAnswer: -90481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23282, 23285, 23284, 23279, 23270, 23257, 23240?\nAnswer: 23219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*s**3 - 50*s**2 + 2*s**6 - s**6 + 0*s**6 + 19*s**2 wrt s?\nAnswer: 120*s**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3) + 2\/2. Suppose -b + 2 = -3. Let p be (8\/6)\/((-6)\/(-18)). Solve -c = b*f - p*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let l be (-165)\/(-45) + 3\/9. Let s(b) = -3*b**2 - 4*b. Calculate l*f(j) + s(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 7*g**2 + 3*g**2)*(-3*g + 4*g + g) + 0*g**3 - 6*g**3 + 2*g**3 - g**3 - g**3 + g**3 + (0*g**2 - 2*g**2 + 0*g**2)*(6 - g - 6).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2972\/3 - 359597\/363. Calculate the common denominator of 93\/22 and a.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3513\/5 - 42371\/60. What is the common denominator of -19\/3 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7612 + 7607. Let o(y) = 4*y + 5. Determine o(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14382414*z**4 + 1375171 wrt z?\nAnswer: -57529656*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2 - 14. Suppose -r*p + 8 = -2*p. Suppose c - 7 = -2*b, 4*b + 0*b = -p*c + 4. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19916565320 + -0.5.\nAnswer: -19916565320.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/(-1) + (2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 697 - 539. Calculate the remainder when n is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13520 = 610*f - 12710 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5476 or -5482?\nAnswer: -5476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvlph. Give prob of sequence lpph.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/18 and 259\/(-80) + (-10)\/(-75)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -30. Suppose 2 + h = f. Solve i = -5*d - 4, -6*i + f*i = d + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + y)*(-5*y + 6*y + 4*y) - 2*y**2 - 3 + 3.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-10)*(16 + -11). Suppose 5*i + 1 = -f + 4*i, -y*f - 4*i = 3. What is the closest to 1 in 1.6, f, -1\/3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1569 - 1576) + (1 - 0) + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -5*j + j. Let z = -47 + j. Let x = -1 - 1. Sort x, z, 1 in ascending order.\nAnswer: z, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 4*f**2 + 6*f - 1. Let n be d(5). Let o = -24 + 47. Let m = o - 19. Solve -4*b = n*c + 16, 3*c - 6*b - m = -b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 9\/7 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 2 - (1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhehheeehehheheehe?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2981.\nAnswer: 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 1, x: 2, h: 1, n: 2, l: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*i**3 - 10*i**4 + 31*i**3 + 0*i**4 - 2*i**4 + i**4 + (3*i - i - i)*(-i**3 + 2 - 2).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11011?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.401741 - -0.574834. Let j = -133 - -133.173. Let n = j - d. Round n to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 109.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.3 + 0.7. Let i = -8 + c. Sort 1, -1\/6, i.\nAnswer: -1\/6, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u. Let q(j) = -j**2 + 7*j - 1. Let m be q(6). Let d be (2\/6)\/((-2)\/(-12)). Let b(z) = 4 + 0*z**2 - 4 + m*z**d. Determine w(b(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9575)\/17235)\/(5*(-2)\/8)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - h - 82, -5*g - 3*h = -132. Solve 6*p = -3*p + g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330756761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**4 - 5*g**3 - 3. Let u(d) = -7*d**4 + 6*d**3 + 3. Let t(a) = 5*u(a) + 6*y(a). What is the first derivative of t(h) wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014109 rounded to 5 dps?\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = -v + 74, 2*a + 232 = 3*v. Let h be (v\/(-57))\/(4\/(-6)). Suppose h*r + 8 = 0, f - 3*r = -3*f + 3488. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 404.93 + -125.64. Let b = 278 - n. Let z = b + 14.49. Round z to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90295212 divided by 3113628?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1663 = -6*l + 11741. Calculate the remainder when l is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -2*sqrt(180)*-5)*1)\/(-5*sqrt(324)*-6).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-680)\/127500*(1 - 217\/4) and -121\/50?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:22 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82776 divided by 30.\nAnswer: -13796\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13015237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/((20\/(-15))\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d**2 + 7*d + 6. Let y be t(5). Suppose -s = 3*j - 224 - 11, 5*j - y = -2*s. Let o = j + -39. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.3. Let j = n - 0.3. Let f = j + 0.1. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -58?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 - 17*n**3 + 10*n**3 + 5*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 + 1003*c**3 - 161734*c**2 - 492208*c - 329472 = 0.\nAnswer: -1144, -2, -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -0.4815528?\nAnswer: -0.4815528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 50 = 6*x. Let n(g) = 5*g**2 + 3. Let i(l) = -9*l**2 - 5. Let c(p) = x*n(p) - 3*i(p). Let m(w) = -w + 29. Determine m(c(v)).\nAnswer: -2*v**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-290)\/1102)\/(-1 + (-13)\/2)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -19\/300*r**6 + 0*r - 8*r**2 + 0 + 4\/15*r**3 + 1\/75*r**7 - 4\/15*r**4 + 1\/6*r**5 - 1\/840*r**8. Factor k(j).\nAnswer: -2*(j - 2)**2*(j - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 - 9*y + 3. Let m(o) be the second derivative of o**4\/3 - 5*o**3\/6 + o**2\/2 - 19*o. Calculate 11*m(l) - 6*x(l).\nAnswer: -4*l**2 - l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5.02. Let x = 0.22 + o. Put -2, 5\/2, x in increasing order.\nAnswer: -2, x, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 39*c + 156. Give g(12).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*h, -5*w + 321*h = 317*h - 58399. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649000 divided by 200?\nAnswer: 13245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a\/a**10)\/a)\/a))**(-6\/11) assuming a is positive.\nAnswer: a**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 12. Let w be k(4). Suppose 7*a = 2*a + 25. Suppose a + 15 = w*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + -d21?\nAnswer: -d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443702.5 rounded to the nearest 10000?\nAnswer: -2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -271*s - 2180. Calculate j(-4).\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -23.3 (b) 1 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5 + 99*j**4\/2 - 23*j**3 - 147*j**2\/2 = 0.\nAnswer: -1, 0, 3\/2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 42?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -4 - (40 - 10)\/(-10). Solve -6*g - 16 - 14 = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1025*t*z**3 - 29*t*z**2 - 3*t + 8*z**4 + 1185*z**3 + 7122*z**2 - 43 wrt z.\nAnswer: 6150*t + 192*z + 7110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 109*n - 12 + 33*n**2 + 4 - 112*n. Let h(w) = -w**2 + w + 9. Let k be h(4). Is i(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -1)\/((-449)\/26673294).\nAnswer: 2, 3, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -41143*u + 329152. Determine h(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27, 11.7, -3\/40, -4?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 134455535.\nAnswer: 2689110.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 21*f - 36. Let t be m(-11). Let w(g) = -21*g - 33. What are the prime factors of w(t)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 51*g + 100*g = 3*o + 47*g + 109, 222 = -14*o + 4*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 - 9\/3)\/2. Let i(z) = -5 - 2*z - 7 + 13*z - z**2. What are the prime factors of i(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-40))\/(((-297)\/440)\/9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30193 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r + 41 = o + 9*r + 32*r, -20 = -4*r for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 - 5 = -a, 0 = 5*j - 4*a + 2. Let c(u) = -2*u + 5*u - j*u. Suppose 76*g + 25 = 71*g. Give c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1308 (b) -3 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0*a - 4 + 3)*(-9 + 5*a + 9)*(-4*a**2 - 3*a**2 - a**2)*(5 - 1 - 2) to w*a**4 + o*a + s + l*a**3 + c*a**2 and give l.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/450*-4)\/((-3)\/(-15)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1616 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32904 = -3*q - 3*o - 5*o, 0 = -2*o - 6. Is q a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, -3, -677, 8, -386 in descending order.\nAnswer: 8, 5, -2, -3, -5, -386, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3166, 6308, 9450, 12592, 15734?\n\"Answer: 3142*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16666 = 5*v, -3*v = -8*w + 11*w - 10002. What are the prime factors of v?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5199 * -10.4.\nAnswer: 36.60696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3 - 13*r - 1 - 1. Let l be g(-7). Let h = l + -169\/2. What is the second biggest value in 1, h, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + 5100?\nAnswer: 5133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 641 divided by 18672.\nAnswer: 641\/18672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -50787?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1783207\/180 + -9907. Find the common denominator of m and -131\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:18 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.72 - 18056?\nAnswer: -18053.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + 8. Let g = 10 + v. Let q be (12\/(-8))\/((-1)\/(-2)). Put q, -5, g in increasing order.\nAnswer: -5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 9, q: 6}. What is prob of sequence fa?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 15) to base 13\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) -0.05 (b) 1 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.70811t in grams?\nAnswer: 92708110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m*x**3 + 246*m*x**2 + 6736*m - x wrt x.\nAnswer: 3*m*x**2 + 492*m*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/14)\/(900\/(-5250))*6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2 + 2*t + 585. List the prime factors of q(0).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 3*y - 3*y)*(-9*y + y - y + 2).\nAnswer: 9*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 6. Suppose -2*n + b*n = -116. Let i = 6718 + -6748. Is i less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1083650 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-2)\/8)\/((-2)\/12))\/((-266541)\/(-32308)). Find c, given that -228\/11*c**2 - 109744\/11 + 8664\/11*c + a*c**3 = 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + ((-2 + sqrt(175))*2 - sqrt(175)))) + sqrt(175))**2 + sqrt(175) + (0 + sqrt(175) - sqrt(175))*1 + sqrt(175).\nAnswer: 16 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.7 + 5. Sort c, 1\/7, 0.5, -0.2 in decreasing order.\nAnswer: 0.5, 1\/7, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (-53 - -43) - 36.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - sqrt(11))*-3 + 3*sqrt(176).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 201926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0381 + 0.1246. What is l rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 11. Give m(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2184203*c. Let x(d) = 27*d**2 - 2. Give x(j(f)).\nAnswer: 128810054120643*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48103680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 7:21 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 2. Let b be l(0). Let k = -0.471 - -0.071. Put 0.5, b, k in ascending order.\nAnswer: b, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 68. Suppose t*x + 259 = x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7 = -3*k + 1, 0 = -k + 3*f - 15. Let z(h) = h**2 + 5*h + 8. Give z(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(57) - (-1*sqrt(8208) + sqrt(8208) - sqrt(8208))))\/(5*(sqrt(243) - ((sqrt(243) - sqrt(243)*-1) + sqrt(243) + sqrt(243)))))**2.\nAnswer: 3211\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*x**2 + 146*x**2 - 14756*x**3.\nAnswer: -14756*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + j + 16 = 0, i - 2*i + j - 9 = 0. Let d(h) = 6*h - 5. Let m be d(i). Is (-2278)\/(-14) + (-10)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -22 + 78. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let v = 180 + -179.5. Which is the nearest to o? (a) 3 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/40 - 2*h**4 - 31*h**3\/4 - 23*h**2\/2 + 26*h + 2. Find d, given that f(d) = 0.\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -848*o - 12623. Give n(-15).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -25. Solve o = -2*p - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k + 23*k + 410 = 34*k. What is the fourth biggest value in 15, k, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205294026 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: Is 10558989239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 + 4*p + 1. Let k be c(2). Let t(i) = -i**2 - 7*i + 16. Let o be t(k). Solve j = 5*j + o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010111100111111 + -100?\nAnswer: 1001010111100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -3 - -8 - 17202. What is m rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2 - 22*b - 84 = 0.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:02 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 8 = 4*l. Suppose -5*j + 209 = l*c - 10*j, -3*c + j + 307 = 0. What are the prime factors of c?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**6\/165 + 3*i**5\/110 - i**4\/33 - 12*i. Factor n(l).\nAnswer: -2*l**2*(l - 2)*(l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 612 = 4*i, -4*i - b - 624 = b. Suppose -4*p - 4 = -0*p. Sort p, -2, i in ascending order.\nAnswer: i, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -6693, 5 in increasing order.\nAnswer: -6693, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -139.966648377.\nAnswer: -136.966648377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2673)\/(-378) - (-3)\/7)*5\/(90\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3350, 3424, 3548, 3722, 3946, 4220, 4544?\n\"Answer: 25*h**2 - h + 3326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1455308375082822 and -3.\nAnswer: -1455308375082825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5497?\nAnswer: 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 21. Let k be (330\/(-105))\/11*(-6)\/(-4). Which is the smallest value? (a) -0.5 (b) f (c) -0.4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316403762?\nAnswer: 2, 17, 9305993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 8?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v. Suppose -5*t - 1613 = -5*w - 548, v = -w + 5*t + 197. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2549388293 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/150 and 61\/18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3225\/(-430)*4\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/10)\/((-5)\/2). What is the common denominator of 12\/((-120)\/245)*c\/20 and -29\/110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 2*f, 7 = 3*f - 2. Solve h*c = -4*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/3 - 8)*(-1)\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1761\/860339 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 400*o**4 - 33 - 399*o**4 - 1 + (2*o - 2*o**3 - 2*o)*(2*o + 5 - 5).\nAnswer: -3*o**4 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = -2*j + 4, j = 5*g - 13. Let s(u) = 3*u - g*u - u + u. Let v(c) = 2*c. Calculate s(v(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.1 (b) 6.6 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p = -116*p - 107*p - 166 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3\/32*t**4 - 1\/4*t**2 + 1\/40*t**5 + 122 + 0*t + 0*t**3. Factor s(q).\nAnswer: q*(q - 1)*(q + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74106 + -39617. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54748462 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33005*r**6 - 72506*r**2 wrt r.\nAnswer: 3960600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5168\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -1\/3*j**3 + 9\/2*j**2 + 10*j + 1. What is the units digit of w(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-4))\/(6\/(-120732)). Let g = q - -4475. Let j = g + 602. Calculate the common denominator of 17\/4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let c be (24\/10)\/(4\/10). Let o(q) = -7*q. Let r be ((-156)\/16)\/(1\/4). Calculate c*o(t) + r*f(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m + 5 - 1\/2*m**2. Let p(n) = -3*n**2. Give p(d(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**6\/120 - j**5\/80 - 3*j**4\/16 + 3*j**3\/8 - 2157*j. Factor k(a).\nAnswer: a*(a - 3)*(a - 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1900\/1050)\/((-41)\/861)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/37383 and 2\/981.\nAnswer: 12224241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = 151936*b - 151952*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763266187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15507078?\nAnswer: 2, 3, 19, 136027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0989 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + sqrt(3)*1)**2 + sqrt(3) - (-2 + sqrt(3) + -4)) - 5*(sqrt(2352) - (sqrt(2352) - (2 + sqrt(2352))**2)).\nAnswer: -11702 - 584*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4561, -18049, -40505, -71911, -112249, -161501?\n\"Answer: 3*o**3 - 4502*o**2 - 3*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g - 3*c, -7*g + 3*g + 4*c = 0. Let i be -2*(g + (-6 - -2)). Solve i*x + 1 = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:39 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148185?\nAnswer: 3, 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -55.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -5*k**3 + k**2 - 7*k - 8. Let b(h) = -700 - 704 + 1404 + 3*h**2. Determine w(b(m)).\nAnswer: -90*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*z + 120*z + 38*z = 41452. What is the highest common factor of 16 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 + 6*f**3 + 65*f**3.\nAnswer: 71*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319.84 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*l + 328*l + 3654 + 4991 = 236*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5 + 63886*h**4 + 127780*h**3 - 255544*h**2 - 511104*h = 0 for h.\nAnswer: -2, 0, 2, 63888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -146.907. Let c = 0.194 - d. Round c to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 3*i - 36 = 2*o, -4*o - 5*i + 4 - 32 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2079264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 968*a - 117128.\nAnswer: -2*(a - 242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-92)\/8*6. Suppose -n - 32 = -5*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1419 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u**3 + 59*u**3 + 44 - 94*u**3 + 10 + 25.\nAnswer: 9*u**3 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q**(-1)*q))\/q*q*q*q)*q**(-2))\/((q*q**(-4\/5))\/q**(-2)) assuming q is positive.\nAnswer: q**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4137, -4138, -4139, -4140, -4141?\nAnswer: -4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let v(b) be the third derivative of -3*b**5\/20 + 7*b**3\/6 - 322*b**2 - b. Calculate d(v(t)).\nAnswer: 9*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or -1680975.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 985, 7842, 26447, 62674, 122397, 211490, 335827?\nAnswer: 501282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -868166 + 868166 + 72*n**2 - n + n. Let j(a) = 3*a. Calculate b(j(t)).\nAnswer: 648*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xph when three letters picked without replacement from vxxhvvhxuvhvp.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -207206, -207205, -207204?\n\"Answer: a - 207207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -50626 (base 7) to base 12\nAnswer: -7167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 + 0 + 7668\/60. Is 117 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 2*x + x + (4 - 4 - x)*(-3 + 2 - 3) - 6 + 4*x + 10 - 16*x.\nAnswer: -7*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -22, -13\/18, 0, -3, -0.2.\nAnswer: -22, -3, -13\/18, -0.2, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i - 57 = k, -54 = i + 2*k. Let p = -58 - i. Suppose 4*w - 521 = -v, -p*v = -v - 1. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154558656*z**3 - 309117270*z**3 + 154558658*z**3 + 2*z**2.\nAnswer: 44*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4*d**4 - 2*d**4 + 3*d**3 + 3 to the form u*d**2 + b*d**3 + z*d + n + x*d**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**3 + u**2 - u - 3. Let x(n) = n**3 + n**2 + 1. Let r(i) = b(i) + 5*x(i). Let w = 13 + -7. Give r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 30 - 12. Solve -3*k - 9 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/5 + -22\/45. Which is the third biggest value? (a) 1 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11 less than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 435*s**2 + 618*s.\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28778, -28791, -28804, -28817, -28830?\nAnswer: -28843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160861 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 5*w - 6. Let q be x(4). Let m be (2\/(-6))\/(4\/(-12)). Let s be 63\/14*m*q. What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804950 is divided by 67?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1145 (b) -3\/7 (c) 29 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-1 - (-4)\/(-2)). Let l be (0 + 6)*(-2)\/(-4). Suppose -35 = -k*s - l*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.08572 centuries to decades.\nAnswer: 90.8572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -56. Suppose 4*n + 1 - 17 = 0. Let j(l) = 2*l - 1. What is the remainder when v is divided by j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 43*v**2 - 19*v + 34. Give i(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5530488 and 54?\nAnswer: 49774392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -17256*g - 1035348. What is s(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20981080.\nAnswer: 2, 5, 431, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 11*l - 9. Suppose -4*p = 3*b - 5*b - 16, -5*b + 4*p - 52 = 0. Let h be i(b). Solve -14 = -y - 3*d, -2*d + h*d = 4*y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + ((sqrt(90)*1)\/sqrt(6))\/((sqrt(99)\/sqrt(3))\/sqrt(11)))**2.\nAnswer: 20*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 102144.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:48 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:50 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 17. What is the smallest value in 0.1, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/10)\/(1*(-2)\/36). Let b(l) = l**3 + 9*l**2 + 3. Give b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*l*z - 2*d*l + 4457*d*z - 3*l*z + 774*l - 9 with respect to l.\nAnswer: d*z - 2*d - 3*z + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101101100 + 111100?\nAnswer: -1101100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 242154248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n**2 + 0*n**2 + 2*n**2. Let k(s) = -9*s**2. Give k(m(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 5:38 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 3*s - 6. Is i(5) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*k - 91200204 = 39793356. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -177 + -1?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246200 a multiple of 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2287119 is divided by 534?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/325590 and -157\/455826?\nAnswer: 2279130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.035 and -8.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y + 0*y)*((2*y**2 + y**2 - 2*y**2)*(-2*y**2 - y + y) - 2*y**2 + 5*y**4 + 2*y**2 + 10*y**4 + 8*y**4 - 19*y**4 - 2*y**2).\nAnswer: 4*y**5 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11156 times 52\nAnswer: -580112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/148*8\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-2*w**3 - 4*w**3 + 0*w**3 + (-2 - 6 + 5)*(2*w**3 - 4*w**3 + 3*w**3) - w + w**3 + w + 4*w**2 - 4*w**2 + 2*w**3).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -3) + -6)\/(((-8)\/1216)\/(8\/(-192)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282365.7 less than -142976?\nAnswer: -425341.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3993, -3, 1, -2 in descending order.\nAnswer: 1, -2, -3, -3993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3197*p + 1128*p + 101381 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-3)*(-405)\/(-486). Put f, 0.3, -1.1, -5 in decreasing order.\nAnswer: 0.3, -1.1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/17877 and -2\/5841.\nAnswer: 589941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 13 = -a, -3*y = 34*a - 30*a + 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95118 + -136388. What is x rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 149*d - 17. Is l(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.3603 - 361340.6397. Let m = n - -361348.6699914. Let y = -0.33 - m. What is y rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) - 3515\/925*5\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 198298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*24\/90*(-125)\/1400\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.26422l to millilitres.\nAnswer: 27264.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 1 + sqrt(7) + 4) + -1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 24 = -g, 4*g + 0 = 3*y - 37. Suppose y*z = 16 + 96. Calculate the smallest common multiple of 12 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/4*(-280 - (-350250)\/1250).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 4, e: 6, h: 4}. What is prob of picking 3 h?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.592149 tonnes to kilograms.\nAnswer: 4592.149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 8009939903734?\nAnswer: -8009939903731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72640 and 720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*5*(sqrt(325) + 1 + 1 + -2))**2.\nAnswer: 292500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/4, -10\/129, 4\/5, 0.4, -0.122?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 433 - -2074. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115302 is divided by 27882.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9669*c + 4. Let p(s) = 28992*s + 11. Determine 8*o(l) - 3*p(l).\nAnswer: -9624*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381*-12.\nAnswer: 4572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135\/548 + 1\/274. Which is the closest to 1\/6? (a) -1\/6 (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 + s + 2. Determine w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68486*g**2*s**2 - 3741*g**2*s + g*s - 4*g - s wrt s?\nAnswer: 136972*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b**2 + 14*b - 4. What is s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6071, 6299, 6529, 6761, 6995, 7231, 7469?\n\"Answer: d**2 + 225*d + 5845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 476369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8\/13, -2, 15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026044 is divided by 871.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-665))\/((-2)\/5)*14\/(-9).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 49*b + 21. What is v(24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -4 + 0 - 2. Let k be (2\/y)\/(13\/39). Sort 4, -2, k, 0 in decreasing order.\nAnswer: 4, 0, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -19. Is (-7 + b)\/((-2)\/37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 - -5.09. Let s be 10\/(-8)*6\/(-15). Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126*(-95)\/(-7980)*19\/6?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.5 times -71.51736?\nAnswer: 1323.07116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 122083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -16. Let k = 2592 - 2597. Put -2, k, o in descending order.\nAnswer: o, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v - 33. Let s be a(4). Suppose q + 2242 = s*b, 5*q + 141 = -b + 899. List the prime factors of b.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 2102?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12 + 17*g + 18*g - 13*g + 17*g wrt g.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(4 - 9 + 4) + 1 - 3 + 3)*(-2*w + 3 - 3).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/((m\/(m\/(m\/((m**(1\/2)*m)\/m))*m))\/m*m)))*m*m)**(4\/15)*((m*m**(1\/3))\/m)**(-47) assuming m is positive.\nAnswer: m**(-221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 403.8682574823.\nAnswer: 405.8682574823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7155 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 147 and 190.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120560 and 10480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-3)\/2*(2952\/(-54) + 12).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + (-10 - -2 - -16) - (10 - -1)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + -1 + ((sqrt(312)\/sqrt(6))\/sqrt(4) + sqrt(13) + sqrt(13) + sqrt(13) - sqrt(13)) + 2.\nAnswer: 1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/91 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/7 + 4*k**3\/7 - 2*k\/7 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*d = 4 + 2, 0 = -t - 3*d - 9. Suppose -7*a + 3*a + 156 = t. Suppose 2*g = -2*x + 96, 2*g = -x + a + 13. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.98495 and -164?\nAnswer: 1473.5318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 723646 and 814?\nAnswer: 723646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*g + 114*g + 494 = 0. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {a: 1, p: 6, g: 5, r: 5, y: 3}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2308883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17837060.53069 plus -120?\nAnswer: -17837180.53069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31 - 14*m + 31 + (-4 + 1 + 2)*(-5*m + 3*m + 4*m) + 2*m - 4*m + 0*m + (5*m + 8 - 8)*(6 + 0 + 13) + 3*m + m - 2*m.\nAnswer: 79*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7221*r + 3607*r + 3612*r - 21642 to y*r + v and give v.\nAnswer: -21642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 608532244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1011110010010 (base 2) to base 16\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 426 + -425.99991408. What is s rounded to 6 decimal places?\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 247?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 7*r**2 + 6*r - 16. Let u be s(7). Let b(a) = 4*a**3 + 3*a**2 - 3*a - 3. Let q(p) = 17*p**3 + 13*p**2 - 13*p - 13. Determine u*b(f) - 6*q(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 - 95*y**2\/3 - 1175*y - 9375 = 0. Calculate y.\nAnswer: -15, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**4 - v + v**2 - 4*v**4 + 1 + 0*v**2 + 0 in the form u + d*v**2 + l*v**3 + z*v**4 + h*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/8)\/((-3)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - -285. List the prime factors of x.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 - (19 + (19 + -3 - -13)) - -3?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -780 - -783. What is the nearest to -1 in x, -2\/11, 4, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + 1 + sqrt(245) + 5 + sqrt(245))*2 - (sqrt(245) - (-5 + sqrt(245)*2))*-2)**2.\nAnswer: 1232*sqrt(5) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 31, 0, 1, 2.\nAnswer: 0, 1, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-11) + (-24)\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1190 - 1193. What is the smallest value in 2\/13, -8.9, 0, w?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 11:33 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 813791787 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: Which is the third smallest value? (a) 0.3 (b) 4 (c) 90 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 471854935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -10*o + 11*o. Let g be 1\/(o\/((-12)\/4)). Suppose 6 = 3*d - 6. Put g, d, 2 in increasing order.\nAnswer: g, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17311496.\nAnswer: 2, 53, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 199*v**2 - 206.\nAnswer: -199*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(300\/(-111352)) + (-12)\/(-90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-18)\/377)*2430\/(-1620). Is d at least -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52467*q**2*v**5 + 5*q**2 - 1187*q*v**2 wrt v.\nAnswer: -3148020*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131950724 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2 - 1394*a + 35115?\nAnswer: -2*a - 1394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 31041*d + 1. Let b(u) = -u**2 + 21. What is b(y(t))?\nAnswer: -963543681*t**2 - 62082*t + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423 and 15792.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 528\/(-120) + (-4)\/(-10). Let s(h) be the first derivative of -h**4\/4 - 2*h**3\/3 + 2*h**2 - 3*h + 1. List the prime factors of s(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29239*o**2 - 58480*o**2 + 29248*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 212. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 82, 96, 112?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:54 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p = -2. What are the prime factors of (p + 0)\/(14\/(-91))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 896*i = 900*i - 62, b - 5*i = -58 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2221 + -20?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480356?\nAnswer: 2, 29, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3561436 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 614265402 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11445*c + 11473*c + 1036 = 0 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -4, 84\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Let m(v) = -5*v**2 + 2*v + 3. What is -m(h) - y(h)?\nAnswer: 5*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 55*c**2\/3 - 350*c\/3 + 125 = 0.\nAnswer: 15\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*i = -2*h + 181*i + 8, 0 = i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2390 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405))**2*3 + ((sqrt(405) + -2*sqrt(405))*-1)**2.\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p - 8. Suppose -x - 83 = -l, -3*l + 0*x - p*x + 254 = 0. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14495 + 14506. What is the smallest common multiple of f and (4\/3)\/((-1)\/(-3))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2102*n - 3094*n - 355379 = 211557 - 125276 for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.32 times -0.1?\nAnswer: -1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 1. Let f = 1043 + -1038. Let y(o) = -o**3 - o**2 + 7*o + 4. Let m be y(-2). Let h(s) = 4*s. Calculate f*d(b) + m*h(b).\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43768645?\nAnswer: 5, 127, 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1040)\/(-624)*27\/105?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*(d*(d**(1\/12)\/d)\/d*d)\/d)*d*d)\/d**4)\/(d**8*d\/d**(-2\/7)) assuming d is positive.\nAnswer: d**(-787\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + 198. What is the smallest value in -0.03, 1.1, u?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 12*c**2 - 33*c - 45. What is b(-12)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 3:21 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {o: 3, w: 2, n: 1, v: 3, u: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 11*o + 10710. List the prime factors of o.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 9461 + 2\/(-4)*-48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:59 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30420, -30434, -30452, -30474?\n\"Answer: -2*x**2 - 8*x - 30410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*d + 17 = 0, -16*s - d + 132 = 52*s + 673 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 8*y - 8. What is the common denominator of o(6) and 9\/15 + 9\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -21*h**3 + 4*h**2. Let o(y) = 4*y**3 - y**2. What is -11*o(f) - 2*x(f)?\nAnswer: -2*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 541128587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 + 245634186*b - 5028012777656883 = 0. What is b?\nAnswer: 40939031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -903 = -1675*g + 1668*g. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3161721386 - 14595.6\nAnswer: -3161735981.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1374, 2789, 4200, 5607?\nAnswer: 7010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/2*11\/(-1386)*-7. Find s, given that 0 - 2\/9*s**2 + 2\/9*s**3 - a*s = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by -7\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 4. Let j(b) = -b**2 + 7*b - 5. Let l be j(7). Let t be z(l). Let c = t - 6. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:25 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -26*i + 6. Let r(u) be the first derivative of u**2 + 65. What is r(c(a))?\nAnswer: -52*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 180671 = h. Suppose 14*t - h - 19373 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82, -1031, -3704, -8965, -17678?\n\"Answer: -144*f**3 + 2*f**2 + 53*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1960628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-75870)\/(-2529).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (4 - -9) - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25439 + 5630 - 5336 = -201*y - 6050 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.91 - -0.09. Let f = 1.6 - 2. Let b = 4.1 + -7.1. What is the closest to b in q, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkkkggd. Give prob of sequence dgg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 21, -62, -271, -654, -1259, -2134?\nAnswer: -3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*n - 996 = 38 - 110 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 13*q + 2430. Let l = 1067 + q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342\/(-684)*4\/((-1)\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.58 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1579678883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222 + 225. Solve 5*i = -u - 21, -4*u = d*i - 2*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/9, -162, -1\/23, 1, 8?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*m + 55 - 20 = 0, -m = 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*n - 50*n**2 - 84*n)*(n**2 + 1 + 36*n - 20*n**2 - 37*n) as y + t*n + w*n**4 + j*n**2 + f*n**3 and give w.\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 6*a + 107881 = 3*x, -2*a = 10. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (5 + 0 - ((-22 - -31) + -5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-5*m - m + 3*m)*(0*m + 5*m - 7*m)*(0 - 2 - 3)*(-2*m + 4*m - 5*m).\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55862 rounded to 2 decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517855.8ns to milliseconds.\nAnswer: 0.5178558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 325304 or 324712?\nAnswer: 325304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 4*j**2 + 2*j**2 + j**2 + j - j + (-2 - j + 2)*(-2*j + j + 2*j) - 4*j**2 + 0*j**2 + 2*j**2 - 22*j**2 - 66 + 66 + 4*j**2 - j**2 - j**2.\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 220*g**3 + 2*g**2 - 15*g.\nAnswer: -60*g**2 - 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/6)\/y**(-3\/8)*y**(-9)\/(y\/(y**(4\/3)*y*y)) assuming y is positive.\nAnswer: y**(-131\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 26*y**2 + 73*y - 228. Let p(f) = -3*f**2 + f - 1. Let i(t) = -2*h(t) - 18*p(t). Find s such that i(s) = 0.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 113 = 4*c, -3*c + j - 36 = 40. Let g = -21484 + 472739\/22. Find the common denominator of (-3)\/(-8)*28\/c and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 9*n + 1. Suppose -v - 1 = 0, -5*v + 23 + 2 = -5*h. What is b(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + n - 4. Let u be 3 - 196\/68 - (-567)\/(-51). Which is greater: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -23314?\nAnswer: 23304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 0.8 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*t - f, -82*t + 81*t - 23 = 6*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = 3*y, -4*u + 4 = -3*u + 3*y. Suppose -m + 4*c - 5 - 8 = 0, 17 = -5*m - u*c. Let w = 3 - 2. Sort m, w, -4.\nAnswer: m, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*y**3 + 395865*y**2 - 316728*y + 63348 = 0. Calculate y.\nAnswer: -5279, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2.032?\nAnswer: 8.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -1.83. Let i = 1.8 - w. Let d be (-5)\/(-2)*(-5 + 24\/5). Which is the second biggest value? (a) i (b) d (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1734294683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16256.7983 and -206833.\nAnswer: -223089.7983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -229\nAnswer: 33\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.070487, -3\/8, 2\/15, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 777 (c) -0.15 (d) -5 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5060.6 - -5061. What is the closest to 2\/9 in 0.1, l, -0.3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**4 - 2 + 2)*(-2 - 7 - 13) as z*q**3 + v*q**4 + m + h*q + i*q**2 and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1624 - 10*a - 181471*a**2 + 181506*a**2 + 5*a with respect to a.\nAnswer: 70*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*j - 30, 2*j - 6*j = 5*d - 46. Suppose -2*t + d*t - 236 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60006 is divided by 5999.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkpkrdkbkrkbk. What is prob of sequence bbkb?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 28*i - 224 + 473 - 225.\nAnswer: -28*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:44 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75950717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -45*z**2 - 513*z + 65. What is s(0)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6152 + 222?\nAnswer: -5730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240*k**3 + 1005 - 1005)*(2 + 3 + 16).\nAnswer: -5040*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.044\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132872.\nAnswer: 2, 17, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8628 - -8637. Suppose 4*r = 11 + 13. What is the remainder when x is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8793957, -8793954, -8793951, -8793948, -8793945?\n\"Answer: 3*g - 8793960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247078352 a multiple of 1811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4105 - -4111. Suppose 0 = -a + 4 + 3. Let k = a + 51. What is the least common multiple of k and p?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 1133230133?\nAnswer: 1133230211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -278 - -282. Let b be 2 + 0*(-5 + r). Solve 2*z - 3*t - 4 = z, -3*z = -4*t - b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90*j**2*n*t - 5*j**2*t**2 - 622*j**2 + 2284*j*n*t**2 - 10*j*t wrt n?\nAnswer: 90*j**2*t + 2284*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5210870450 to the nearest 1000000.\nAnswer: 5211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*h + 16 = 2*j, 0 = 5*j - 3*h - 26. Suppose 5*v = -o + 62 - 5, -5*o = -5*v - 15. Solve j*r = o*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.000035 + 23. What is h rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-8) + (2636517\/(-20904) - 1\/(-2)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 20*f + 4 + 49*f - 26*f.\nAnswer: 43*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 38*m + 2. Let v(h) = -6*h**2 + 190*h - 11. Give -11*d(s) - 2*v(s).\nAnswer: s**2 + 38*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*18\/(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j - 5*q + 237 = -168, 0*j + 4*j + 197 = 3*j + 4*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 23 = -5*s, -212884*k + 212878*k = -4*s + 40 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*g - 15, -2*g = -3*g + 1. Let p be (w\/(-5))\/(1\/(-100)). Let t = p + -19. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/36*4 - (8 + 12052\/207). Which is the closest to 1\/3? (a) 0.06 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260385479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 185*s - 180*s. Solve s = -2*y + 22 - 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -2*j**3\/3 - 5*j**2 - 2*j - 6. Let l(c) = -2*c. Determine x(l(s)).\nAnswer: 8*s - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 18. Let j(g) = g**2 - 2*g - 3. Let i be j(3). Suppose 2*z + 5*u - 15 - 11 = i, x = 2*u. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - 8 - -6 - (-1 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4\/15, 1\/4, -1, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 + 2*t**2 + 4. Let u(c) = -2*c**3 - 3*c**2 - 5. Let s(x) = -5*d(x) - 4*u(x). Find the third derivative of s(i) wrt i.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 4. Let i be g(3). Let w(n) = 8*n - 1. Let m be w(1). Let l(o) be the first derivative of 5*o**2 + 20. Let b(r) = 7*r. Give i*l(u) + m*b(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 + 19 - (-3 + -14)) + -14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68080.7 + -255?\nAnswer: 67825.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 782 - 782.1. Let g = 0 - -1. What is the closest to r in -0.08, 3\/5, g?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((9 - (-7 + 8 + 13)) + 21 + 27)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and -1182.\nAnswer: -72102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/11 - 98*v\/11 - 156\/11.\nAnswer: 2*(v - 26)*(2*v + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1857*i + 1 - 4494*i - 1 in the form m*i + g and give m.\nAnswer: -6351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*h**4 - 1\/6*h**2 + 0 + 0*h**3 + 0*h.\nAnswer: h**2*(h - 1)*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 50c3?\nAnswer: 50c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 times -0.5?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - 17*o + 10. Let w be i(5). What is the highest common factor of 11350 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -11 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 - 220.9. Let f = 56 + -30. Let o = f + n. What is o rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*g = 346 - 274 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39660000 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5 + 1735*z**4 - 25150*z**3 + 44600*z**2 + 459520*z - 924160 = 0?\nAnswer: -361, -4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -5, 43, 111, 199, 307, 435?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6975\/(-6))\/5*(-13)\/(-2223) and -79\/24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2283 divided by 1?\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(2\/27)*d)\/d)\/d**2*(d\/d**(1\/3)*d*d)**(10\/11))**47 assuming d is positive.\nAnswer: d**(18847\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 6. Let v = -28.5 + w. Round v to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*o - 5, 32*o + 5 = -5*t + 35*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - n + 0*n + 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -209, -221, -235, -251, -269?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 72. Solve -a + 2 = -t - 7, 21 = t + h*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 15*i + 22. Let z be (-438)\/(-27) + ((-64)\/36)\/8. Calculate the remainder when 126 is divided by d(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -178, -140, -98, -58?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.69 - 10922669.\nAnswer: -10922681.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5824\/5*f**2 + 6272\/5*f - 104\/5*f**4 + 0 + 2\/5*f**5 + 1128\/5*f**3.\nAnswer: 2*f*(f - 28)**2*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 + -32 - 19) + 35\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-98) - ((-74)\/7 + -1). What is the greatest common factor of t and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -43*g - 20*g + 55*g. Solve -4*t - 54*l + 53*l - g = 0, 16 = -t - 4*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 978 + -608. Let u = -360 + h. Calculate the lowest common multiple of 26 and u.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4 - 2\/(-4). Let f be 20\/((j\/48)\/(-1)). Round f to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 46*h - 7*h**2 + 15*h - h**3 + 7*h**2.\nAnswer: h**3 + 61*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -675 divided by -135?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.13 greater than or equal to 22928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 9. Suppose -2*i + 13 = -l. Let q(g) = -g**3 + 10*g**2 + 3*g + 2. Is 8 a factor of q(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.228926192.\nAnswer: 0.915704768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -92*p**3\/3 + 81055*p**2\/3 + 244759*p - 8010 = 0?\nAnswer: -9, 3\/92, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**2\/(l*l**(-7)*l*l*l**(-5\/6)\/l*l) assuming l is positive.\nAnswer: l**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/14850 and 139\/13500?\nAnswer: 148500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4 + 4)*(0*i - 2*i + 0*i) - i**2 + 1 + 4 - 6.\nAnswer: -3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 2*a - 9*a - a. Let i(g) = 6*g**2. Give i(h(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80130963*w**3 + 3619943*w**2 - 12*w?\nAnswer: -480785778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23383 is divided by 649?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 941808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**3 - 67*n**2 + 6*n**3 + 69*n**2)*(-275*n - 81*n + 97*n - 66*n) in the form x*n + g + u*n**3 + w*n**2 + d*n**4 and give u.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 5*u**2\/2 + 2. Let m be t(9). Let j be (-4)\/(-18) + 1620008\/m. What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 1\/10, -6, -1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -28. Let n = -1 - k. Solve -v + n = x, -v - 3*x = -7 + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 4*b**3\/15 - 4*b**2\/5 + 4*b\/5 - 1. Determine d so that y(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c + 37. Let s(x) = x**3 + 9*x**2 + 8. Let j be s(-9). Is 15 a factor of y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753*a = -520 + 520. Factor -3\/8*i**2 + 15\/8*i + a.\nAnswer: -3*i*(i - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82037?\nAnswer: 82037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 8:40 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*c = 24, -5*c + 24 = -3*o - 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13434679 is divided by 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**2*g)))**(9\/2)\/(g**(-3)\/g*g*g\/(g\/g**5)*g) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 - 3.72. Which is smaller: 138 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 + 2. Suppose -2*w - 1 + 7 = 0. Let j = -1 - w. What is the nearest to b in j, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 9:11 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(-44))**(-5\/9) assuming k is positive.\nAnswer: k**(440\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 21 = 18*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115788 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2*(-4)\/6*2)\/((-55610)\/(-1529275)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:52 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590189369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39 times 0.01\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6279.\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.21039 minus -0.023765?\nAnswer: 3.234155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 629 = -481. Suppose 2*a = 3*m - 1, -30 = -5*a - 5*m + 5. Suppose -p = a*p - s. List the prime factors of p.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(133)*1)\/(sqrt(63)\/(sqrt(9) + sqrt(9) + (sqrt(45)\/sqrt(5) - sqrt(9))) + sqrt(7)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3, 15*g - 19*g + 4*x + 764 = 0. What is the smallest common multiple of 42 and g?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:49 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -168. Let k be i\/21 - (1 + -1). Solve -4*l**2 + 4*l**3 + 2*l - 13*l**4 - k*l**5 + 31*l**4 + 2 - 4*l - 16*l**4 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/408*42\/49*10\/30?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344905 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(176)*2)**2.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1878591*r**3 + 12653498*r.\nAnswer: 11271546*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -5*o - 3*c + 186, 0 = 2*c. Calculate the highest common factor of 616 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.37, -4, -3\/2?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 276*p - 1600. What is z(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 94 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-2*h + 0*h + 0*h) + (-2 - 3 + 4)*(56 + 26*h - 56) as k + i*h and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610 divided by -122.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s**(1\/29)*s*s*s**(2\/125) assuming s is positive.\nAnswer: s**(18308\/3625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6898045 and 48944?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, -4\/5, 189, 6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**7\/1260 + 7*p**6\/72 - 41*p**4\/8 - 12*p**2 + 5. Let n(q) be the second derivative of z(q). Find d such that n(d) = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46359675*d*p**3 + 12442*p**3 - 83*p**2 wrt d.\nAnswer: 46359675*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 15*a**2 + 14*a + 6. Let k be u(14). Suppose 0 = 3*l + i - 6 - k, 4*l + 5*i = 5. Solve -2*o - l*n + 4 = 0, -2*n = -5*o - 3*n + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.127951 + -0.020951. Let q = p + -0.107. Let y = q + -42.3. What is y rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -19*p**2 + 1573. Let j(h) = 77*h. Calculate f(j(y)).\nAnswer: -2926*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5*i + 20 = 0. Factor b**2 - 6*b**2 + 753*b - 768*b + i.\nAnswer: -5*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -3*i**5\/5 - 27*i**4\/2 - 61*i**3 + 270*i**2 - 300*i - 1471. Factor f(c).\nAnswer: -3*(c - 1)**2*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(13*b - 39*b - 125*b)*(-7*b**2 + 8*b + 0*b + 5*b**2).\nAnswer: -302*b**3 + 1208*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Put g, 0.04, -1\/4 in descending order.\nAnswer: 0.04, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-25)\/24))\/(150\/(-1750)*7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 7 - 7)*(s**3 - 4*s**3 + 5*s**3) - 4*s**4 - 27*s**3 + 3*s**4 - s**4 in the form d*s**4 + a*s**3 + w*s**2 + r*s + p and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - a**2 + a**2)*(-9*a**2 - 17*a**2 - 32*a**2) + a**4 - 3*a**4 + 14*a**4 to h*a**4 + v*a + o + x*a**3 + d*a**2 and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 21*r**2 + 3*r - 58. Let a be z(21). Solve y + a = 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbxoxbxux. Give prob of sequence oxx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 12*u**2 + u + 1. Let w(b) = -2*b - 5. Let x be w(-4). Suppose -5*v - j = -5, -x*v + v + 5*j + 29 = 0. Is a(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88521605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8688159 rounded to the nearest one thousand?\nAnswer: 8688000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3360 and 6048.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -824 and 0.051806 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4))\/(16\/64)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 divided by 87?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = p, p = -3*r + 25. Suppose 2*o - r + 3 = 0. Suppose 4*i + l = 11, 3*i + o*l = -2*l + 5. Which is the biggest value? (a) i (b) 2\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32259 or -32258?\nAnswer: -32258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/3)\/(d\/d**(-4))*d*d\/(d*d*d**(-2\/11)*d)*d*d*(d*d**(1\/3))\/d assuming d is positive.\nAnswer: d**(-104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36921048 and 65\/360792.\nAnswer: 110763144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39080913 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 4*j**4\/3 - 4*j**2. Suppose -p = -7*p + 72. What is the remainder when k(1) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/1907*(-2)\/30. Let j = r + 905819\/57210. Calculate the common denominator of (-94)\/8*(-16)\/(-64) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172 - -177. Sort 11, r, -4 in ascending order.\nAnswer: -4, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*u + 947 = -1060 - 1374. Solve 36 = 15*r - u*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, l: 2, w: 10, i: 6}. What is prob of picking 4 w?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 221*c - 9*c - 21655 + 43307 + c**2 - 21650 - 2*c**3 + c**4 in the form i + t*c**3 + n*c + l*c**2 + m*c**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3330068m to nanometers.\nAnswer: 333006800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-3 - 4) - (12 + -10) - 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1014)\/160 + 6\/15 and ((-65)\/10)\/((-8)\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194778 and 12933?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -1772, -3964, -7022, -10940, -15712?\nAnswer: -21332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32575?\nAnswer: 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldwvldlxwlxllxdldd. Give prob of picking 1 x and 2 w.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-24))\/((20\/(-4))\/(-15)). What is the nearest to 0.8 in 3, 3\/5, o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -100*g**3 - 10*g - 91*g**3 + 8*g + 192*g**3 - 3*g**2. Calculate f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**3 + 4*b**2 + 4*b + 7. Let x(v) = -17*v**3 + 12*v**2 + 12*v + 20. Let z(y) = 11*w(y) - 4*x(y). What is the tens digit of z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 8*r**2 - 4. Let c be v(8). Let z be 13\/(-2) - (-2)\/c. Let q be (-5 - (-4 - -1))*z. Calculate the highest common divisor of q and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 3, -20 = -5*h - 9*o + 14*o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -138, -179, -258, -387?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1404544 and -53\/263352.\nAnswer: 4213632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/77*11 + 62\/(-70).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -26*j**2 + 9*j. Suppose 4*p - 2*p - 34 = 0. Let x(b) = -9*b**2 + 3*b. Let r(i) = p*x(i) - 6*n(i). Find the second derivative of r(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(125) - (-4 + sqrt(125))*-5 - sqrt(125)) + 5)*-4)**2.\nAnswer: -300000*sqrt(5) + 1340000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11135838349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 1 s when three letters picked without replacement from rpssrkswwksjssw.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 80?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/377 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f + 56*z - 55*z, -2*z + 15 = 5*f. Suppose -5\/2*x - 1\/2*x**2 + f = 0. What is x?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*t + 158*t + 49 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -164. Suppose 3*x - l - 225 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -351*t**2 + 104*t. Let l(r) = 10*r**2 - 3*r. Determine -104*l(m) - 3*z(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 12 - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/99 - 98\/(-72). Let r(d) be the first derivative of -4 + 2\/3*d**3 + 0*d + 0*d**2 - v*d**4. Find the third derivative of r(b) wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -415.201688134 + -15507511.798332866. Let i = k + 15507934. Let n = i + -7. What is n rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (sqrt(700) + -2 + -1)) + sqrt(700) + -2*(sqrt(700) + 4)**2 + -2.\nAnswer: -1431 - 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t**3 - t**2 - 3*t - 2. Suppose -d - 2*g = -5*g - 14, -4*d = 5*g + 29. Give y(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.199935 - -0.2. What is d rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 + 5. Let o be q(-7). Suppose -i = i + 4, 3*d - o*i = 40. Let m be ((-15)\/d)\/((-6)\/8). Sort 0, 5, m in increasing order.\nAnswer: 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -425 + 430. Let x be 2*5*3\/6. Let v be (-10)\/4*(-12)\/10. Solve -4*c = -x*t - v, q*t = -10 - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 9363 = -9509. Suppose -5*n - 3*n = -y. List the prime factors of n.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(4) - 6*sqrt(12)\/sqrt(3)))\/(-3*(sqrt(4) + sqrt(16)) - sqrt(40)\/(sqrt(10)*-1)))**2*-3.\nAnswer: -3\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 0.252 (c) 1\/32 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*8)\/(200\/(-20))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12147 from -231.87.\nAnswer: -231.99147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:27 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 + 10.28. Let s = u + -15. Which is the second biggest value? (a) 0.2 (b) 2 (c) 2\/5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 673*g**3\/3 + g**2 - 2*g - 3. Let o(q) = -12*q - 59. Let f be o(-5). Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8688 + 8830. Solve 0 = 4*l, -145*o - 4*l = -i*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196555.\nAnswer: 5, 19, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5383 - -5383.06. What is the smallest value in 6, v, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1700 - 1688. Calculate the lowest common multiple of w and 1587.\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -5*z**5\/4 + 10*z**4\/3 - 5*z**3\/6 - 5*z**2 + 625*z. Suppose v(h) = 0. Calculate h.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2. Let y(k) = -8*k**2. Let i(m) be the first derivative of -7*m**3\/3 + 4. Let v(x) = -6*i(x) + 5*y(x). What is v(z(l))?\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:12 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.54 and -34?\nAnswer: 18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000126524392 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - -82*(-228)\/(-40). Let o = l + 182. Let n = -358 + o. Round n to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 29 = -y, -2*z = -2*y + 8 - 24. Suppose -z*r = -18*r + 561. Let k = 44 + -27. What is the highest common divisor of k and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455690 greater than or equal to 6379677\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f**5 - f**3 + 624*f**2 + 45658*f wrt f.\nAnswer: -180*f**3 - 6*f + 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l. Let c be (-1)\/(-6) - (2 + 4 - (-53)\/(-6)). Let w(q) = 2*q**3 + 4*q**2 + 2*q. Determine c*p(f) + w(f).\nAnswer: -f**3 + 4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133)*-2 + sqrt(133))*1)\/(4*-3*sqrt(343)).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6505 + 369. Let r = v - 6869.00016. Let j = 5 - r. What is j rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 33. Let d = h - 4. Calculate the remainder when 16 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 - 39*d - 13. What is i(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11499117823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*(-1 - 105\/(-6)). Let y be 24 + q + (35 - -1). Calculate the greatest common divisor of y and 228.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 w when three letters picked without replacement from tialywyti?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) - 1 - 0. Suppose -7*a = -o*a. Let h = -22335 - -22340. Solve -l + 1 - h = a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1694 divide 225173256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12524.968 + -12525. Is 64 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Let q(a) = 475*a**2. Determine q(h(v)).\nAnswer: 1900*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16584499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 234897?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4870.6 - 4871. What is the closest to 0 in -0.2, 3\/41, -4\/3, t?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.39 in -1, -19\/41, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20385 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 17. Let u be ((-21)\/(-2))\/(0 - (-12)\/56). Calculate the greatest common factor of c and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaucuu. Give prob of picking 1 a, 2 u, and 1 c.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12426582 divided by -12426582.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111 (base 2) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 17*d + 16. Let w(o) = -o**2 + 203*o. Give f(w(u)).\nAnswer: -17*u**2 + 3451*u + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -3, 78 in increasing order.\nAnswer: -3, -1, 2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93509 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-46*y + 16*y + 172 + 29*y).\nAnswer: y - 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -222020?\nAnswer: -222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 1. Let t(k) = k**3 - 3*k**2 - 4*k + 1. Let x be (-14)\/(-4) - (-3)\/6. Let y be t(x). What is the units digit of s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -935521040*j + 434290132?\nAnswer: -935521040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*s - 443*s - 11238 + 1602 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*x - 2*x - 2*x)*(38 - 26 + 92).\nAnswer: -208*x - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1306 - 847?\nAnswer: -1b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1650 - 7?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.3992 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c - 9 = 0. Let q = 7 + c. Do q and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by 461.\nAnswer: -175\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1863\nAnswer: 9315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (4 - 2) - (-12 + (14 - -2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 86*s + 91*s + 43010 = 0, 43010 = 2*i - s. List the prime factors of i.\nAnswer: 5, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(28) + -3 - (sqrt(336) - sqrt(21))\/sqrt(3)).\nAnswer: -18 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196341.\nAnswer: 3, 65447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217 by 1.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -4. Calculate the remainder when 45 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74056.963 rounded to the nearest 10?\nAnswer: -74060","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 1197?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -328 + 711. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 2*q)*(0 + 1 - 2)*(-7*q + 12*q + 6*q)*(0*q**2 - q**2 + 0*q**2).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 108*l**5 + 1704543*l**4 - 6118625*l**3\/3 - 161285153*l**2\/3 - 316078975*l\/3 - 69055000\/3 = 0?\nAnswer: -15784, -25\/9, -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/60 + 79*f**2 - f + 2. Let h(b) = b**2 + 572*b. What is d(h(z))?\nAnswer: z**4 + 1144*z**3 + 327184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 40. Calculate the remainder when 155 is divided by n(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose -a*d = i - 5, 5*d + 0*i - 1 = -3*i. Find the second derivative of 5*v - d*v + v**5 - 2*v wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60000.619 rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -18937 + 18961. Solve f*d + 15 = 62*i - 65*i, 0 = -2*i + 5*d - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24881?\nAnswer: 139, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - k + 2. Let w be z(0). Factor t - 5*t**3 + t**3 - t**5 + 2*t**5 + w*t**3.\nAnswer: t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1840, 2101, 2360, 2617, 2872, 3125?\nAnswer: 3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*u + 4, -b + 5*u + 16 = -0*u. What is the units digit of -6*(-2)\/4*b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93.1584946 + -48.158505. Let d = -92 - -137. Let x = d - r. Round x to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 18*a**2 + 86*a - 60. Give w(13).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 11) to base 9\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13152 and 312360?\nAnswer: 1249440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 30444815.\nAnswer: -4\/30444815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 0)\/((-39)\/(-117)). Let t = 4 - 0. Solve -4*m = -t*s - 24, -m - 3 = p*s - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235\/6 or -38?\nAnswer: -235\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 20015*p + 200079. Determine k(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 16*b**2 - 3*b - 39. Let c(a) = -6*a**2 + 4*a + 26. Let w be c(3). Calculate the remainder when 62 is divided by z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 1, 8\/3, 19, 205, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/(-4) - (180395\/218)\/331?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1950*m. Let u(z) = 47*z. Let l(c) = c**2 - 55*c + 476. Let i be l(36). What is i*u(r) - 5*q(r)?\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7638341 is divided by 53791?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 4. What is the remainder when 2 - -34 - (-3)\/y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 12}. Give prob of picking 3 l.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -17 - 12 + 18 + 2*m - m. Let f(t) = 2. Give -10*f(c) - 2*z(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 16*s**2 - 37*s + 27. Let w be m(18). Solve -25 = 4*v - w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**2 - d**3 - 42*d**2 - 47*d**2 - 2*d**3 + 104*d**2.\nAnswer: -3*d**3 - 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -17. Let u(b) be the second derivative of -b**4\/12 + b**3 + 7*b**2\/2 - 32*b. What is the tens digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146886557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 40*b - 11. Let t(o) = -184*o + 1333. What is the remainder when d(7) is divided by t(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -37*o**2. Let n(s) = -3*s - 8. Let k(h) = -2*h - 2. Let u(a) = -4*k(a) + n(a). Calculate r(u(f)).\nAnswer: -925*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1031614 and 8282?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113415.\nAnswer: 3, 5, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20586 divided by 438.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 20 - 18 + 49 - 9*g - 23.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4\/9 + 1784300*l**3\/9 + 24981964*l**2\/3 + 87438932*l = 0.\nAnswer: -21, 0, 446117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puup when four letters picked without replacement from {u: 2, p: 5, j: 8}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134550.1814485 - -141154.96344. Let g = 6602.082 - y. Let q = 2.7 + g. Round q to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 + 203 + (-3 - (2 + 14 - -1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 12:02 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4522808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5496 > -5612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-7 - (4 + 293300\/(-26663))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -234*j**2 + 2*j. Let d be o(6). Let v = -2288 + d. What is v rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*b**2 - 55*b**2 + 1 - 24850*b + 24769*b to j + i*b + t*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.053911 and 239.\nAnswer: 12.884729","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 3831*m**2 - 5241*m**2 + 3*m + (4 - 4 - 2)*(-6*m**2 + m**2 + 4*m**2).\nAnswer: -1408*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/(f\/(f*f\/f**(5\/3))))\/(f**(-2)*f**5)*(f**(4\/3)*f**(-3))\/((f*f*f\/f**(-9))\/(f**(2\/9)*f)) assuming f is positive.\nAnswer: f**(-1033\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + a. Suppose 6 = 5*k + 3*b - 5, 0 = -2*k + 2*b + 14. Suppose 0 = -2*d + 10, 14 = -8*r + k*r + 2*d. Calculate y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + y**2 + 3*y. Let r(l) be the first derivative of -l**4\/4 - 2*l - 1. Let w(h) be the first derivative of r(h). What is q(w(p))?\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*d - 0*d - 7, -5*d + 2*a + 3 = 0. Let b be (4 + -3)\/(d\/3). Suppose 5*s + 15 = 5*x, -b*x = 4*s - 0 - 16. Solve -x*q - 5 - 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 0 + 0)*(-4 + 2 - 1).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30693899?\nAnswer: 617, 49747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 154, 732, 2200, 5002, 9582, 16384, 25852?\n\"Answer: 74*y**3 + y**2 + 57*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v - 4. Let c be 12\/(-10)*(v - 8). Let p be ((-1)\/(-2))\/((-4)\/(-144)). Calculate the greatest common factor of c and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.032, -47\/2, 3, 7?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**7*p*p*p*p*(p*p\/(p**40*p)*p)\/p*p**(-4\/21)\/(p**(-11)\/p) assuming p is positive.\nAnswer: p**(-319\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568*r = -575*r - 42. Let t(w) = -3*w + 2*w - 6 + 3*w - 3*w. What is t(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i + 15. Put i, -4, 1, 2 in decreasing order.\nAnswer: i, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 7*c**2 + c + 9. Let r be b(7). Let m(d) = r - 11 - d**3 + 4 + 18*d**2 + 11 + 16*d. Is m(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. What is the least common multiple of 0\/(11 - 7) - -7 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -28. Suppose 130 = t*d - 330. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 304825339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let z = r - -32. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 781*i - 799*i - 162 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 33, 38, 35, 24, 5, -22?\n\"Answer: -4*r**2 + 25*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((73\/(-365))\/((-4)\/(-1340)))\/((-4)\/(-3)*-3).\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-25))\/((4\/20)\/(-1)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {l: 4, y: 2, z: 8, q: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose -s + d*s = 4227086. Suppose -9713543 = -f - s. What is f rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-5)\/(-15)*12\/(-2). Sort 0, d, -18, 2 in decreasing order.\nAnswer: 2, 0, d, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewm when three letters picked without replacement from msewsw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -14*k + 10. What is the least common multiple of u(0) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 92 (b) 0.2 (c) 0 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 - 580*w**4\/9 - 12044*w**3\/9 - 80080*w**2\/9 = 0 for w.\nAnswer: -28, -22, -130\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 208 = 20*y. Let h = -79 - y. Suppose -12*a = -h*a + 43017. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 377*n - 377*n + 37*n**2 + 755*n + 2*n**5 - 5*n**5 + n**5 - n**5 + n**5 - n**5 + 3*n**5 - 4*n**5 + 2*n**5 + (3 - 1 + 0)*(-1 + 2*n**5 + 1).\nAnswer: 4*n**5 + 37*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -17265, 2, 3 in ascending order.\nAnswer: -17265, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -960 divided by -48?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -2*f**3 - 4*f**2 + 15. Find the second derivative of d(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68410610 rounded to the nearest 100000?\nAnswer: 68400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/7 (b) -0.2 (c) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a3 - 5?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -32329599 = -32329594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/66)\/((-1 + -3)*(-21)\/(-126))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 5:49 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16993393?\nAnswer: 41, 89, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*m = -0*m - 32, -5*g - 4*m + 40 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.087 - 15\nAnswer: -15.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 44 = -25 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6642214.\nAnswer: 2, 3321107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpfgepgtupug. Give prob of sequence upf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 12:46 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.66 + 0.7. What is the nearest to 0 in 1\/10, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**4*p + 1204*c**4 - c**2 + 7*p + 4104 wrt c?\nAnswer: 8*c**3*p + 4816*c**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2)*12\/72.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 6, -1, 22.\nAnswer: -11, -1, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(325) + 2) + 3)**2 + (-2 + (sqrt(156)*-4)\/sqrt(12))*1.\nAnswer: 536*sqrt(13) + 11779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 10175 - 3035. Suppose 11*d = 2916 + n. What are the prime factors of d?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1529, -1631, -1731, -1829, -1925?\n\"Answer: b**2 - 105*b - 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h**4 + 2*h - h)*(9*h + 7*h - 5*h).\nAnswer: 11*h**5 - 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 796029\nAnswer: -2\/796029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 10.1. Let d = g + 12. Suppose -64*s + 67*s - 4*p + 14 = 0, 0 = 2*s + 3*p - 2. Which is the second biggest value? (a) -4 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 10*z**3 + 93702*z**2 - 2*z**3 - 93702*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-3) - (-459)\/42?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059054761 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 3046972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(1 + (-4 - -4)). Let s(q) be the first derivative of q**4\/2 + q**3\/3 - q**2 + q - 1. Let c be s(n). Solve k = c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4451 - -10818. What are the prime factors of d?\nAnswer: 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357939254 - -130.57.\nAnswer: -357939123.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 17. Suppose 0 = 3*z - 44 + 8. Suppose -27*q + 15*q = -z. Sort -2, d, q in decreasing order.\nAnswer: d, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -616116 divided by 51343?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853269751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5546 - -5923. Calculate the remainder when w is divided by 93.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, 0.3, -0.5, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.116 and 5512.\nAnswer: 5511.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 less than -316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*w - 56*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 31) + (2 - -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511991189?\nAnswer: 511991189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111011011111 (base 2) in base 9?\nAnswer: -256101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u - 21. Let j be f(2). Solve 3*b + o = -0*b + j, 3*b - 2*o - 23 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*q - 0*q. Let o = q + -19. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -7*k**5\/10 - 23*k**3\/6 + 5*k. Find the second derivative of x(j) wrt j.\nAnswer: -84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1053) + 0 + -2).\nAnswer: -54*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 6*j - 4. Let u(i) = i**3 - 8*i**2 + 9*i - 7. Let c be u(7). Give s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-198))\/8*6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from dgfka.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/3)\/(-1*(63\/81)\/7))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ofoffffff.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7287 + -7288. What is the closest to c in 7.4, -0.15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1098 and -157\/1830.\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 147342958 = 3*b, 4*b - 7*a + 196457219 = -2*a. Let i = -24214311 - b. What is i rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2423 (base 5) to base 16.\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 20 = -5*b. Suppose 5*x - 17 - 1 = -4*v, -b*x = 4*v - 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + q + 45. Let z be v(-6). Suppose 5*n + 15 = i + 4*i, 12 = z*n. Let p(f) = 3*f**2 + 2*f**2 - i*f**2. Let u(m) = 18*m. Calculate u(p(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2, -953.92, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f**3 + 56*f**2 + 29*f - 8. What is l(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15105 divided by -795?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 23*o + 71. Let u be -3*3\/(-18) - 180\/(-8). What is the remainder when v(u) is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-2)\/(1 - 2)). Let j be r + 3 + (-2 - 0). Is j > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 15, 4*q - o + 0*o - 2289 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(158\/(-10)))\/((-55)\/(-11)*123\/(-246))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n = 170*n - 1820 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036814054 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1446, -2902, -4358?\nAnswer: -5814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-15) - 178\/1968. Let q = -2\/41 - r. Find the common denominator of q and -10\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 8*j\/5 - 234\/5.\nAnswer: 2*(j - 13)*(j + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 657.72 and -0.49?\nAnswer: -322.2828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or -2217\/35?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118848921 and 3774.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -31*s**2 - 224*s + 156. Let t(i) = -5*i**2 - 38*i + 26. Let w(j) = -6*h(j) + 34*t(j). Let q(n) = n**2 + 3*n - 3. Give -104*q(u) + 6*w(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 2*t + 23. Calculate o(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let v be ((-16)\/80)\/(2\/(-30)). Put -4, b, v, -5 in descending order.\nAnswer: v, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20591664 by 6.\nAnswer: 3431944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -221*d**3*y**2 + 199*d**3*y - 14239*d**3 - 145*d**2 - d - 2*y**2 wrt y?\nAnswer: -442*d**3*y + 199*d**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -1 in increasing order.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 5. Let t be h(-2). Suppose t*u = 5*u - 290. What are the prime factors of u?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 66*k - 16. Let v(b) = b**3 - 6*b**2 - 9*b + 38. Let m be v(5). Determine j(m).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*f - 352 = 171*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 48736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)\/(x\/(x*x**(-1\/4)))*x*x**(-21)*x**(-18)*x*x assuming x is positive.\nAnswer: x**(-193\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {n: 2, p: 1, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 6*k - k)*(4*k**2 + 2*k**2 - 5*k**2) + 3*k**3 + 10 - 10 + (k + 0*k - 3*k)*(-k**2 - 2*k**2 + 2*k**2) + 4*k**3 - k**3 - k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -187? (a) 4 (b) 2\/5 (c) -1 (d) 1.2 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 0 + 2 - (44 - 29 - 13)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b2 + 4243b?\nAnswer: 42531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 30 = -x + 118, 4*x = 2*m + 568. Let y be (-4296)\/(-88) - 6\/(-33). Suppose -y = 3*w - 103. What is the greatest common divisor of w and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**4\/20 + 2*s**3\/15 - s**2\/10 - 3. What is z in d(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -416.7 - -441. Let q = -1.3 + h. Let m = q - 23.0000022. What is m rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197616+0.408917\nAnswer: -197615.591083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 - -6 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (29 + 17 + -96)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33802 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 8, -3, -2\/11, 2, -40?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -118, -276, -560, -1012, -1674, -2588?\n\"Answer: -7*l**3 - 25*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 2*p**2 + 81*p**2 - 175*p**2 - 8*p**2.\nAnswer: -109*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9675300, 9675298, 9675296, 9675294, 9675292?\n\"Answer: -2*y + 9675302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6449251?\nAnswer: 1019, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 - 5*b + 3. Let o be l(-4). Let v = o - -64. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let i(n) = 2*n**3 + 5*n**2 + 7*n + 5. Let h(z) = -z**2 - z - 1. Let u(w) = o*i(w) + 5*h(w). What is the second derivative of u(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2555 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 42. Let x(t) = -t - 45. Let v(k) = 13*d(k) + 12*x(k). Give v(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 33*t**3 + 4*t**2 - 4. Let a(v) = 194*v**3 + 26*v**2 - v - 25. What is 2*a(s) - 13*j(s)?\nAnswer: -41*s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10899 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f. Suppose -5*n + 0*j - 3*j + 27 = 0, 4*n + 3*j = 24. Suppose n*s = -s + 28. Let l be c(s). What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 + 4. Let t = 1.5 + h. Let s = -1 + t. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 4*v + 5*l, -v = 21*l - 16*l - 75. Suppose -3*c - v = -934. What is the remainder when c is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(-1)\/(-2)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 77 (b) -366 (c) 3\/2 (d) 7 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) - (3*3*sqrt(77) + sqrt(77)) - sqrt(77)))))\/(-3*sqrt(704) - sqrt(704) - sqrt(11)).\nAnswer: 4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2171, -4140, -5827, -7232, -8355, -9196?\n\"Answer: 141*j**2 - 2392*j + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 4*k + 4*k)*(5 - 3 + 2) + 0*k + 4*k - 2*k - 7*k + 4*k + 21 - 23.\nAnswer: -13*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1264 + 4\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n*n)**(6\/13)\/(((n**(-2\/11)\/n)\/n)\/(n*n\/((n\/n**(-3\/5))\/n))) assuming n is positive.\nAnswer: n**(1901\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j - 2. Solve -j*y + y - 26 = 5*n, -12 = 2*y + 2*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-39))\/4)\/((-70)\/(-210)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 192. Let a be t(31). Let p be 11 + 1 - (2 - a). Solve -p*q - 2 = 3*g, q = g - 2*q - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -151*m**5\/5 + m**2 - 1576*m - 1006. Differentiate b(t) wrt t.\nAnswer: -604*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + i**2 + 2*i**2)*(0*i**2 + 2*i**3 + 0*i**2) + 15598 - 108*i**5 - 15598.\nAnswer: -110*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5 - 299*l**4 + 26441*l**3 - 839905*l**2 + 8412066*l + 9278712 = 0?\nAnswer: -1, 27, 74, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.7 - 38.7. What is the third smallest value in b, -0.1, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(171)\/(6*(sqrt(9) + sqrt(36) - sqrt(9))))**2 + (-1*sqrt(133)*1)\/sqrt(7) + -2.\nAnswer: -sqrt(19) - 125\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 0*m**2 - 2*m**3)*(1 - 2*m - 1) - 20*m**4 + 187*m**4 + 445*m**4 as q*m**4 + d*m + k + w*m**2 + r*m**3 and give q.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {n: 2, i: 4, q: 5}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 244*q + 6831. Calculate w(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38637\/(-105) - (-4)\/10. Let d = 367 + p. Let k be 99\/(-81) + 1 + (-38)\/(-9). What is the closest to -2 in -1, d, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + -18. Let f = -34 - g. What is the lowest common multiple of f and 10\/3 - (-1)\/(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 5. Let u = -6 + n. Sort 0, 1, u in increasing order.\nAnswer: 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1557 divided by -519.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1982002891\/2232 + 3551981\/4. Let h = i - 3\/248. What is the common denominator of 23 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:43 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42310 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 11523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -1 - 6\/(30\/25). Let v be (0\/(-4))\/4*-1. Suppose 12 = 3*f - v. Let w(p) = -2*p - 2. Let b(d) = -1. Calculate f*b(g) + n*w(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -4301321?\nAnswer: 4301312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.1 + 10.8. Let p = -19 + a. Let s = 3.3 - -0.7. What is the second biggest value in s, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5362 - 0.2362. What is the third smallest value in 3\/7, 2\/5, w, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 1206*u**2 - 431745*u + 48337148.\nAnswer: -(u - 668)*(u - 269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v*v**1)))**(5\/6) assuming v is positive.\nAnswer: v**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, -4, 0, 5, 2, 185 in descending order.\nAnswer: 185, 5, 2, 0, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - 4*f**3 + 7*f**3 - 3*f + (61*f - 47*f - 38*f)*(0*f - f**2 + 0*f).\nAnswer: 25*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14209143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1680\/11*c - 1682\/11 + 2\/11*c**2 = 0.\nAnswer: -841, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**8\/840 - k**7\/420 + k**6\/90 - 13*k**3\/6 - 6*k. Let t(s) be the second derivative of g(s). Factor t(w).\nAnswer: -2*w**2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 15*u + 12. Let i be g(-14). Suppose -79 - 25 = 4*v. Let j = i + v. Let o(w) = w**3 + w**2 - w + 5. What is o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 + 4 + u**3 + 2*u**4 - 12*u to z + q*u**3 + y*u**4 + l*u + r*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6239 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78891\/19418 + -12\/1387. Calculate the common denominator of 49*(0 - 3)\/(-60) and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n\/n**(4\/27))\/n)\/n*n)\/(n*n**37)*((n\/n**(-2\/3))\/n*n)**(1\/17) assuming n is positive.\nAnswer: n**(-16547\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -213?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -48376 times -0.5?\nAnswer: 24188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h + 1. Let x(k) = -100*k**2 - 120*k - 120. Let f(t) = 120*o(t) + x(t). Let p(r) = -222 + r + 0*r + 222. Calculate p(f(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Suppose 0 = -m*j + r + 311, r = 3 - 4. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 10:12 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19572419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213 and 211453833.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 4*x, 0 = -2*v - 4*x - 13 + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 13*t + 206. Let y = -65 + 119. Calculate the least common multiple of y and f(-7).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + q + 0)*(6*q - q - 3*q + 0 + 0 - q + (-2*q + 0*q + 4*q)*(-1 + 1 + 2) + 4*q - 2*q - q) in the form x*q**2 + y*q + j and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*j = 6, -j + 0*j + 2 = 3*i. Suppose -4*z - 4*t = -140, 3*z + 4 = -i*t + 110. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 1:51 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c = 161*c - 576201. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 12 - 28. Suppose -8 = 2*u + 4*f, -3*u = -f - a - 1. Suppose -4*x = -u*x - 32. Solve -d = 3*d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 29\/3*g**3 + 12*g**2 - 2*g + 0 - 5\/12*g**4. Factor n(x).\nAnswer: -(x - 12)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0813 - -0.4813. Which is the fifth biggest value? (a) -0.3 (b) -4 (c) z (d) -0.2 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029719 to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqcztqtcqq. Give prob of picking 1 z and 1 q.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(220)\/((2*sqrt(20))\/sqrt(4)))\/(((-2*sqrt(72))\/sqrt(6))\/(2*sqrt(192) + sqrt(3))).\nAnswer: 51*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.39, 1.07, -18, 13, 0.5 in ascending order.\nAnswer: -18, 0.39, 0.5, 1.07, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1535+-0.4\nAnswer: -0.5535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*l = 7, -r = -0*r - 5*l - 8. Which is the third biggest value? (a) -0.3 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - ((sqrt(500) - (sqrt(500) + -1)) + 4)**2) + 4.\nAnswer: -21 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207041563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 558512610 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49670 + 71549. Does 117 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 - 3*o - 3. Let x(r) = -2*r - 7. Let y be x(-5). Let q = 2 - 2. Suppose q = 9*i + y - 30. Determine p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 3*y - 2*y**2 - 9 + 2\/3*y**3. What is j(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 3) + 21\/3. Let a(j) = -218*j - 5594. Let l be a(-27). Calculate the greatest common divisor of l and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4538556 is divided by 238.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27112012397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1817, -3630, -5443, -7256?\nAnswer: -9069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005765 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -49*p**2 + 7047*p\/7 - 18054\/7 = 0.\nAnswer: 3, 6018\/343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 57 + 2*h + 57.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 750*b**2 + 53*b + 620. Is a(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/35)\/(1*18\/810*72)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 7. What is the tens digit of (o - -2) + (-140)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 547*b - 14505. Give r(27).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.5869538 + 0.4\nAnswer: 1.9869538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1392\/13? (a) -3 (b) -5 (c) 2\/15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4710 and -145.\nAnswer: 682950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 628292674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 2*w + 6, -132*j - 4*w + 1 = -127*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1119772*x**2*y**2 - 30748*x**2*y + x*y**2 - 4*x*y + 2*y**2 wrt y?\nAnswer: 2239544*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - -3.76. Let v = 1.2 + k. What is the closest to -1 in 0, 0.2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (-5 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i = 38*i - 90. Let v = i - -85. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 237620*n**3 - 7842912*n**2 - 86277356*n - 316360066.\nAnswer: 2*(n - 118843)*(n + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**8\/8064 - r**7\/504 + r**6\/72 - r**5\/12 - 19*r**2. Let k(p) be the third derivative of q(p). Factor k(c).\nAnswer: 5*(c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p = -2*s + 27*p + 24, -2*s - 5*p = -15 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 5921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + 2 + (23 - 4053\/168). What is the nearest to 2\/13 in 4, -2, -2\/39, t?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*c. Let j(l) = -3*l + 3*l - c*l. Let n(h) = h**2 - 6*h. Let s(q) = -5*q. Let u(k) = 5*n(k) - 6*s(k). Calculate j(u(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -15*p. Let x(t) = -t - 24. Let j be x(-24). Let c(b) be the second derivative of 1\/6*b**3 + j - 5*b + 0*b**2. What is o(c(a))?\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 + 2\/(-8). Let r = 2 + -4. Let m be 7\/(-2) - (-2)\/4. Sort r, m, v in increasing order.\nAnswer: m, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/2 + 58*i**4 - 2186*i**3 - 70840*i**2 = 0.\nAnswer: -140, -22, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.5, -0.01, 17926, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464993 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, l: 2}. What is prob of sequence xll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-420)\/(-286)) + (-1506)\/15813 + -21.\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.51407 + -1.513. Round g to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -47c9?\nAnswer: -47bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - -0.01. Let s = 0.5 - g. Which is the third smallest value? (a) 4 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 5:51 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbdaibbidaqbdaqq. Give prob of picking 2 d and 1 a.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -16\/5, 0.034, 0.19, 0.14?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2202138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(99) + sqrt(99) + -1*(sqrt(99) + 1*sqrt(99) - sqrt(99)))\/(sqrt(18)\/(sqrt(72)*-1)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*3\/(-18)*46. Let f = 34 - o. Suppose f - 5 = 3*d + 3*a, -2*a + 7 = -d. Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 633602.\nAnswer: 7\/633602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*i - 855 = -3275 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x + 149637*x**3 - 5*x**2 + 25*x + 4*x**2.\nAnswer: 149637*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/576*40\/2150*1*4?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/7 + 234531*y**2\/7 + 469053*y\/7 + 234525\/7.\nAnswer: 3*(y + 1)**2*(y + 78175)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234922 is divided by 496.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + -3 + (sqrt(19) + 2 + sqrt(19))**2) - (-1 + -1 + sqrt(475) + 4)**2.\nAnswer: -807 - 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2568922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = -12. Let n = 27 - h. What is the greatest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 1292*o + 2797*o - 1373*o to x*o + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -117. Suppose 0*d = -r*d + 2431. List the prime factors of d.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800 = 277511*k - 277591*k + 8120 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -z + 19. Suppose m - z = -2*m. Suppose -9*j + m*j + 2120000 = 0. Round j to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-4))\/(1320\/(-2145)))\/(-1*1\/(-6))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -3875 + 30774. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*n = 8, -2*y + 136*n - 135*n - 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/45)\/(3\/9)*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/60 - y**4\/12 - 2*y**3\/3 - 2*y**2 - 4*y. Suppose 0 = 6*j - 3*j - 24. Suppose -q - q = -j. Give n(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311075, -311069, -311063, -311057, -311051?\nAnswer: -311045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 42*h + 344 = 2*h. Let n(l) = 2*l + 10. Determine n(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 0*v + v)*(-10 + 0 - 10) - 3*v - 3*v + 4*v to the form n*v + t and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 2, r: 7, s: 1}. Give prob of picking 1 s, 1 y, and 1 r.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 70\/21*-134*(-21)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125 and 0.775.\nAnswer: -96.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55736, 111433, 167130, 222827?\nAnswer: 278524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 35 + 5408797802*j - 5408797802*j.\nAnswer: 3*j**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 37801529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/104*5\/(-3). Let o = -23 - -21. What is the closest to o in 0.3, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7476018 by -6.\nAnswer: 1246003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, j: 2, a: 9, o: 2}. Give prob of sequence oao.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*28.8\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9478181 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 72 = 6*y, -15691*f = -15693*f + y - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50176552.\nAnswer: 2, 71, 88339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 8*y + y. Suppose -y = i + i. Let b(h) = -h**3 - 4*h**2 + 2*h + 4. What is b(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/(1\/14). Suppose b*x - 2 = 2*s + 3*x, -s + 11 = 2*x. Suppose s*g - 12 = -42. Do -6 and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 19*k - 67. Calculate f(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 23*b**2 - 83*b + 38. List the prime factors of m(18).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2263*l**5 - 2*l**4 + l**3 + 4*l**2 + 8*l - 72. Let a(u) = u**5 + u**3 + 3*u - 1. Let t(b) = a(b) - n(b). Find the third derivative of t(d) wrt d.\nAnswer: 135840*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*q = -15, -4*q + 59 = 5*y - 11. Suppose 5*t - y = 10. Calculate the remainder when 11 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -83*w - 700. Give n(-15).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12692?\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1724 + 250 = m, 3 = 3*m. Let u = h - -88. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586915.\nAnswer: 5, 7, 41, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2221123231 (base 4) to base 8\nAnswer: -2513355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 1, w: 2, m: 1}. Give prob of picking 1 f, 1 w, and 1 a.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0480761374 rounded to three decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.886006183 - 38.886. Round k to seven dps.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -2. Let t = -15 + 22. Let y = t - 6.5. What is the closest to 1 in h, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60766606154 + -0.5.\nAnswer: -60766606154.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25717 = 7866*u + 5747 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 8\/3) + 2. Let l be 112\/36*62\/(-217). What is the third biggest value in s, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -28*d**2. Let y(a) be the third derivative of -a**4\/24 - 7*a**2. Calculate y(g(b)).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-0.3.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1565 and 10595\/(-1300) + (0 - -1)*3.\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*o + 3 + 60, 5*y = -o - 3. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2114*0.14.\nAnswer: -295.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.77?\nAnswer: 8.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-2 - -3) - 0. Let f = -69376 - -123768. Suppose c = -v - f - 59608. What is v rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 22773*a**3 + 80*a**2 + 22773*a**3 - 4 + 3 + 23*a**4 in the form l*a**4 + i*a + z + h*a**2 + u*a**3 and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11271)\/(-204) + -55)\/((-9)\/120) + 123\/(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44313 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 i when three letters picked without replacement from iivwpup?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 43*b + 147. Give c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/a**(-15\/8))*a)\/a)\/a)**(-15)\/(a**3\/(a\/a**(-11\/4))) assuming a is positive.\nAnswer: a**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 + 10*q**2 - 5*q + 1. Let i = 125 - 75. What is the remainder when i is divided by s(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1 - 18\/(-21)). Suppose -5*u = 2*w - 4, -3*w + 6 = -0*w + 5*u. Suppose 3 + w = -o. Which is the second biggest value? (a) r (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-4)\/(-9 + 1)). Suppose 0 = -5*r + s + 215, r - 23 = -g*s + 36. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-5)\/(-165))\/(((-20)\/9)\/10)\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209056880*w**3 + 817098*w**2 - 258 wrt w?\nAnswer: -1254341280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -232753*k**2. Let m(c) = -2*c. Determine m(x(j)).\nAnswer: 465506*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l. Suppose -7*n + 64 = n. Let k(i) = 24*i - 10*i - n*i. Give k(c(h)).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 2*a - 65*a**3 + a**2 + 2*a**2 + 65*a**3 + 1 in the form x + z*a**2 + i*a**4 + y*a + s*a**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 140.6 and 0.5.\nAnswer: 141.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 + 21 = 0. Let t = -472 + 471. Put m, 0, t, -2 in increasing order.\nAnswer: m, -2, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5205 or -5204?\nAnswer: -5204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5814 a factor of 1925079354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + -17 - (-7 + 0 - (102 + -114)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a factor of 524381616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68360986.9999974 + 68360981. Let p = -6 - t. Round p to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 - 14?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25517 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59724, 59662, 59600, 59538?\n\"Answer: -62*q + 59786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 30*n**5 - 29*n**5 + 2*n - n. Let m(f) = -3*f**5 - 13*f. Let h(l) = -m(l) - 2*x(l). What is the second derivative of h(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j*(j*(j*j*j**(29\/5))\/j)\/j*j)\/j)**(-2\/39) assuming j is positive.\nAnswer: j**(-98\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 381.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 6283224.\nAnswer: 43982568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 t when three letters picked without replacement from {r: 1, c: 4, x: 6, s: 1, t: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.013, -0.09035, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 2*q - 2*q + 1093 + 59*q**2 + 0*q - 1096.\nAnswer: 54*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in -253\/5, 8, -0.3, -1\/6, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 + 0 + -1) - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 14*r**2 - 3*r + 133. Calculate s(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 346*l**3 + 11. Let i(d) = -69*d**3 - 2. Determine 11*i(n) + 2*r(n).\nAnswer: -67*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/9 + 14*v**3\/3 + 92*v**2\/3 + 448*v\/9 - 256\/3.\nAnswer: 2*(v - 1)*(v + 6)*(v + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287 - 2303 - (2 + -56)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + -7 + (1 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610518 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/4*1*2*37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131829538 to the nearest integer?\nAnswer: 11482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12378 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cff when three letters picked without replacement from pfffcfpcc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1262 and 80?\nAnswer: 50480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 82311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*u + 1573160 = 1573368, -128 = 2*p - 3*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 9) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - a**2 - 2*a - 4. Let f(h) = h + 7. Let w be f(-4). Let p be l(w). Suppose -i = 5*z - p, 0 = -5*z - 3*i + i + 6. Solve -o + 0 = z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-10)*-10 + -1. Let h be 0*(-3 - 52\/n). Is 3\/34 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*t**2 - 7*t**3 - 55*t**2.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(16\/7))\/(-84*39\/(-26208))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(20)\/sqrt(4) + (-2*sqrt(30))\/sqrt(6).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + l**2 + 121 - 142 - 2*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r - 43*r - 1116 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 504 = 344 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -179\/70 - -20\/7. Let q be (-96)\/112*1\/(-6)*1. Put a, q, -2 in ascending order.\nAnswer: -2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.45180403603+-0.07\nAnswer: -0.52180403603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8877 and -222.\nAnswer: -1970694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 53\/18275?\nAnswer: 53\/18275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -2\/9, -2\/5, 5678?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (6*6 - 2). Let h be (-9 + -2)*6\/(-4 + -2). Calculate the greatest common divisor of c and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 50 = -10. Is -13 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:19 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2215248*m*s**4 - m*s**2 - 3*m + 2003*s**2 - 43 wrt s.\nAnswer: 53165952*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 + 2*g - 2. Let m be ((-6)\/9)\/(1\/(-3)). Suppose -m*w + 5*l = 17, -3*l = w - 6 - 13. Let j be b(w). Solve -4 = p - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185987603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -34, -36, -54, -94, -162, -264?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:57 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 2*n - 2. Let j be a(3). Let f be -5 + 10 + 1*-1. Let c(v) = 2 - f + v - j*v. Calculate c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3423297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**2 - d + 13. Let n(x) = x**2 - 4. Let j(g) = 12*n(g) + 4*y(g). Find z such that j(z) = 0.\nAnswer: -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -862, 1093, 4352, 8915?\n\"Answer: 652*f**2 - f - 1513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, z: 3, d: 2, x: 4}. What is prob of picking 1 d, 2 x, and 1 z?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*h = 19 - 61, -5*h = 2*m - 6*m + 37 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 6*l - 2. Let x be p(-6). Let d = -83 + 83. What is the remainder when (-2 - d)\/(x - -1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 22*p**2 + p + 3. Let v(k) = -21*k**2 - 2. Let l(i) = -10*i**3 + 39*i**2 + 6*i - 10. Let c be l(4). Give c*o(u) - 3*v(u).\nAnswer: 19*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 2*j - 130268*j**2 + 15267*j**2 + 0*j + 2. Let n be g(2). Round n to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1275 divide 52414514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - v + 202762, 15 = -4*v + v. Let l = 42589 - y. Round l to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.14 plus -1.5?\nAnswer: 25.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 352 or -9?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -1.1.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28860 and 28416.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/177 and 24\/32509.\nAnswer: 97527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*z = 63669, 98*q - 5*z = 95*q + 191018. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*u - 3360 + 1200 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*b + 12, 3*b - 12 = -0*b - 2*k. Suppose -4*r + 2*z = b*z - 88, -2*r - 3*z + 36 = 0. Let c = -12 + r. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.8 + 14. Let b = 29 + -21. Sort b, -1\/4, y in descending order.\nAnswer: b, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 6*p**2 - 8*p - 4. Let m be i(-7). What are the prime factors of (15 + -6)*(m - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461665 is divided by 1258?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5068, 20322, 45746, 81340?\n\"Answer: 5085*d**2 - d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 425548741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i + 2*i**5 - 4 - 2725*i**3 + 2725*i**3 + (-11*i + 7*i - 2*i)*(-4*i**3 + 4*i**3 - 3*i**4).\nAnswer: 20*i**5 - 7*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*g**3 + 105*g**3 - 220*g**3.\nAnswer: -199*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(108).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine quarters of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/129)\/(70\/(-1113)). Let n = m - -4\/43. What is the nearest to -0.2 in 2\/9, -1, n, -19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18630 is divided by 149.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264563.\nAnswer: 13, 47, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 greater than or equal to 336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5162, 5158, 5144, 5114, 5062, 4982?\n\"Answer: -l**3 + l**2 + 5162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 399282 + -189259597\/474. Find the common denominator of -59\/316 and h.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2712 and 43097296?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2882755, 11531020, 25944795, 46124080, 72068875, 103779180?\nAnswer: 141254995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1023 - 991. What is the greatest common factor of j and 1696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 28376 = -2*p, 5*p - p - 56832 = -4*m. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -9. Put 5, a, 2 in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.01 + 24.98. Let l = -13\/66 + 1\/33. Let f = -0.02 + -3.98. Which is the third biggest value? (a) f (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, 4, 1 in ascending order.\nAnswer: -5, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = 3*u. Let y be (-1 + u\/(-3))*-1. Suppose y*l - l + 15 = 0. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*q + 67 = -8*d, 3*q - 9 = 0. Let r be -2 + 4\/3 - (-44)\/(-6). Let t = r - d. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = -5*y - s + 1515, 0 = -3*s + 9. Suppose -t + 23 = -2. What is the highest common divisor of y and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -194 (b) -4 (c) -4\/171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103741248?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495575 is divided by 798.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - -132. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d21 + -5?\nAnswer: -d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1701 (base 10) to base 5.\nAnswer: 23301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2870489*a**5 + 4733742*a wrt a.\nAnswer: 57409780*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 27. Let g(o) = -28 + 15*o + 25*o - 38*o. Let p(c) = 4*d(c) - 3*g(c). List the prime factors of p(22).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.45 - 0.66. What is x rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k. Let o(m) be the third derivative of -11*m**7\/2520 - m**4\/2 - m**2. Let d(v) be the second derivative of o(v). Give d(z(c)).\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 76, -3 in descending order.\nAnswer: 76, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from tddtdddt.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4190962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + sqrt(539) - (sqrt(539) + -1 + sqrt(539))*1.\nAnswer: -7*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 0*l**2 - 1206 + 1194 in the form d*l + y*l**2 + s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176137 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 2. Let w be k(13). Suppose -3*p + 2*f + w = -f, 0 = f - 4. Suppose p*n = 10*n - 4. Which is the nearest to 1\/3? (a) 1 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4320, 4307, 4294, 4281, 4268, 4255?\n\"Answer: -13*d + 4333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291*j = 1844*j - 9954 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/10 - 9*o**4 - 55*o**3\/3 - 3773*o. Find n, given that f(n) = 0.\nAnswer: -1, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -679 less than or equal to -2033\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01622745329 and 0.1185.\nAnswer: 0.13472745329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 22*k**2 + 21*k + 43. Give h(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnrzrrnn. What is prob of sequence rnzr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5070*v - 147249. Determine y(-29).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 63150 (base 9) to base 6\nAnswer: 520543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(2*sqrt(448) + sqrt(448)) + sqrt(448) + 3 + ((3*2*sqrt(70))\/(sqrt(30)\/(-2*sqrt(3)) + sqrt(10)))**2.\nAnswer: -64*sqrt(7) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206092, 2412003, 3617734, 4823285?\nAnswer: 6028656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450399.\nAnswer: 3, 29, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(2790\/(-696) + 4). Let m be (-2)\/((-4)\/6) - (-340 - o). Which is the third smallest value? (a) 3 (b) m (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1006452013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 505 + -479. Is p < 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 61\/(-3) - (-14)\/189*-9. Let k = 44 - n. What are the prime factors of k?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -13348658.\nAnswer: -35\/6674329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001274456776 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 1592216*b - 1592220.\nAnswer: 4*(b - 398055)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 2\/7, -26, 0.4 in increasing order.\nAnswer: -26, -1\/8, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/36 and 11\/105?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c6 (base 14) to base 12.\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10296, 20594, 30892, 41190, 51488, 61786?\n\"Answer: 10298*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.926864 years to millennia.\nAnswer: 0.000926864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-42) + 15\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -190 - -8957a?\nAnswer: 893ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 0)*(-10)\/(-90) and -31\/89.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 3, 4*w = 5*b - 32. Let x be (b - 157\/4) + 4\/16. Does -34 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5121023 weeks?\nAnswer: 309719471.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5) + 26\/10. Suppose -3*v + s*u = 721, -v + u = -0*v + 242. Is (-8)\/20 - v\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -4, 5, 77, 3 in decreasing order.\nAnswer: 77, 5, 3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167.96 - 168. What is the closest to s in 3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c**2 + 3*c. Let y(f) = f**3 - 3*f**2 + 4*f. Suppose 0 = p - 6 - 4. Suppose p = 4*g - 4*u - 2, -5*g - u = -15. Calculate g*k(j) - 2*y(j).\nAnswer: j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 60. Let c(d) = 3*d + 2725. Give -c(i) - 4*g(i).\nAnswer: i - 2485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 h when three letters picked without replacement from {h: 5, w: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264*t**4 - 33*t**3 - 68069*t?\nAnswer: 3168*t**2 - 198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 123, 301, 719, 1497, 2755, 4613, 7191, 10609?\n\"Answer: 20*a**3 + 38*a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 1 - (-6)\/3. Let f be (-14)\/77 + (-105)\/(-33). Solve 3*b + h*v - 22 = 2*v, 3*b + f*v - 27 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, and 1 x when three letters picked without replacement from uubueuewxu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**28)\/k**(-3))\/(k*(k**(-2\/25)*k*k)\/k*k)**21 assuming k is positive.\nAnswer: k**(-2133\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 297\/300 - (2 + -1). Let p = -3485\/98 + 172801\/4900. Let w = p - t. Which is the second smallest value? (a) -3 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b - 54 = -24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3719.99 litres?\nAnswer: 3719990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -21132021041?\nAnswer: -21132021114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1440)\/880*33\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from bycbkwy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1696320 to the nearest 10000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4156.2545 times -0.4\nAnswer: -1662.5018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + (11 - (-918)\/(-36)). Which is the nearest to s? (a) 1 (b) -0.4 (c) 0.2 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiiidxaxeudiax. Give prob of sequence ui.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and 244510851402.\nAnswer: 244510851401.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 3*v, -4*h - 192 = -4*v. Let d = h - -63. Suppose 5*x = 52 + 58. What is the least common multiple of d and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + p = -260, -p - 66 = -j + 2*p. Suppose 4*v + 57 = i + 4*i, 3*i - 4*v - 39 = 0. Calculate the remainder when j is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) -23\/12 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q - 12 = 0. Let t = q + 6. Factor 0*i**2 + 1\/4*i**3 - 1\/4*i**4 + t + 0*i.\nAnswer: -i**3*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 26. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iciimmim. What is prob of picking 1 c and 1 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 1568307?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 15 + 16 + 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 90, 133, 184, 237, 286, 325?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9084 + -8916. What is the greatest common divisor of x and 2982?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*m**3*o**2 + 7789*m**3*o + m**3 + 3*m**2*o - 185*m**2 - 969*o**2 wrt m.\nAnswer: -150*o**2 + 46734*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -60*h + 37\/12*h**4 + 7\/3*h**3 + 0*h**2 + 0. Find the second derivative of r(a) wrt a.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1.136.\nAnswer: -0.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.887368 micrograms in grams?\nAnswer: 0.000000887368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1 + sqrt(475)) - sqrt(475))*-2)**2*-2 + (sqrt(95) + 3*sqrt(95)*3 - sqrt(95))\/sqrt(405).\nAnswer: -186488 + 3361*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -149*v**2. Let m(o) = 9*o + 14553952 - 14553952. Determine n(m(i)).\nAnswer: -12069*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285971274?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((8\/20)\/(3\/75)) + (-15067)\/(-27755)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 3:05 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 298, -3, -22 in descending order.\nAnswer: 298, 11, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13997 - -27666. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 0.83, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-177 - -207) + (-639)\/18?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33017 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002650654374 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 2*t**2 - t - 6. Suppose 0 = 3*r - 2*o + 5*o - 75, -r + 3*o + 5 = 0. Calculate the lowest common multiple of r and a(4).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36\/50783 and 3\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2740.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -92*g + 4*g - 823 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2 - 9*y + 1\/3*y**3 - 3*y**2. What is the units digit of t(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-3)\/1) + 1. Suppose -3*w + 4*w + 3*z + 67 = 0, -3*w - n*z - 166 = 0. Let p = w + 989\/19. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2485 + -0.1985. Is p at least as big as -1503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 148 from 4938319.\nAnswer: 4938171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -36 (c) -0.3 (d) -157 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from rriiriwiwwriirii?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 equal to 1200938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-487*w + 9729*w + 3289*w + 7973*w + 866*w - 2219*w)*(-4*w**3 - w**2 + w**2).\nAnswer: -76604*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1062 (base 10) to base 2\nAnswer: 10000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2059 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000100101 + -1111011101010101?\nAnswer: -1110111100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:42 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -629. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15369 greater than 15370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 68644866.\nAnswer: 343224330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 8 = -6. Solve i*y - x = -12, -y - 3*x - 4 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)*i)\/(i**0\/i))\/(i*i**2*i**4) assuming i is positive.\nAnswer: i**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5031936*l**4 - 1241428*l wrt l.\nAnswer: -60383232*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 - 24138*j = 0.\nAnswer: 0, 8046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 2, o: 1, g: 5, v: 2, x: 2}. Give prob of sequence yov.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let f(l) be the third derivative of 0 + 1\/8*l**4 + 15*l**2 + 0*l**3 + 0*l. Calculate w(f(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (28\/4 - -3) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 5 + -49 + 59 - -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -5444?\nAnswer: -5445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 6*r + 6. Let v be x(-6). Let l be (22\/v)\/(6\/36). Let w = l - 5. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f**2 + 24*f + 23. Let z(p) = -4*p**2 - 8*p - 8. Let l(o) = -3*g(o) - 8*z(o). Let b be l(-5). Let y = -7 + b. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -1 + 1. Suppose v*c - 53 = -3*p + c, 5*p - 95 = 3*c. Suppose -252 = 13*a - p*a. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123453079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 644049 and 66?\nAnswer: 14169078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 281664 and 94866?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421417025 and 2671?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5345 - 0.537. Let f = w + -1. Round f to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -3 in decreasing order.\nAnswer: 5, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(637) - (-3 + sqrt(637)))**2 + 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*c - 45 = 89*c. Let t(d) = d**3 + d**2 + d + 3. Let i be t(0). Let k be i\/((-30)\/(-4))*15. Solve c + k = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = h. Let p be (51\/136)\/((-3)\/(-32)). Sort p, h, 2, -5 in increasing order.\nAnswer: -5, h, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497839.2 rounded to the nearest ten thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Let m(i) = -i**2 + 15*i - 14. Let s be m(13). Suppose -d = 3*r + 13, -4*r + d = -3*d + s. Sort r, t, 17 in ascending order.\nAnswer: r, t, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 - -0.0542.\nAnswer: -21.9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/4 - x. Let g(y) = 2*y. Let o = 6 + -4. Let h(k) = -2*k. Let z(f) = o*h(f) + 3*g(f). What is v(z(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 897.6 - 897.54. What is the nearest to -0.35 in 0.2, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 63 = -5*f - c, -2*f - 36 = -c. Which is smaller: f or -19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161493 and 24?\nAnswer: 1291944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21 or -32418\/11?\nAnswer: -32418\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1060810*s**4 + 2*s**2 + 20155422?\nAnswer: 4243240*s**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.67 - 309.67. Let u = 302 + n. Which is the biggest value? (a) 4\/5 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2646*m = 107479 - 282115 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let r = v - 2. What are the prime factors of 5*6\/((-9)\/r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.86 - 16.44. Let m = i + 18.39. Let g = m + -0.09. Which is the closest to g? (a) 0.1 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -462 and 78.\nAnswer: -36036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**2 - 3*o + 68. Calculate a(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(832) + -4 + 2)*6 + -1 + (sqrt(117) - ((-2*sqrt(117) + sqrt(117))*-3 + sqrt(117)))\/sqrt(576))**2.\nAnswer: -4953*sqrt(13)\/4 + 1897909\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33504*c**3*j**3 + c**3*j**2 - 145*c**2*j**6 + 2*c**2*j - 88*c*j + j**2 - 23*j wrt j?\nAnswer: 201024*c**3 - 17400*c**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16\/67 - 3104\/469. Calculate the common denominator of f and -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177432*n**2 - 4*n - n + 5*n + 29216*n**2.\nAnswer: -148216*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 + 8 - 5*c**2 - 310*c - 42 - 20*c = 0. Calculate c.\nAnswer: -65, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 11. Suppose 5*m + 2*a = 2*m - 9, d*a + 8 = -2*m. Calculate the common denominator of (-170)\/4 - (m - -4) and 19\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {r: 2, g: 17}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 65*t**3\/2 - t. Let z(r) be the first derivative of r**2 - 69595. Calculate z(v(y)).\nAnswer: 390*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168179 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2827, 5662, 8499, 11338?\nAnswer: 14179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 330951 != -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8935 + 51237 = 16*b - 5268. What is the remainder when b is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 - 78. Suppose 10*h - a = 3*h. Suppose 12 = h*j - 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by (-1 - -2)\/((-9)\/(-495)).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*h = 81, 8*h = f + 5*h - 21. What is the remainder when 327 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 2*k**2 - k. Calculate x(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (sqrt(7)*2*3)**2 + (-5*sqrt(189))\/(sqrt(48)*6).\nAnswer: -5*sqrt(7)\/8 + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 23*w + 51. Let x be l(25). Let o = x - -8. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-18)\/(-324)). Let p(x) = -6*x - 59. Let w be p(-10). Let h = w - -1. Solve 6 = g*c - 3*c + d, -3*d + 4 = h*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/20 and -67\/540048?\nAnswer: 2700240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 89*t**2 + 8204*t - 730010. Determine q(91).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q + 39*q + 155*q - 9659 - 1653 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2920.9 + -2919.9. Put v, 81.1, 2\/43 in increasing order.\nAnswer: 2\/43, v, 81.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 13790.08.\nAnswer: 248221.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393 + 3 + ((-24)\/(-6) - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*j**3 + 10*j - 128?\nAnswer: 48*j**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2900767, -5801518, -8702269, -11603020, -14503771?\nAnswer: -17404522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 15 - 11*d**3 - 16.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {s: 2, w: 16}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r + 8. Let s be q(2). Let v be (-1 + (-1)\/(-3))*s\/(-60). Let o = 4\/9 + -17\/18. What is the nearest to -2\/5 in v, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l**3 - 2*l**2 - 5. Let j(r) = -r**3 + r**2 + 1. Let h(y) = -g(y) - 2*j(y). Differentiate h(m) with respect to m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 68 - 1 = 13*x, -4*x + 25 = -3*c. Put 58, c, 2, 0 in decreasing order.\nAnswer: 58, 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 7. What is the nearest to 0 in c, 14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/18 + -5\/18. What is the third biggest value in 4, -0.03, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/3)\/(4\/42). Suppose 3*b - 149 = 3*o - j, 0 = 2*b + o - 50. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*f + 1 + 4 = 0, 0 = 5*l + 4*f - 1. Let k = l - -1. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 + 2400*s**2 + 384000*s + 20480000 = 0. What is s?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-225)\/(-30))\/(1\/(-12)). Let d = r + 97. What is the remainder when 21 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/66 and -163\/210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 - 250\nAnswer: -248.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 8319?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-15 - (-11 + -10)) + -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -21*r + 1056. Put 2, -1, r, -2 in descending order.\nAnswer: r, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17633 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2115 - -2046) + 2 + (19 - -5)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3375 in 1\/5, 0.4, -2\/25, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 68*f**4 - 646*f**3 + 1092*f**2 - 513*f.\nAnswer: -f*(f - 57)*(f - 9)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009037503 to 7 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 201.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 714 or 713?\nAnswer: 714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(0 + 2*a**3 + 0) - 2 + a**3 + 2 + (5*a**3 - 2*a**3 + a**3)*(-5 + 0 + 3).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72298661\/1296 + -55786. Calculate the common denominator of k and 11\/27.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8838 + 13188. Let v = 2287 + y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163053 is divided by 27175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 360252 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-5))\/(((-450)\/200)\/((-72)\/64))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:17 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -881870 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 21. Let j(b) = -b + 10. Let x(s) = -5*j(s) - 2*o(s). Let h be x(-8). Suppose 4 + h = 2*k. Calculate the highest common divisor of 18 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261154, 2, 1 in ascending order.\nAnswer: 1, 2, 261154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 8*p + 8*p - 35*p + 3 + 4*p.\nAnswer: -23*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 1580, 3547, 6280, 9767?\nAnswer: 13996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 732 divided by -122.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507867889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -201\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -398592 divided by 576\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -5. Let r(w) = w**3 - 8*w**2 - 8*w - 4. Let k be r(9). Let h(c) = 3*c - 3. Let p(o) = 4*o - 4. Let q(i) = k*h(i) + s*p(i). Give q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*c**2 - 21*c**2 - 28*c**2 + (-2 + 2 + c**2)*(-2 - 2 + 3) - 2*c**2 - 3*c + 3*c + (4 - c - 4)*(c + 4*c - 4*c).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134486*c**2 + 4*c**3 - 134486*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31095 is divided by 2912.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*b*k**5 + 2877*b*k**3 - 13*b*k - 3*b + 14*k - 1899 wrt k.\nAnswer: 460*b*k**3 + 17262*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/21 - 3392\/4452?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4 + 5277*a**3 + 2323197*a**2 + 2317923*a = 0.\nAnswer: -879, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x - 9*x**2 - 6*x**3 + 3*x**2 - 1 + x**3. Let y(b) = -103*b - 17*b**2 + 3 - 6 + 50*b - 14*b**3 + 30*b. Give 17*j(h) - 6*y(h).\nAnswer: -h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67670 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-322)\/14 + 8)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10443400 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 541 + -529. Calculate the greatest common factor of 204 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2705 divide 620976030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171945562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:30 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4874 - 4903.79. Let z = 30.1531 + r. Let l = -0.37 + z. Round l to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(288) + -2*sqrt(2)*4*-3.\nAnswer: 5 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/27 - 6\/27. Suppose 4*x - 68 = -5*o, n*x - 2*o - 11 = 5. Let f be 2 - (-2)\/3*3. Solve y = -4*j + 16, -j + f*j = -4*y + x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465033253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 104 + 17*y)*(-7 + 7 - 12*y**2 + 85*y**2 + 0).\nAnswer: 1241*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5078306 to the nearest integer?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + z + 13, w + 2*z - 7 = -2*w. Suppose 2*f + w = f. Is f*1 - 124\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2420547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-31)\/3)\/(5\/(-105)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 - 1653*q + 17820 = 0.\nAnswer: 11, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than 4\/7277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:18 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*t + t. Suppose 3 = -z + t. Suppose -3*q = -2*u - q - 32206, -2*u + z*q - 32209 = 0. What is u rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8 = o, -120 = 4*y + 2*o - 114 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4*-2*sqrt(1872) + 2 + (sqrt(1872) - sqrt(1872)*-1)*4)*-6)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.97 - -0.03. Let x = 0.595 - 0.295. What is the nearest to n in x, -0.1, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55528.\nAnswer: 2, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from bbmmbbbmbmmdbbmbbb?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 184\/(-18) - 8\/(-36). Let u = -54 - n. Let j = u - -47. Solve -2*k - j*g + 1 = -0*g, -k = 2*g + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 231 = 5*p - 2*p, -4*p + 313 = -5*h. Suppose 0*z + 4*z = p. Let r(k) = -k**3 + k**2 - 2. What is the least common multiple of r(-2) and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1160 or 102302?\nAnswer: 102302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7767 = 2*r + 13263. Let p be (10\/(-25))\/(1\/r). Is 1 + (p - 2) - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40724 is divided by 1938?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 47, -2, 34, 0.1 in increasing order.\nAnswer: -2, -1, 0.1, 7, 34, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 372791 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(425) + -4 - sqrt(425))*-4*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + 188. Which is the second biggest value? (a) -5 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 2*y**7\/105 - 7*y**3\/6 + 5*y**2. Differentiate s(f) wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12204045 and 2415.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -463030 by -95.\nAnswer: 4874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-380)*-39*128\/(-3120).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108247 or -108251?\nAnswer: -108251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(3) + -2)**2 - (-3 + sqrt(75)*-3).\nAnswer: -15*sqrt(3) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0 (c) 0.2 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 10. Let r(y) = 2*y**3 - 2*y**2 - 3. Let f be r(k). Suppose 2*d = -0*d - 3*l - 15, 0 = -2*d + l + f. Is d < -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-6)*(-8)\/(-12) + -3. Let l(s) = 406*s + 12. Let i be l(v). Round i to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21259119?\nAnswer: 3, 7, 19, 53281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shko when four letters picked without replacement from {z: 2, o: 3, s: 1, w: 1, k: 3, h: 1}.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14630, 14657, 14694, 14747, 14822?\nAnswer: 14925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:11 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 24306 = 1458. Suppose -4488 = -4*d - u. What are the prime factors of d?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 63. Suppose 3*v + 5*f = -11, -f = 4*v - 3*f - 20. Let t be (0 - 1)\/(1\/(-4)). Put v, p, t in decreasing order.\nAnswer: t, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2296 divided by 11312.\nAnswer: 41\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1342 and 406626.\nAnswer: 406626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10600 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/(-12) + (-2)\/12. Suppose d*j = 32 + 83. What is the second derivative of 26*o + 3*o**5 + o**3 - o**3 - j*o wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -34, -50, -66, -82, -98?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11000000000101010010011011?\nAnswer: 11000000000101010010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-10 - (-13 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 311\/6 + -52. Let p = 86 - 428\/5. Which is the nearest to p? (a) 4 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 974*z**2 - 45335*z + 9271. Give c(925).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219402 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -267.6?\nAnswer: -264.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 544574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128252 is divided by 192?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + -174 + 132 + 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**4 - 2415*d**3 - 14355*d**2 - 21485*d - 9540 = 0.\nAnswer: -477, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u + 1. Let f be r(4). Let l(y) = -y**2 - 4*y + 3021. Let t be l(-57). Solve t = -5*z + 10*z + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/22 and 92\/15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 214.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 839081167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2641.75 - 16940?\nAnswer: -19581.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfvfrxffxfffffvhq. What is prob of picking 2 f?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(18\/105) + -3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 3753?\nAnswer: 18765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 54*n + 20. Let d be r(5). Suppose -12*z = -d + 2. Find the second derivative of -z*i**4 + 20*i + 3*i + i wrt i.\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 117*o - 29 = -156*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 69) + (633 - 569)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 70914*z - 419066283.\nAnswer: -3*(z + 11819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2341*p**3 + 2944 wrt p.\nAnswer: 7023*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfjjfxfffffffff. What is prob of picking 1 x and 2 j?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tccjjjtqjtttctcccq. What is prob of sequence qccj?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.95 times 0.01?\nAnswer: -2.6995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*c + 7*c**4 + 35*c)*(3 + 2 - 4) + c + 2*c**2 - c - 2*c**4 + (-3*c**3 + 4*c**3 - 2*c**3)*(4*c + 3*c - 6*c).\nAnswer: 4*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6243*z = 6240*z + 24 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5296589 + -26610063223\/5024. What is the common denominator of -11\/96 and a?\nAnswer: 15072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/36)\/((7\/252*-2)\/(12\/18)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*k + 204*k - 448*k + 6732 = 0. What is the smallest common multiple of k and 4?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**1)\/y)\/((y\/y**6)\/y*y))**22 assuming y is positive.\nAnswer: y**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 57772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82383.62l?\nAnswer: 82383620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -25, -17, -15, -25, -53, -105, -187?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.960057 millilitres in litres?\nAnswer: 0.007960057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.5 (b) 0.1 (c) -0.797 (d) 2 (e) -5 (f) -389\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.84*29.297\nAnswer: -24.60948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -433ab1 (base 14) in base 9?\nAnswer: -4250268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1. Let d(i) = 3*i - 4. Suppose 4*f - 5*f + 3 = -2*n, -f + 4*n = -7. Let m(z) = f*d(z) + 4*s(z). Let q(t) = -15*t. Determine q(m(r)).\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 y when four letters picked without replacement from zzzyzyryzrzuyuyrzyy.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-11 + 13 - (5 + 1)) - 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*k + 1183 - 453, 0 = -d + 4*k - 249. Round d to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(275) - (sqrt(11) + -3*(-2 + sqrt(11)) + sqrt(11)).\nAnswer: -4*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - (15 - 10)) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - -67?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12867588 by 137.\nAnswer: 93924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19431382*v**5 - 930842*v wrt v?\nAnswer: -388627640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6289\/1815 + -218\/121. Calculate the common denominator of -89\/12 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88\/3 of a decade?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l. Let p(n) be the first derivative of 7*n**2 + 279. What is p(v(s))?\nAnswer: 322*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6157*m**2 - 2*m + 3*m + 6158*m**2 + 0*m. Let z(y) = -3*y**3 + 6*y**2 + 5*y. Calculate -6*u(r) + z(r).\nAnswer: -3*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1241\/4*n + 11\/2 - 113\/4*n**2.\nAnswer: -(n - 11)*(113*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*i + 27*i + 94. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -74, -2, 4?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/7)*(y\/(((((y\/(y\/(y\/y**(-8\/7))*y))\/y)\/y*y)\/y)\/y))\/y*y**(-5\/7)*y**(2\/37)*y assuming y is positive.\nAnswer: y**(643\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from momoommmomm. What is prob of picking 3 o?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 26 = -6*c. What is the third derivative of -223*o**3 + 6*o**6 + c*o**2 + 223*o**3 wrt o?\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.10179 - 0.19821. Let l = -0.3 + 4.5. Let k = 4 - l. What is the closest to 4 in -2\/7, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - x - 2)*(11*x**3 - 12*x**3 - 2*x - 5*x**3) to k*x + m + l*x**4 + a*x**2 + r*x**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*a - 95 = 0, -5*a + 0*a - 136 = -5*f - 77 - 174 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19\/4 (b) 2 (c) -72\/5 (d) -1 (e) -4 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(2*l - 3*l**2 - 2*l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = -5*m - 767, m + 589 = 3*f. Which is greater: f or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-55))\/(((-16)\/(-11))\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = 29*n - 31*n, 6 = -n - 4*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - -4*sqrt(363) - sqrt(363))**2 + sqrt(3) - sqrt(108)*4.\nAnswer: -23*sqrt(3) + 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12)*-7*2. Suppose 0*f + f + 4*a = n, 3 = 3*a. Solve -2*i - 2*i = 4*s - 16, f*i + 6 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 0.4 (c) 4\/9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1352904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1819 divide 14266417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*v + 15*v + 9*v**3 + (-v**2 + 0*v**2 + 2*v**2)*(-v + v + 2*v) + (2*v**2 + v**2 - v**2)*(-2*v + 4*v - v) to c*v**3 + i + y*v**2 + n*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 28 + 3*y + y**4 + 30 to the form j*y + z*y**2 + o*y**4 + h + f*y**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 345. Let w(d) = -15*d. Determine h(w(j)).\nAnswer: 30*j - 345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/20*-2*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282 - -280. Sort -1, 5, j in ascending order.\nAnswer: j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/24 and 281\/2925 + (-8)\/52?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*t + 321, 2*l + 3*t - 459 = -l. Let o = l - 77. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:11 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1334 + -1369.54. Round k to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from pykppkwvpppkypkkvksp?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 355523361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17980425 a multiple of 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25039475 is divided by 3223.\nAnswer: 3211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.563 + 0.563. Put -12\/11, -3\/4, t, 4 in decreasing order.\nAnswer: 4, -3\/4, -12\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/783998 and -65\/3?\nAnswer: 2351994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -173*y - 1801. Determine m(-10).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720921757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.4*-1.3.\nAnswer: 25.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11 - 6*v**2 - 2 - 3*v**2 - 12*v**2 + 7*v**2 - 2*v - v**3. Determine j(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:48 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let y = h + 2. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(486) + sqrt(6) - sqrt(6))\/(sqrt(98)*-4 - sqrt(2))*3.\nAnswer: -54*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111131075 a multiple of 1844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13752, 27491, 41230, 54969, 68708?\n\"Answer: 13739*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241.37*249.\nAnswer: 60101.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*v**3 + 194*v**3 + 105*v**3.\nAnswer: 451*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44637427 and 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.7 + 50.3. Let s = -1.932 - 2.6428. Let q = a + s. What is q rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073272240.\nAnswer: 2, 5, 13, 1993531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*b + 35 + 36 + 23 - 14*b + 16*b to the form s*b + y and give y.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167889 and 2014668.\nAnswer: 2014668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18128 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5522140 = -5*m + 162165880, 209610016 = -5*b + 4*m. Round b to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:38 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaaya. What is prob of sequence yya?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69497467*z**2 - 515348687*z?\nAnswer: -138994934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (0 - 3)\/((-6)\/56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55510*j - 96 = -55518*j. Let d(n) = n + 6. Let h be d(-2). Suppose 0*i - 4 = -i. Solve p + i*b - 6 = 0, -h*b + j = 5*p - p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*40\/1056 + (-2)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let o be ((-44)\/(-8) + -4)*2. Let r(d) = 0*d - d - d - o*d. Give r(f(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23 and 23.31846.\nAnswer: 46.31846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -1.081, 2, -1173, -3?\nAnswer: -1.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)*z*z**1)**(-7\/5) assuming z is positive.\nAnswer: z**(-91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 1, 4\/3, 2, -0.07, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.51 - 0.41. Let w = 6 - m. Let a be ((-1)\/6)\/(13\/52). Is w at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-20))\/((-2)\/4). Let n be -3 + 2*(m - 2). What is the second biggest value in -2, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - w + 4*w)*(-w + w + w) + 8*w**2 + 0*w**2 - 5*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1222 - 0.5222. What is the closest to 0.2 in -6, w, -1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 146808576 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 94*g**2 + 186*g**2 - 38 - 91*g**2 - 80*g**4 + 85*g**4 in the form m*g**3 + p*g + d*g**4 + y + c*g**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*y + 2673 = 15*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7915, 7916, 7917, 7918?\nAnswer: 7919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321003231 - 10120?\nAnswer: 320333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 4*g**2 - 8*g**2 + (14*g - 3*g + 17*g)*(2*g + 0*g - g).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 4. Let q be f(-5). Let u = q + -9. Suppose 12 = 2*n + n. Solve -n*r - 4 + u = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407484 divided by 11319.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1950.9113 - 1951. Let p = 0.1406 + i. Round p to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 9. Suppose -25 = -n*a - 10. Let g(d) = 3 + a + 3*d**2 - 8. Let w(y) = 2*y. What is w(g(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52900*x**2 - 19785520*x + 1850032144.\nAnswer: 4*(115*x - 21506)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-c + 5*c + 2*c + (2*c + 3*c - 4*c)*(0 + 1 - 2)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < 1\/1311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 127. Let m(p) = 4*p**2 - p**2 - 3*p**2 - 5*p**2 - 2*p**2. What is m(g(l))?\nAnswer: -112*l**2 - 7112*l - 112903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8577994 rounded to three decimal places?\nAnswer: -2.858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 5c8aa?\nAnswer: -5c8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**3 + s - 1. Suppose 17*i = 18*i - 12. Suppose 0 = 3*v - i, -2*z + 14 = -z + 3*v. Let u be r(z). What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6613195+16.834\nAnswer: 14.1726805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 379.7627l?\nAnswer: 379762.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*b - 174*b = 108 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a kilogram in grams?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**3 + q - 8. Let g(h) = -h**3 - 8*h**2 - 7*h + 2. Let t be g(-7). Does 18 divide s(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*f - 5*d, 34 = 4*f + 2*d + 10. Let y be (f + 4)\/((-8)\/12). Is 1 + -196*y\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - -1) + (4 - 5). Suppose m + 11 = 4*v, d*v - 5*m - 25 = 4*v. Is -1*-34*5\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {t: 2, i: 2, p: 1, b: 6, m: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -337\/3 - -110. Let u(z) = 3*z - 12. Let n be u(5). Suppose 0 = n*b - 4*b - 3. Find the common denominator of m and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-10)\/((-25)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(2057) + 1) + (sqrt(68) + -2*sqrt(68)*-5)\/((sqrt(16) - sqrt(144))\/sqrt(4)).\nAnswer: -231*sqrt(17)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b0b (base 12) to base 9.\nAnswer: -10262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -9 - (20 + -11)) + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*m - 2. Let r = 6.417 + -0.417. Which is the nearest to 0.1? (a) m (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 15*o**2 + 19*o + 45. Determine r(15).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:11 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/70 - 2\/4. What is the nearest to -1 in m, 0.4, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 388855.73151 - 388854. Let q = 1.801 - a. Let j = -0.069 + q. What is j rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2071, -4003, -5777, -7321, -8563, -9431?\n\"Answer: 12*o**3 + 7*o**2 - 2037*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1646 - 411 - 414 - 413 - 2428*b**2 - 408.\nAnswer: -2428*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.3 or -74778\/5?\nAnswer: -74778\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (-106)\/(-12) - (2 + (-13)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1337 + 199 = 93*q + 48 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 1820?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33227.1 rounded to the nearest one hundred?\nAnswer: 33200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.5, -19\/2, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 157*x - 2*x**3 + 12 + 11*x**2 + 152*x + 3*x**3. Let n be g(-7). What is the greatest common factor of n and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) + (-5886)\/(-135). Suppose -7*k + 19 + x = 0. Solve -k = -25*b + 22*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -21, -0.1, -7, -2\/9, 1, 26?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from hoohouuoquoomq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 143623 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31241 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - ((-22 - -31) + (6 - 11)) - (9 - 0)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -147332*v + 589309. Give c(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t. Let o(m) = 43*m**2. Determine o(s(u)).\nAnswer: 1075*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - 4) + -3 - 2) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 272, 573, 874, 1175, 1476, 1777?\n\"Answer: 301*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*(sqrt(931) + 1) - sqrt(931)) + (sqrt(931)*-3)**2*4)*-4.\nAnswer: -134041 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 429*y - 1000 wrt y.\nAnswer: 429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 239016 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 13*h = 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3544704 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8.13. Let b = 0.1426 - f. Round b to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/25)\/7)\/((-5344)\/(-760) + -7)?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1870877 - 1?\nAnswer: 1870876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 25 = 4*n, 0*y - y = -3. Let m = 0.11 - -0.19. Sort m, -4, n in increasing order.\nAnswer: -4, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14338 and 1072?\nAnswer: 114704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((10 + -9)\/(-102)). Let f(m) = 65*m - 2 - 5*m**2 + m**3 + 0*m**3 - o*m. What is f(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*k**3*m**3 - d*k**3*m - 144*d*k**2*m**3 + 63*d*k**2*m**2 + d*k*m**3 + 3*d*m**3 + 2632*k**3*m**3 wrt k.\nAnswer: 6*d*m**3 - 6*d*m + 15792*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**3 + 5*a**2 - 2*a + 3. Let y(d) = 4*d**3 - 4*d**2 + 2*d - 2. Suppose 5*q = -3*i + 37 - 3, 0 = -5*i - 4*q + 35. What is i*y(r) + 2*o(r)?\nAnswer: 2*r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5 (c) -3 (d) 2\/1559 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/3)\/((-3)\/(-18)). Let s(n) = -n**2 - 12*n + 1. Calculate the smallest common multiple of s(x) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 83707?\nAnswer: 83704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 966?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004835 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, 1 z, and 1 b when four letters picked without replacement from ihzbbcbbbzzhibzbzhbi.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 26*k**4 + 20*k**4 + (2*k**2 - 2*k**2 + k**4)*(-3 + 0 + 1) + 2*k**4 - k**4 + 0*k**4 + 3*k**4 - 6*k**4 + k**4.\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/6449 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*n + n, -4*n = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-32)*4\/6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 0.17 (c) -11.7 (d) 5 (e) 4640 (f) 1\/6 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720*7*(-5)\/(-70).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - -432\/5. Which is the third biggest value? (a) -11 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Let p be 4\/18*21\/(-14). What is the smallest value in -3, s, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*((r**(-1\/4)*r*r)\/r)\/r)**(1\/35))**(-37) assuming r is positive.\nAnswer: r**(-407\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4264 and 21724916.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:05 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*u + 141, -4*g + 0*u = u + 273. Let r be (g\/16 - -3)\/((-5)\/20). Solve 3*c + 12 = -r*m, 5*m + 0*m = 4*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -22*h + 26*h. Suppose -1299 = -h*w + 594. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1, 12 in decreasing order.\nAnswer: 12, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -13*m + 558 - 113 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c1 + -553?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*a = 1 - 11, 2*v = -2*a + 2. Suppose -3*i + 20 = v*t, -1 = t - 4*i - 5. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312\/(-234)*((-9)\/(-10))\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.186 + -0.014. Let b = a + 0.4. Let t(g) = -3*g**3 + 4*g**2 + g - 1. Let p be t(-1). Is b at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1615 + 741 + 1334 + 544 - 2670)*(-2 + 2 - 4)*(0 + 0 - 2*i).\nAnswer: 12512*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1956715*q + 1955954*q - 3912669*q + 50*q**2.\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3391, -3393, -3395, -3397, -3399?\n\"Answer: -2*t - 3389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 880 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -28479\/1115?\nAnswer: -28479\/1115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1868 and -0.5?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10566 - 4793. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3674 = 5*k, 59 = -3*z + 41. What is the greatest common divisor of 1380 and k?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/50*(10 - 8). Let k be (-1 + 3*-1)*17\/(-646). Which is the nearest to o? (a) k (b) -3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 170?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 717*w**2 + 704*w**2 - 1 + 1.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33053736 divided by 348?\nAnswer: 94982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4656*r**4 - 7917 with respect to r.\nAnswer: 18624*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/6, -12, 11402 in decreasing order.\nAnswer: 11402, 1, -1\/6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*z - 48, -2*a = z - 7*a - 33. Let b = z - 4. What is the greatest common divisor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 + 7*p**2 - p - 19. Calculate b(4).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 24 = 52 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 14) to base 10.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19790693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + (2 - (-1 - -4)). Let z(b) = b**2 + 7*b + 8. Let q be z(n). Suppose 4 = q*v - 12. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -6710?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 128*j**2 + 2*j + 76. Let i(s) = -3*s. Determine i(l(q)).\nAnswer: -384*q**2 - 6*q - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 26*n**2 + 50. Let d be (438\/(-42) + 3)\/(4\/(-14)). Let t be g(d). Calculate the highest common factor of t and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -803*d**6\/2 + d**5\/5 - d**4\/4 + d**3\/3 - 853*d**2\/2 - d - 834. What is the third derivative of n(t) wrt t?\nAnswer: -144540*t**2 + 24*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 32*q + 1946. What is s(-33)?\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -149a5 - 24?\nAnswer: -14a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z**2. Let h(y) = 10*y. Determine h(d(w)).\nAnswer: 230*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20115.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f**2. Let s(g) = 118*g - 46*g - 59*g. What is d(s(p))?\nAnswer: 2366*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.070558*-46.52\nAnswer: 3.28235816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58987566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3 + 28\/4. Solve l*u + 21 = 4*f, 4*u + 5 = -2*f - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/14)\/(180\/70))\/(((-17)\/(-21))\/17)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 16*r**2 + 4*r - 34. Calculate the remainder when 318 is divided by z(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.8, 0.13, 0.3, 0.06 in descending order.\nAnswer: 4, 0.3, 0.13, 0.06, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 98 + (-7 - 1) + -6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -974*u*z**2 - 5*u + 45*z**4 - 14084 wrt z?\nAnswer: -1948*u*z + 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 259341300 rounded to the nearest one hundred thousand?\nAnswer: 259300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 16, -5, 273, 0, 2 in ascending order.\nAnswer: -5, 0, 2, 11, 16, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (552 + b - 949 + 513)*(-188 + 44 + 36 - 144).\nAnswer: -252*b - 29232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 21*b**2 - 173*b + 499. Calculate t(3).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*i - 200 - 30 - 732 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 19, 4, -3 in descending order.\nAnswer: 19, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*q + 63*q + 20. Sort 89, q, 3, -3 in descending order.\nAnswer: 89, q, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-7475255)\/604)\/(1\/((-16)\/10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -18*a + 256. Determine i(5).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 61770 = -165474. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197268*k**3 - 1216*k + 88.\nAnswer: 1183608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/21)\/(10\/(-28)). Sort -2\/17, 3, r, 1 in descending order.\nAnswer: 3, 1, r, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -888 - -892. Let i = -20 - -21. Which is the closest to i? (a) 0.5 (b) l (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 496 (c) 1\/7 (d) 4014\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*h + 28 = 0, 0*z + 4*h + 16 = -4*z. Let x be -51*-6*z\/(-27). Suppose b - 20 = -4*u, -5*b + u = -32 - x. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g + 2*g. Suppose g*h - h = 45. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33393910?\nAnswer: 2, 5, 11, 303581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 0*p**2 + 25 - 2*p**2.\nAnswer: -3*p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21414 - -22023?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k**2 - 2*k**2)*(k - k + 5*k) + (6569 - 399*k**2 - 6569)*(-k - 4*k + 4*k).\nAnswer: 394*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3 - 5737*w**2\/2 - 750903*w + 1507545\/2 = 0?\nAnswer: -2577, -585\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 8 - 9 + 9 + 8. Let s(x) = -4*x + 4*x + 10*x**2. Calculate s(n(y)).\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/(3\/(-6)). Solve -4*y + 5 = -i*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -271. Let s = k + 77. Let y = 133 - s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011101101111 + 1101010?\nAnswer: -110011100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38542090 is divided by 1997?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96422256031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-1) - 0) + 6197. Let q(a) = -22096*a**3 - a**2 + a + 1. Let n be q(1). Let r = n + i. Round r to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 182600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 50*s**2 - 44*s - 391. What is b(51)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -191*w**3 + 2*w**2 + w. Let a be f(-1). Suppose -7*u - u = -a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 21 = -h, -6*h - 2*m = -2*h + 18. Let p = h - -17. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 1, a: 1, b: 5, w: 2, z: 4}. What is prob of sequence wla?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470\/1729 - 11\/7*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 710, 725, 756, 809, 890, 1005, 1160?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42840 divided by 765.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -6*x + x + 18, -3*z - x = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1101734554 and -1.\nAnswer: -1101734555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13922218306 - 13922218306 + 9*l + 81*l.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -49714, -9\/26, 3\/2, 0?\nAnswer: -9\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.196, -5, 2, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0.4 (c) 4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -4700?\nAnswer: 4700.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 15*b + 5. Let l = -35 - -50. What is f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198890979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d - 6*d + 3*d**5 + 6*d**5 - 3*d**5 + 2*d**5 + (0 + 0 + d)*(-4*d**3 + 4*d**3 + d**4) + 58*d**5 + 66*d**5 - 94*d**5.\nAnswer: 39*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*v - 0*v. What is the remainder when 37 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-10 - -10) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2921 - 1221. Suppose p = 27*u - 17*u. Calculate the greatest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 = 4*a, -3*y - 4*a = 1 + 8. Let r = y - -3. Suppose r = -2*j - 0*j + 10. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f = 30*f. Let c = f - -12. Let q = -648 + 676. Calculate the least common multiple of c and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*-2*3\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 914652 and 333396?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 4*c**2 - c + 1. Let h(o) be the third derivative of -o**5\/15 - 6793*o**2 - 7*o. Give h(a(r)).\nAnswer: -256*r**2 + 64*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 21 - 1. What is the second derivative of -5*y - y**3 + 3*y - n*y wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 5, l: 1, z: 7}. Give prob of sequence lr.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = o - 2*p, 120*p + 1460 = 2*o + 125*p. What is the highest common factor of o and 1320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(1 - 2*j - 1)*(-3*j - 4*j - j)*(-2 + 0 + 1).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + sqrt(1701) + (sqrt(1701) - sqrt(1701)*2) + sqrt(1701))\/(sqrt(63)*-1).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5.94. Suppose -136 = -31*y + 23*y. Let n be (-6)\/(-12)*8 - y\/4. Which is the smallest value? (a) n (b) 0.3 (c) i (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - w + 6 - 5*w + 0*w + 11*w + (5 - 5 - 1)*(-1 + 2*w + 1))*(-4*w**2 - 13*w**2 + 5*w**2).\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*d = -12, 0*d = -4*p - d + 4. Suppose 3 = -p*t + t. Let l be (0\/(-1))\/(t + 0). Which is smaller: l or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*z - 25, 4*s + 5*z = 8 + 72. Calculate the greatest common factor of s and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/3)\/f*f)**(17\/4)\/(f**(-1\/3))**(3\/20))**(-13))**(-27) assuming f is positive.\nAnswer: f**(20241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-9)\/(-27))\/((-5)\/15))\/(38\/(-38)))\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/15 - 16*k\/5 + 32\/3 = 0 for k.\nAnswer: 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212 + -21?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15538.1 - 15538. What is the closest to u in -2\/23, 7, 15?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5949 (base 11) in base 7?\nAnswer: 31506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0*d - 5*d + d + 7*d + 4*d + (-2 - 1 + 1)*(2*d + 3*d - d))*(-2*d**3 + d**3 + 7*d**3).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) 1\/7 (c) -13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 2*n = 70, -31*j + 13*n + 128 = 83*j - 113*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - p = 46, -4*v - 3*p - 17 - 36 = 0. Let f = v - -51. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 - -45. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15795*m - 2365 = -15838*m for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k**2. Let h(n) = -8*n**2. Let b(p) = 9*p**2. Let y(u) = 3*b(u) + 4*h(u). Determine y(s(t)).\nAnswer: -720*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -2)\/(-1) + (-114)\/45. Let k = 2\/15 - b. What is the fourth biggest value in k, -0.4, -6\/7, 4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17398 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 24 - 8 = 0. Let c(q) = -q**2 - 8. Let f be c(k). Let w be -1 - f\/((-2)\/(-1)). Calculate the greatest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -436, 3, -3 in increasing order.\nAnswer: -436, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/(4\/(-10)). Suppose -d*q = 3*q. Let v = 8 - 119\/15. Is q at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwqqtwtqqtwqqqqrq. Give prob of picking 1 w, 1 r, and 1 q.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 14 - 14)*(-9 + 9 - 3*m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, 31, -3, -4, 3.\nAnswer: -17, -4, -3, -2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5014 - -1?\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbddbbdbmbbdddbbb. What is prob of picking 1 d and 3 b?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m**2 + 24*m. Let j(x) = -11*x**2 - 24*x. Let y(o) = -3*h(o) - 4*j(o). What is the second derivative of y(f) wrt f?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38471*n**2 - 3*n + 28604?\nAnswer: 76942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 - (-7 + -4 - -5) - (-7 + 1 + -6).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*d = 8*d - 12, -2*b = -3*d + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 3. Let l be o(-4). Solve 0 = -2*a - 4*i - 8, -3*a - 5*i - 9 + l = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/18*1744\/(-20)*-3. Let c = b - -223. Solve 2*x = -c*z - 1, x + 0*x + 3*z = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1047\/(-12215))\/((-3)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0236 minus -22.1?\nAnswer: 22.0764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 985\/125 + -3. Let o = w - -34\/75. Determine m, given that -1\/3*m**2 + 2\/3 + o*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1177 - 1225 = 0. Suppose 22*f + a = 56. Sort -4, f, -17.\nAnswer: -17, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/283899 and 67\/308.\nAnswer: 1135596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4690?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -35*q - 4699. Calculate the remainder when 773 is divided by n(-135).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 84825.\nAnswer: -2\/16965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 272 - 256?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 531720 divided by 10\nAnswer: 53172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 5*t + 5*t - 2 + 2 + t**2 + (4 - 3 - 2)*(-2*t**2 + t**2 + 2*t**2) + 2*t**2 - t**2 + t**2 - 3*t + 3*t - 3*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 1. Let o(x) = 99*x + 270. Let d(p) = 9*a(p) - o(p). Calculate the lowest common multiple of 22 and d(-6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1805 divided by -1.\nAnswer: -1805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = 2*v + 5*z, 5*v + 37 = -4*z. Let b be (24\/18)\/((-6)\/v). Suppose 2*f - b = -6. Let h(a) = a + 2. What is h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.12 - -31.93. Round m to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 27. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q - 3. Let g(l) = l - 1. Suppose 5*h + 3*b = -1376, -2*b = 4*h + 255 + 845. Let a = 283 + h. What is a*g(f) - 3*c(f)?\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -91*l + 93*l, -2*l + 6 = 0. Which is greater: b or 1\/1708?\nAnswer: 1\/1708","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 19 = -89. What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 45, -4, 37\/11, 0, -674 in ascending order.\nAnswer: -674, -4, 0, 2\/3, 37\/11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1021264 by 16.\nAnswer: -63829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/272 and -105\/2992?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51310 is divided by 397?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 2*f**3\/3 + f + 14. What is q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27963\/(-3107))\/(((-18)\/(-4))\/((-6)\/(-2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4234, 9195, 14156, 19117, 24078?\n\"Answer: 4961*g - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 + 10 = 2*c, -4*u - c + 20 = 0. Let l = -1 + 3. Suppose l*i = -a - 4, 2*a + u = -i + 5. Solve 0*h = a*h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 + 169. Let c(s) be the third derivative of s**6\/120 - s**5\/10 + s**4\/8 + s**3 + s**2. What is the units digit of c(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -5*q**8\/336 + q**4\/6 + 2*q**2. What is the second derivative of r(l) wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4))**(-8\/5)\/(q**(2\/13))**(15\/7) assuming q is positive.\nAnswer: q**(2762\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = 7*f - 2*f. Suppose -4*q = 5*y - 116 + 4, 56 = 2*q + 2*y. What is the remainder when f is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 5*c - c)*(-2 + 6 + 0)*(1 + 8 - 4) + 109 - 4*c - 109 in the form w*c + u and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14636 is divided by 3635?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-2*sqrt(5)*6 - 2*sqrt(5)*5)).\nAnswer: -22*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 148.185 and 0.1?\nAnswer: 14.8185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2\/11 (c) 66 (d) -0.3 (e) -4 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63323483 is divided by 114?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*g - 12 = -p - 36*g, -p + 2*p - g + 3 = 15 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461079936?\nAnswer: 2, 3, 400243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-20) + 1\/4 + 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 51552?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75) + -4 - 1*sqrt(75)*5)*-5 + -5)**2*-4.\nAnswer: -120400 - 8000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/22400 and 31\/17920.\nAnswer: 89600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**3 + 7*a**2 + 8*a + 9. Let h(j) = 17*j**3 - 20*j**2 - 22*j - 26. What is -4*h(f) - 11*v(f)?\nAnswer: -2*f**3 + 3*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:30 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 - 4. Let i be y(0). Let x be (-15)\/(-25) + i\/(-10) + -14. Let n be (-204)\/26 + 1 - (-2)\/x. Let k(f) = -f**2 - 9*f + 2. What is k(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 10. Let h be u(-9). Let d = 6 - h. Let y = d + -3. Solve 4*b - 4*c = -28, 0*c - 10 = -2*b - y*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(8\/16). Let c be (-333)\/(-15) + h\/5. Let l be 75\/(-15) - (-7 + 0). What is the highest common divisor of l and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**14)\/h**(-3\/16))\/(h**(-6)\/h*h**(1\/4)) assuming h is positive.\nAnswer: h**(351\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148279 is divided by 24707?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00399 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 47*k + 78. Suppose -5*s + 34 = -26. What is the lowest common multiple of s and d(48)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10714658*w**2 - 5134*w - 5134. Let h(y) = -10433*y**2 - 5*y - 5. Calculate -5134*h(b) + 5*m(b).\nAnswer: -10268*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5 + 7. Suppose 5*o - 33 = 22. Let u(p) = 8*p - 8. Let q(h) = -3*h + 3. Give o*q(d) + t*u(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 234*w + 1534*w**2 + 1594*w**2 + w**4 - 10*w**3 - 3185*w**2.\nAnswer: w*(w - 13)*(w - 3)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -129*x - 34. Let d(b) = -3*b. What is j(d(z))?\nAnswer: 387*z - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*b**5 + 1328\/11*b**2 - 444\/11*b**4 + 0 - 6\/11*b**3 + 888\/11*b = 0 for b.\nAnswer: -1, 0, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -96 - 9*d**2 + 121 - 68 - 7*d**3 - 8*d**2. Let u(k) = 16*k**3 + 33*k**2 + 88. Let a(j) = 9*l(j) + 4*u(j). Differentiate a(p) with respect to p.\nAnswer: 3*p**2 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2.7, -3, -175, 355 in increasing order.\nAnswer: -175, -3, -2.7, 1\/4, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l - 7. Let f(t) = 11*t - 6. Let g(r) = -6*d(r) + 7*f(r). Let w(u) = -5*u**2. Give w(g(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -24, -45, -72, -105, -144?\n\"Answer: -3*s**2 - 6*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 5*t - 2*n, -7*t = -5*t - 4*n - 50. Let d be ((-228)\/t)\/4 + (-2)\/7. Let l be (-2)\/d + (-10)\/(-75). Is 2 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18286\/55 - 3402\/11. Is f <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) -0.4 (c) -0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 2\/3, -0.3, 0.2 in descending order.\nAnswer: 2\/3, 0.2, -0.3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -5*h**3\/6 + 11*h**2\/2 + 3*h. Let q(v) = 2*v - 4. What is -4*a(d) - 11*q(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379\/20 - -1523\/340. Let k = 2\/25197 - 27742169\/3426792. Let j = k - w. Calculate the common denominator of j and 37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(128)*2 - sqrt(128))**2 + sqrt(128) + 3).\nAnswer: 24*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 238309 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(2\/8)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*(b*b**(-3)*b)\/b*b**(4\/11)\/(b*(b\/(b*b**(-3\/11)))\/b))**(-43) assuming b is positive.\nAnswer: b**(2322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*w - 15 = 0, 2 + 1 = 4*h - w. Let g be ((-260)\/13)\/(h - (-3)\/10680). Round g to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*o**2 + 3*a*o + 2290*a + 26*o**2 - o wrt o.\nAnswer: -6*a*o + 3*a + 52*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35556704 by 472.\nAnswer: 75332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 60*o**2 + 14*o - 10. Let v(a) = -21 + 2*a**2 - 4*a**2 + 3*a**2 + a + 21. Let k(w) = 5*u(w) - 70*v(w). Find the first derivative of k(d) wrt d.\nAnswer: 460*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/31))**(-1\/18)*(m**(-5)*m)**22 assuming m is positive.\nAnswer: m**(-24553\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2271958 = -4*w, -1514652 = 2*f - 6*f - 4*w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 14. Calculate the remainder when 213 is divided by y(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 - 123. Calculate the greatest common factor of 32 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 52*t - 645. Give n(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 798448 divided by -1?\nAnswer: -798448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13493\/9 - -1499. Which is the closest to 0.1? (a) w (b) 5 (c) -200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + 1000101?\nAnswer: 1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 4. Let h(n) = n**2 - n + 1. Give 2*h(y) - v(y).\nAnswer: 2*y**2 - 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = n - 2*j, 5*n = 4*j - 94 + 6 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8879 divided by 13?\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (102*600\/8160)\/((-2)\/4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2\/(((-126)\/81)\/(-7)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q - 4*q + 442. Suppose -249 - 63 = -q*r. What is the remainder when 705 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 43979*i**2 + 23*i. Let h(n) = 3*n. Determine h(z(v)).\nAnswer: 131937*v**2 + 69*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142121 and 1659?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 162004 divided by 40501\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(13\/3)))\/v*v)**(-16\/7)*v\/(v*v**(-32)\/v)*v**(-3\/14))**(-1\/18) assuming v is positive.\nAnswer: v**(-961\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p - 4. Let z be (1 - -1)\/(14\/(-21)). Let x be q(z). Is (-4)\/(-14) - (-682)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 10, 1900, 2, -4 in descending order.\nAnswer: 1900, 10, 2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 7:05 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18585, -36291, -84345, -177921, -332193, -562335, -883521?\nAnswer: -1310925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 221, -145, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 41 + 154. Let f(v) = 6*v**3 - 5*v**2 - 5*v - 5. Let p(a) = a**3 - a**2 - a - 1. Calculate y*p(t) - 3*f(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57924 is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13 = -r - 2, -g - r = -3. Suppose -g*s + 4*s - 27 = 0. Let z(l) = 20*l. Calculate the remainder when z(4) is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 11*i + 5. Let l(h) = 4*h**2 + 22*h + 9. Determine 3*l(v) - 5*z(v).\nAnswer: 2*v**2 + 11*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -15*p - 10. Determine j(7).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 3*k**4\/32 + 7*k**3\/8 - 51*k**2\/16 - 5*k - 12. Factor o(l).\nAnswer: 3*(l - 1)*(3*l + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(720) + 2 + -1)**2 + -2 + (sqrt(720) + (1 + sqrt(720)*-1)**2 - -5*sqrt(720)*-2).\nAnswer: -108*sqrt(5) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8709 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/7 - 1187*t**4 - 149805*t**3\/7 - 674487*t**2\/7 = 0.\nAnswer: -9, 0, 8327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25621035673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - 4*z)*(-z**2 + 0*z**2 + 2*z**2) + (z - z + 2*z**2)*(2*z + 0*z + 0*z) + 28 + 42 - 11*z**3 + 14*z**3.\nAnswer: 6*z**3 + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o - 6. Let t = o + 25. Let u(d) = -d + 2. What is the remainder when t is divided by u(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c - 1. Let j(x) = -4*x**2 + 3*x + 3. Let v(p) = 2*j(p) + 6*q(p). Let f(r) = -69 + r + 69. Calculate f(v(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109847 is divided by 21956.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13035967 and 5586843?\nAnswer: 39107901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -116*j - 1702. Is i(-68) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 361 and 24750.\nAnswer: 8934750","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 516384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 645941761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.2. Let x = 0.4 + -0.3. Let a = x + 0.1. What is the nearest to 0.1 in a, s, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -12. Let x(n) = 3*n**2 + n**2 + 0*n**2 - 8 + 3*n - 3*n**2. Calculate the lowest common multiple of 12 and x(d).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -10*r + 4399 - 4389, -2*n = 16*r - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*c - 1493, -3*v - 2101 = -4*c - 6576. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 10, f: 2}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 28*q + 92 = 0. What is the smallest common multiple of 10 and q?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t + 174*t + 8975 - 742 - 345 = 0 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 4*k**5 + 4*k**5 + 4*k**5 + 2*k**5 + 0*k**5 + (-k**2 + 1 - 1)*(2*k**3 - 5*k**3 + 4*k**3) - k**5 - 4*k**5 + 2*k**5 + 2*k**5 + 5*k**5 - 6*k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*f - 10, -5*f = -5*u. Suppose -13 = 3*k - u*y, 4*y = -y + 10. Which is the closest to 0.1? (a) -4 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09666 - 7.84534. Let f = m + 8. What is f rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 23. Let l be a(-7). Let k(t) be the third derivative of -t**5\/15 - 2*t**3\/3 - 4*t**2. Let r(z) = 3*z**2 + 3. Calculate l*k(q) - 3*r(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 4*z**2 + 6*z - 10. Calculate u(4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 111101210?\nAnswer: 111101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.29 or 3?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y*y*y*y\/(y\/(y*y\/(y*(y**(1\/4)\/y)\/y))))**0*((y*y*y**(2\/15)*y*y)\/(y*y\/y**(-2\/11)))\/(y*y*y**(-1\/3)\/y*y**(-2\/5)) assuming y is positive.\nAnswer: y**(278\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1\/3, 0.1, 1\/7931?\nAnswer: 1\/7931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 13*y + 20. Is 20 a factor of (-1 - 5\/y)\/((-1)\/90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*t + 62. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from {l: 3, o: 15}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 - 2*n - 2*n**5 + 5*n + (0*n - 6*n + 4*n)*(169*n**4 + 585*n**4 + 127*n**4).\nAnswer: -1763*n**5 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-36) - -9*442\/2106) + (-345)\/171\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-6)\/4) + (-15)\/(-3). Suppose l = -x*u - 5, -2*u - 5 - 13 = -3*l. Put -0.4, u, -2 in decreasing order.\nAnswer: -0.4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 18 = -5*f - 112, 5*c - 122 = -3*f. Calculate the smallest common multiple of c and (-3020)\/2416 + (-490)\/(-8).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -20, -5, 16?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q. Let b(g) = -910*g + 33. Let i(a) = 269367*a - 9779. Let l(m) = 889*b(m) + 3*i(m). Give l(t(z)).\nAnswer: -6223*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 321*f**3*q**2 - 3*f**3*q - 572*f**2*q**2 + 4*f**2*q + q**2 wrt f?\nAnswer: 1926*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 - 1160311?\nAnswer: -1160250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -17.042. Let d = -0.0420244 - m. Round d to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*t + 160 + 68, -3*p - 5*t = -252. What is the remainder when p is divided by 68?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -49054, -1, 0.1 in decreasing order.\nAnswer: 14, 0.1, -1, -49054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y - 0. Suppose -r - f = 0, 5*f + y = -4*r - 2. Suppose -7*i + g = -2*i - 51, -r*i + 37 = g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -209 + 456*m**3 - 2*m**2 - 6*m**2 + 209*m - 163*m**2 - 38*m**2. Let i(j) = 13*j**3 - 6*j**2 + 6*j - 6. What is 6*f(s) - 209*i(s)?\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2200))\/(sqrt(44)\/sqrt(64)).\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 21. Let s be p(6). Let q = 90 + s. Let z = q + -38. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 52373*s + 15711911. Determine l(-300).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 2. Let y be t(2). Let z = 209 - 207. Suppose y = -5*d + z*d + d. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -7916, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, 9, 5, -2 in decreasing order.\nAnswer: 9, 8, 5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249395 is divided by 447.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*m = -47, v - m - 15 = -6. Let q be (-3 - 2)*(-4)\/v. What is the third biggest value in -2, q, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/18, 948, 0.613, 1, 3, -4, 0?\nAnswer: 948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 = 4*r + y, -3*y + 15 = 0. Suppose 12 = n + 4*u, 2*u + 20 = 4*n + r*u. Solve -5*j + n*b + 10 = 0, -3 + 19 = 2*j - 4*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*c - 0*r - 11, 0 = 2*c + 4*r + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(-3)\/(-6)*(-10 + -7755 + 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:33 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1046349*k**3*u**2 - 405362*u**2 wrt k?\nAnswer: 3139047*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50029 - 50021. Suppose -38\/9*o**2 - q*o + 8\/9 = 0. What is o?\nAnswer: -2, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let v = -0.47 + -0.03. Sort g, v, -0.3 in ascending order.\nAnswer: g, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1648 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*f - 107, -2*w - 69 = 4*f - 5*f. Let p = w - -57. What is the remainder when 87 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 40.8\nAnswer: 163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43480.75 years?\nAnswer: 4348.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 take away 2.19916?\nAnswer: 196.80084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 + 5*v**2 - 3*v - 11. Calculate s(4).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f + 12*f - 27*f + 38*f as i*f + r and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 0, 1\/7, -3, 52 in ascending order.\nAnswer: -5, -3, -1\/2, 0, 1\/7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 25*q - 6. Let b(l) = -5*l. Determine b(g(x)).\nAnswer: -125*x + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3408 and 2436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184319803 is divided by 96100.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -9748 in descending order.\nAnswer: 0, -2, -9748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 84*z + 318. Calculate w(39).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.2 + -7.708. Let t = d - -0.38. Let p = t + 0.08. Round p to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 182448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -13. Suppose -5*p + p + 3*a = -389, 0 = 5*p + o*a - 493. Let b = 138 - p. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2151 + 2151.0036. Which is the third biggest value? (a) -0.4 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -1 (c) -0.3 (d) 28 (e) 7.205\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 13. Suppose 22 = 5*f - 28. Let o be r(f). Find the second derivative of 0*z - 2*z - o*z**3 + 4*z**3 wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 34870.\nAnswer: -38\/17435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9))**38*((i\/(i*i\/i**8))\/i)\/(i\/(i\/i**(-5)*i)*i) assuming i is positive.\nAnswer: i**(175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211*r**2 - 213*r**2 - 4*r + 0*r + 4*r**4 to the form i*r**4 + o + w*r**2 + b*r**3 + y*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2087293584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/50)\/(3\/15). Find the third derivative of -2*y**d + 11*y**6 + 0*y**2 + 4*y**2 wrt y.\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1671943 from -51098.\nAnswer: -51097.8328057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g = 23*g - 4, -12*l + 7*l + 2*g = 37 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 624 - 147. Let z = h - -1258. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + -1001?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15186 or 15193?\nAnswer: 15186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:51 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/7 + 107015988\/(-84). Round k to the nearest 10000.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 10*d + 0*d)*(-1 + 1 - 3)*(-d + 5*d + 8*d).\nAnswer: -288*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + v + 6, -9*v - 10 = -10*h + 5*h. Solve m - 5*z = 23, -5*m - h*z + 5*z = -5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6762655856 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 6, -16\/3, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10571 at most 10148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -m + 20, 53*i + 4*m - 20 = 52*i. Let h = -34 - -31. Calculate the lowest common multiple of i and (5 - (h + 3)) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32602 + -2?\nAnswer: -32604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.59 - -1.9. Let n = 0.3 - k. Let a = n - -2.01. Sort -4, a, -5.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/4))**(19\/4)\/((q**(2\/5)\/q)\/q**(-9)) assuming q is positive.\nAnswer: q**(-387\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, 2\/15, -33\/17.\nAnswer: -33\/17, -0.37, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*c - 174, c = 5*t - 1713 + 1451. Solve -14*r = t + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(5 + -7)\/2 + 145. Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14210*n**3 + 203*n**2 + 406*n - 203. Let h(t) = -418*t**3 - 6*t**2 - 12*t + 6. Calculate -203*h(i) - 6*x(i).\nAnswer: -406*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*g + g. Let r be 8\/g*(-27)\/(-6). What is the highest common factor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - -1) + (3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460233 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 - j + 3. Let d be z(4). Suppose 0*x + 2*x - 4*x = 0. Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.447 + 0.047. Let p = 11.40091 + a. Round p to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4\/5*t**2 - 4\/5*t**5 + 0 - 4\/5*t**4 - 8\/5*t + 12\/5*t**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 3*n + n - 272*n**2 + 3*n**4 + 270*n**2 + 1 in the form g*n**3 + k*n**4 + r + m*n**2 + u*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.52 and -0.3?\nAnswer: -1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/15 - 99014*f**3\/15 + 198004*f**2\/15 + 158416*f\/3 = 0 for f.\nAnswer: -2, 0, 4, 49505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4722975494.\nAnswer: 2, 2361487747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 30. Determine i so that -5*i**3 - 6*i**2 + 14*i**2 - 10*i**u = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 12\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Let p(i) = -i**2 - 6. Let w be p(0). Let y be t(w). Suppose -9 = y*m - 69. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 + -0.2099973. What is l rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1))\/d*d)**(-8\/13)*d*(d*d*d\/(d*(d**(-4\/3)\/d)\/d))\/d*d**(-3\/4) assuming d is positive.\nAnswer: d**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.129? (a) -1\/9 (b) -3 (c) -2\/8537 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.3715394 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 100 = 0. Suppose 0 = 2*b - 4*b + o. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w**2. Let u(t) be the third derivative of 1\/6*t**3 + 0*t + 1\/15*t**5 + 0*t**4 - 1\/24*t**6 + 0 + 3*t**2. Give 3*b(k) + u(k).\nAnswer: -2*k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*4*-1*12\/(-48)*-13.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.08766 - 0.08766. Let i = 15 - 16.8. Let s = -8.8 - i. Which is the closest to -2\/7? (a) q (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15005 is divided by 7395.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 1887 = -10*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 121?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 93302.758 to the nearest 1000.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5 = x, -6*y = -10*x - 887 + 837 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4\/3 - 176*z**3\/3 - 12*z**2 + 5624*z\/3 - 9632\/3 = 0. What is z?\nAnswer: -43, -7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55300008)\/14 + (-23)\/((-161)\/4). Round q to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 0*t + 2*t + 2 = 0, v + 3 = -3*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 4804.058\nAnswer: -3843.2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -93*f**2 - 303*f + 0 - 83\/3*f**3. Differentiate u(d) wrt d.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 2*b**5\/65 + 166*b**4\/13 + 27556*b**3\/13 + 2287148*b**2\/13 + 94916642*b\/13 + 203. Factor x(z).\nAnswer: 2*(z + 83)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -624*a**2 + 20618*a + 96. Determine o(33).\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093522 a multiple of 1087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2) - 1)\/(13\/(-156))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7524, -60340, -203470, -482070, -941296, -1626304, -2582250?\nAnswer: -3854290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 > 2392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**2 + s + 8. Let l be w(-2). Let p(c) = -2*c**3 - 61*c**2 - 33*c + 10. What is the tens digit of p(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2*u + 3*u)*(109 + 68 - 33) to the form b*u + v and give b.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8551312 nanoseconds to seconds.\nAnswer: 0.0000000008551312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581 divided by 89?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 212131303001?\nAnswer: 212131302320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121450667 + -61600665. Suppose 11179519 - 47089523 = -3*g + 4*b, 5*g - q = 2*b. What is g rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126910791 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5660 and 4818.\nAnswer: 13634940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 3*w - 4. Let k be g(-5). Suppose 0*a + 6*a - k = 0. Suppose -5*r + 26 = -2*v + 6, -3*r = -5*v - 31. Solve -3*s + a = -r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6675 by -15.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-30) - (-10)\/18. Which is smaller: u or -0.074?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 15*p**2 + 13*p + 204. What are the prime factors of i(-27)?\nAnswer: 2, 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3*i - 1, -4*y - 19*i + 7 = -18*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -246\/161 - -13847\/5796. Calculate the common denominator of -1\/24 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x - x**2 - 19*x**2 - 5*x**3 + 22*x.\nAnswer: -5*x*(x - 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 40*d**2 - 4*d + 16. Let h(n) = -n**3 + 13*n**2 - n + 5. Calculate -10*h(y) + 3*q(y).\nAnswer: -2*y**3 - 10*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3240535 + -3?\nAnswer: 3240532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121.3 in 0.1, -1, -6\/5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 3:19 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*p**2 + 147*p - 147*p - 191*p**2 + 0 + 0.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -21*l - 2*l - 2*l**2 - 7*l - 100 = 0.\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*sqrt(78)*-2 - sqrt(78)))\/(6*sqrt(384)*2).\nAnswer: -13*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -444, -888, -1332, -1776, -2220, -2664?\n\"Answer: -444*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.57 - -6.97. What is the nearest to -1 in -2\/51, b, -9?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76215798 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -25*m. Let i be v(1). What are the prime factors of (45\/i)\/((-1)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 759.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i - 96. Let r be 1\/(-4) + (-294)\/i. Is r smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 429093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from wyzgrrggwxww?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14754481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 24161\nAnswer: -19\/24161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-23 - 2) + -49 + 62 - (1 + 61)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 11*m**2 - 5*m + 43. Let o(r) = -3*r**3 + 10*r**2 + 6*r - 55. What is -4*l(k) - 3*o(k)?\nAnswer: k**3 + 14*k**2 + 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3890470467?\nAnswer: 3, 13, 99755653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 710134 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z + 9*z + 3*z. Let r(c) be the second derivative of -c**3\/3 + 18*c. Give m(r(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3416530 and 3690.\nAnswer: 30748770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 274*t + 275*t = -14, -4*o + t = -11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*24\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4848 - -4851. Sort -56, 2, d, 4.\nAnswer: -56, 2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369.072 rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 2. Let i = 2 + -4. Let c = -33 - -35. Let u(y) = -3 + 9 - c*y + 4*y + 0*y. What is i*u(w) - 7*r(w)?\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*d + 25 = -95*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p = -38*p + 87*i - 79*i - 416, -3*p - 243 = -5*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15000911 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb + -1?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - d = 0, 0 = -2*a - 3*d - 13. Let k be (3 - a)*2\/(-12). Let n = -0.7 + 0.7. Sort -1, k, n in descending order.\nAnswer: n, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4933 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1688 or -1687?\nAnswer: -1688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -4, -227 in descending order.\nAnswer: -3\/8, -4, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33019243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 7, b: 3, s: 2}. What is prob of sequence snr?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 110577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2855, 5, -525, 2, 0 in decreasing order.\nAnswer: 2855, 5, 2, 0, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1289 - 12887\/10. Suppose 0*l**2 + 1\/10*l**3 + 1\/5 - b*l = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q**2 + 15*q + 1. Determine n(-4).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (63 + -62)\/(((-6)\/154)\/(-3)). Let g = 2 - -9. What is the highest common factor of g and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 x when four letters picked without replacement from hhhhaxhhzaxxx?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 3*t - 40. Let l(a) = -a**3 - 7*a**2 + 53*a + 372. Let u be l(-8). Is u > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**3\/4 + 3*r**2\/4 + 9*r\/4 + 7. Factor l(p).\nAnswer: -3*(p - 3)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m - 1 = s, 3*s = -12. Let g = 24 - 22. Suppose -g + 8 = 3*r. Put -4, r, m in increasing order.\nAnswer: -4, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 671.7 or 54?\nAnswer: 671.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*m = -i + 189, 0 = -5*i + 4*m + 235. Suppose 0 = 58*w - i*w - 371. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21\/57320?\nAnswer: -21\/57320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 1. Let b be a(-2). Suppose 0 = -5*w - 3*f + 14, f = -5*w + 27 - 9. Suppose 0*j = h - w*j - 11, h - 56 = -b*j. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2345389 and 115347.\nAnswer: 7036167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36354, -36244, -36134, -36024?\n\"Answer: 110*u - 36464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 + 115 - 107)*(-24*z - 4*z + 4*z + (4*z - 4*z - 2*z)*(-4 + 3 - 1)).\nAnswer: -2360*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwkwwmkklwlkmmwwwk. Give prob of picking 1 l and 1 m.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -709.0012 + 0.0012. Let h = m + 709.000405. Round h to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3388, 1 in decreasing order.\nAnswer: 3388, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:10 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3176*a**2 - 4 + 7 + 4*a + 3099*a**2 in the form q + g*a**2 + d*a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 386 - 188?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 3. Let m be l(1). What is the second smallest value in -1\/5, m, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2579*j - 125*j**3 + 233*j**3 + 2579*j + 637*j**3.\nAnswer: 745*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/144 and 137\/192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00456307 rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Let y be ((-6)\/(-20))\/(6\/8). Let t = 375\/7 + -6389\/119. What is the closest to n in t, y, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 55, 93, 155, 247, 375, 545?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 27*g - 52.\nAnswer: -(g - 52)*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51667987 or 51667986?\nAnswer: 51667986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/5 - 1773*o**3\/5 + 788327*o**2\/5 - 396303*o - 32582160 = 0.\nAnswer: -13, 16, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 - 2*z**3 - 8178*z**2 - 9628*z + 2 wrt z?\nAnswer: 24*z**2 - 12*z - 16356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*b - b + 5*g, -3*b + g = 4. Let k(u) = 55*u**2 - u - 1. Is k(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152125601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*b**4 - 2 + 131*b**4 + 2*b + 0 - b**3 + 2*b**2 + 0 to the form s*b**4 + h*b**3 + r*b**2 + v + f*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9719813*k**6 - 22*k**2 + 411520*k wrt k.\nAnswer: 1166377560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00121171291 to 7 dps.\nAnswer: 0.0012117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 6*v**2 + 8*v + 9. Let c be d(-7). Solve -o = c*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*l - 271, -f + 5*f + 4*l - 1084 = 0. Suppose 0 = -4*n + 45 + f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 448 + -306. Suppose -212*i - t = -214*i. Are -2 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(176)\/(sqrt(11)*1*-3))\/(sqrt(24)\/(-1*sqrt(3)*3)))**2.\nAnswer: 10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/5, 2, -37?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277392 by 4.\nAnswer: -69348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - 2.4. Put g, -1\/5, 5 in decreasing order.\nAnswer: 5, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 35 - 24)*(-7*o + o + 3*o).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 18*k - 30. Let t be n(-20). Suppose 0 = t*w - 7*w. Put w, -25, 2, 3 in decreasing order.\nAnswer: 3, 2, w, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-4) + 1100\/144 and 11\/(44\/(-8)) + 182\/60?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 28*g. Let h(q) = -662983*q**2 + 3*q + 662982*q**2 - 2*q. Calculate 2*h(p) - t(p).\nAnswer: p**2 - 26*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/5 + (-4)\/(-20). Let d(i) = i**3 - 5*i**2 - 4*i - 6. Let t be d(w). Put t, -1, 3 in descending order.\nAnswer: t, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.587 - 0.013. Let k = 8\/3 - 1\/6. Which is the fourth smallest value? (a) k (b) 1 (c) l (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/11)\/h)\/h*h\/h**(-4\/5) assuming h is positive.\nAnswer: h**(4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*m**4 - m - 46*m**2 + 2*m**4 + 44*m**2 - m**3 - m**3 to the form v*m**4 + j + h*m**2 + t*m**3 + k*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 247024532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 10, 0.\nAnswer: -11, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5500be1 + -5?\nAnswer: -5500be6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 6*n + 4. Let r be n + (1 + -1)\/4. Is r bigger than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*n + 4)*(20 + 4*n - 20) - 46*n**2 - 36*n**2 + 12*n**2.\nAnswer: -78*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**0*v*v)*v)**(3\/28)\/(v**(-5)*v*v**(-1)) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10.1. Let w = -12.7 - -13. What is the third biggest value in -4\/3, w, n?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j + 10. Let p be (j\/(-4))\/((-2)\/60). Is 526\/6 + 10\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/617 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22941 - 5?\nAnswer: -22946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 230610279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22902 = 810563*x - 809522*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -582 (c) 0.6 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405810096?\nAnswer: 2, 3, 89, 94993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 717, 1054, 1009, 582, -227?\n\"Answer: -191*y**2 + 910*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 8*q - 5. What is the remainder when i(-6) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/141)\/((-50)\/(-12))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16755*r**3 - r**2 + 16761*r**3 - 1 - r**2 - 4*r**4 to a + z*r**2 + v*r**3 + i*r**4 + l*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 + 135*a\/4 - 369 = 0.\nAnswer: 12, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 4*n + 4. Let h(a) = a**3 + 8*a**2 + a + 5. Suppose 5*x = 2*t + 62, 5*t + 3*x - 8 + 132 = 0. Let q = 18 + t. Let c be h(q). Calculate f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105625682 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*(h*h\/h**(1\/3)*h*h)\/h*h)\/h))**(-18))**(-24))**(-2\/45) assuming h is positive.\nAnswer: h**(256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = -2*w, 6*w - 3*w = -3*t - 9. Let h be (-3)\/(-1) + (w - 0). Suppose 0*o**4 + 2\/7*o**h + 0 - 2\/7*o**3 + 0*o + 0*o**2 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3593084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*i - 4*s, 10*s - 124 = 2232*i - 2230*i. Let t(w) = w - 5. Let h be t(4). Which is the closest to 0.4? (a) h (b) 1 (c) -19 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 588 and 42231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 4*g = 36. Suppose 4*h + t - 4 = g*h, 0 = -2*h + 2*t - 6. Let m be (h\/(8\/12))\/6. What is the second biggest value in 0.1, 4, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 8. Let b be d(-8). Suppose f - 6*f - 45 = b. Let l(y) = -3*y**2 - 28*y - 8. Let p be l(f). Is -41 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {v: 1, l: 4, r: 3, x: 4, d: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 18*c + 340. Suppose p + 4 = -4*i, -5*i + 2*p + c = 9. Let s = 0.5 - 0.9. What is the fourth smallest value in -4, -1, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iidi when four letters picked without replacement from iiiidiiddiii.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 406, 1331, 3122, 6067, 10454, 16571, 24706?\nAnswer: 35147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2267 + -2201. Calculate the least common multiple of 33 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1341, -2629, -3917, -5205, -6493?\nAnswer: -7781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-15)*((y**(-37)\/y)\/y)\/y assuming y is positive.\nAnswer: y**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 6*h - 9. Let o(y) = -1. Suppose 5*u - 8 = -3*i, -3*u = 8*i - 4*i - 7. Let c(d) = u*a(d) - 9*o(d). Solve c(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 4. Let y(l) = l - 10. Let s be y(13). Suppose 3*f - 9 = -4*i, 2*i + 7 = s*f - 2. Suppose -20 = f*x + x. Calculate z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8959.906g to tonnes.\nAnswer: 0.008959906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -334?\nAnswer: 3\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 59. Let r be k(19). Find the first derivative of 155 - 204 - 4*a + 2*a + 21*a**r wrt a.\nAnswer: 42*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -5\/3*i**3 + 13\/4*i**4 + 0*i**2 + 6 + 0*i. Find the third derivative of c(o) wrt o.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.084474 months to decades.\nAnswer: 0.02570395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104946 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.54147483 rounded to one decimal place?\nAnswer: 72.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -433*x - 1423. Is k(-10) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(12\/4) + 1057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1649.7708 months to years.\nAnswer: 137.4809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n + 3. Let t(f) be the third derivative of 0 + 4*f**2 + 0*f + 2\/3*f**3 - 5\/12*f**4. Let j(h) = 2*t(h) - 3*z(h). Calculate j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**3 - 4*p**2 - 1\/945*p**7 + 0*p - 1\/135*p**5 + 0 + 0*p**4 - 1\/180*p**6. Factor k(l).\nAnswer: -2*l**2*(l + 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9857118 is divided by 485?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -5*d, 4*d = -2*m + 14. Calculate the remainder when ((-5)\/15)\/(m\/195) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 121*j**5\/20 - j**3\/6 + 163*j**2\/2 + 818*j. Find the first derivative of b(t) wrt t.\nAnswer: 363*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and 22.8.\nAnswer: -615.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 9586935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -165, 5 in decreasing order.\nAnswer: 5, -6\/11, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, -4 in decreasing order.\nAnswer: 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352376918?\nAnswer: 2, 17, 10364027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7 - 3*t + 7*t + 1 + 3. What is the units digit of l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 74867227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516173?\nAnswer: 3, 47, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-27)\/32*36\/(-27) and 44\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9*((-60)\/(-24) + 49\/6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*b + 48. Suppose -1 = 4*i + 5*p, 3*i + p + 7 = -4*p. Solve 36 = b*v + i*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 18. Suppose 0 = 4*u + 3*j - 326, b = 6*j - j. Suppose 6*k = 2*k + u. What is the greatest common divisor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 - -383\/3. Let g(k) = -8*k**2 - 4*k + k**3 + 0*k**3 + 1 - 3*k - 13. Let z be g(9). Is z bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(684) - sqrt(209)\/(sqrt(176) + sqrt(11)).\nAnswer: -91*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/114100, 3 in descending order.\nAnswer: 3, -3\/114100, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*6.2686\nAnswer: -1.25372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(10\/4) - (-24)\/(-60). Suppose 2*d + 3*s - 8 = m, -4*d + 2*s + 36 = -12. What is the derivative of 16 - 6*k - d*k - 4*k + 0 wrt k?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10871 and -0.134.\nAnswer: -1456.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.19807 + 0.27807. Do 1\/7 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 1539492?\nAnswer: 1539491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(1 - -7 - (-79)\/(-10)). Let q be 75\/((-6)\/4 - -2). Calculate the highest common factor of q and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/((-54)\/12))\/(2\/(-150)). What is the common denominator of -91\/44 and (4 - 1) + (-6 - c\/144)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 27 + 15 = 0. Let n(c) = -2*c**2 + c - 35. Let q(d) = -d**2 + 2*d - 34. Let f(b) = t*n(b) + 2*q(b). Differentiate f(r) wrt r.\nAnswer: 8*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/20)\/(114\/(-19)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 456\/1026*(-103)\/4 - -11?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 v when three letters picked without replacement from vvvwwvwvwvwviwhvw.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/125, -5, 1\/348, -3 in decreasing order.\nAnswer: 2\/125, 1\/348, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:05 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1111, 1120, 1131, 1144, 1159?\n\"Answer: u**2 + 6*u + 1104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 6*i + 6*i**2 + 7*i**2 - 13 + 3*i**2. Let r(k) = 9*k**2 - 4*k - 9. Let m = 20 - 13. Give m*r(q) - 5*z(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3033001220 + 11?\nAnswer: 3033001231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249081055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 222011220001?\nAnswer: 222011212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 246.999 and -0.4.\nAnswer: -98.7996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005499 rounded to 4 decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -42494\nAnswer: 8073.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 259*p = -254*p + 31, -c - 4*p = 23. Let b(a) = 16*a - 1. What is b(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**15*q)\/q*q)\/q)\/q)\/q*(q*q**(-2\/5)\/q*q)\/q)\/(q**(-2)*q**(3\/7)*q) assuming q is positive.\nAnswer: q**(496\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*h - 2 + 5 - 3 - 110*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 395480167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62049, -62043, -62033, -62019?\nAnswer: -62001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 + v - 5. Suppose 2*h + 90 = -2*q, 2*h - q + 135 = -h. Let y = h + 40. Let b be t(y). Calculate the highest common divisor of b and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36122, 72301, 108480, 144659?\n\"Answer: 36179*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*m + 1 = -5*m, -4 = -m. Let x = 31.1 + -29. Let y = x + -2. Which is the closest to y? (a) -2\/5 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5017698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7508*v**3 - 1985*v**2 wrt v?\nAnswer: 45048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**3 - 19*n**3 + 44*n**3 - 17*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let y(r) = r**2 - r + 1. Let i(x) = -8*x**2 + 7*x - 7. Let b(m) = 2*i(m) + 14*y(m). Determine b(q(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 267240137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 1620 = -3*s. Suppose 0 = -333*d + 334*d - 54. Calculate the highest common factor of s and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 + c**2 - 2*c + 2. Let z be y(1). Let m = 10 - z. What is the remainder when 27 is divided by m\/(4 - -1) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*o + 25 = 0, 0 = n + o + 4*o + 25. Let y be -2 - n - (1 - 2). Let a be (-1)\/(-2) - y\/6. Are 0.1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -2\/7 (c) 5\/17 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -48*j + 48. Let c be n(1). Solve -5*h + 4*m - 6*m - 8 = c, -5*m - 20 = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*k + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {h: 1, x: 3, a: 3, l: 7, z: 3, c: 2}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10510195 to the power of 1\/2, to the nearest integer?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:03 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3736 is divided by 3727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/9)*f)**(23\/2))**(-10)\/(((f**(-1\/2)\/f)\/f)**(6\/25)\/(f\/(f\/(f**1\/f)))**42) assuming f is positive.\nAnswer: f**(-11473\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1668 - -1?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1371*i - 2225. Let n(l) = -2741*l - 4442. Let y(s) = -5*f(s) + 3*n(s). Find the first derivative of y(r) wrt r.\nAnswer: -1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11520, -46071, -103656, -184275, -287928, -414615?\nAnswer: -564336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63763 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38759 is divided by 275?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/6)\/(2*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2392*j - 2395*j - 5 - 2403*j - 117*j**2 + 7190*j in the form u*j + d + p*j**2 and give p.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-3*(-2)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/126 - 7*w**5\/60 - w**4\/6 + 72*w + 44. Determine z so that r(z) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2693720 and -71\/673430?\nAnswer: 2693720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 2*v - 1. Let q be u(-2). Suppose -21 = -5*d - 0*d - 2*w, -5*w + q = 0. Suppose -3*j = -0*j - 3. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/3260 + 156867\/140180. Does x = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**2 - 2*x**3 + 68 + 6*x - 1\/2*x**4. Suppose k(j) = 0. Calculate j.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (3 - 7)) + (-3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by 5?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4, 28\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 215 (b) 1 (c) -11919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456321323*-2.\nAnswer: -912642646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -326 + 318 - (-3 + 0 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*d = 4, z - 22 = 2*d - 5*d. Suppose -5*n + 45 = 6*c - c, 4*c - 12 = 2*n. Suppose -z*h + n = 25. Sort 1, -4, h.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + -109 + (-5 - -6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 15*g - 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by -3.\nAnswer: 340\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253860383.\nAnswer: 7, 36265769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) -1 (c) -0.5 (d) 0.2 (e) -6.3797 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 2 f when four letters picked without replacement from cfgjgffff?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1512 and 2179275?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 156\/16 + 6\/(-8). Suppose -j*a + 4 = -7*a. Solve 3*d - a*y + 17 = 0, -4*d - 21 = 2*y - 3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*x**2 + 158*x**2 - 47*x**2.\nAnswer: 223*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/153 and 11\/22166586?\nAnswer: 376831962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 + 13*p**2\/2 + 23*p - 17. Let x be k(-11). Calculate the remainder when x\/(-3) + (-138)\/(-9) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 161 - 2263. Let n = b - 175. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbbbbbggggb. Give prob of sequence ggg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9544 + -2.6544. Let s = 0.5 + -0.5. Which is the closest to -7? (a) 3 (b) -2 (c) z (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - 10. Let q = t + 21.32. Let n = 0.18 + q. Which is the second biggest value? (a) 3\/8 (b) n (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Suppose -4*a - 14 + 46 = u. Solve -5*d - 9 = 3*y - 37, 0 = -2*y + 2*d - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 140, 265, 378, 473, 544?\n\"Answer: -n**3 + 132*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/3 + 497*f**3\/3 + 60485*f**2\/3 - 318017*f\/3 - 126002 = 0. What is f?\nAnswer: -251, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.92806t in milligrams?\nAnswer: 87928060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 2, a: 2, o: 6}. What is prob of sequence ann?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8180.501mm in micrometers?\nAnswer: 8180501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -8, 1318, 1 in ascending order.\nAnswer: -8, 1, 3, 4, 1318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 + -1869\/8. Let t = -4.6 + 0.6. Let u = -6 - t. Which is the third smallest value? (a) u (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = 28. Let o = y + 11. What is the first derivative of 4*c**2 + 0*c**2 - 8 + o wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139 and 35584?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1096 - -2432. Does 72 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Let l(p) = -p**3 - 2*p**2 - p - 1. Let i be l(-2). Let u be 2*(-3)\/(-6) + i. Solve 0 = -6*y + 2*y + 2*r - u, z*y - 28 = -4*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732 + 733 - 1465 - 7*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -145, 55, 373, 803, 1339, 1975?\n\"Answer: -s**3 + 65*s**2 + 12*s - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.31685, 2, 0.2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 15) to base 14.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -178, -230, -314, -436?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1796.9 + 1797. Which is the fourth biggest value? (a) -3 (b) i (c) 2\/61 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 18*l + 4. Let j be q(-6). Let r = j + -70. Calculate the smallest common multiple of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 6\/7, 0.09, 50282?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 14. What is v(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.369 + -0.37199. Round y to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:30 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.14 and 74.588.\nAnswer: 74.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1433, 2868, 4273, 5636, 6945, 8188?\n\"Answer: -2*l**3 - 3*l**2 + 1458*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/616*42*2\/2.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 + -1035\/8. Let q(p) = -p**3 - 22*p**2 + 394*p - 472. Let l be q(-34). Let g = -3 + -6. Which is the smallest value? (a) l (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792648877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-326)\/320)\/((-6210)\/(-23575)) and 41\/216.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/2395569 and -61\/1145.\nAnswer: 11977845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244520 is divided by 439.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 3:26 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/5 (b) -2\/11 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 2, x: 1, e: 4, q: 2}. What is prob of sequence xu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-46))\/(135\/(-540))*1\/8*-1.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c**2\/7 - 3688*c\/7 + 1632\/7 = 0. What is c?\nAnswer: 4\/9, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -5*i - 3*v, 91*i = 154*i + 97*i - 3*v + 3825 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414171757 or 414171761?\nAnswer: 414171757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43961*p**5\/7 + 175842*p**4\/7 + 8*p**3\/7 = 0.\nAnswer: -2\/43961, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 862179746 rounded to the nearest 1000000?\nAnswer: 862000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*v = -435, -2*v + 5*v = 0. Put -3, -1, y in decreasing order.\nAnswer: -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**3 - 11*o**3 - 9*o**3)*(4*o - 5*o - o)*(7*o + 90 - 90).\nAnswer: 168*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -0.07059.\nAnswer: -5.07059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1354*n - 27906. Determine r(-18).\nAnswer: -3534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -1, -5, 16 in increasing order.\nAnswer: -44, -5, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttytgtqqy. Give prob of sequence gy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:10 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16048200 and 61\/2625.\nAnswer: 80241000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 3. Let y be h(-5). Let z be y*(15\/(-6) - -1). Let x = 0.092 - -0.908. What is the third smallest value in x, 2\/15, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 588660 - 588495, -5*m - 15*l + 805 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1\/6*n**4 + 0 + 10*n**2 - 8\/15*n**3 + 0*n - 1\/75*n**5. Find p, given that c(p) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - u**3 + u**3)*(3 - 182*u + 404*u - 202*u).\nAnswer: 40*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56.26 and -0.14?\nAnswer: 7.8764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.6. Let m = -0.0247 - 4.0353. Let j = m + 0.06. Sort j, z, 0 in increasing order.\nAnswer: j, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + -25.9. Let l = f + 25. What is the smallest value in 0.2, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 19*d**2 + 551*d + 5033. What is a(-9)?\nAnswer: 1613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 rounded to the nearest ten?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -m - 10, 3*m + 14 = 4*j - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l + 8. Let j be y(1). Solve 2*r + j*u = -0*r, -2*r - 4*u - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1870 and 174130.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -64869 (base 13) to base 5\nAnswer: -21302333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + d**3 - d**4 + 5*d**4 + 0*d**4 - 4*d**4 + (-6 - 6 + 2)*(-4*d**4 + 3*d**4 + 0*d**4) + (-293*d + 17*d**3 + 293*d)*(2*d + 0*d - 4*d).\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*h**2 - 60*h + 112*h - 54*h to the form u + t*h**2 + g*h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 32. Suppose 3*k - 1 - 23 = 0. Suppose g = 4*i - 15, -3*i - 4*g + k*g = 5. What is the remainder when n is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) - ((-2 + sqrt(5))*-3 + sqrt(5))))**2*-1.\nAnswer: -116 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 49?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let h be v(-4). Suppose 47*k = 140*k - 465. Solve k*g - h = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**4\/4 + 2*r**3 - r**2 + 4*r - 8. Let d be u(-7). What are the prime factors of (-3)\/6 + d\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 594 and 91344?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 42 = -18. Suppose -r - b*c + 10*c = -13, 9 = -3*c. What is the greatest common factor of 8 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1.7?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000303034 rounded to six dps?\nAnswer: 0.000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 6250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y + y + 3*y)*(-1 + 3 - 4)*(-200 + 109 + 106) to the form s*y + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/(i\/i**10)*i**2*(((i**(-13)*i)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74.01 + 69. Let w = 5 + i. Let d = w + -0.99. Put d, -2\/3, -4 in descending order.\nAnswer: -2\/3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*l**3*o**3 - 175330*l**3 - 603465*l**2*o**3 wrt l?\nAnswer: 72*o**3 - 1051980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17563 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 != -12396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/8 (b) -770 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4\/3 + 3275825*u**3 + 1609659328320*u**2 + 4828948502580*u.\nAnswer: 5*u*(u + 3)*(u + 982746)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k. Let o(s) = 11*s. Give o(m(r)).\nAnswer: 154*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 5*l**2 + 6 - 4*l - 1 - 1. Let s be j(4). Suppose 6*z = -b + z + 63, 0 = -s*b + 4*z + 348. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*c**4 - 5*c**2 + c wrt c?\nAnswer: -4272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 15*z - 5*z - 2*z + 6*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9557 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 57. Let p be -8 + 185\/3 + 2 + 0. Let w = p - f. Which is the nearest to 0? (a) -0.5 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 377. What is the units digit of v\/(-5) + 0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1012 and 53262.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -600, -609, -654, -753, -924, -1185, -1554?\n\"Answer: -3*k**3 + 12*k - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10567660, 10567665, 10567670, 10567675?\n\"Answer: 5*k + 10567655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1445.5982 + -1446. What is x rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -514704 or 33?\nAnswer: -514704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -55, -106, -189, -310, -475?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/126 + 90\/(-14). Put -4, 2, -2, y in increasing order.\nAnswer: y, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784852 is divided by 20651.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1046*t**2 + t + 1. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtdtdddit. What is prob of picking 3 d and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 106191516 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16949 + 51347. What is the highest common divisor of 117 and h?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4540, 4529, 4520, 4513, 4508, 4505?\n\"Answer: i**2 - 14*i + 4553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -25.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 3409*n**2 - 706580*n.\nAnswer: n*(n - 196)*(n + 3605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 801751053*y**3 - 432993*y**2 + 145.\nAnswer: 4810506318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000012 (base 3) in base 2?\nAnswer: 10110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-48)\/10*(-7 - 1140\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*v - 388*v**2 + 776*v**2 - 389*v**2 + 2*v**4 to the form c*v**3 + j + t*v**2 + d*v**4 + r*v and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5*-29802\nAnswer: 149010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.12 - 5057980696.\nAnswer: -5057980697.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -142)*-1 - (4 - 3). Suppose -7*d - r = -938. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 636497.842611 - -258473.757205. Let k = i + -894976. Let r = k + 4.4. What is r rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5\/(w\/(w\/(w**3*w)))*w\/(w\/((w**(-3\/4)*w)\/w))*w*w**(-6) assuming w is positive.\nAnswer: w**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 20 = -2*t. What is the remainder when -5 + 1 - (56 - 141) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o - 2. Let a be (-2)\/(-8) + 7\/4. Let r be k(a). Let t be (2\/(-3))\/((-8)\/r). Solve 1 = -u - t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*y - 94 = 36 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -626 + 4380\/7. What is the fourth biggest value in -10, w, 0.5, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -5*q**2 - 110*q - 5964. Let u(a) = 4*a + 44. Determine -5*g(h) - 12*u(h).\nAnswer: 2*h + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65993566 by -2.\nAnswer: -32996783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 574 - 519. Suppose -3*d + 61 = q. Solve -f - u - 1 = 3, 8 = -3*f - d*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6772.2 + 6770. Sort 0.41, -0.5, n in decreasing order.\nAnswer: 0.41, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.1137 + 62.114. Let h = z + -28. Round h to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -973000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/70 - (264\/(-42) + 6). What is the second biggest value in 1, 0.5, 5, r, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -30, -279 in descending order.\nAnswer: 13, 4, -30, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -8 (c) -0.3 (d) 4 (e) 3\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -17 + 5*t - 7*t - 6*t. Let m(d) be the third derivative of -d**4\/8 - d**3 - 35*d**2. Give -17*m(k) + 6*q(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = d - 4*p - 39, -10 = -5*p. What is the greatest common divisor of 602 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -23*v + 13. Let q(h) = 11*h - 7. Let t(o) = 6*g(o) + 11*q(o). Calculate the remainder when t(-4) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5328 - 5327.59. Sort 0, 2\/13, 2, o, -2 in decreasing order.\nAnswer: 2, o, 2\/13, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452928 by -226464.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from {y: 8, c: 6, m: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + g**2 + 7*g**2)*(4*g**2 + 0*g**2 - 6*g**2)*(-461 + 281 - 224).\nAnswer: 6464*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1.231, 564?\nAnswer: 564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmymymmmmmmyyyymm. Give prob of sequence mm.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 64*k - 192.\nAnswer: -4*(k - 12)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 2107397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1185, 2374, 3567, 4764?\nAnswer: 5965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 713?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 241066 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 295. Let a be o(0). Find the common denominator of a\/420*-4 - 2 and 867\/(-180) - (-3)\/12.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 times 13?\nAnswer: -1.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 204928404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 105, 2\/7, -168, -0.09?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85e4c - -5?\nAnswer: 85e52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Suppose -7*r + 12 = -5*r, 0 = 4*g - r + 6. Solve g = 2*s - w*s - z - 11, -2*s = -2*z + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6909 minus -556?\nAnswer: -6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 2. Let s be y(4). Solve -s = v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*l - 95. Let z = 59 + l. Calculate the common denominator of -87\/2 and 0 - -3*78\/z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3 - 3 + 1. Let m be ((-2)\/4)\/(2\/(-16)). Let p(s) = 2*s - 4. Give m*a(q) + p(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c + 2. Let s be i(-4). Let j = s + 88. Calculate the remainder when ((-295)\/j)\/((14\/(-4))\/7) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 2*s**2 + 2*s + 3. Let r be n(-2). Suppose r*b = 54 + 23. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52744)\/88832 - (-1)\/2.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -16*n + 44327. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -0.297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i + 152. Let u be c(-14). What is the nearest to u in -0.4, 3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*l - 209, -4*a + 4*l + 188 - 8 = 0. Calculate the remainder when a is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, -4, 3 in ascending order.\nAnswer: -5, -4, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (8 - -8 - 19).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 3\/17 (c) -3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/29, -5, -10\/7, 1 in decreasing order.\nAnswer: 1, 3\/29, -10\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/35)\/(-7)*505\/(-9393).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 1433*s + 718*s + 741*s + 14*s**2.\nAnswer: 2*(s + 2)*(7*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 42?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - 10. What is the common denominator of -3 + 6 + n\/8 and -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -95. Suppose p*q - 35 - 10 = 0. Suppose -3*n - 5 = -q*n + 5*b, 5*n = 5*b + 20. Solve 4*w - 4*v - 8 = 5*w, n*v = 3*w - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8180 = -92*x + 101*x, 5 = -o. List the prime factors of x.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.9? (a) -4 (b) 0 (c) 5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - b**2 + 0)*(b + 0 + 0)*(-b - 5 + 5) + 6*b**3 - 4*b**4 - 6*b**3 - 3*b**3 + 3*b**3 + 6*b**4 to t*b**3 + l*b + q + y*b**4 + f*b**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299186 or 0.0183?\nAnswer: 299186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492970153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 10*a + 51*z + 883 = 0, -a - 5*z - 85 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 2381988*k**2 + 30966376*k - 85753440 = 0 for k.\nAnswer: -595510, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(0*q - 5*q + 4*q) - 3*q + 43 - 43 to b*q + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 10*d**2 + 10*d - 9. Let z = 562 + -553. Calculate v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*n - 63, 9003*f = 9012*f - 7*n + 4*n + 108 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102040 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, -2\/41, 5, -1, -11 in decreasing order.\nAnswer: 5, -2\/41, -1, -5, -11, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2835)*-1 - sqrt(2835) - sqrt(35)) + sqrt(35) + sqrt(175)\/sqrt(20) + sqrt(35))\/(sqrt(84)\/sqrt(3) + sqrt(14)\/sqrt(18)).\nAnswer: -99*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041082 rounded to four decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + 10*d + 8. Suppose 0 = -4*x + 2*y, 0 = 4*x + 2*y + 15 + 9. What is w(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 167096 - -109?\nAnswer: 1671a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 163 = -4*u - 643, -z + 105 = u. What is the tens digit of (52\/(-10))\/((-20)\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4 = 3*d + d, -10 = -5*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*137 + -5 + 1 + -3. Let q = s + 1318. What are the prime factors of q?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose t - 2*q - 1 + 9 = 0, 2*q - 4 = 3*t. Solve 0 = d, 2*d = i*c - t*d - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11955443*f**5 - f**2 - 17*f - 107739 wrt f.\nAnswer: 717326580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 903655 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1010010111101010010 (base 2) to base 15\nAnswer: -6aa2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.95189l to millilitres.\nAnswer: 14951.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3\/3 - q**2 + 6*q - 3. Let u be h(4). Let s = 11 + -7. Solve 0 = -4*o + s*p, -5*o + p = -u + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**2 - 5*u - 44. Let j be h(10). Suppose -38*s = -32*s - 132. What is the highest common divisor of s and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/55, -3\/2, -51, 0.3.\nAnswer: -51, -3\/2, -1\/55, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7\/i*i**(1\/13)*(i\/(i\/i**(-1)))**(-3) assuming i is positive.\nAnswer: i**(118\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1474*l**3 - l**2 + 7*l - 1. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (32\/10 - -2)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -41 + 8 + 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u + 26. Let l(m) = 1. Let j(a) = -4*l(a) + v(a). Let d be j(-7). What is the units digit of (-2)\/6*-101 + (-38)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -2*c - 48. Let y = 79 - c. Suppose 7 = 4*q - 1. What is the greatest common factor of y and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:53 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45548109.\nAnswer: 3, 1686967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c934 + 4?\nAnswer: c938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3958320 rounded to the nearest one hundred thousand?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/36)\/(-2))\/(15\/((-1350)\/490)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 4*c - 6. Suppose -5*w - 20 = -4*h, 14*h - 16*h = -2*w - 10. Give y(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4103.\nAnswer: 5\/4103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(0 - 1\/(-119)). Let i = r - -171. Let m = 21 - 8. Calculate the highest common divisor of i and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 16*s + 81. Let v be (-6)\/(-10) - (-14)\/10. Put -1, -2, v, s in descending order.\nAnswer: s, v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1142 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 4*r**2 + r**2)*(1 - 1 + 2*r) + 2*r**3 - 4 + 4 - 938*r**3 - 715*r**3 + 2220*r**3 to the form q*r + o*r**2 + s + x*r**3 and give x.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -208, -294, -374, -448, -516?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176) + 2 + sqrt(176) + (sqrt(176) - sqrt(176)*-2) + 2)**2 + 5 + 0 + 3.\nAnswer: 160*sqrt(11) + 4424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 29*c + 486 = 0. What is the remainder when 67 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 10*w + 4. What is d(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z - 4*z - 2*z + 3*z. Let u(o) = -4*o. Determine u(s(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 296817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18592*y**2. Let u(s) = -s. Calculate u(l(h)).\nAnswer: -18592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - a0?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/82*2\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25935.\nAnswer: 3, 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897504.\nAnswer: 2, 7, 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -52\/19 (c) 0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7882?\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/14 in 1\/7, 0.1, -5, -0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 112*l**2 - 5*l + 563. Let g be h(112). Find m, given that -4\/5 + 12*m**2 + 64\/5*m**4 + 17\/5*m - 272\/5*m**g = 0.\nAnswer: -1\/4, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 7*l + 10. Let z be f(-8). Let y(v) = -4*v - 10 - 1 + v + z*v. Determine y(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 0.5, -268\/7, 2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29 + 1*(2 - 1). Suppose -4*f = -4, -3*f + 33 = -5*c - 5. Let u = c - -13. Calculate the greatest common factor of u and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 212 = 253 + 775 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61471 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: Solve 2*x - 16 = -2*d, 48 = 15*d + 30*x - 33*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 635573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = -35. Let t(i) = -i**3 + 6*i**2 + 10*i - 12. Let b be t(6). Let k = b + -34. What is the highest common factor of p and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068 divided by 6?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:13 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 + 0 = 0. Let h(a) = -129*a**3 - 3*a + 6*a**2 + 28 - 14 - 8*a**2 - 16. What is the remainder when h(j) is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(144\/(-12)))\/((-2)\/72).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*k - 18 = 0, 5*j - 7 + 0 = -4*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 12\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -24.6. Let b = -68801374.60000076 + 68801372. Let f = b - i. Round f to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1 + -5 + 1 + sqrt(684) + 0 + sqrt(1539))**2.\nAnswer: -114*sqrt(19) + 6868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1386281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*z = -575 - 6588 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101 - -68) + (-3 - -24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + abc7a?\nAnswer: abc77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-1365)\/135)*(72\/(-8))\/(-27)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cd32a + 0?\nAnswer: -1cd32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*b - 9 = 0, -12 = 2*p - 4*b + 2. Suppose 0 = 3*f - 0*f. Suppose p*r - 4*r + 131 = f. Is r 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 9:48 PM and 1:12 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 8 = 0. Let w be y - (-3)\/6*0. Solve -5*f + 3*r - 2*r + w = 0, 2*r = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) -2\/3 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 1307754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -46. Let u = q - 24. Suppose u = -2*l - 2*l + 12. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-8)\/(-2)*1. Calculate the common denominator of 1\/5*(-182)\/a and (-1)\/(-1) - (-114)\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1\/4, 2\/33, 0.1, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 11*i**2 + 12*i + 4. Let v be d(12). Suppose v*l - 77 = -17. Let o be 17\/3 - (-5)\/l. Solve -3*a = -0*a - t + 8, 5*a + 2*t = -o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 3:54 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.53811 centuries in months?\nAnswer: 109845.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2 - 7*j - 8 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*w, 3*w - 58 = -5*b - 8. Suppose -31 + b = -3*f. Is 5 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**(-3)\/p)*p**(-3\/5))\/(p**1)**39)**(-13\/3))**14 assuming p is positive.\nAnswer: p**(10192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9948*x - 2378*x - 369*x.\nAnswer: -12695*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -702 - -745. Suppose -d*u + 515 = -1377. Let r = -15 - -81. Calculate the highest common divisor of r and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(7 + -70))\/(0 + -1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -162716 and -162717 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.03 + -0.03. Let z be (-2)\/4 + (-3)\/(-6). Sort 2, z, t in decreasing order.\nAnswer: t, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*t + 5*t - 7*t)*(-5*t**2 + 3*t**2 + 6*t**2)*(-24*t**2 + 5*t - 7*t + 8*t**2).\nAnswer: -1216*t**5 - 152*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*j + 50905, 4*f - 50895 = -f + 4*j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -24. Let i = w - -16.06. Is i at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8920167770 and 8776.\nAnswer: 8920176546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - -65. Find the second derivative of 14*q**3 + 186 - r - 10*q wrt q.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + 1) - -24 - (-3767 - -3761)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13413 - 13410. Solve k*r + r - n + 13 = 0, -5*r - 15 = -n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1560, 4708, 10968, 17214, 23440, 29640, 35808?\nAnswer: 41938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-9 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714, -2662, -5930, -10536, -16498, -23834, -32562, -42700?\nAnswer: -54266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.70598902 to 4 decimal places.\nAnswer: -1.706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 48. Let t be (28\/(-63))\/(m\/(-6)). Sort 5, t, -0.2.\nAnswer: -0.2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 152492*p + 1. Let l be d(2). Suppose 2*r + 0*r + 304994 = 5*m, l = 5*m - 5*r. Round m to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 977374.9mm?\nAnswer: 977374900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = h + 18 - 2, n + h = 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 8986 = -4*z + 8977, 4*z + 6 = 2*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*q = -6, 15 = -p + 3*p - 3*q. Suppose 0 = p*c + 3*k + k + 19, c = -3*k - 13. What are the prime factors of 1\/(c + (-12)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750900 is divided by 742?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8680 - -8676. Sort 0, -5\/6, -2\/5, -0.03, w.\nAnswer: w, -5\/6, -2\/5, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 257245*i**2 - 227*i - 1594. Let b be g(-7). Round b to the nearest 100000.\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 10307690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287 - 260. Let k be j\/(-70) - 8\/(-80). Which is the second smallest value? (a) k (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 307\nAnswer: -86\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 8 - ((-5 - -1) + 5). Let x = -9 + 3. Let h(p) = p**3 + 6*p**2 + p + 1. Let z be h(x). Sort -4, z, f.\nAnswer: z, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1515, 1496, 1477, 1458, 1439?\n\"Answer: -19*c + 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87 - 4722*o**2 + 489*o + 681 - 87*o + 4*o**3 + 262*o + 4870*o**2.\nAnswer: 4*(o + 2)*(o + 3)*(o + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34315*m**5*y + 11*m**5 - 135*m*y - 273*m + 13*y wrt m.\nAnswer: -686300*m**3*y + 220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -7\/1004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/4)*l**(-2\/5) assuming l is positive.\nAnswer: l**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2721, 10934, 24627, 43800, 68453?\n\"Answer: 2740*u**2 - 7*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -145*w + 42*w + 105*w. Let m(r) = -347*r**2. Give m(h(z)).\nAnswer: -1388*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -7896.\nAnswer: -11\/1974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -17, -4 in descending order.\nAnswer: 15, 0, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/7858 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 2.01. What is the closest to -0.1 in -3, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/25178380 and -13\/162.\nAnswer: 2039448780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*w + 260 = 83 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from hwgccla.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 43. Let f = l + 20. Is 3\/27 - (-9908)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/((r*(r\/r**(1\/36))\/r)\/r*r)))\/r*r*r**(-32))**(-2\/15) assuming r is positive.\nAnswer: r**(1153\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-779)\/11 + (-8)\/44. Let l = -43 - b. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 6. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(70)\/sqrt(7) + sqrt(10)) - (-3 + 3 + sqrt(13)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**2 + 975*d - 845. Determine i(121).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.14507 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 - -3.50449552432.\nAnswer: 23.50449552432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10675896 and 28?\nAnswer: 10675896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -464.\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r. Let w(m) = -442*m. Let q(x) = -51*g(x) + w(x). Let a(z) = 2*z. Determine q(a(t)).\nAnswer: 136*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2*g**2 + 0*g**2)*(15*g**3 - 16*g**3 - 27*g**3) + 0*g**4 + 0*g**4 + g**5 + (-3*g**4 + 2*g**4 - g**4)*(-g + g - g) - 4*g**5 + 0*g**5 + 3*g**5.\nAnswer: 30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {r: 6, w: 13}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246579646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, p: 1, k: 2, s: 7, m: 1, d: 2}. What is prob of picking 1 a and 1 d?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 + 6*a**2 + 14*a**2 + 5*a - 3 + 4*a**2 - 30*a**2. Suppose -6*t + t + 4*m = 5, 0 = 2*t + 3*m - 21. Let o be b(t). Solve -o*q = 2*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-6)\/2 - -1). Suppose -b + 5 = n. Find the second derivative of -2*y**5 - 3*y + 6*y**5 - n*y**5 wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265\/51 - 14\/3. Let v = z - 97\/119. Let s be (-23 - -9) + (-2822)\/(-166). Which is the biggest value? (a) 2 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -8585\nAnswer: 25755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {x: 2, d: 1, h: 3, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 8 + 4 + 4*h**3 + 2 to l*h**2 + j*h + o*h**3 + i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*c + 1224 = -302 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624684 and 3852?\nAnswer: 200523564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 9:39 PM?\nAnswer: 626","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 5, k: 5, t: 4}.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(0 + (2 - 3)). Suppose 0 = 3*b - b + 10, z*v - 4*b = 48. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 - 223*u**3\/5 + 2193*u**2\/5 + 6271*u\/5 + 770 = 0. What is u?\nAnswer: -7\/5, -1, 22, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -27. Suppose 5*q + 5850 = t*q. Calculate the common denominator of q\/(-280)*2\/3 and -51\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 8 = 4*b + 14, -9 = 5*b + y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4467 and 30.\nAnswer: 44670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 0 + 8*o**2 + 14 - 14*o + 5*o + 2. Let a be h(2). Let c be 14\/((-28)\/(-42) - 8\/a). Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6756 + 6798 = -7*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*v**3 - 6990*q - 157*v**3 + 21*v - 4 with respect to q.\nAnswer: v**3 - 6990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6619, 6633, 6657, 6697, 6759?\nAnswer: 6849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 3. Let y(a) = 3*a + 6. Let b(p) = -5*h(p) + 3*y(p). Let c be b(1). Let r(t) = -t**3 + 2*t**2 + 2*t. Let x be r(-2). Solve -c*s + x = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.84390843 and 16.96.\nAnswer: 9.11609157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 12 - 15)\/(3*2\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z + 3*a + 5, -3*a = 15. Put -3\/7, z, -2\/19, -0.5 in decreasing order.\nAnswer: -2\/19, -3\/7, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -5*k. Suppose o = -0*o + k*j + 102, 3*o + j - 267 = 0. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 + 61*v + 98. Let o be f(27). Let i = o + 482. Solve -2*l + 32 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/2 - 50*i**2.\nAnswer: -5*i**2*(i + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 47\/4 of a meter?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*v - q, 0 = 2*v + 3*q - 2*q - 5. Let w = v + 3. Suppose -2*t + t + w = 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 m when four letters picked without replacement from {z: 3, q: 2, w: 1, g: 1, m: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(2 + -1 + sqrt(17)).\nAnswer: -2*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82394 is divided by 206?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-114)\/27 - -4)*6. What is the biggest value in g, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1089 and 120372978.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 8 + (8 - (-42 + 74))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10311 - -10323. What is the greatest common divisor of x and 17004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3776*p - 3783*p - 4*i - 10, 0 = 5*p - i - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8)*1125\/(-700) + (-304)\/(-532)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -1631, -3635, -6441?\nAnswer: -10049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43181019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 68?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*h**3 + 10*h**3 + 4*h**3)*(-16 + 9 + 6) + 2 - 2*h**3 - 2.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 23*w**2 + 49*w - 138. Let p be y(26). Are p and 3161 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 + 7*v**2 - 3*v + 5. Let b(a) = -3*a**3 - 6*a**2 + 2*a - 4. What is -5*b(l) - 4*i(l)?\nAnswer: -l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -20*l + 3. Let v(k) = -k**2 - 5*k - 1. Let g be v(-5). Let b = 16 - g. Let d be 25\/4 - 1\/4. Let q(h) = 7*h - 1. Determine b*q(p) + d*w(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266027 - 265970. Suppose 0 = -4*p + 610 + 294. What is the remainder when p is divided by d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 3. Let v = z + 28.11. Let j = v - -4.89. Sort 0.1, -3, j.\nAnswer: -3, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 3961, 13240, 31283, 61012, 105349, 167216?\nAnswer: 249535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n. Let i be 1 + ((-3)\/(-4) - (-4)\/16). Let z(t) = -42*t + 5*t**2 - 8*t**i + 42*t. Determine z(p(d)).\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 19 = -2*n, -5*x + 7 + 20 = 3*n. Suppose 30 = -9*g + 3. Let i be (2 + g)*-37 + -2. What is the highest common divisor of i and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0 + -3) - 5. Let v(u) = 15*u**2 - 7*u + 1. Let z(a) = -7*a**2 + 3*a. Let r(h) = -6*v(h) - 13*z(h). Let f be r(m). Solve -f*q - 2 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -103*w - 96 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) - sqrt(8)) + -2*sqrt(2) + -2.\nAnswer: -3*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-30 - -57) + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5 - 0. Let g = 655.716 - -1.284. Let b = 661 - g. Which is bigger: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 - 37815*w**4 - 130 + 37814*w**4 + 33 + 17*w - 2558*w**5 wrt w.\nAnswer: -51160*w**3 - 12*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 747 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-12))\/(-5*49\/35).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 2*m - m**4 + 16*m**4 - 35 + 35 + (-2*m**3 - 2*m + 2*m)*(2*m - 2*m + 2*m) as u*m**3 + d*m + f*m**4 + x*m**2 + n and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a kilometer in meters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 216*p**2 + 206*p**2 - 415*p**2. Let j(g) = 4*g - 63. What is j(r(k))?\nAnswer: 28*k**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(-1*(1 + sqrt(468)) + -3*(sqrt(468) + sqrt(468)*4)))**2.\nAnswer: 3072*sqrt(13) + 1916944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 557.5 - -3436. What is m rounded to the nearest 10?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10437.86ng in kilograms?\nAnswer: 0.00000001043786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/28 + 253\/(-4). Let m be (-1)\/(-3) - (-57)\/p. Let c = 4\/5 - 33\/10. What is the nearest to 5 in m, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9330*q + 3424114. Give w(367).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3, -2*u - r + 8 - 1 = 0. Let i be (-2 + 6 + -2)*2. Suppose u*g = -i*g + 138. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.4741 years to centuries.\nAnswer: 0.094741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 64 = 8*o. Let y(b) = -b**3 - 7*b**2 + 19*b - 7. Let i be y(o). Let c = -26 - i. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5539383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 334, 332?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 5) in base 14?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 9*h**2 + 7*h + 10. Let a be o(8). Suppose -a*j - 8 + 16 = 0. Let i = -2 + 4. Solve -i = j*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -37 + (-1 - 4 - 2) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -11744117?\nAnswer: 11744112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 1:34 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 12:38 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 4*x + 116. Let t be n(13). Let o(w) = -2*w**3 - 4*w**2 - 6*w + 4. Let l be o(4). What is the units digit of (-1)\/(l\/208 - t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-390) - 30\/(-65)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-56)\/4 + 9 - (-3 + -8))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -622?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose 3*w = -0 + 6, g*o + 3*w + 18 = 0. Let i = 6 + o. What is the closest to 2\/3 in 0.1, i, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*(b\/(b*b*b*b*b**3*b))\/b)\/(b**(-1))**(-1\/7)*(b*b**(-2\/15))\/b**2*b**(-1\/7)\/(b*(b*b**1)\/b) assuming b is positive.\nAnswer: b**(-1934\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*v - 8 = 3*h - 30, -v = -h - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -167513.97 to the nearest one thousand.\nAnswer: -168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 32 = 3*r, 2*x - r + 2 = 8. Find the second derivative of 69*p**x - p - 8*p - 77*p**5 wrt p.\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17401 or 17405?\nAnswer: 17405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1234619*w. Let b(j) = j. Determine b(p(d)).\nAnswer: -1234619*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469 + 469.13. Let c = -1.13 + g. What is the nearest to c in -2\/7, -3\/10, 0.3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88750, -5, 5\/2, 1\/8, -0.6, 1 in descending order.\nAnswer: 5\/2, 1, 1\/8, -0.6, -5, -88750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5*c - c - 3*c)*(-25 - 15 - 1) + c + 2*c - 2*c)*(25*c + 11*c + 7*c) to the form f*c + t + v*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 9*v - 1. Let n = 108 - 40. Let a = n + 52. Let s = a - 116. Give z(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -12*c + 28. Let t be (c + 44\/6)\/(1\/18). Is -8 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89.4 - -93.4. Let u = -0.2 - -0.1. Sort -0.4, u, m, 0.2 in decreasing order.\nAnswer: m, 0.2, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32154*p**3 + 216079*p**2?\nAnswer: 192924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9554*b - 4815*b - 4791*b + 129 in the form u + s*b and give u.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 63 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39649*l**3 + l**2 + 2*l - 74988.\nAnswer: -118947*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 11) in base 10?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = 3*q + 167, 3*x + 245 = q. Let m = 356221.1 + -356221. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a - 31*a**2 + 7\/80*a**5 - 1\/280*a**7 + 15\/32*a**4 - 3\/160*a**6 + 0 - 9\/4*a**3. Let b(s) = 0. What is s?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l**2 + 16*l - 21. Let k(i) = -36*i**2 - 48*i + 62. Let v(b) = 5*k(b) + 14*s(b). Factor v(g).\nAnswer: -4*(g + 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5858 is divided by 1951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.27 + 0.14. Let h = 5.13 + d. Let q = 10 - 9.9. Which is the nearest to q? (a) 0.5 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.38 - 0.53. What is the third smallest value in h, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2208 - 2208 - 19*s - 36*s as h + p*s and give p.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(8\/5)\/s)*s**(-19) assuming s is positive.\nAnswer: s**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 603, 2386, 5345, 9474, 14767, 21218?\n\"Answer: -j**3 + 594*j**2 + 8*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from ggzzzvvgggzgggggcgc?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -27. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*f**5 - 8*f**4\/5 = 0. What is f?\nAnswer: 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.686 rounded to one dp?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24421 - -1?\nAnswer: 24422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 271775615 to the nearest 10000.\nAnswer: 271780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q - 48. Let x be (-14)\/6 - (-4)\/q. Let t be (-6)\/(-2) - 3 - x. Solve 0 = -2*k - t*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-44)*(-7)\/(49\/(-77)). Solve -b*k = 2*r + 12, -5*k + 1 = 3*r + 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 19. Calculate the smallest common multiple of 11 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((27\/6)\/(-1))\/(-6)*4. Suppose q = -u + 99, u + m*q - q = 102. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8*f\/f**(-2\/5))\/(((f**(1\/3)\/f*f*f*f)\/f)\/f)**31 assuming f is positive.\nAnswer: f**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, 1100.\nAnswer: -5, -1, 1, 1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/5, -3.6, 5, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 5. Let r(v) = -3*v + 5 - v + 3*v + 4*v. Let f(h) = -5*a(h) + 6*r(h). Give f(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - ((10 - (12 + (5 - -10))) + 24).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-26) - (-18)\/117. Let g(n) = 0*n**a + 3*n**2 + 5*n - 2*n**2 - 6*n + 5. Let t(p) = p - 2. Calculate 2*g(y) + 5*t(y).\nAnswer: 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-1\/5)))\/d**(2\/9)*(d\/d**(-2\/5))**(-1\/2)*(d*d**(2\/7)*d*d\/((d*d\/(d**(-4\/5)\/d))\/d)*d*d)**(-12\/5) assuming d is positive.\nAnswer: d**(-21067\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 12*z**2 + 3*z + 8. Determine x(-10).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 24*d**2 + 69*d + 121. Give m(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80068302 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 63*f + 4819. What are the prime factors of g(-45)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 - -0.1. Let l = -1.92 + p. Which is greater: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.036, -5, 6\/7, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (408\/10)\/17*((-852)\/(-3510) - 2\/10).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jssssssjsjsjjjjjjjss. Give prob of picking 3 j.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1834*f. Let l(n) = -503*n + 244*n + 258*n. Give u(l(v)).\nAnswer: -1834*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*j - 11*q + 287, -20*q + 15*q + 11 = 14*j - 12*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*i - 3 = 0, 12 = 4*g - 0*i - i. Put g, 15, -2 in ascending order.\nAnswer: -2, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*h - 130, 4*h - 122 = 5*d + 8. Let k = 32 + d. What is the third derivative of 13*o**2 + 16*o**k - 17*o**4 + 3*o**2 - 12*o**2 wrt o?\nAnswer: -408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 15*n - 4. What is i(2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94*b*w**3 - 3842*b*w + 2*w**3 + 1932274 wrt b.\nAnswer: 94*w**3 - 3842*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 545258529 divided by 37\nAnswer: 14736717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t + 88*t - 1200*t.\nAnswer: -1084*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7890 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (70\/42)\/(20\/84)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1197471692 to the nearest integer?\nAnswer: 34605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 2, m: 2, g: 1}. What is prob of picking 1 g and 2 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.58 and 2139430547?\nAnswer: 2139430548.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1691626715 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 32351956.8 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**4\/3 - 3*s**2\/2 - 4*s + 1. Let l(g) be the first derivative of k(g). What is the first derivative of l(u) wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**8\/20160 - 91*g**5\/60 + 69*g**2. Let x(h) be the third derivative of r(h). Let b(j) = -2*j + 2*j - j - 6*j. Give x(b(s)).\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2019655 by -3.\nAnswer: -2019655\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 155 = -3*i, i - 475 = 45*o - 1365 - 324 - 634 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 3882*l - 66558. Give j(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12198 is divided by 1666.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73914 - 10057. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91, 180, 261, 334?\n\"Answer: -4*b**2 + 101*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825230.\nAnswer: 2, 5, 7, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 28 - 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -11\/2 (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-6179288\nAnswer: 123585.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -n + 14. Let z(r) = 0*r + 3*r**2 - 8*r + 5*r**2. Let d(v) = -v**2. Let y(k) = n*z(k) + 4*d(k). What is the second derivative of y(h) wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-8)*n**(-3\/2)\/n)\/((n\/n**(-4))\/(n*n**(-3\/7))))\/(((n*n**0*n)\/n**(2\/15))\/((n**(-1\/13)*n)\/(n**(-1\/7)\/n))) assuming n is positive.\nAnswer: n**(6199\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2*j - 18. What are the prime factors of o(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -219, -436, -653?\n\"Answer: -217*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10132 - -211?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 15763.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -92*p - 5422. Give y(-59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/92784 or 0?\nAnswer: 31\/92784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4824 and 3216.\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164087464?\nAnswer: 2, 31, 541, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23706 - -23710. Solve -379 = d*r - 391 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -928757 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 230110937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42723 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147 + a?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/21, 127, 1\/10 in increasing order.\nAnswer: -0.4, -2\/21, 1\/10, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119546326.\nAnswer: 2, 59773163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31110 less than 749777?\nAnswer: 718667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + -3 - (13 + -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 19, -1, -124, -3, -24 in increasing order.\nAnswer: -124, -24, -3, -1, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 0 + -215 + 224\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 29. Is w bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178224359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -9) + 15 + -10 + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(200) + (sqrt(200) - (sqrt(200) - (-1*sqrt(200) - sqrt(200))))*6 + sqrt(200) + (-1*sqrt(200)*-2 - sqrt(200)))\/((sqrt(100)*-1)\/sqrt(10)*5*4).\nAnswer: -2 + 9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sflkn. Give prob of picking 1 k and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1181333178.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.885 - -1.189. Let u = h + -0.074. Let x be (-8)\/20 - 13\/(-20). Sort u, x, 5.\nAnswer: x, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l - 1. Determine f(-34).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33361721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/260 and -64\/104185.\nAnswer: 5417620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*l - 19. Let i(f) = -f**3 + 3*f**2 + 6*f - 6. Let h be i(l). Let g(w) = 2*w - 2. Determine g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*b - 10 - 53 = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 + 31*z - 16. What is a(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 4, -5, 2, 538, -4 in decreasing order.\nAnswer: 538, 4, 2, -1.9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37781, 37779, 37777, 37775?\n\"Answer: -2*g + 37783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1178\/5 - 15\/25. Suppose -5*a - z + 0*z + k = 0, -235 = -5*a + z. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -599*k**3 - 2*k**2 - k + 2. Suppose 0 = -3*z - 13 + 4. Let r = z + 5. Let d be q(r). What is d rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*q - 289*q + 156*q + 34034 for q.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 35 + 103 = 0. Let j = -9 + x. Let c be ((-1)\/(-2) + 0)*j. Solve 0 = -0*p + c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxjxrcfrxxxcvfxvxf. Give prob of sequence jc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by (-392)\/(-22) - 54\/(-297)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.971 and 21.6.\nAnswer: 517.7736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95027*c*d - 6*c*t + d*t + 12728997*d wrt c.\nAnswer: -95027*d - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651950243.\nAnswer: 7, 31, 429197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*v + b, b = v - 3*b + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -625\/12 in 4, 16\/7, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187\/15 - 2\/15. Find the common denominator of o and 109\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - 77. Suppose -s = w - 3*w. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(28)\/sqrt(7))*4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/18*2\/(-4). Let v = 67 - 66. Which is the closest to v? (a) -0.1 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -507 + 522 - (4 - 5 - (44 + 1)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-60) - 4\/(-195)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 - 3*f + 1. Let m be p(5). Let b be (-8)\/5*(7 - 2). Does 7 divide (-228)\/m - b\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5523, 5634, 5781, 5952, 6135?\nAnswer: 6318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 112.4. Let w = o - -13.4. Which is the smallest value? (a) 20 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2)*-147 + (-5 - -2). Let i = 1817\/10 + -892\/5. Find the common denominator of (3*52\/u)\/(56\/105) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c + c)*(-2460*c**2 + 17568*c**2 + 17702*c**2 + 3832*c**2 + 878*c**2).\nAnswer: 112560*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001522951 to 5 decimal places.\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v. Let q(t) be the second derivative of -t**4\/6 + 5*t. Give m(q(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 2*k - 212. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 5 (c) -3\/5 (d) 9.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*v + 31453 - 29395 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by 20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f - 135. Let d be z(-8). Let s = -6 - -8. Calculate the highest common divisor of d and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 - 84*q**3 + 420*q**2 + 1152*q = 0. What is q?\nAnswer: -32, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/636 and 139\/113208.\nAnswer: 113208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947650 is divided by 22038?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551 = 15*l - 491 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-46)\/(-92))\/((2\/16)\/1). Suppose -2*f - 188 = -l*k - 6*f, -2*f - 161 = -3*k. What is the greatest common divisor of k and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 73. Suppose -21 - 3 = -l*k. Calculate the remainder when 13 is divided by -3 + 3 + k + -3 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Let o = d - -10. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - 97. Let b be (-2)\/4 + d\/(-12). Solve 2*r - b = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1850524 and 12844.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12229 + 3*o + 4046 + 4125 + 4058.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {x: 2, c: 3, f: 2, m: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 215901 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/28*2*((-65)\/(-115) + -3) - -6.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 - 69. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, h: 4, p: 6}. What is prob of picking 2 h?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 1. Let j be (12\/(-24))\/(h\/(-4)). What is the biggest value in j, -5, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u - 4614 = -k - 65*u, 0 = -k + 4*u + 4646. Calculate the greatest common factor of k and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 62551860*h**2 - 195636696921105*h - 391273644049690.\nAnswer: -5*(h - 6255187)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310098762?\nAnswer: 2, 3, 47, 366547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50285 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50504 (base 6) to base 15.\nAnswer: -1e94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7205477 millennia in centuries?\nAnswer: 7.205477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*i**3 + 276\/5*i + 0 + 55*i**2.\nAnswer: -i*(i - 276)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 394. Determine v(77).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33232332311 - 3?\nAnswer: 33232332302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.59 - 0.01. Let y = r + 0.1. What is the second biggest value in y, -3\/4, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 190*x - 114*x + 776*x + (5*x + 3*x - 5*x)*(3 - 5 + 3)*(-2 + 1 - 1).\nAnswer: 846*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1971719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89.4 - -124. What is c rounded to zero dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:05 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -25. Let i be b + -4 + 0\/2. Suppose 3*o = i*o - 12. Solve 0 = -5*l - o*v - 5, -3*l - 3*v - 1 = -v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153)*-1 - -6*(sqrt(153)*6 - sqrt(153) - sqrt(153)))\/(((1*sqrt(108) + sqrt(108))*6)\/(2*sqrt(432))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f - 13. Calculate t(9).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 414 = 2*c, z - 2*c - 201 = 0. Let h = z + -92. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1.35\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 181612551 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: What is prob of picking 1 i and 1 b when two letters picked without replacement from hhwwbbbnwnibxw?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 41387650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11496 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-8)*(36\/(-24))\/(3\/(-4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -7606, -19, -1\/6, 4, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000064593162 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - x + 3*y = -3, 3*x - y = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7 - h + 2 + 0*h + 2*h. Let c be f(11). Suppose -27997 = 4*b + 3*r, -c*r + 14004 = -2*b - 2*r. Round b to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.1. Which is the closest to p? (a) 0.1 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 5*p + 5*p + (p**5 + 2*p**5 - 2*p**5)*(0 - 1 + 0) + 75*p**2 - 244*p + 3771*p**5 - 3773*p**5 - 76*p**2.\nAnswer: -4*p**5 - p**2 - 244*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)*(-6 - -1). Let p(x) = -5*x - 64. Let l be p(-12). Which is the biggest value? (a) -1 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -31322001100222?\nAnswer: -31322001100213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 1 + 1. Suppose 3*p = 29 - 8. Let y(d) = p - 7 + 2*d + d. Give f(y(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 507793*w**3 - 1742*w**2 - 3484*w. Let o(x) = -874*x**3 + 3*x**2 + 6*x. Give -3*n(f) - 1742*o(f).\nAnswer: -871*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*v**4 + 369*v**3 + 430*v**2 - 256917827*v?\nAnswer: -1524*v**2 + 2214*v + 860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkwp when four letters picked without replacement from kpkkkkpwkkwwkkwp.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - 5*sqrt(100))\/((-3*sqrt(35))\/sqrt(7)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1539925 + 1539925 + 47284*h.\nAnswer: 47284*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (107 + -32 + -111)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18 and -19\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*-1 - 19\/(418\/88). Put 0.33, 1, h, 5\/4, 0 in decreasing order.\nAnswer: 5\/4, 1, 0.33, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168035619 + 1.816708.\nAnswer: -168035617.183292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4476 divided by 6?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021021212211 + 2?\nAnswer: -1021021212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11023523 (base 7) to base 15\nAnswer: 13aa25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021100 (base 3) in base 13?\nAnswer: -9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0663214 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 123 - 71. Is 52 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 29, 57, 93?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 497174444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1615 + -1034. Does 83 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183357 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phu when three letters picked without replacement from {u: 3, t: 4, a: 1, y: 4, h: 1, p: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + 3)**2 + 5.\nAnswer: 8*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x - 43*x + 932*x - 5915 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*m + 0 - 6\/11*m**3 - 12*m**2 = 0. Calculate m.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.5400010318 - 97.54. Round j to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 158368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 - 3*r + 2 + 18*r**2 + r)*(3*r**3 - 3*r**3 + 2*r**3).\nAnswer: 24*r**5 - 4*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 + 2*u + 313. Give i(0).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/24)\/(21\/6006) and 151\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 3 (c) 6 (d) -1319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -1 + 21. Suppose 7*j = q*j. Let o(l) = 5*l + j*l - 8*l - l**2 + l**3 + 3. Calculate o(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 5, -27, -2, -60, 2 in increasing order.\nAnswer: -60, -27, -2, 0, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-1332)*2*-9*21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -2\/5 (c) 0.02 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 17. Let i(a) = 2*a. What is l(i(u))?\nAnswer: -8*u**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c01b + -2?\nAnswer: c019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.51 + -9.50998808. Round d to seven decimal places.\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*h*v + 2*c*h*v + 27*c*v + 3*h*v - 93*h + 2 with respect to c.\nAnswer: 6*c**2*h*v + 2*h*v + 27*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530752, -530727, -530702, -530677, -530652?\nAnswer: -530627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 11*j. Let y(h) = 4*h**2 + 12*h. Calculate -7*q(a) - 6*y(a).\nAnswer: -3*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 64863865 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354 - 199. Let w = -151 + i. Let a = 1 + 1. What is the nearest to 0 in 2\/13, a, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/140 and -81\/4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15485064.6253+0.01\nAnswer: -15485064.6153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.0183mm in meters?\nAnswer: 0.0330183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 - 107) + (0 - -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94849089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 105514300 to the nearest 100000.\nAnswer: 105500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6130 is divided by 500?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z + 75 = 90*z. Solve -5*r + 5 = 5*b + 30, -2*b - z*r - 11 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*i**2 + 273*i**2 + 191*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45003 - -542. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:27 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uini when four letters picked without replacement from {n: 4, g: 3, u: 4, i: 2, b: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + -2 - (0 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 42*b**2 - 6*b - 2. Let p be k(6). Let w = p - 2887\/2. What is the common denominator of w and -93\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42409087033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*q**3 + g**3*q**2*x**2 + g**3 + 3*g**2*q**2*x**3 + 9*g*q**3*x**3 + 17*g*q*x**3 + 2*q**3*x**3 wrt q?\nAnswer: -12*g**3 + 54*g*x**3 + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 971.9 plus -0.3?\nAnswer: 971.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suhfuvvsc. Give prob of picking 1 h and 1 u.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f - 12. Suppose 0 = 5*q + 3*o - 12, -q - 4*q + f*o - 12 = 0. Let j(d) = q*d**2 - d**2 - d**2. Let g(n) = -2*n. Determine g(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100908 and 375072.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, p: 1, v: 3, m: 6}. What is prob of sequence vpvv?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6035510.\nAnswer: 2, 5, 13, 17, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (643 - 643 - 8*v)*(0*v + 0*v + 5*v**2)*(-3 + 1 + 4)*(2*v + 2*v - v).\nAnswer: -240*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3609 + 11931 = 4*s. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -127*w**2 + 6*w - 5. Calculate k(1).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**33\/y*y)\/y)\/(y\/(y*(y**16*y)\/y))*((y\/(y**(10\/11)\/y*y*y)*y)\/y)\/((y*y**(-43))\/y))**(2\/23) assuming y is positive.\nAnswer: y**(1982\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/3))\/(g**5*g))\/(g**(6\/11)\/g*g**(-1)))**(1\/48) assuming g is positive.\nAnswer: g**(-8\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -9 - (-73 + 35 - -42)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 2*o + 2*o. Suppose -f - 2*s = -o, 4*f - s = -0*s + 79. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 + 112*y - 39. Calculate w(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.198 - -6.598. Let m = 6.3 - a. What is the smallest value in 0.16, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1132734.57478 + 12.\nAnswer: -1132722.57478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33514, 43332, 53150?\n\"Answer: 9818*u + 23696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66007 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 25 = 3*s, -d = s + 10 - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*o, 0 = 3*n - 8*n - 3*o + 37. Calculate the remainder when 19 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -35*j + 914. Determine y(23).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/14 + (-51)\/(-21) + -6. Let p(r) = -r**3 - 2*r**2 + r + 2. Let z be p(-3). What is the remainder when 11 is divided by -6*x\/z*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6372.604 days in weeks?\nAnswer: 910.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 5659*m**3 + 6*m**2.\nAnswer: 5659*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50049.7954 + 50055. Let f = 5.2 - p. Round f to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11*(2 - (-3)\/(-3)). What is the highest common factor of n and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-72)*-4*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 1666?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzrrhrzhhhhhzrhh. What is prob of sequence hzhr?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 8) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 110101231?\nAnswer: -110101233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -p, 3*p = 4*x - 2*x - 25. Which is the nearest to 0.2? (a) x (b) -1 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c - 1092. Let b = c - 82. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7cc (base 15) to base 6.\nAnswer: 12103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b. Let q be (-152)\/(-114) + 3\/((-18)\/68). Let k(s) = 6*s. Determine q*r(h) + 3*k(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.7095 - -0.0605. Let r = -5.59 + c. What is r rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + b + 9. Let f(r) = 3 - r**2 + 20*r + 1 - 20*r. Determine -5*f(x) + 2*y(x).\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0314, -1, 4 in decreasing order.\nAnswer: 4, -0.0314, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**6\/60 + k**5\/80 - k**4\/48 - 5*k. Factor m(n).\nAnswer: n**2*(n + 1)*(2*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 73, 180, 331, 526, 765?\n\"Answer: 22*z**2 - 3*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122598783 to the nearest integer?\nAnswer: 11072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85\/66 - 1\/22. Let s be -2*(-3)\/(-2) - 1. Let l = 1.1 + -1. Which is the nearest to l? (a) z (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (31 - -25) - (123 + -106)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 322 (base 7) to base 9\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kswssswkwkks. What is prob of picking 3 w and 1 s?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 846791273 to the power of 1\/3, to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*y = 42, -3*y = -2*u - 8*y + 39. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 12*h**2 - 14*h + 16. Let k be d(13). Solve -k*l = -0 + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 8*q**2 + 7*q + 3. Let t be g(-7). Solve -2*v**2 - 3*v - 2*v**2 + 2 - 4 - v**t - 2*v = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:53 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/(40\/8))\/(2\/(-2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*w + 53 = 0, -142*w + 141*w = 2*v - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.24 - 5.18. Suppose 4*c + 3*y = -4, 6*y - 32 = 4*c + 2*y. What is the smallest value in i, -4\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0*d + d + 3 + 0*d. Let y be s(-3). Suppose 4*n - 3*b = -5*b, -4*b = 2*n - 6. Which is bigger: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a minute in seconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1687233?\nAnswer: 3, 17, 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbgsssqs. Give prob of sequence gbs.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 3*z + 4*v, -2*z + 88*v + 59 = 91*v. Let p(f) = f**3 - 22*f**2 + f - 7. Determine p(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60686 + 7*c - 181959 + 60639 + 0*c + 60634.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -483, -1352, -2801, -4830, -7439, -10628?\n\"Answer: -290*w**2 + w - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 889.25 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10068 - -2865. List the prime factors of k.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -53, 4, 3 in descending order.\nAnswer: 5, 4, 3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r + 1. Suppose 16 = 11*s + 5*s. Let i(x) = 55*x**3 + 11*x**2 + 5*x - 3. Let f(d) = s*i(d) + 3*w(d). Find the third derivative of f(b) wrt b.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20210 + 20185. What is the nearest to 75 in t, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 10 + w**2 - 2 - 10 - 2501*w**3. Let n be l(2). What is n rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2473 - -2475. Let c(q) be the second derivative of -8\/17*q**u - 1\/102*q**4 + 0 - 4*q + 3\/17*q**3. What is t in c(t) = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpsd when four letters picked without replacement from pddsppsdp.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 20.9397 hours?\nAnswer: 75382920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*f + 340, 0*o - 60 = -o - 3*f. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 8c88?\nAnswer: 8ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z + 28. Let m be f(6). Let h = 3 - 7. Let s be (1 - 2)\/(1\/h). Sort s, m, 0 in ascending order.\nAnswer: m, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 1436*q**3 + 171680*q**2 - 6835648*q.\nAnswer: 4*q*(q - 127)*(q - 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 252, 1, -182, 27 in descending order.\nAnswer: 252, 27, 4, 1, -1, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 4 = -4*f, -3*f = -2*s - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**7\/70 + z**6\/45 + z**5\/10 - z**4\/3 - z**3\/3 + 3*z. Let f(p) be the second derivative of t(p). Factor f(m).\nAnswer: -4*(m - 1)*(m + 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1539) - ((sqrt(1539) + -1)*-2 + sqrt(1539))) + (sqrt(57)\/sqrt(3) + -4 + sqrt(19))*-2.\nAnswer: 6 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24758 in -0.03, -5, 1\/6, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729703 is divided by 1037?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1301130 - 1113441?\nAnswer: -2420121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 909*t**3 - 5*t**2 + 11*t - 89. Let p(r) = -r**2 + 2*r + 2. Let a(d) = n(d) - 5*p(d). Find the second derivative of a(j) wrt j.\nAnswer: 5454*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-200)*4*520\/(-80)*-5*1.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -61*n. Let p(o) = -6*o**2 - 175*o - 27. Let i be p(-29). Let f(x) = 10*x**2 - 17*x**2 + 5*x**i. Determine r(f(y)).\nAnswer: 122*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -782430897 divided by -3\nAnswer: 260810299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7575\/(-22725)*(0 - 3)\/((-1)\/5 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (4 - -8 - (-1 - -12) - (4 + -3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28888?\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036*f**2 - 3127*f**2 - 2*f + 2*f.\nAnswer: -2091*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458 + 1119. Let j = 1620 - k. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5216129?\nAnswer: 5216129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/159, 1\/14, -234, 0?\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 38 - 29. Let o = 12092\/321 + -36\/107. Let f = -38 + o. Which is the nearest to f? (a) z (b) 0.5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618075.\nAnswer: 3, 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 78.43 - 0.4\nAnswer: 78.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4631720137 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -5. Suppose 3*y + 0*y = x. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.176 times 4?\nAnswer: 0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -296, -259, -220?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -2 - 46. Let q be 30\/(-45) + (3910\/l - 0). Suppose 5 = -x, -q = -w - 3*x + 311. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*u**2 + 3 - 58*u**2 - 3 - 17*u**2 - 3*u.\nAnswer: -6*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32311848?\nAnswer: 2, 3, 127, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*g + 2, 1542*g - 1541*g - 4 = 3*i. Let s(p) = 89*p. Let j be s(-2). What is the remainder when 107 is divided by (i\/(-2))\/(-4 + j\/(-44))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -72 (b) 0 (c) -3.73 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 4*c**2 - 14*c + 8. Let z be q(-6). Let s be 4\/z*0 - (34 + -1). Let i = s + 36. What is the least common multiple of 2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 5*u**2 + 5*u - 4. Let r(n) = -5*n**3 + n**2 + 2*n + 1. What is the remainder when r(-2) is divided by m(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Solve 2*m - l = -3, -5*m + 4*l - 5*l - c = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/120 + s**5\/20 - s**4\/24 - s**3\/2 + 63*s**2. Factor t(j).\nAnswer: (j - 1)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(400)\/sqrt(40))\/(sqrt(128) - (sqrt(128) - 2*sqrt(128))*-4))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(20))*-5 + (((sqrt(160) - (sqrt(160) - sqrt(160)*-1))\/sqrt(8))\/sqrt(4))**2.\nAnswer: -10*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 - 5*p + 4. Let m be t(5). Suppose -4 = -2*v + m*v. What is the units digit of -6*v\/(-8)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405955188 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 10*o + 1615. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -317.9 and -9581?\nAnswer: 9263.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-7)*(-6)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 37*d**2 - 8*d - 1142. Let a be s(38). Which is greater: -67\/53 or a?\nAnswer: -67\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurhhuurvrvuururruu. Give prob of sequence uuvr.\nAnswer: 49\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 22*m + 260. Let q be t(-12). Let w be q - (3 + -8 - (-3 + 1)). Let k(h) be the third derivative of -h**6\/24 + h**5\/60 - h**3\/6 + h**2. Give k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2. Let l(o) = o**2 + 1. Let d(z) = 10*z**2 + 11. Let x(k) = -4*d(k) + 44*l(k). Calculate s(x(j)).\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 19.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 47, 0.2 in descending order.\nAnswer: 47, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1277 + f - 677 - 648 + f**2 - f. Let x(b) = -10*b**2 + 2*b. Calculate x(r(q)).\nAnswer: -10*q**4 + 962*q**2 - 23136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4649234, -9298483, -13947736, -18596993, -23246254, -27895519, -32544788?\n\"Answer: -2*t**2 - 4649243*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -107, -221, -379?\n\"Answer: -22*k**2 - 4*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 1244, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543238853.\nAnswer: 11987, 45319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1607 - -3155\/2. What is the common denominator of x and (-5)\/((-165)\/234) - 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 - 98152*n**2\/7 - 1203932378*n\/7 + 7227128172\/7.\nAnswer: -2*(n - 6)*(n + 24541)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22457 + 22456.5027. Round j to 3 dps.\nAnswer: -0.497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -102093763\nAnswer: -5\/102093763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2\/4 + 185220*z + 6861289680 = 0.\nAnswer: -74088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let q be p(4). Let i = 81 + -225. Let t = i - -145. Put t, -2, q in increasing order.\nAnswer: q, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-315)*(-2)\/8*-6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 71, -11 in descending order.\nAnswer: 71, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80294*p + 80299*p - 240895*p + 2 + 80301*p.\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12796.\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -7 = -f - k - 2, 0 = -r*k. Put f, -2, 1\/6 in ascending order.\nAnswer: -2, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-2 + z + 2 + (-3 - 2 + 22)*(-4*z + 6 - 6)).\nAnswer: 201*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(6) - sqrt(24))\/sqrt(12) - sqrt(2))*-5.\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -385794 divided by -192897\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167903066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 417?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 4. Suppose d - 117 = 5*j, 2*d - 33 = j + 5*d. Let q = 15 + j. Let w(g) = -3 + 107*g - 112*g + 8 - 21. Give q*z(a) + 2*w(a).\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 10, -3*k - 10 = f - 2. Let r be (182 + 2)\/(k\/20). What is r rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 27. Let n(o) = -o - 17. Let t be n(-16). Which is the smallest value? (a) 5 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, -6\/5, 5, -3, 0.051?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1815\/188 + -28\/47. Let w be (-7745)\/(-6)*(-15)\/(-450). Let r = 478\/9 - w. Find the common denominator of c and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2630 + -2592 - (65 + -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c4384 (base 14) to base 9.\nAnswer: 16045862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6032606 and 0.2.\nAnswer: 6032606.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -553530 and -42.\nAnswer: 23248260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Suppose r + 5*u = -7, 4*r + 2*u + 0*u = -10. Let w(p) = p - 2. Let g(t) = 6*t - 11. Let s(h) = r*g(h) + 11*w(h). Calculate s(j(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7449 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 - 611*y**2 + 515*y**2 to l + c*y + m*y**2 and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 5781*c - 368478.\nAnswer: -3*(c - 1861)*(c - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4451.96 micrograms?\nAnswer: 0.00445196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23018 at most 23272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = -2*g - g, -5*g = -2*w + 8. Suppose 5*n - 29 = 16. Calculate the lowest common multiple of w and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + -4.5. Suppose 96 = -44*u - 388. Sort u, 0.4, z in decreasing order.\nAnswer: 0.4, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721595 equal to 721592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q + 25. Let a(t) = 10*t - 5. Let o be a(3). Let y be ((-18)\/(-5))\/(5\/o). What is the highest common divisor of y and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 515 + 12?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 23. Suppose -8*n**p + 2*n**3 - 16 + n**2 + 2*n**2 - 7*n**2 + 24*n = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212696 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -685a - -4?\nAnswer: -6856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 868679087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12346 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9477.552ml in litres?\nAnswer: 9.477552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {x: 16, d: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17*m - 4. Let r(q) be the third derivative of 3*q**4\/8 - q**3\/3 + 108*q**2 + 4*q - 6. Give 11*r(x) - 6*t(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -5*o**4\/4 + 10*o**3\/3 + 7*o**2\/2 + 5*o - 32. Is m(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -252.09 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 26. Suppose 40*f = 38*f. Calculate n(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.7 + -67. Let h(n) = -n. Let d be h(4). Which is the closest to 0.1? (a) k (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q**4 - 28*q**3 - 124*q**2 + 144 = 0. Calculate q.\nAnswer: -2, -3\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a factor of 20798073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -113 divided by -113\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 3, q: 2, o: 3, p: 2, j: 3}. Give prob of picking 1 p and 1 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-732)\/1098)\/((-2)\/48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 12. What is the units digit of t - 6\/((-24)\/140)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 3. Suppose 3*w = -5*g + 5*w + 46, 5*w - 60 = -5*g. Suppose v + 33 = 4*x - 0*x, x - 2*v - g = 0. Let l be p(x). Solve 2*f = l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 - (-5)\/(-2)*-2. Let d(l) be the second derivative of -2*l + 0 + 0*l**2 - 1\/6*l**3 - 1\/12*l**w. Factor d(k).\nAnswer: -k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 7*k**2 + 6*k + 5. Let w be x(-6). Suppose -5*r - 10 = -w*v, r - 6 = -3. Solve c - 5*z - 40 = -4*c, c = v*z + 28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1798888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -47074?\nAnswer: -47072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2280 - 835. What are the prime factors of -5 + -2 + q + 1 + -5?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 m when four letters picked without replacement from {n: 7, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 6*v - 18, 5*b + 1203*v - 40 = 1199*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -228218746*z - 95504. Let k(u) = -23896*u - 10. Calculate 5*d(t) - 47752*k(t).\nAnswer: -11938*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + q**4 + 2*q**4)*(1 + 0 + 1) + (q**2 + 2*q**3 - q**2)*(13*q + q - q) - 4*q**4 - 2*q**4 + 3*q**4 + 16*q**4 - 22*q**4 + 18*q**4.\nAnswer: 37*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -706793760 rounded to the nearest one hundred thousand?\nAnswer: -706800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -25*q + 318. Let x be i(13). Let w(l) = -98*l - 378. Is 12 a factor of w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 5*b + 6. Let u be y(3). Suppose a - 1 = 0, 4*a - u = -s + a. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 340\/193?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1612 or 7093?\nAnswer: 7093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0 - 3. Suppose 4*k = k + b. Solve 21 - k = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kttttmtktkktkp. What is prob of sequence ttmt?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1 (c) 1\/2 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - r = 7, q - 4*r = 7. Suppose q*d = v - 12, 2*v + d = -d. Suppose 4*n = v*n + 6. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from unhhnnununnhu?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2 - 3 + 2. Let d(k) be the first derivative of k**5\/120 - k**4\/8 + 4*k**3\/3 + 3. Let f(c) be the third derivative of d(c). Give f(n) + 4*l(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25118741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92143 = 5*m - 3*h, 45*m + 5*h + 73730 = 49*m. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28729 - -201629\/7. Which is bigger: 76 or m?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Suppose x*s - 18 = -3*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -374*h**3*o*x + 6*h**3 - 83*h*o*x - 262*x - 3 wrt o?\nAnswer: -374*h**3*x - 83*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5531 - 5530.9506. What is the nearest to 1 in -1\/10, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5206 * 4\nAnswer: -20824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.047 + 0.447. Let n = 80 + -116. Let f = 36.3 + n. What is the second biggest value in u, 0.2, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 4*i**2 - 3*i**3 - 4*i + 2*i**3. Let k be x(2). What are the prime factors of (3 + -14)*(k + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, z: 10}. What is prob of picking 1 g and 2 z?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/5 - 9114*l\/5 + 3604012 = 0. Calculate l.\nAnswer: -6047, 1490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + m + 3120 = 3*m. Calculate the highest common factor of m and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 9*t + 2. Determine h(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -5*l**4\/12 - 115*l**3\/2 - 402*l. Factor k(c).\nAnswer: -5*c*(c + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -100*f - 134. List the prime factors of g(-26).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in centimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -52*w**3 + 2*w**2 + 5. Suppose -4*n + 3*l - 5 = -9*n, -20 = 5*n - 2*l. Let f(t) = 26*t**3 - t**2 - 2. Determine n*k(s) - 5*f(s).\nAnswer: -26*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - 2 - -3 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4410 is divided by 2058.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*v - 109. Let y = v + 96. Let w = 81\/2 - y. Sort w, 5, 0.3 in descending order.\nAnswer: 5, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-16)\/5)*-5. Let i = s - 1. Let g(d) = -d - 3. Give g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(90)*3 - sqrt(90))*1*-6)\/(sqrt(288) + -1*sqrt(288) + sqrt(2) - (sqrt(128) - (sqrt(128) + sqrt(128)*-1))))**2.\nAnswer: 19440\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/523 + -467\/14644. Which is greater: -1\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((5 - -2) + -8 + 4)) + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17545570*b**2 + 17058216*b wrt b?\nAnswer: 35091140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/3 + 8020*n**4\/9 - 1074320*n**3\/9 + 39875900*n**2\/9 - 134870890*n\/9 + 32020432\/3 = 0.\nAnswer: 1, 8\/3, 71, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1161 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3517 != -3360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126116*m**5 - 242*m**4 - 61994778*m**2 wrt m?\nAnswer: 7566960*m**2 - 5808*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.210234 tonnes?\nAnswer: 9210.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 8*p + 3. Suppose -15 = -3*j, -4*k + 26 + 167 = j. Suppose 4*l - k = -67. Determine n(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.44 - 3955\nAnswer: -3958.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - -8*957\/(-1512). Which is smaller: -6 or v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6*b + 184. Solve 5*m + 4*r - 5 = -b, -2*m = 2*r + 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/153)\/(3441\/(-1581)) - (992\/(-814) + 1).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119486510 to the nearest integer?\nAnswer: 10931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2915 and 1815.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29e (base 16) to base 7\nAnswer: -1645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 2208784142\nAnswer: 2208784141.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {y: 7, h: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -2881, -9711, -23017, -44959, -77697?\nAnswer: -123391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.4 - 191.4. Let i = -152 - n. What is the closest to -1 in i, 2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 9*u + 11. Let v be g(-8). Suppose v*b = 2*b + 187. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-6)\/(-28)) - 229892\/8842.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {u: 5, v: 1, q: 14}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133064 by -33266.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(13) + 2).\nAnswer: -3*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - 146 = -5*q, 0 = -3*q + 12. Let b = 45 - w. Suppose l + 1505 - 6508 = 3*p, b*p - 24997 = -5*l. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 + -139. Let n be 1 + 1 + (f - (-5)\/10). Sort 1\/3, -5, 0.2, n.\nAnswer: -5, 0.2, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/(4\/12). Let t(i) = -3 - 2*i**2 - 5*i + 3*i**2 + j*i. Is t(4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 79667*t**2 - 318672*t - 956020\/3.\nAnswer: (t - 239005)*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.038, 0.6, 1, -557 in decreasing order.\nAnswer: 1, 0.6, -0.038, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3550*h**2 + 68 - 39 - 29.\nAnswer: 3550*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 0*r**2 - 3*r**2 + 0*r + 2*r**2 + 0*r - 2*r**2 + 5*r**2 - 5*r**2 + (-3*r**2 + r**2 + 0*r**2)*(1 + 2 - 2) - 36*r + 0 - 4 + r**2 + 34*r.\nAnswer: -3*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/6, -5.278, 3\/8?\nAnswer: -5.278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2182 - 269. Suppose -5*v + t + 582 = 0. Suppose -11*c + v = -227. Calculate the remainder when c is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/5, 14, 5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 7227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 l, and 1 c when four letters picked without replacement from {l: 2, b: 5, i: 2, c: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(125) - -4*sqrt(125))*-4)*-3.\nAnswer: 3 + 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**6\/840 + 9*y**5\/70 - 81*y**4\/14 + 31*y**3\/3 + y**2 + 54. Let t(o) be the third derivative of p(o). Solve t(v) = 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 240*g - 98. Let t be v(9). Let i = t - 1228. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 438720 - -4?\nAnswer: 438724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l**2 - 150*l - 996. Is y(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, d: 1, l: 1}. What is prob of picking 2 y and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and 0.19?\nAnswer: -0.0247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z**2\/9 + 2*z.\nAnswer: -2*z*(7*z - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(1\/(-6)). Let a(d) = -b*d - 3 + 2*d**2 + 3*d - 2*d. Let j be a(3). What is the greatest common divisor of 132 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4407 = -c + 192*c + 148*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**0)\/(j*(j\/(j*j*(j**(-4)*j)\/j*j))\/j))**14*((j*j\/(j*j**(-1\/2)\/j)*j)**(-41))**(-2\/9) assuming j is positive.\nAnswer: j**(413\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -17. Let z(x) = -x**3 - x**2 + 8*x + 2. What is the remainder when w is divided by z(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggv when three letters picked without replacement from gvggglvglgvvvvvvv?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((55 - 13) + -15 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44462748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*d - 14*n - 78 = 952*d, -84 = -4*d + 10*n for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17072 and 264?\nAnswer: 51216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 497454 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3136939.\nAnswer: 13, 241303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.020155 rounded to two dps?\nAnswer: -10.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 179309 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3*-1)\/((-18)\/(78\/13))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 620 + -636 - 46\/32 - 72\/(-4)\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-33)\/(-22)*4\/(-45)). Solve 6*c = 3*c - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -388.\nAnswer: 77.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x)*((-2 + 3 + 1)*(2 - 1 + 1) - 1 - 5 + 1).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(91)*1 - (sqrt(91)*2*6 - sqrt(91))))\/((sqrt(49) + sqrt(2401) + sqrt(2401) + -1*sqrt(2401))\/(3*sqrt(448))).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -13*k**6\/120 + k**5\/15 - k**3 + 2318*k**2 - k. Let h(u) = u**2 - 1. Calculate -f(g) + 5*h(g).\nAnswer: 13*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b. Give a(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/308762 and 83\/18.\nAnswer: 2778858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1852147, 3704297, 5556447, 7408597, 9260747, 11112897?\n\"Answer: 1852150*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + c + 212 = 215, -3*c = 6*a - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*(u*u**(-1\/10)\/u)\/u))\/(u*u**(5\/6)))**1 assuming u is positive.\nAnswer: u**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, -1\/4, -20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = -8. Suppose 2*s - 5*s = z*j, 2*j + 8 = -4*s. Let d(y) = -1 - 2 + 10*y + 0*y - 7*y. Give d(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h*h**(-4))**(-17) assuming h is positive.\nAnswer: h**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**2 + 2*q - 12. What is the remainder when y(-9) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2 + 18*f**4 - 2*f**2 - 3*f**2 - 5*f wrt f?\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:40 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*j + 102*j - 75. What is the fourth smallest value in -3, j, -1\/16, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 2 + 4*a**3 - 26*a + 25*a + 3*a**2 to j*a**2 + p*a**3 + t*a + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 9194563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25869, -4, -221, 3.\nAnswer: -221, -4, 3, 25869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 - -178. Suppose h = 46 - w. What is the greatest common divisor of h and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**10\/y*y**(-2\/35))**8)**(-5\/9) assuming y is positive.\nAnswer: y**(-928\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(105\/(-14)) - (-324)\/10. Suppose 13*m = h*m - 128801. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j + 2. Determine v(12).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107669219.\nAnswer: 7, 19, 109, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.8 + -9. Let n = -7568 + 7568.1. What is the smallest value in 3\/2, 0.4, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -60. Suppose 0 = 3*d - 5*d + 2*g + s, -d - 4*g = -20. What is the lowest common multiple of d and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or -4.61?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 252.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11*g*g**7\/g)\/(g**(-14)*g**15) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1834031 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:10 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/4 + 3*p**3\/2 - 7*p**2\/4 - 9*p + 9 = 0. Calculate p.\nAnswer: -6, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62223*k*p**2 - 94994*p**2 wrt k?\nAnswer: -62223*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 114. Suppose -40 + 6*l**2 + 45*l + 0*l**2 - 17*l**2 + 6*l**p = 0. What is l?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 26*t. Let i(c) be the third derivative of -5*c**4\/24 + 14*c**2. Let r(z) = -16*i(z) - 3*q(z). Let k(d) = 7*d - 2*d + d. Give k(r(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20464182?\nAnswer: 2, 3, 37, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1412 = 2*q, 2*q - 2091 = -4*a - 647. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 1, d: 6, s: 2, z: 1}. What is prob of sequence ddss?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:18 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*d. Suppose -4 = -d*g + 4. What is the common denominator of 13\/4 and (-1455)\/60 - 2\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/288*(-119)\/(-238))\/((-1)\/10)\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117988 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: Is 3 a factor of 83460168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6527 (base 9) to base 15\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1608 and 507525.\nAnswer: 4060200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2 - 11*h. Let j be f(7). Let z(y) = -2*y + 4*y - 5 + j - y. What is the units digit of z(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 4. What is the common denominator of -31\/9 and 45\/(-2) - 8\/r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22574.346 seconds to minutes.\nAnswer: 376.2391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281853.\nAnswer: 3, 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.1636899 - 9.164. Round d to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 4*s - 874 = 0. Suppose -29*t = -s*t + 1411. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 5*p**2 + 7*p + 7. Suppose h + 11 = 1. Let c = h + 16. Determine j(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6344*c**3 - 8*c**2 - 4*c + 8. Let l be z(6). Round l to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2244 - -2243.99991615. What is p rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 203 = -3*a, -3*v + 275 = 4*a - 6*v. Suppose g - 2 = 0, -5*t + 2*g = -a - 103. Let k = 5 - -9. What is the highest common divisor of t and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283*l*s**3*v**3 + 10*l*s**3*v - 11*l + s**3*v**3 - s**3*v**2 - s*v**2 wrt v.\nAnswer: -1698*l*s**3 + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + 36?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/27*-6 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13*m**2. Let t(v) be the third derivative of 299*v**5\/60 + 233*v**2. Calculate -4*t(i) - 91*x(i).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151c9 (base 14) to base 11.\nAnswer: -364a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 992 - 990. Let m(w) = 9*w + 20*w + 5*w**k - 2*w**2 - 29*w. Let i(r) = 0*r**2 + 2*r**2 - 7*r**2. Determine i(m(p)).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 14*p**2 + 12*p - 16. Let c be b(-13). Let k be -3 - 1\/(c\/12). Let r be -13 + 14 - k\/3. Sort -5, r, -0.3 in ascending order.\nAnswer: -5, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -21.2. Let n = o + -2. Let p = -3 + -1. Which is the third smallest value? (a) n (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 193 + 15?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 2 = 2*f, 0 = -s - 5*f - 3. Factor 2 + 3 - j**2 + 3 - j**s.\nAnswer: -2*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54082819 is divided by 10524.\nAnswer: 10507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-1)\/1 + 0)*(-688)\/(-2408)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + w + 904 = -2258, -3*w - 3168 = -3*a. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let h(r) = -r + 3*r + 3*r - 4*r + 5. Let z(s) = -2*h(s) - 9*x(s). Does 3 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -12. Let g = a + 9. Suppose 0*p - g*p = -190. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60252300 divided by -4.\nAnswer: 15063075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 0*a - 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2695*x + 1978. What are the prime factors of s(19)?\nAnswer: 13, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(40)\/sqrt(2)*-3)\/sqrt(10))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -382 + 382.1. Let f = 5.8 - 0.8. What is the closest to 0.1 in g, -4, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-1 + 3))*10\/5. Let j(d) = -19*d - 1. What is j(z)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(192)\/(sqrt(12) + sqrt(300) + sqrt(12) - sqrt(12)))\/sqrt(8)*-6.\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 - 980*y + 1944 = 0. What is y?\nAnswer: 2, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2332577 and 78.\nAnswer: 13995462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/5040 and 37\/11326?\nAnswer: 4077360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2108 and 102?\nAnswer: 6324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/(72\/(-27))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -31. Let z = -13 + j. Let v = 5 + -10. Which is the biggest value? (a) z (b) 0.04 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -16*m**3 - 5*m + 192. Let y(f) = -30*f**3 - 9*f + 385. What is 11*g(v) - 6*y(v)?\nAnswer: 4*v**3 - v - 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2112 and -146.\nAnswer: -308352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/10, -15, -28, -5, 4, 57, -2\/9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 times 49\nAnswer: -26.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -1.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -16\/5665 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 25*d - 24. Let r(f) = -10*f**2 + 123*f - 93. Let y(z) = 11*h(z) - 2*r(z). What is y(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 + 2*a + 2*a + 4 - 979*a**2 - 3. Let v be u(-7). Round v to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p + 4. Let j(o) = -86001*o**3 + 1. Let m be j(p). Round m to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -520, -686, -854, -1024?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -139?\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**3 + 7*o**2 + 7*o. Let x(k) = 2*k**3 + 2*k**2 + 2*k. Suppose 2*d - 10 = -3*d. Give d*v(n) - 7*x(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from xmxikipxmpme?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 0.0262.\nAnswer: 0.00393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 5*k**2 + 5*k - 6. Let j(u) be the second derivative of u**4\/12 + u**3\/6 - u**2\/2 + 6*u. What is 5*j(o) - w(o)?\nAnswer: 2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219951 is divided by 7642?\nAnswer: 5975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4143404201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 4}. What is prob of picking 1 t and 1 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5596 + (52 + 4)\/4.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 + 3. Let q be u(7). Suppose v - q = 12. Suppose 96 - 21 = f. What is the highest common divisor of v and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = s + 4*q, -15 = -3*s + q. Is (8\/s)\/(3\/18*2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 29 = 10*s. Calculate the lowest common multiple of 966 and s.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 10:37 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o + 11. Let g(r) = 7*r - 10. Calculate 6*g(s) + 5*n(s).\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drgd when four letters picked without replacement from fkqrggddfdf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 5, 78, 15, -5, 3 in ascending order.\nAnswer: -5, 3, 5, 15, 78, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-390)\/25 + 37\/(814\/352)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(114)*6 - (sqrt(114)*-2 + sqrt(114))*4))\/((sqrt(294) - (sqrt(294)*-2 - sqrt(294))*4)*-1).\nAnswer: -10*sqrt(19)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -q. Suppose -q*h = -2*y - 238, -4*h - 2*y + 0*y = -258. Let v = h + -44. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 - (2 - 0). Let o(n) = 2*n**2 + 29*n - 145. Let d be o(4). Solve 0 = -5*s - j - 3*j - 19, d*s - 2*j + 7 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*u - 202 = 0, -5*u - 133 = 2*r - 4*u. Let m = 78 + r. Solve -12 = -2*v - m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z**2 - 186*z + 26. Determine v(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*d - 18, -3*d + 17 = -j + 1. Suppose -d = 3*t + 2. Is (-43)\/t + (-8)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/((-672)\/291) + 2*-2 and -71\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 28*y + 15. Suppose -2*g + 5*v + 1193 = 0, -8*v + 2374 = 4*g - y*v. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 - 2 + 4*d - 2*d**2 - d. List the prime factors of y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 + 4*b**3 + 2*b**4 - 6*b**3 - 2*b**2)*(-2 - 2 + 2).\nAnswer: -4*b**4 + 4*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 452 = -456, 0 = -4*s - 4*z - 32 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 7*d + 3. Let g be q(6). Let v(x) be the first derivative of x**2 + 4*x - 2. Let f(u) = -u - 3. What is g*v(t) - 4*f(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4)\/x*x**(1\/15)*x**(1\/5)*x**3*x)**(6\/19) assuming x is positive.\nAnswer: x**(8\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 12579, 1 in increasing order.\nAnswer: -3, 1, 2, 12579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-693))\/((-482)\/5061).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17366223 is divided by 596.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, f: 2, z: 7}. What is prob of picking 1 z and 2 f?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2142 and 138222?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:18 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 - 4*k - 11. Let q be n(-4). Let h(f) = 3*f + 21. Let l be h(-7). Suppose -x = -d + 163 + 45, l = x + q. List the prime factors of d.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + j + 10 = 0, 2*j + 2*j = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(1\/17)*l*l))\/(l*l**(-4\/9)*l) assuming l is positive.\nAnswer: l**(-553\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29.2? (a) -4\/7 (b) -1 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**2 + 14. Let k(i) = -12*i**2. Determine k(a(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 10:48 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -30. Let f = 17 + a. Solve 7 = 2*t - f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10*(-4 + 52\/8). Solve 6*m + b = 2*m - 9, 3*m + o = -2*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 3*t - 1. Let y(f) = f**3 + 4*f**2 - 3*f + 7. Let z be y(-5). What is the remainder when q(z) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 562*d**5\/5 + 50576*d**4\/5 + 303408*d**3 + 3032640*d**2 - 21600*d.\nAnswer: 2*d*(d + 30)**3*(281*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0 - (-1 + 19)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irhhlorilohrrrlrirr. What is prob of picking 1 i, 1 h, and 1 l?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 + 1. Let i = 4 - 0. Suppose -30 = -i*r - r. What is the lowest common multiple of r and h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/5*0\/124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 1411987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 5381*w**2\/5 - 392566*w\/5 - 806664\/5.\nAnswer: -(w - 5307)*(w - 76)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by -64?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*l - 4*n + 100, -254 = -5*l - n. Let z = -45 + l. Calculate the lowest common multiple of 15 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-10)*4800\/576. Solve -y + 4*y = -d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -25 - 7 - 235*w + 16. What is the tens digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {l: 2, w: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*u + 12, -22 = 2*d + 3*u - 10. Suppose 3*m = -7 + 16. Solve -b - m*b - 20 = 0, d = 4*t + b + 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7) + 33 + -10 + -18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2196*y**4 + 4*y**2 + 19*y?\nAnswer: 52704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 327 = 57. Suppose -q = -4*l - 5*y, -l + 4*l - 5 = 2*y. Solve 4*d = -l*a - 15, 3*d - 2*a = 2 - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + d = 8, 5*d - 7*d + 12 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -10*p. Let k be 3\/(0 - -3) + 27. Let w(i) = 28 + 4*i**2 - 3*i**p - k. Let x(y) = -14*y. What is w(x(b))?\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, y: 1, s: 2, p: 1, i: 1}. Give prob of picking 1 p and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-10)\/210*((-216)\/1224)\/(6\/16)\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1468699021 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22472 and 7102?\nAnswer: 1505624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 230.95 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 561 + 251. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001181622332 to 7 decimal places.\nAnswer: 0.0011816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 3*p + 97 = -14*n + 67, 11*p = -3*n + 7*p - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*l**4 - 8*l**4 + 1219 + 25*l**4 - 6*l**4 + 73*l**3 with respect to l.\nAnswer: -8*l**3 + 219*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/7? (a) 0.04 (b) 5 (c) 62 (d) 1\/6 (e) 3 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -93*g + 6. Let z be m(-2). Suppose z - 12 = 9*u. Suppose -y - 5*b = -u, -5*y + 4*y = b - 20. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 2. Let r be u(-2). Let k be (4\/r)\/(2\/(-8)). Factor 4*f - 14*f**k + 18*f**3 + 2*f**5 - f**4 - 9*f**4 - 2 + 2.\nAnswer: 2*f*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 34840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1051136 and 18208?\nAnswer: 598096384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*w - 12, n - 1 + 4 = -w. Which is smaller: n or 24\/109?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/(-2 - (-78)\/48). What are the prime factors of 622\/(a - (-5 + -1))?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**2 + 0 - 7\/6*h**3 - h - 1\/12*h**4. What is the units digit of q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11485 - -13248. What is the remainder when o is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-20))\/((-8)\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - 50*g + 15*g + 13*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104746597*o**5 + 30640447*o**2 + o - 1?\nAnswer: 6284795820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/d**6)\/(d**(-3\/4)*d*d\/(d\/((d\/((d\/d**(3\/2)*d)\/d))\/d))) assuming d is positive.\nAnswer: d**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556051217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -10. Let o = -4 + -1. Which is the closest to 2? (a) v (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 77 = -115. Let z be 2\/(-6) + 232\/t. Let r be (-44)\/z - 4\/10. Is 4 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -836.8 - -822.8. What is the third smallest value in k, -2\/5, 5, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2) + 2*2. Suppose 65 = z - 0*z - 5*p, 95 = 2*z - w*p. Suppose -m + z = m. What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 510 = -132*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a4760 + 4?\nAnswer: -1a4759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y + 16. Let d = y + 4. Suppose d = 5*r - 4*c - 85, -4*c + 7 + 10 = r. What is the highest common divisor of r and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -244*w**2 + 2924*w + 34. Calculate a(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 39 + 6 = 0. List the prime factors of ((-12)\/a)\/((-6)\/(-45)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = t - 17, 2*w + 6*t = 13*t - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189 - -282. Let m = -91.36 + j. Round m to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20583*k + 2 - 35*k**2 - 2 + 146*k**2.\nAnswer: 111*k**2 - 20583*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629970*c - 26880 = -629298*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 303, 464, 625, 786, 947?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1682.3 - -2659.06. Let t = g + -993. Let r = -16 - t. What is r rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -6 - 1536\/64*(-387)\/666\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3684.417 - 157601043.\nAnswer: -157604727.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 217 + 509 = 235 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*p - 353. Suppose 2*r + m = 78, -3*r = -5*r + 2*m + p. Let f = -155\/4 + r. Which is the nearest to 3? (a) f (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 10195*i + 50764950.\nAnswer: -5*(i - 4365)*(i + 2326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*f + 4 + 2)*(-5 + 3 - 2)*(-11 + 12 - 6).\nAnswer: -60*f + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976943 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 plus 5?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/48 - 79*z**3\/12 + 87*z + 2. Factor c(r).\nAnswer: r*(r - 158)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + 2349. List the prime factors of b.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 6*p. Let b be t(-5). Let g be 3\/15 - 16\/b. Let i be 1*(4 + g)*0. Is -1 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3333.735 millilitres?\nAnswer: 3.333735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112) + sqrt(112)*-6)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpaptt. Give prob of picking 1 h, 1 t, 1 p, and 1 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = -3*y, 0 = 3*m - 0*y + 4*y. Suppose -k + 5*k = 0. Which is the fourth biggest value? (a) 2 (b) -5 (c) k (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, -62, -96, -142, -206, -294, -412, -566?\n\"Answer: -f**3 + 3*f**2 - 30*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1842747 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8375*s**2 - 2*s - 15*s + 33*s - 16*s.\nAnswer: 8375*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m + 1. Let x(b) = 5*b**3 - 3*b**2 + 16*b + 3. Determine 3*s(t) - x(t).\nAnswer: -2*t**3 + 3*t**2 - 19*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s, -19*s = 5*k - 17*s - 29680. Suppose -3*n + n = 2*d - 2372, 5*n - k = d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4318 - 2603 = -245*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4392656000 to the nearest one million.\nAnswer: -4393000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13702 divided by -1185?\nAnswer: -13702\/1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:52 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**3\/5 + 1866*f**2\/5 + 40356*f\/5 + 176256\/5.\nAnswer: 6*(f + 6)*(f + 17)*(f + 288)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:23 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 144 - 116*l - 12049*l**2 + l**3 + 15*l**3 + 12005*l**2 = 0. What is l?\nAnswer: -9\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32306 + -3?\nAnswer: -32312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -414, -355, 12, 5.\nAnswer: -414, -355, -5, -4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 257 - 360 + 188*z.\nAnswer: 188*z - 693","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, -0.3, -2\/5, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 424795252 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**2\/3 + 6228*f - 56268.\nAnswer: 4*(f - 9)*(2*f + 4689)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**5\/11 + 49992*h**4\/11 + 150022*h**3\/11 + 162540*h**2\/11 + 75022*h\/11 + 12504\/11 = 0. Calculate h.\nAnswer: -1, -1\/2, 6252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29755864001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/325 and -37\/5005.\nAnswer: 25025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/60067 - -6427209\/1201340. Let i = -22019\/10 + 2206. Calculate the common denominator of u and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-60)*(-6)\/(-56)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/6 - -4) + (-232)\/12. Let w(j) be the third derivative of -j**4\/24 + 4*j**3\/3 - j**2. What is the units digit of w(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 2. Let z(s) = s - 5. Let m(i) = -5*v(i) - 3*z(i). Let w be m(3). Let f be (-2)\/((-24)\/w - -2). What is the greatest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 - 15 = 0. Suppose 0 = 2*i - 1 - 3. Find the third derivative of i*r**2 + 5*r**2 - 3*r**k + 8*r**5 wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijheivhbj. What is prob of sequence ieh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -12*r + 9. Let h = 28 - 6. Let c be h*(-3)\/(-4) + 1\/(-2). Solve 0 = -r*y - y - c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = -4*q. Let n = 7 - q. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55083 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 5, r: 5}. Give prob of picking 1 r, 1 p, and 1 i.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 + 1 + -72 + 11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/(((-9660)\/15)\/7)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19612*g - 2*j + 12 = -19609*g, 68 = -5*g + 4*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3121232, 3121226, 3121216, 3121202, 3121184, 3121162, 3121136?\n\"Answer: -2*h**2 + 3121234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 6*j = 18. Let r(l) = -l**2 - l + 24. Let n be r(j). Solve 8 = -4*m, g - n = -g + 3*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from xbxa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, e: 2, f: 11}. Give prob of picking 1 u and 1 e.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*z**3 + 381*z**3 + 365*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 + 18*i**2 + 68*i + 153. What is the thousands digit of n(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1350 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201\/(-603)*159\/4*6*(-4)\/(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2282 - 2276 - 6*h**2 - 151*h + 4560 + 2*h**3 + 3*h**2 to the form z*h**2 + k*h**3 + a + q*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q + 24. Let k be t(0). Solve -k = 48*d - 54*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)*w)\/(w*w\/(w**10\/w*w*w)*w*w*w)*w*w\/((w\/((w*w*w\/(w*w*w**2)*w)\/w))\/w)*w*w*w**10 assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*r**5 - 144*r**2 wrt r?\nAnswer: 9180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1\/8)\/l)\/(((l\/((l*l\/(l\/((l**(1\/23)\/l*l)\/l)))\/l))\/l)\/l))\/(l\/((l**(1\/4)*l)\/l*l*l))**(1\/27))**(-12))**(-49) assuming l is positive.\nAnswer: l**(-252007\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 45*z - 8. Let o(v) = -v**2 + v - 1. Let q(n) = -k(n) + o(n). Calculate the lowest common multiple of 31 and q(22).\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/120 - 7*p**5\/20 + 9*p**4\/8 + 19*p**3 - 1075*p**2 + 2*p. Give w(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 708 - 26?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 192 + 11\/4*j**2 + 7\/10*j**5 + 3*j + 9\/8*j**4 - 11\/2*j**3. Let l(a) = 0. Calculate a.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*y - 8 + 4, -3*s = 4*y - 34. Suppose 5*v + p = 1078, 8*p = 4*v + s*p - 868. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729296?\nAnswer: 2, 19, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -1 - (21 - (-11 - (-7 + -6))) - -85.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = -6*y + 414. Suppose -4*t = y*p - 0*t - 1896, -951 = -2*p - t. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4 - 151*n**3 + 299*n**2 - 149*n = 0.\nAnswer: 0, 1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -307 - 308 + 614. Let x be 2\/(-8)*137*372\/(-31). Let q(r) = -3 + 411*r + 3*r**2 - x*r. What is 5*b(w) - q(w)?\nAnswer: -3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-105)\/(-25))\/(2\/10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(108\/(-972)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.000668 + -0.000668. Let y = 2 - -3. Which is the second biggest value? (a) -4 (b) y (c) h (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 * 0.01348\nAnswer: 1.8198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.13 (b) 2 (c) 0.218 (d) -10 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183 + 174. What is the fourth biggest value in 0.2, -0.1, w, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1712*k - 85612. What is w(-50)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 + (-2)\/(-1). Let g = b - 1. Let s = -1 - g. Is s < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (16 + 9 - 36) + -5 + 1 - -2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/120 and 127\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {a: 1, p: 1, e: 2, f: 1, t: 2, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 15*p. Let v(g) = -2*g. What is v(w(z))?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8372 (base 15) to base 16.\nAnswer: 6c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 28*b + 132 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-702)\/(-81)*(-70)\/((-210)\/27)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let p(j) = -26*j**2 - 12*j + 8*j**2 + 15*j**2. Calculate d(p(z)).\nAnswer: -9*z**4 - 72*z**3 - 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*d - 20. Suppose -9*p + 1080 = -d*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3 + 0 + 0 + 4. Let h be (-2)\/3*(-117)\/6. Let s = h + -12. Let c(u) = -u - 3. Determine s*c(y) + 6*b(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 9*x + 15. Let p = -13 + x. Let u be 8 - -4*(-6)\/8. Solve -p*v = -u*v - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -341 + 350. Suppose -2*g + q - 26 = 3*g, 0 = -2*g - q - z. Sort g, 180, 4, 5 in decreasing order.\nAnswer: 180, 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 4*r**2. Let b = -23 - -21. Let d(l) = 10*l**3 + 12*l**2 + 1. Let t(u) = b*d(u) + 7*o(u). Suppose -3*a = a + 12. What is t(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0 + 3 + 2*n + 1 + n**2. Let t(i) = 1170*i - 5853. Let r be t(5). Give x(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from vzzzzzvbbzz.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 13. Suppose -c - 1 = -b. Suppose -5*r = -7*r - b. What is the closest to r in -3, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/(16\/5). Let y = 290\/21 + -85\/7. Let x = 0.4 + -0.5. Which is the nearest to x? (a) 4 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -40*i + 324. Let b be p(8). Solve 0 = -5*w - b*t + 15, -2*w - 5*t + 9 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 37. Let s(t) = t**2. Determine b(s(n)).\nAnswer: -n**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 7*l. Suppose -2*w + 8 = -6. Let m be o(w). Solve m = -6*t + 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073 is divided by 74.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3665 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/17)\/s*s**(2\/25)*(s**(-3)*s)**(8\/7) assuming s is positive.\nAnswer: s**(-9362\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1028488\/69 + 14905. What is the common denominator of 43\/5 and z?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36893 + 195210. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 2*g**2 - 2*g**2. Suppose 5*x - 1 = -2*u + 84, u - 34 = -2*x. Let b(d) = -x*d + 7*d + 7*d. What is p(b(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let k = -68 + 70. Let c(q) = 7*q**2 + 10*q**k - 19*q**2 + 4*q**2. Determine c(p(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2244899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 15*z**2 + 13*z + 24. Let f be v(16). Let n = f - -376. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21918 and 21884 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 2. Let m(h) = -h**3 - 2*h**2 - 2*h. Let g be m(-2). Let d be g\/(-12)*3*0. Suppose -3*f + 2 + 7 = d. Calculate j(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 1, j: 2, i: 1, d: 2, z: 1}. What is prob of sequence dpt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -1. Let g(z) be the first derivative of -3*z**2\/2 + 20*z + 52. What is the units digit of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*f + 596 - 116 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 63. Is (6\/(-4))\/u*440\/(-33) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10922386?\nAnswer: 2, 29, 188317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812610.8cm to micrometers.\nAnswer: 8126108000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29497, 58998, 88499, 118000, 147501?\n\"Answer: 29501*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -18*o**3 + 666*o**2 + 37538*o - 12586 = 0?\nAnswer: -31, 1\/3, 203\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 4*d - 4. Let q = 17 + -30. Let h = q - -10. Determine t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176406233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/720 - i**5\/15 + 203*i**4\/24 + 14*i**2 + 3*i. Let y(k) be the second derivative of w(k). What is y(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*s + 5 + 5 = 158*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*m + 163*m - 82*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.641 - 6.26. Let n = 0.281 - u. What is the nearest to n in 1\/25, 1, 2?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26518 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = z - 2, 0 = d + z + 18 - 16. Let x be (7 - 8)*d\/(-5). Sort 0.08, x, -3 in ascending order.\nAnswer: -3, 0.08, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 20*x + 5*x + 10*x - 47*x + 9*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 488568?\nAnswer: 488568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.2 (b) -5 (c) 346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y + 37. Let i be 2\/15 - (-1 - 137\/(-15)). Let h be l(i). Let d be 13398 - h*(-6)\/(-9). What is d rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + 7*o**2\/2 + 1. Let q be z(-7). Suppose q*w - 2 = 2*w, n + w - 292 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3\/5)*w))\/w)\/((((w**(-1\/4)*w)\/w*w)\/w)\/w)*(w*w\/(w*(w\/(w*w**0))\/w)*w)**(-37\/4)*((w\/(w**10\/w)*w*w)\/w**(3\/11))**7 assuming w is positive.\nAnswer: w**(-7789\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -25 + 20 - (1 - -8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 10) to base 9.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*h + 35, -h - 12 = -o - 2. Let j(y) = -y**2 + 10*y - 33. Let l be j(o). Is 11 a factor of ((-60)\/(-24))\/((-2)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-33)*105\/(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -417 - -303 - (-7 + -26)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3 - 2673537*a**2 - 5347065*a - 2673531 = 0.\nAnswer: -891177, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2251.35 and -15.6?\nAnswer: 2235.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337768338?\nAnswer: 2, 13043, 51283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 88. Suppose 4*r = 3*b + q - 25, 3*r - 60 = -4*b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (319\/(-275)*1)\/((-6)\/(-10)) and -25\/219.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 6*k. Suppose l + 11 = 3*m - k*l, 3*m - 5*l - 31 = 0. Suppose m*p + p = 18. Solve 0*o = -4*o + i - 8, -3*o - p = -2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92623614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 1. Suppose 5*c - 4 = -14. Calculate r(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 61, -5\/4, -5, 426, -3\/4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 9*g - 82. Let f be k(-16). Let i = f - -926. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = -105. Suppose -3*g = -f - x, 0 = -2*f - 3 - 1. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 12, j: 3, c: 2}. Give prob of picking 1 j and 2 c.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = u + 3*u - 5*i + 26 + 118, 43 = -2*u - 3*i for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 758 = 4*h, h + 2*v - 68 = 120. Suppose h - 2 = 2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*g*q - 11524*g + 2*q**4 - 19*q**3 wrt q.\nAnswer: -15*g + 8*q**3 - 57*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 354 and -106.347351.\nAnswer: 247.652649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29\/5, 15, 1419\/10?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - p - 5*p - 13*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71374*b - 71363*b - 598 - 370 = 0. Solve b = 925*f - 914*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/153 and -24\/85?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**9*y)\/y*y)**(3\/5)*y**(6\/13)\/y*y\/y**15 assuming y is positive.\nAnswer: y**(-516\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27830880 divided by 80.\nAnswer: 347886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 1)*(-2 - 1 + 1)*(2 - 2 + 5*v) as h*v + s and give h.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(0*o**2 + 5*o**2 - 4*o**2) + 36 - 36 + 9*o**3 - 2*o**3 - 3*o + 3*o + (-3*o**2 + 0*o**2 + 5*o**2)*(6*o - 5*o + o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 143*l - 2998. Determine z(28).\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34924542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let z be j(0). Is (-44)\/(-4) - z\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336\/784*(-4)\/3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355877403 less than 5.413?\nAnswer: -355877397.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 157.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 36 + 43 = -2*g + 3*k + 46, 3*k - 12 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3972 is divided by 283.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2810*n - 42304 - 11086 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2186, 2054, 1830, 1514, 1106, 606?\n\"Answer: -46*o**2 + 6*o + 2226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10598053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1699393.7 to the nearest 10000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/2549 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6 rounded to zero dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -115143.\nAnswer: -5\/115143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254 + 235. Let b(j) = j**3 + 21*j**2 + 38*j + 3. Let i be b(y). What is the highest common divisor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -7. Let z = -19\/16 - t. Calculate the common denominator of z and -11\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2 + 167*k + 437 wrt k.\nAnswer: 4*k + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -8, 7*b + 10 = -2*d + 2*b. Suppose 5*h + 25 = d, 20*u - 8150 = 15*u + 4*h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 - 3*g + 2. Determine s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8768\/440 - 20)*(7 - (-81)\/(-18))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2. Let d be l(-4). Solve -3*a - 5*b + 18 + 10 = 0, 2*a + 3*b - 17 = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570799.\nAnswer: 37, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {d: 2, y: 2, u: 4, r: 1, k: 6}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feddkvmkemdmmmd. What is prob of picking 1 m and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 586, 591, 598, 607?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Let b(f) = 0*f**2 - 4 + f + f**g + 0*f**3 - f**2. What are the prime factors of b(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s**4\/3 - 76248*s**3 - 816243313*s**2\/3 + 3136499604*s - 27074069764\/3 = 0. What is s?\nAnswer: -7154, 23\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (152\/(-16))\/((-1)\/2). Let k = 19 - g. Let u be 4 - ((2 - 0) + k). Solve -l = l - u*b, 0 = 4*l - 3*b - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25484 - -1\nAnswer: 0.74516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 420?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17118 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8 + 131*k - 69*k - 61*k. What is w(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - (-738 - (25 + -8)). Calculate the greatest common factor of 166 and n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u + 2*u**2)*(u + 3*u - u)*(15*u + 15*u + 4*u) as t*u**4 + m + a*u + w*u**3 + y*u**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**4 - 905*n**3 - 34*n - 659044?\nAnswer: 8*n**3 - 2715*n**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -23911.1390647302.\nAnswer: -23910.1390647302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 5*q - o - 42, 7*o = -4*q + 85 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.545, 1, -1, 0.1, -153\/7.\nAnswer: -153\/7, -1, 0.1, 0.545, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 2*i + 3*i)*(-1 + 2 + 1)*(-36235*i + 36235*i - 432*i**3) as b*i**3 + s + l*i + x*i**2 + n*i**4 and give n.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(3525\/30)*45.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Suppose 0 = -3*x + f + 29, -48 = -5*x - h*f + 7. Find the common denominator of x\/(-35) - (-908)\/42 and 36\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3\/17, 1.1, -2\/19, 0.019, -2\/3?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 74 = -74 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -5*h, -53 = -4*y + h. Suppose -y = -2*i + 1. Let t(g) = 4*g**2 - 2*g + 1. Let u(r) = -9*r**2 + 5*r - 2. Determine i*t(f) + 3*u(f).\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.2. Let l = 186417 + -186413. What is the closest to -0.2 in l, 5, 0.21, r?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 + 56*c - 1205. Let t be q(-29). Solve -15*b + t = 520 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 6*v**2 + v - 1. Let w be 2 + -4 - -3 - -3. Let l be c(w). Let i = l - -84. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(42)*-1)\/(sqrt(60)\/(sqrt(50)\/sqrt(5))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 151390 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - b + 1 = 3, -3*y = -b - 4. Let w = 27 + y. Suppose 3*l - 3*v = 321, 0 = 7*l - 12*l - 5*v + 585. Calculate the greatest common divisor of w and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 2365*o - 3*o**2 - 2365*o + 2*o**2. Let j(t) = 4729*t**2. Calculate m(j(y)).\nAnswer: 22363441*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Let r be n + -2 + (0 - 3). What is the units digit of ((-1)\/3)\/(r\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 o when three letters picked without replacement from {h: 1, y: 1, c: 2, o: 1, p: 1, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -441762710 to the nearest 1000000.\nAnswer: -442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1823241 and 2430988.\nAnswer: 7292964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.187454 and 0.01.\nAnswer: 0.00187454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 14*w - 2\/3*w**3 + 0 + 86*w**2 - 1\/12*w**4. List the prime factors of i(0).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - a - a**3 - 2*a - a**3 - a**2 - a**4 to l*a**3 + o*a + p*a**2 + k*a**4 + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4596552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11407 - -11407.5. Let n = 0.21 + -0.2. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5116807, 10233613, 15350419, 20467225, 25584031, 30700837?\nAnswer: 35817643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2720 + 1228. Let k = g + -559. Calculate the remainder when k is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4255*u**2 - 2715*u - 278*u**2 - 103*u**2 - 94*u**2 + 1821*u**2 wrt u.\nAnswer: 11202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Let n = 21 - 18. Calculate the remainder when (-17)\/(-3)*(6 - n) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-four fifths of a microsecond?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*n**2 + 10\/9 - 4\/3*n.\nAnswer: 2*(n - 5)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -3\/5, 0.3, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 43*i - 422 + 121 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 14*d**2 + 15*d + 6. Let r be -9 + (-4 - -4 - 6). Calculate g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95480059.\nAnswer: 107, 227, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 452 < 452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 5. Suppose z + 113 = p*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z + 0 - 38*z + 6*z - z**2 + 24*z - 1. Let j(q) be the second derivative of q**4\/3 - 4*q**3\/3 + q**2 + 2*q. Calculate 8*b(f) + 3*j(f).\nAnswer: 4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let l be z(-1). Let o be ((-117)\/(-6))\/(1\/(-2)). Let c = -39 - o. Solve c*i = -i + l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.08, -3, 2\/9.\nAnswer: -3, 0.08, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + -92. Let t = y + -75. What are the prime factors of (150\/21)\/(t\/(-49))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -4 + (1 + 236)\/(11\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2278.4, 5, -4 in descending order.\nAnswer: 5, -4, -2278.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:39 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2786, 2780, 2758, 2714, 2642, 2536, 2390, 2198?\nAnswer: 1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*-2*-4)\/(sqrt(48)\/(sqrt(24)\/sqrt(4))*-5)*3*1.\nAnswer: -24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnaqnqw. Give prob of sequence aq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 - 705*x**3 - 34425*x**2 - 637875*x - 2733750 = 0. What is x?\nAnswer: -45, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**8\/840 + 2*j**7\/525 + j**6\/300 - 111*j**2 - 153. Let l(m) be the second derivative of u(m). Factor l(d).\nAnswer: 2*d**3*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-4 - 1 + 1)*(1 - 1 + 7)*(i**2 - i**2 - 4*i**4).\nAnswer: 112*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from {d: 4, u: 3, v: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1349 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2578 + 8636. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 6*h + 4. What is the remainder when j(4) is divided by 7\/2*(3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -23, -9, 11?\n\"Answer: 3*d**2 - d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + 135. Suppose -4*l = -26 - z. Let r = l + -26. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/10464 and 49\/115104.\nAnswer: 115104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (3 + -9 - (49 + 4)) - -11.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2580 - 409846 + 217955 - 435449 = 19685*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1566 and 1746293?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 1\/28, -1\/6, 0.1 in ascending order.\nAnswer: -1\/6, -1\/7, 1\/28, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 16 + 6 + 1119848*b - 1119757*b - 1 + 6.\nAnswer: 91*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 1545*p + 103376. Give j(-74).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*d + 1655 = 0, -z - 3*d + 1324 = 3*z. Suppose 4*l = c - z - 269, 3000 = 5*c + l. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2. Let s(m) = 15*m + 3. Let y be s(1). Let a(z) = y*z + 16*z + 14*z - 16*z. Calculate a(g(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 0.4, 26, -2\/9, -3, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/51 - -92\/255. Let s = 23 - 23.3. Let a = -0.8 + -0.2. What is the smallest value in s, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8337 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 966 and 840.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -19*u**6\/120 - u**5\/15 + u**4\/12 + u**3\/3 - 7495*u**2. Let x(g) = 39*g**3 + 9*g**2 - 4*g - 4. What is 9*s(q) + 4*x(q)?\nAnswer: -15*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/199305 and -41\/442900.\nAnswer: 3986100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 + 16)*84\/10. Suppose i = 5*q - 4*l, -3*q + 0*q + 6 = 4*l. Which is bigger: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1 + 0 + (5 - (-48 + 58)) - 56\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(98))\/sqrt(2)*-5)\/(sqrt(14)\/sqrt(2)*3 - -1*sqrt(700)).\nAnswer: -10*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 32 = -4*d, 0 = 9*d - 7*d + 3*g - 20. Suppose 0 = -k + 5, 4976 = d*f + 6*k - 10*k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1960*b**2 + b + 1. Let m be o(-1). Calculate the greatest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.102*-4\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233877, 233876, 233883, 233904, 233945, 234012, 234111?\nAnswer: 234248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1465021*v - 12. Let i(z) = 2*z. Calculate i(y(x)).\nAnswer: -2930042*x - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2287 (base 15) in base 6?\nAnswer: -53531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k - 24*k + 46*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 450.5155l?\nAnswer: 450515.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5801728 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: Calculate the remainder when 32608 is divided by 323.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 + 3)*(2*g - 2*g - 2*g + (2*g - g - 2*g)*(3 + 0 - 5) + g + 3*g - 2*g - 6575 - 60*g + 6575).\nAnswer: -116*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31506a5 (base 12) in base 10?\nAnswer: 9311453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*l**3 + 2*l**2 - 318*l wrt l?\nAnswer: -1854*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 444 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68243032 and 27404?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -11, 8, 2 in descending order.\nAnswer: 11, 8, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -16. What is the remainder when (-3)\/5 - 4\/(-20)*148 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -48168.\nAnswer: -13\/24084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 6. Which is bigger: b or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.8. Let r = 6 - 4. Which is the nearest to -2? (a) r (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*w - 492*w + 1953*w - 484*w - 487*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548 and 180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 232 = -9*n. Let p = 106 + n. Calculate the highest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 1 h when three letters picked without replacement from hhwhrawiyhhaw?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsso. What is prob of picking 1 s and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**3\/6 + 45*x**2\/2 - 33*x. Let z(c) = -c + 1. Let t(k) = w(k) - 5*z(k). Let f be t(-10). Solve f*q - q + 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 65*i**9\/84 + i**5\/30 - 172*i**4\/3 + 921*i**2. Find the third derivative of k(z) wrt z.\nAnswer: 46800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 142551*v - 1425521. What is o(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + z + 4)*(-19*z**2 + 14*z**2 + 3*z - 5*z).\nAnswer: -5*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) 5.1 (c) -1680 (d) 10\/11 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*a - 297*a = 85*a + 452*a + 29892 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -3, 4\/479, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -19*j**2 - 2. Let w(c) = -23380*c. Calculate y(w(m)).\nAnswer: -10385863600*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Suppose 16 = -4*s - y*f - 0, -5*s = 4*f + 11. What is the greatest common divisor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3793.28865 - -0.08865. What is q rounded to the nearest 10?\nAnswer: -3790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55 + 8*t - 55)*(4*t - 5*t + 30 + 3*t) to the form q + r*t + j*t**2 and give r.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 - 0.01. Suppose 2*h + 1 = 5. Suppose -5 = -h*q + 3. Sort v, 1\/3, q in decreasing order.\nAnswer: q, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -11, 0, 2\/11, 0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 147918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -8821*u**4\/24 + 13349*u**3\/6 + 2865*u**2. What is the derivative of l(d) wrt d?\nAnswer: -8821","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 27.9?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37597896 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - sqrt(136)*1*2 - (sqrt(136) + (sqrt(136) + sqrt(136)*-1)*1))\/(6*(1*sqrt(64))\/sqrt(2)).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxq when three letters picked without replacement from {x: 4, w: 2, q: 2, u: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176610 is divided by 5095?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 3*b - b)*(1 - 3 + 4) - 7 - 6*b + 6 + b in the form g*b + z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -7*g + 38*g + 34*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1006 - -1005.9393. Let s = -0.0617 - i. Is s at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49468 is divided by 120?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1264857, -1265060, -1265263, -1265466, -1265669?\nAnswer: -1265872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 4*o**2 - 9*o**3 + 0*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*m**5 - 6*m + 6*m + (0 + 0 - 2)*(2*m**5 + 0*m**5 - m**5 + (0 + 0 + m)*(-m**4 - 3*m**4 + 2*m**4) - 33*m**2 + 33*m**2 - 9*m**5).\nAnswer: -19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591036469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8059*u**3 - 95*u**2 + 10*u + 18. Let f(n) = -1612*n**3 + 20*n**2 - 2*n - 3. Let j(d) = 14*f(d) + 3*p(d). Find the third derivative of j(m) wrt m.\nAnswer: 9654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 800687351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-1.29562.\nAnswer: 1.554744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u. Let a(q) = -3402*q. Let s(w) = -85*w. Let l(m) = 2*a(m) - 81*s(m). Give 33*c(t) + 2*l(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 - 3*t - 1. Let a be g(4). Let s = a - 32. Calculate the smallest common multiple of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k\/((k**(-1)*k)\/k))))**(-13)\/(k**7*k**(2\/23)) assuming k is positive.\nAnswer: k**(-1060\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -339004, -678013, -1017026, -1356043, -1695064, -2034089?\n\"Answer: -2*l**2 - 339003*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v. Let c(t) = t**2 - t + 119998. Let m(l) = l + 1. Let h(n) = c(n) + 2*m(n). Let o be h(v). What is o rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32110 (base 9) in base 16?\nAnswer: 52ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**22*t**(1\/4) assuming t is positive.\nAnswer: t**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/2460843 and -61\/5896?\nAnswer: 19686744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -1\/24*y**4 + 13*y**2 + 0*y + 23\/6*y**3 + 0. Give o(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.950144 millimeters in kilometers?\nAnswer: 0.000007950144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1459916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from pqwawwaqqwhaqqg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 11 = 5. Let b be (2 + 1)\/(7 + -4). Sort p, b, 4 in increasing order.\nAnswer: p, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 25*d**3 + 3*d + 2. Let l(t) = -243*t - 3 + 733*t - 246*t - 245*t + 2. Give 2*b(r) + 6*l(r).\nAnswer: 50*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-20)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.30079 rounded to 1 dp?\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2. Let l(i) = 1038*i. Determine q(l(z)).\nAnswer: 1077444*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*v**2 - 12*v**2 - 18*v**2 - 18*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*t = 3, 5*z + 2*t - 37 = 5*t. Suppose 2*x = 2 - z. Suppose 105*n - 95 = 86*n. Sort -9, n, x.\nAnswer: -9, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684 = -5*b + 659 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/3323, 5, 0.5?\nAnswer: -3\/3323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - i + 34. Let g be (-3)\/(-15) - (-3)\/(-15). Is 9 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - w - 3)*(4*w**3 - w**3 + 7*w**3).\nAnswer: 20*w**4 - 30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-18)*g)\/g**5 assuming g is positive.\nAnswer: g**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/562563 and -63\/46.\nAnswer: 25877898","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (-8 - (-6 + 16 + -11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 15. Is -785*(l\/6 + 9\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001551878 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1480 and 3478.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = -26*p - 70. Let m be 200 + p*(-3)\/6. What is the highest common divisor of 115 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 7*y = 12. Suppose -2*j + g = -218, -j - 5 = y*g - 114. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-2 - -1) - -6. Suppose 2*o = v*o - 52. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (5 - (-10 - -23))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-7 - -12) - (0 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(605) + 5 + -1.\nAnswer: -1 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0.8. Let y = -2.8 - j. Let q = 0.05 + 0.35. What is the second smallest value in y, q, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*g**3*m*q - 2*a**3*g**3*q - a**2*g**3*q - 144*a**2 + g**3*m - g**2*q + 89*g*m*q wrt m?\nAnswer: -a**3*g**3*q + g**3 + 89*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 893.5666l?\nAnswer: 893566.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/218 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, -20.4 in decreasing order.\nAnswer: 17, 2, -20.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i*l**3*p**2 - i*l**3 + 5*i*l**2*p + 18*l**3*p**2 - 2*l**2*p**2 wrt i.\nAnswer: 3*l**3*p**2 - l**3 + 5*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -36*6\/(-18)*((-45)\/2)\/15\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 66*j**2 + 5*j + 11. Let d(m) = -13*m**2 - m - 2. Let u(p) = 11*d(p) + 2*f(p). Calculate u(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -3*y + 328. Let u = -51 - -54. Suppose y = u*l + 2*l - 2*k, -3*l - 4*k + 148 = 0. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 4*u - 4*u)*(18 + 7 - 1129*u - 34 + 9).\nAnswer: -4516*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1 - (1 - 1)). Suppose -2*h - h + 6 = l. Suppose 0 = 2*f + 2*f - 4. Solve f + h = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1\/7, -1\/5, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -134. Solve -5*m + 1 + r = 3*q, q = 3*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115404542?\nAnswer: 2, 11, 827, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-11) - (-19454)\/(-15070) and 238\/40*(-1)\/(-2).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5817, -22965, -51475, -91353, -142605, -205237?\nAnswer: -279255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m, 5*m = -4*p + 4. Which is the second biggest value? (a) -2\/3 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5658*q**2 - 73551*q + 39 = 0. Calculate q.\nAnswer: -13, 1\/1886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1414 (base 5) in base 15?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - 1 - (1 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165634 and 1187?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 6) + (2 - (2 + 0 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 50 - 1) + -57.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.6736 micrometers to nanometers.\nAnswer: 50673.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-792)\/55)\/8*-15*(-6)\/27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8457*b - 80861. Calculate i(9).\nAnswer: -4748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258883 is divided by 895?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2608 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0205194 and -552.\nAnswer: 11.3267088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 13*b + 7. Let v be t(7). Is v smaller than -391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 130 = 16*v. Suppose 0*t + 84 = 3*t. Calculate the remainder when v is divided by 3\/(-2*(-3)\/t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -z, -4*q = 7*z - 2*z - 50. Suppose z*b - 8*b - 24 = 0. Suppose s - b = x + 37, -2*s + 4*x = -106. Is s a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 7, l: 4}. What is prob of picking 1 o and 2 z?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-206)\/40 - (-1 + -4))\/((-4)\/(-16))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18666*g. Let s(h) = 3*h**2. Give w(s(p)).\nAnswer: -55998*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 3*x - 35. What is i(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41629194083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726898983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-14)*k**(-25) assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = 2*k + 4*k - 124775. What is the greatest common divisor of 100 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5961006 divided by 2\nAnswer: 2980503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 59. Put f, 8, -3, 5 in increasing order.\nAnswer: -3, f, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 1486*w - 17947. Determine b(12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 520679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/97038 and 145\/426.\nAnswer: 6889698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + 3 + -16 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 26*w + 34. Let p be r(-25). Calculate the remainder when 24 is divided by p\/2 + 9\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 + 275*l**4 + 2290*l**3 - 13370*l**2 - 37575*l + 48375 = 0.\nAnswer: -43, -15, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -9*c - 15. Solve c*m - 14 - 8 = -2*q, 3*m + 3 = 3*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12. What is the nearest to 1\/2 in -0.1, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 64719.9\nAnswer: -64734.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 9*i - 36. Suppose -i*y = 1 - 133. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 3. Let w(b) = -b + 2. Suppose 5*t = 21 - 6. Let m(f) = t*w(f) + 2*d(f). Let z(l) = -7*l + 1. Let g be 2 - -3*(0 - 1). Give g*z(u) - 5*m(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 43*w**2 + 89*w - 12. Let r be u(-45). Let m(i) = -27*i + 86*i - 30*i + 3*i**2 - 5 - r*i - 5*i**2. Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4*w + 3*m**2*w + 16*m**2 - 2*m*w - 3*m - 5*w wrt m.\nAnswer: 12*m**2*w + 6*w + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6144? (a) -15 (b) -0.087 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1988686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n, d - 4*n - 12 = -d. What is the units digit of (d\/9)\/((-2)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 1 - 9. Let l = 7 + 11. Solve -g*b = -4*b + 4*k, k = -4*b - l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let f be (2\/10 - a)*-10. Let d = -5 - f. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518455.255 minus 0.04?\nAnswer: -518455.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2274828ug to tonnes.\nAnswer: 0.0000000000002274828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -557*r**6 + 2909*r**4 - 3383101*r**2 wrt r?\nAnswer: -66840*r**3 + 69816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2461466 and 10900778?\nAnswer: 76305446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -159569 or -159677?\nAnswer: -159569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {y: 3, m: 2, e: 6, c: 4, g: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 21. Let w = t + 34. Let h = -20 + w. Which is the nearest to -0.3? (a) -0.1 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 - 47 + 90)*(1 - 1 + 4 + (-2 + 0 + 0)*(-1 + 0 + 0))*(-b + 4 - 4)*(-3 - 1 + 0).\nAnswer: -312*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3789 - 1528. Suppose 0 = -5*v + g - 51. Is 36 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4475 is divided by 98?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1470, 2891, 4188, 5295, 6146, 6675, 6816?\n\"Answer: -11*x**3 + 4*x**2 + 1486*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -24*g**3 + 40*g**2 + 8*g. Let c(b) = -98*b**3 + 170*b**2 + 35*b + 1. What is -2*c(q) + 9*h(q)?\nAnswer: -20*q**3 + 20*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/8)*u*u**39 assuming u is positive.\nAnswer: u**(319\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -31) + (-6 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-3)*(-15)\/(-10). Let h be q + -8 + 16\/15. Put 1\/5, -2, h in descending order.\nAnswer: 1\/5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -1. Let o(s) = 7*s**3 - 15*s**2 + 4*s - 8. Let v(u) = u**3 - u**2 - u. Let t(c) = o(c) - 6*v(c). What is the units digit of t(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.94 + -6. Let r = h + -4.94. Let i = 2.9 + -0.9. Which is the nearest to i? (a) r (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 14. Let b be n(6). Suppose -4*u - u - 4*v + 1302 = 0, -1056 = -b*u + 4*v. Is u a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -690 + 1033. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/5 + 8219807*x = 0. Calculate x.\nAnswer: -41099035, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206 - -211. Let z be (-6)\/(-5)*t - -300994. What is z rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Let z be (-3)\/(-2)*5*g. Suppose q - 5*j = -j + 3, z = 3*j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6*u - 3*b + 283, -4*u + 4*b + 220 = 0. Calculate the lowest common multiple of 1032 and u.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185790*a**3 - 86706*a**3 - 91405*a**3.\nAnswer: 7679*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1027, -916, -625, -64, 857?\n\"Answer: 15*d**3 + 6*d - 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from olloo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -398.0183 - -398. What is k rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60606 and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*x, -n = -3*n - x. Let z(o) = -1 + n - o + 0*o - 1. Let m be z(-7). Is 5 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9529485 to the power of 1\/2, to the nearest integer?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 365 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6428.7 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*x - 56 + 52, 4*h + 2 = -2*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6*2 - (-23)\/(-7). Suppose 0 = -5*x + 4*x + 3. What is the nearest to -2\/3 in f, -1\/7, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 1. Let u(r) = 5*r - 5. What is 20*d(w) - 4*u(w)?\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 53. Let y be l\/((5 + -8)\/(-3)). Solve 2 - y = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425110 is divided by 1792?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601694 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2580 and 678970?\nAnswer: 4073820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 24 = 3*c. Solve r - 2 = s, 0 = -c*s + 2 - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56405091.\nAnswer: 3, 19, 53, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/15 + 4*s**4\/9 + 8*s**3\/9 - 80*s. Suppose c(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 + 4*j**3 + 4*j**3 - 19*j**3 - 13*j.\nAnswer: 3*j**3 - 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-14) + (-494346)\/(-21) + -7.\nAnswer: 101, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpmh when four letters picked without replacement from {p: 6, a: 1, m: 2, h: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/219790 and 77\/4275.\nAnswer: 187920450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from nnnnnnbnbn.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 3*d + 6. Let h(o) = 6*o + 60*o**3 - 132*o**3 + 11 + 70*o**3. Determine 6*h(r) - 11*n(r).\nAnswer: -r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5429 - -5434. Solve q*z + 48 = 13*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 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: Calculate (-1)\/2 - (-7)\/(-98).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -868 - -1301. What are the prime factors of u?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w + 148. Suppose 3*g + 11 = 2*p + 48, 54 = 4*g - 5*p. What is the remainder when w is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 464*k**4 + 4*k**3 + 72*k**2 + 767268*k wrt k?\nAnswer: 5568*k**2 + 24*k + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 - -0.26. Let d = l - 0.84. Is 0.1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22031.193 less than 0.5?\nAnswer: 22031.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -93795, -2, 2, 1 in descending order.\nAnswer: 2, 1, -2, -93795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-49)*((a\/(a**9*a))\/a)\/a**(-2\/29) assuming a is positive.\nAnswer: a**(-288\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/705 (b) 3 (c) 1\/3 (d) -0.4 (e) 0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-8)\/8 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**23*w*w\/(w\/(w\/w**(-17\/5))*w*w*w))\/(w\/(w**(3\/4)\/w))**(-17))**(-12\/17) assuming w is positive.\nAnswer: w**(-2799\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 72. Which is the nearest to v? (a) -9 (b) 2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - -11) + -3377 + 3307\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 + 29031*x**2\/2 - 521586*x.\nAnswer: -3*x*(x - 19318)*(x - 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3141520.\nAnswer: 2, 5, 107, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 66.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1030\/(-375) - (-96)\/36)\/((-2)\/2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20300782.\nAnswer: 2, 569, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4909\/1066 + 188\/39. What is the common denominator of -143\/24 and n?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29674 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 0.3, 0, -0.17, 26, -6?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 12 + 0 + 4*v - 33*v + 22*v - 3. Let q be m(6). Solve 5*d + q*r + 1 = 0, 2*d = -2*r + r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67330, -134591, -201852, -269113, -336374, -403635?\nAnswer: -470896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11261 + 11359. Calculate the greatest common factor of o and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 + 25 + 36)*(-2*d - 6*d**2 - 6*d**2 + 6*d**2) to n*d**2 + k*d + u and give k.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p + 6. Let j(g) = 18*g - 170. Let n be j(9). Calculate x(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3276599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**4\/12 + t**3\/6 + 4*t**2 + 85*t. Calculate the smallest common multiple of 312 and p(0).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-1\/14)\/(p*p\/(p\/(p\/(p**(-1)*p))))**(-35) assuming p is positive.\nAnswer: p**(489\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -1\/2, 130, 1\/43?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.84 + -43. What is c rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425946 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11915527271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 17 + 23. Suppose b + 5*w - 12 = 0, 0*w + 2 = w. Let n(k) = -k**2 - 8*k - 7. Let c be n(-7). Sort b, t, c in decreasing order.\nAnswer: t, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 72*i**2 + 1 - 148*i**2 + 72*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -387*h*j*k**2 + h*j + 158*j*k + 24*k**2 wrt h.\nAnswer: -387*j*k**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/14, -8\/9, -0.17 in decreasing order.\nAnswer: -1\/14, -0.17, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 28*g**3 - 2*g**2 - 3*g. Let s(k) = -27*k**3 + k**2 + 2*k. Give 2*b(n) + 3*s(n).\nAnswer: -25*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142174530?\nAnswer: 2, 3, 5, 19, 29, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2417 - -8305. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 265*g**2 - 2 + 9*g**3 + 11 - 274*g**2. Let z(x) = 4*x**3 - 5*x**2 + 5. Give 5*i(v) - 9*z(v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7079\/76 + -373\/4. Which is the closest to 1\/3? (a) 2 (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 5*d**2 - 3*d - 1. Let b(s) = s**2. Calculate b(t) - w(t).\nAnswer: 2*t**3 + 6*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1812 - 2172 = -29*x + 11*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2394 - 2370 = -4*z, 27 = -4*z + 5*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-33) + (-456)\/(-33). Suppose -g + 6 = -v. Suppose -2*f - 3*f = -g. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102202000122 (base 3) to base 8\nAnswer: -703306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let q = 1 - p. Is (6\/15)\/(q\/(-20)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20 - w**2 + 6*w**2 - 6*w**2 - 3*w. Let h be t(-6). What is the derivative of -2*z**2 - 6*z**h + 10 + 46*z - 46*z wrt z?\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + 2\/9. Let n(u) be the second derivative of u**3\/6 - 13*u**2\/2 + 92*u - 8. Give n(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-230)\/(-45) + (-5)\/45.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010137 to 6 decimal places.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3642, 7285, 10928?\nAnswer: 14571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 162 + 39 = a, 3*a = -p - 19. Is (p + -6)\/(2\/(-6)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 466 and 133509?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {b: 3, k: 13, x: 2, w: 1, r: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exk when three letters picked without replacement from {k: 2, n: 4, x: 1, e: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 8:46 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-1)\/4 + 14964\/80. Let j = -186 + q. Let p = -39 + 44. Which is the second biggest value? (a) 3 (b) p (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/5, -0.5, 2, 0.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(2 - 2 + 1)*(-2 - 4 + 4)*(191272*z - 191272*z - 2015*z**2) to the form s*z**2 + d + t*z and give s.\nAnswer: -8060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 2.67609?\nAnswer: 5.35218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -327 + 804. Let r = 477.679 - m. Round r to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32613197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**3 + 9*v - 10.\nAnswer: -6*v**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:45 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 2a8002a?\nAnswer: -2a80044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 6*z**4 - 37 + 37 + (0 + 1 - 5)*(0*z**3 + z**4 + 0*z**3).\nAnswer: 2*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 64*h - 395. What is the remainder when w(-39) is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u + 64 = -28 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/6 (b) -4 (c) -0.08 (d) -13.8 (e) 2\/67 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4 + 20*b. Let u(r) = 3*r. Give u(t(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 59, 70, 99, 152, 235?\n\"Answer: i**3 - 8*i + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25202 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330751410 by -2202.\nAnswer: -150205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/84)\/((-1)\/1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2758? (a) -2 (b) 3 (c) -1\/3 (d) -30 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.855 - -0.855. What is the fourth smallest value in -26, 0.1, w, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 + 0 = 0. Let w = -4\/33 - -5\/11. What is the closest to p in w, 4, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -18075 (c) 0.4395\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from rwccrrrcrwcwc?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 6*u + 19. Let j(l) = -26*l**2 - 51*l + 178. What is 19*h(a) - 2*j(a)?\nAnswer: -5*a**2 - 12*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 32 = -41 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*o + 2*o**3 - 35*o)*(-18 + 33 - 13 - 22*o).\nAnswer: -44*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/(d*(d**(6\/7)*d)\/d))\/d)\/d)**44\/(d**(-1\/7)\/d)**(-32))**34 assuming d is positive.\nAnswer: d**(-28152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 25. Solve -t*w - w = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/135634165 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5823 + 5903. Let d(y) = 6*y - 6. Suppose 10 = -0*o + 4*o + 2*r, -3*r - 13 = -o. Calculate the smallest common multiple of g and d(o).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 9:15 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -15) + -3 - (26 + -21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*q - 36*n + 38*n - 451, 0 = -q - 3*n + 1 - 4 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2977*u**4 - 10*u**3 - 2*u**2 - 16528574 with respect to u.\nAnswer: -11908*u**3 - 30*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*d + 4 = 12, 4*d = k + 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4544718899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.6496 litres in millilitres?\nAnswer: 233649.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 7 + -7 + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 8*i - 4*i)*(-i**2 + 4*i**2 - 4*i**2)*(2*i + i - 4*i).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 18*f + 80. Let s be x(-11). Determine y, given that -5*y**2 + 1318 - y**4 - 4*y**s + y**2 - 1318 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*x**2 - 6*x - 74*x**2 + 11*x)*(4 - 1 - 1) + x**2 - 2*x**2 - 2*x**2.\nAnswer: -37*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 10:52 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let q(x) = 1220528*x**2. Give q(j(b)).\nAnswer: 1220528*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120240358 divided by -2268686.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swww when four letters picked without replacement from swwjjlljwlll?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12 = 2*z, -2*z - 2*z - 36 = -4*o. Let i be 8\/(-44) - 2\/z. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1095004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - -8 - (-21 + (36 - -31))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (112\/(-890))\/(234\/495). Let n = -953\/2937 + 7\/33. Let i = n - c. Put 2, -5, i in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (18 + -15 + -10 - (-6 - 0))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-22)\/21)\/(12\/(-36)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*s - 66 = -98*s. Let b be 42\/11 + -2 - (-4)\/s. Suppose 4*t = -b*f, 0 = t - 5*t + 8. Which is smaller: -26\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.479 + -6.36026. Let j = -5.17386 - o. Let g = 5.3 + j. Round g to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 9 + -16 + (5 - (4 + 0)) + -69?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + 0 + (16 - 19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2228, -4459, -6690, -8921?\nAnswer: -11152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(28*j**4 - 22566*j**3 + 11283*j**3 + 86 + 11285*j**3) as g*j**2 + z*j + t + d*j**3 + i*j**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 4324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**2 - 3*o**2 - 2*o**2)*(3*o**3 + 3*o**3 - 7*o**3 + (3*o - o + 0*o)*(-3*o**2 + 3*o**2 + 2*o**2)).\nAnswer: -39*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -24340717 >= -24340717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21404540 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4) - (28\/(-21) + 328\/480)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -0.4\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j)**(8\/5) assuming j is positive.\nAnswer: j**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/42*9\/(-6). Sort j, 185, -0.2 in descending order.\nAnswer: 185, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*f**2*j + f*j + 40*j + 2 wrt f.\nAnswer: -68*f*j + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 2) + -1 + (-11 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2916))\/sqrt(12)*-6.\nAnswer: 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410 - 410 + 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66034746 and 9110?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -832 - -1436. Suppose 2*k - 284 = -4*s, -5*k = 5*s - 121 - x. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 55?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 6) to base 16.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -121401702 and 1.01.\nAnswer: -121401700.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74551289\/416 - 179210. Calculate the common denominator of 9\/176 and p.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*0.208\nAnswer: -2.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 17023*l**2 + 20*l + 19. What is the thousands digit of p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.543+-1.6\nAnswer: -1.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 28*z - 9*z + z**2 - 44*z - 34. Does 50 divide h(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/9 - 854*m**2\/9 - 59942*m\/9 - 386630\/3 = 0?\nAnswer: -345, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -591, -848, -1087, -1302, -1487, -1636?\nAnswer: -1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = -22. Suppose 361 - 795 = -285*v - 9554. Let i = o - v. Solve -r = i*s - 0*s + 10, 0 = 4*s + 5*r + 32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*r**4*w**2 + 2250*r**4 - 2003*r**2 + 8*w**2 - 3 wrt r?\nAnswer: -1920*r*w**2 + 54000*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (14 + -83 + 25 + -12).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24d (base 16) to base 5.\nAnswer: -4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 97084163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 9*r**2 - 10*r + 2. Let u be o(10). Solve u*i = -i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -148. Suppose -4*w + 60 = 7*s - 2*s, -4*s + 17 = -3*w. Calculate the remainder when j is divided by (-4)\/(s - 4)*-15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 44*a**3 + 2*a**2 - 5*a - 6. Determine m(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2706a8a (base 11) to base 16.\nAnswer: -47685d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 123 = 4*y, -60107*y + 60103*y = -5*j + 105 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 11*g**2 + 11*g + 10. Let n be l(-10). Let p be (-3)\/(-3 - -2)*-5. What is the tens digit of (-84)\/30*(p + n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-4)*67\/(-603)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62546a20 + -3?\nAnswer: 62546a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -27*z. Let o(p) = -395 - p + 395. Determine o(q(t)).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5, -1, -4 in decreasing order.\nAnswer: 5, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 103 = -5*a - 99, -5*a = -5*r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**3 - 12456*z + 24946*z - 12490*z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - (-90)\/20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 b when four letters picked without replacement from ooonnnooooonoonnobo?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 14*b**3 + 66*b**2 - 104*b + 24 = 0?\nAnswer: -6, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 + 5*s + 8. Let k be t(6). Let n = 2 + -6. Let r be (-1)\/k*(n - 4). Solve r = -4*u - 0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3385 and -43\/1354?\nAnswer: 6770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -3d?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.55 + -3.8. Round b to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21518, -29527, -37536?\n\"Answer: -8009*u - 13509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/7, -38322, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 620344747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Suppose -q*p = 5*w - 45, -p - p + 5*w = -25. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:57 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 27*l - 324. Let k be g(9). Suppose -9*t + 8*t + 312 = k. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + h**2 - 2*h**2)*(-24 + 32 + 35).\nAnswer: 86*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 3. Let g(d) = -984*d**3 + 4*d**2 + 2*d - 6*d + 5 + 985*d**3. Give g(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b (base 16) to base 7.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. Let i = 8 + y. Let s(g) = -9*g**2 + 41*g - 17. Let j be s(4). Solve 7 = 5*u - j*z + 1, 2*u + i = 4*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 7:38 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:34 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13027\/8 + -1621. Let n(c) = 5*c**3 + 3*c**2 - 5. Let y be n(6). Let d = y + -8305\/7. Find the common denominator of s and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6164.687m to nanometers.\nAnswer: 6164687000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 12:45 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99048641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(4)\/sqrt(2)) + 0 + sqrt(2) + 1.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -15*q + 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 8. Let u be y(-13). Solve 2*l + k + 2*k - 19 = 0, -4*l + u*k + 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 2, e: 4, j: 2}. What is prob of picking 2 j and 1 f?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.982969 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 4.94161.\nAnswer: 2.94161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3668861 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -55. Suppose p - 86 = -p - 4*y, 220 = 4*p - b*y. Is 10 a factor of (11 - 1)\/(3 + p\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*o + t + 10, 2*o + 3*t - 20 = 0. Solve 4*p = o - 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 8*c + 2911. Determine x(-50).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4 = -3*v + 4, 5*c - 5 = -5*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8637, 17266, 25895?\nAnswer: 34524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*y - 8*y - 3 - 14*y + 33*y**3 + 0 + 27*y**3 as k*y + r*y**3 + g + f*y**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5734654117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 222 - 266 - (-2 - 83)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2281 is divided by 379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(385\/(-30)))\/(14\/(-49)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 484549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25889.\nAnswer: 25889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/9 + 4\/9. Factor -2\/3*o**2 - n*o + 0.\nAnswer: -2*o*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(-1 + 1 - p - 2*p**3 + 9*p**5).\nAnswer: -9*p**5 + 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 1. Let y = -5 - r. Suppose -2*s = 3*w - 12, 0 = -0*s - 5*s + 5*w - 20. Which is the nearest to s? (a) -1\/4 (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20512 from 3.\nAnswer: 20515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-16)\/7) - 893\/(-76).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/39*-2*7\/(-42).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 211535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**4\/24 - 55*y**2. Let n(a) = 12*a - 2. What is q(n(p))?\nAnswer: 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 5*f - 5, 0 = 3*i + 5*f + 32 - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/12 and 94\/25725?\nAnswer: 102900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 6)\/((-2)\/(-30)*5). Suppose x = 4*f - 14, -k = x - 3*f - 0. Let a = 34 + x. Solve -a*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 3 + 21 = 11*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -25, -57, -111, -193?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23549 - 23548.936134. Let f = -0.064 + n. What is f rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose 15 = c*t, 5*t - 10 - 15 = 5*p. Find g, given that -2*g**5 + p*g**3 + 2*g**2 - 2*g**3 + 6*g**4 - 4*g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 11*(-21)\/(-154)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n + 2. Let x be s(2). Calculate the remainder when 25 is divided by 26\/5*x\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275293 and 793?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**6\/27 - 4*d**5\/45 - 2*d**4\/9 + 4*d**3\/27 + d**2\/3 - 2. Suppose y(u) = 0. What is u?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053943271 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 7*l**2 - 13*l**2 + 40*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 7. Let i be d(5). Let n = i - 1. Solve -4*u + 24 = -u + 3*x, 0 = n*u - 2*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9224.384mm in micrometers?\nAnswer: 9224384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*q**2 - 11838*q - 1612275.\nAnswer: -3*(q + 175)*(5*q + 3071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -488*f**2 - 4870*f + 139. Give h(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(95)*4)\/(sqrt(40)\/sqrt(72)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 6}. What is prob of picking 4 n?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 182 = 2. Find the second derivative of -42 + y*m**3 + m + 126*m**3 - 37*m**3 + 22*m**3 + 177*m**3 wrt m.\nAnswer: 1836*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.8, -0.1, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/7*77\/44)\/(9\/246)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 1, e: 6, s: 3, u: 1}. Give prob of picking 1 s and 2 e.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*-1*sqrt(171) + sqrt(171))*-2)\/(sqrt(45)\/(sqrt(20)\/sqrt(4)) - -1*sqrt(225)).\nAnswer: -25*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10548, -21087, -31628, -42171, -52716, -63263, -73812?\n\"Answer: -o**2 - 10536*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.21209.\nAnswer: 1.06045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2141097.3183 - -3.\nAnswer: -2141094.3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.978 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11158703, -11158698, -11158693, -11158688, -11158683?\nAnswer: -11158678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 5:20 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: bd3935 (base 14) to base 3\nAnswer: 110002110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 77 = 10*d. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*i - 206, -3*d - i + 134 = -d. What is the least common multiple of 57 and d?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(450) - sqrt(50) - (sqrt(100)\/sqrt(2)*-2 + sqrt(50)))\/(((-3*sqrt(80))\/sqrt(8) - sqrt(10))*-4).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -23.79. Let n = 0.41 + x. Let s = -283 - -282. Which is the nearest to s? (a) n (b) 1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((10*3)\/(-3))*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 13, q: 2, a: 3, o: 1}?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -16025.\nAnswer: -16025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -1) + (-6 - (7 - 9))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 5*x)*(-4*x**2 + x**2 - x**2).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6\/11, -0.5, -3, -3\/4, 0.09, 6.7?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*j = 2, -3 + 0 = h + 5*j. What is the third derivative of 0*i**2 - i**h - 9*i**3 + 12*i**3 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191031\/8 - 23825. Let w = y + -54. Let c = -37\/2 - -331\/18. Sort c, w, 5 in increasing order.\nAnswer: w, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 7, 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7458, 7242, 7026, 6810?\nAnswer: 6594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -55*13*(-10)\/10. Suppose 3*q + 3*x = 2*q + p, -3*x = 5*q - 3515. Suppose 4*m - 2 = 6, 3*m - q = -2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105732 by 10.\nAnswer: -52866\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7678 times -130357?\nAnswer: 1000881046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 9*z**2 - 21*z + 56. Calculate b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -874*j**2 + 133*j. Let n(b) = 33*b**2 - 5*b. Let u be (8 + (-660)\/16)*4\/1. Calculate u*n(v) - 5*q(v).\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2954492843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -214776 and 0.6?\nAnswer: -128865.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039459097 to 5 dps.\nAnswer: 0.03946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, m: 2, k: 6, j: 2}. What is prob of picking 1 m, 1 k, and 2 a?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*a - 4*l, 0 = 4*a - 263*l + 264*l + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 4*d**4 + d**4 + (2*d - 2*d - d + (3*d - 2 + 2)*(3 - 3 - 2))*(16*d**3 - 7*d**3 - 18*d**3 - 2).\nAnswer: 66*d**4 + 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7769*u + 11508 = 7776*u. What are the prime factors of u?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -994*a**3 + 2229*a - 4 - 4453*a + 4 + 2230*a - 189*a**2 wrt a.\nAnswer: -5964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/13 - 136592*t**2\/13 + 2332171808*t\/13 = 0.\nAnswer: 0, 34148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/((-35984)\/(-24))*4\/(-12). Let z(i) = i**2 + i - 1. Let c be z(-2). Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56387371, -56387373, -56387375, -56387377, -56387379, -56387381?\n\"Answer: -2*u - 56387369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1502 or 6011\/4?\nAnswer: 1502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-16)*3\/((-27)\/156).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/5*2640\/7128?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 485*g - 4770.\nAnswer: 5*(g - 106)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -224.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 2\/91, -1\/4 in increasing order.\nAnswer: -4, -2, -1\/4, 2\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 - n. Let d(c) = -4*c**3 + 5*c**2 - 5*c - 51. Calculate -d(h) + 5*x(h).\nAnswer: -h**3 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.34 + -0.66. Let y be (-3)\/33*6 + (-2360)\/(-3520). Which is the third biggest value? (a) s (b) 0 (c) y (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/439, 2\/3, -219, 0.3 in descending order.\nAnswer: 4, 2\/3, 0.3, 2\/439, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3859 + -1996. What are the prime factors of n?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -37*r + 1992. Calculate c(54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*k + 15, -20*x + 25 = -15*x + 5*k. Solve -25 = -5*s + 5*y, -x*s + s + 2*y = -12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 933 in -100, 0.1, 2, 1\/37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1151 + 76 - 5)*((-2*m - m + 2*m)*(-7 + 3 + 3) + 5*m + m - 3*m) as r*m + g and give r.\nAnswer: 4888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102133634 divided by -2.\nAnswer: -51066817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/(-10))\/(6\/15). Suppose -q*n + 5*n = 1140000. What is n rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 1 = -4*l, 36*g + 111 = 2*l - l - 63 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*t + 1049*t - 366*t - 511*t.\nAnswer: -269*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u. Let l(g) = -63*g**2 - 5810. What is j(l(m))?\nAnswer: 126*m**2 + 11620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1492876 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.1173142.\nAnswer: -0.02346284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -19306, 3, -40, 4 in descending order.\nAnswer: 4, 3, -7, -40, -19306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25 = -50. Suppose -15*z - 196 = -z. Let g = z + t. Let s(u) = -3*u**2. Determine s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-5 - 0)) + (-16 + 38 - -10) + 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2\/7, -0.02, -4, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*m + 2 - 1 + 32*m + 26*m - 4 to w + y*m and give y.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9*g**2 + 19 - 10*g**2)*(-6*g + 0*g + 0*g + (-3*g + 2*g + 2*g)*(3 - 4 + 3)).\nAnswer: 4*g**3 - 64*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -55*t + 155. What is j(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 0\/15 - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**2 - 25*x + 26. Let t be q(1). Put -4, 0, t in ascending order.\nAnswer: t, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 12 = 0. Let f be h - (-7 + 4)*-1. Which is bigger: -6\/19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2.2. Let y = 11 - 67\/6. What is the nearest to -1\/2 in 3, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 23*c + 2. Let v(t) = 21*t + 1. Give 4*o(b) - 6*v(b).\nAnswer: -34*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.5, -0.1, 103185?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o**3 - 2 + 0 - 2*o**3 wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 0*s - 6*s**4 + 2 - 4*s**3 + 9*s**4 + s to r*s**2 + b*s**3 + d*s**4 + f*s + m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 5. Let r(i) = -12 - 13 + i**2 + z + 12*i**3 - i. Calculate r(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1761205*j + 1897950?\nAnswer: 1761205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*c*d*f**3 + 8*c*d*f + 12547*c*d - 626221*c*f**3 + 5*c*f**2 + c*f wrt d.\nAnswer: -11*c*f**3 + 8*c*f + 12547*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2)\/(1\/(-15)). Let h be ((-84)\/g)\/(8\/(-80)). Let v be (-16)\/(-3)*(-6)\/(-4). What is the highest common divisor of h and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 12\/(-2)*16\/(-24). Suppose 2*z - 6*z - 28 = 0. Sort 0, u, z, 1.\nAnswer: z, u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - (sqrt(468) + -3 + 2 + sqrt(468)) - sqrt(468)) + -4*sqrt(468)*-3 - 5*(-5 + 1*sqrt(468) + sqrt(468) + -2)) + 3)**2.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11 = -4*a. Let x(y) = 4*y - 5. Let v be x(4). Calculate the highest common divisor of a and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 26\/9, 325, -0.5, -0.0006?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 at least as big as 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 5*d)*(17*d**2 + 10*d - 10*d) + 4 - 7*d + 663845*d**2 - 3*d**3 - 1 - 663844*d**2.\nAnswer: -20*d**3 + d**2 - 7*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 (base 13) in base 7?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from woowooo?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -873 - -872. Let u be (-2)\/(-3) + (-1)\/2. What is the third biggest value in u, -3\/5, o, -2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1982*q - 3298*q - 3622*q + 1952*q.\nAnswer: -6950*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 18. Is i not equal to -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0 (b) -0.3 (c) -152 (d) 178.7 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*-1.62.\nAnswer: 129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 0. Calculate the highest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 3*c**2 - 4*c - c**3 - 4*c + 5*c to the form t*c**3 + m + b*c + n*c**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 3324840*f + 19948968.\nAnswer: 2*(f + 6)*(f + 1662414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 209. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/120 + 7*v**5\/60 + 3*v**4\/8 - v**3\/2 - 2*v**2. Suppose 0 = 62*l - 146 - 526 + 176. Give a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 4. Suppose 3*t - 7*t + 28 = 0. What are the prime factors of c(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00182445 to five decimal places.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/3 + (-3)\/9. Suppose -16 = -2*o - v - 3*v, 0 = -p*o - 5*v + 20. Which is the closest to 0.2? (a) 0.17 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5964 = -27*w - 77*w - 109*w for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 1 (c) -0.9 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i - 112 = -208 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.48? (a) 1\/5 (b) -1\/3 (c) -1.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59.92 and -40.\nAnswer: 2396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2. Let q(x) = 12 - 2*x**2 - 5*x**2 - 17. Let o(h) = -20*h**2 - 14. Let a(b) = 5*o(b) - 14*q(b). Calculate s(a(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 - 5*i + 4. Determine c(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -2*f**3\/3 + 54*f. Let g(v) = 24*v. Determine b(g(j)).\nAnswer: -96*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 - 2*h + 2 - 2 + 1. Let x be w(1). What is the second smallest value in x, 2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71767.60999989 + 71767.6. Let j = b - -0.01. Round j to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516 a factor of 47657396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*i - 99*i + 4032 = 0 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w**0)\/w*w*w*w**10\/w*w assuming w is positive.\nAnswer: w**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2620 at most -2583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 100 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 124. Let k be w(-5). Let c = -93 + k. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-162)*9)\/((-2)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2172678 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 4*d - 2. Let i(w) = 2*w**2 + 342*w + 1 + 371*w - 711*w. Calculate -3*h(g) - 5*i(g).\nAnswer: -g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -6)*(5 - -1). Suppose 0*m = -4*m + c. Calculate the remainder when 10 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (3 + -12) - 35) + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + j - 3. Let f be c(6). Let y(d) = f*d - 2*d + d. Let a(m) be the first derivative of m**3 + 1. Determine a(y(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36223 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*sqrt(8) - sqrt(2) - ((sqrt(2)*2 + sqrt(2))**2 + 4))*5.\nAnswer: -660 - 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -5*l**3\/6 + 2*l. Let g(r) be the first derivative of -4*r**3\/3 + 1946. Give j(g(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*x + 7*x + 8*x)*(-215 - 137 + 74)*(-1 + 4 - 2)*(0 + 1 - 6) to the form c + p*x and give p.\nAnswer: 9730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10511.488 rounded to the nearest one hundred?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 7. Calculate the remainder when 21 is divided by c(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -11*z**3\/6 - 695*z**2\/4 - 63*z + 464. Factor d(b).\nAnswer: -(b + 63)*(11*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 18. Suppose 3*s + h*l - 434 = 0, 0*s + 2*s - l - 285 = 0. Suppose 3*a - s = 256. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.5 minus 10693996.5?\nAnswer: -10694184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = -2*p, -5*p + 4*k + 4 = -2*p. Suppose p = 2*i + 3*t + 2, 4*i - 1 = -t - 5. Is i at least as big as 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1288*f + 1270*f + 10*f**2 - 3827*f + 1269*f.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 25*b**2 - 730*b - 720. Let g be h(104). Round g to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 58 = 6*x. Let l = x + -16. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 25116105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 8*j + 61. Determine l(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 4)*(-7*a - 4*a + 3*a).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296*i**4 + 6*i**3 + 12*i**2 + 1357*i**2 + 61*i**2 wrt i?\nAnswer: -7104*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 3. Let u(x) = -2*x**2. Calculate b(u(i)).\nAnswer: 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35502335 + 3?\nAnswer: -35502332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.54 - 205.54. Let o = -2667.3 + 2916. Let a = l + o. What is a rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/482 and 75\/238.\nAnswer: 57358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 5*g - 3*g)*(-g**3 + 0*g**2 + 0*g**2).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 14 = 5*v. Let t = 6 - v. Let l = t + 3. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 146*i**2 - 8*i + 39. What are the prime factors of w(-6)?\nAnswer: 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -37 - 13. Let t = i - 0. Let m = t - 8. Solve 0*h - u = -m*h, -4*h = 5*u + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 5*m. Let r = 4 + m. Let h be -2 - r\/(12\/(-3)). Sort h, 3, -3.\nAnswer: -3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 40 = 2*d. Suppose 12*a - 19*a + 42 = 0. Suppose -v + a = -d. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 31, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -20*t**4 - 104*t**3 - 186*t**2 + 180*t + 90. Let l(i) = i**4 + i**3 + i + 1. Let h(m) = 20*l(m) + 2*p(m). Suppose h(n) = 0. What is n?\nAnswer: -5, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*y + 105*y + 133*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673 - 799 = -14*s. Sort 28, -1, s in descending order.\nAnswer: 28, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + -12. Let t = f - -88. Calculate the highest common divisor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 7 + 13 + 16*w + 18 - 18*w - 9.\nAnswer: -2*w + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3\/3 + 2*b. What is the remainder when 26 is divided by f(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468401?\nAnswer: 6468401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - (-8 - 1) - 3) + -3 + 3 + 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*12)\/(18\/(-672)*-2). Differentiate l*p**3 + 10 - 2 - 692*p**3 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 110 = 5*s, 2*p - 5*s = 5*p - 66. Let i = -277 - -281. Suppose -y + 3*y + 22 = i*o, -3*o + 23 = 5*y. What is the remainder when p is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1610 by -322.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 669257.54 days?\nAnswer: 95608.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:40 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 3 + 0)\/11. Suppose f + 4 = -2*m - 3, -m + 24 = -5*f. Is m greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3065, 3047, 3025, 3005, 2993, 2995?\nAnswer: 3017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26326906.2 microseconds?\nAnswer: 0.0003047095625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-142 + 50) - 46?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(1\/(6\/(-4))). Let p be -1*2 + (-27)\/l. Put p, -2, 4 in decreasing order.\nAnswer: 4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 6*n + (0 - 3 + 1)*(-4*n + 3*n + 0*n))*(-4*n + 3*n + 3*n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248.7 + -248.78. Let n = 0.2 - 0.1. Let i = n + -0.2. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/6 - 7*q**3 + 147*q**2\/2 = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -21, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1584) + (4*sqrt(1584)*-2)**2 - -4*sqrt(1584)*2 - (-3*sqrt(1584) + sqrt(1584))*-2*2).\nAnswer: 72*sqrt(11) + 608256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {n: 1, w: 8, l: 1, b: 3, y: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**3\/u*u)**6)**(-13) assuming u is positive.\nAnswer: u**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2028 divided by 1498\nAnswer: -1014\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12733938, 25467875, 38201812?\n\"Answer: 12733937*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Suppose f - 10 - 10 = -n, 2*f = v. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25949936 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 + (-10)\/15. Suppose -3*s - s + 8 = a. Suppose -s = p - 5. Solve -6*i = p*y - 4*i - 19, -2*i + 13 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/18794605 and 14\/59323.\nAnswer: 206740655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 67 + u - 31.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 60362*n. Let w(b) = -114*b. Determine u(w(l)).\nAnswer: -6881268*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 374159521*s**2 + 241277302?\nAnswer: 748319042*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1106601153 - -1?\nAnswer: -1106601152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36741 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 22*i = 8. Is (-6 + 1 + 63)*7\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 15*n + 53. Give k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 258, 2, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/99, 0.2, 0.1, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjjejmeeejbj. Give prob of sequence ebe.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (393\/524)\/(102\/(-4))*-4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 279670*s\/9.\nAnswer: -2*s*(s - 139835)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = v - 2*s - 15, 0 = v + 2*s + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74333, -74543, -74753, -74963?\nAnswer: -75173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129 - 2*o + 0*o - 20*o**2 + 96 - 5*o with respect to o.\nAnswer: -40*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -193776\nAnswer: -19377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 29230840.19?\nAnswer: -29230839.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 q, and 1 n when four letters picked without replacement from {f: 3, q: 1, n: 4, w: 10}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/20 - 7*i**3\/10 - 3*i**2 - 959*i. Factor b(y).\nAnswer: -3*(y + 2)*(y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 h when four letters picked without replacement from {h: 1, j: 1, m: 3, w: 1, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i + 1. Determine h(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r + 24*r - 24*r = 224 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 101*t**2. Let o(i) = 256*i - 1. Give v(o(k)).\nAnswer: 6619136*k**2 - 51712*k + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 442.996 - 3.\nAnswer: 439.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsyssqvssv. Give prob of picking 1 s and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -188179 or -188205?\nAnswer: -188179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 18788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y + 2013\/4*y**4 + 3\/4*y**5 + 0 + 1005\/2*y**3 + 0*y**2.\nAnswer: 3*y**3*(y + 1)*(y + 670)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 8. Suppose 9*f + 0*f = -4*f. Calculate s(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -20. Let g = x - -18. Solve -6*i = -g*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3, -2*v - 3*x = -0*x - 47. Let m = v + -13. Suppose 141 = 3*h - 3*s + m*s, 0 = 3*h + 4*s - 145. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30021122323 (base 4) to base 12\nAnswer: -1096937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -783.9?\nAnswer: -779.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - -2. Let g = -12 - -24. Let t = 8 - g. Put k, t, -1 in decreasing order.\nAnswer: k, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 762, 3146, 7150, 12774, 20018, 28882?\n\"Answer: 810*p**2 - 46*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 228*j**2\/5 + 886*j\/5 + 132.\nAnswer: 2*(j + 1)*(j + 3)*(j + 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 7)*(168 - 168 - 32*o)*(-o + o + 4*o).\nAnswer: 1024*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*k + 19, 0*k - 18 = -3*t + 3*k. Solve 2*w = -0*w - t*h - 10, 4*w + 20 = -2*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39150 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365*j**6 + j**2 + 246.\nAnswer: -43800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**11*u*u\/((((u**16\/u)\/u*u)\/u)\/u))\/((u*u*u*u**11\/u*u)\/u)**(-1\/3))**4 assuming u is positive.\nAnswer: u**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50539594 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) - 32\/30. Let q = 13.60263 + -275.60263. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6208, -2, 6, 1, 38, -3, 4.\nAnswer: -3, -2, 1, 4, 6, 38, 6208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16613737 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 - 3*b - 1. Let j(c) = -c**2 - c. Let h(v) = 3*j(v) - p(v). Let z be h(-6). Let k = 1 - z. Solve -3*f - 5 + 2 = k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*k**2 + 46 + 64*k**2 - 160*k**2 + 60*k**2 to the form t + n*k + z*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18 + 2 = 0. Suppose 87 = o*d - 97. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:00 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/681 + 793\/38136. Which is greater: -3\/8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10185.\nAnswer: 1\/2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 847\/(-21) + (0 - 12\/(-9)). Is (-569160)\/p + 2\/13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55308 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 9*m - 6*m + 13, -9*s - 4*m + 54 - 29 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8\/n*n\/(n\/n**(-1\/5)*n)*n**(2\/13)*n*((n\/((n**5*n)\/n))\/n)\/n assuming n is positive.\nAnswer: n**(62\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19366999*a - 19366999*a - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -177991 (b) 0.4 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/(1\/(-5)). Let a = 1 - 2. Let k = -2.01256 + 1.01256. What is the closest to a in z, k, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-26)\/91 + (-124)\/(-140) - 35177\/(-5).\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-6 + 1 - -10) + -9 + (0 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 + 18*y. Let d(m) = -11*m**2 + 37*m. Calculate 2*d(u) - 5*p(u).\nAnswer: 3*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/((1040\/(-273))\/8)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -187 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*s - 51 - 23*s - 20*s)*(2*s - 2*s + 2*s) to the form c*s + r + p*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21760 and 13315420.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11856, 47502, 106904, 190056, 296952?\n\"Answer: -y**3 + 11884*y**2 + y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18005962.57 rounded to the nearest ten thousand?\nAnswer: -18010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.5093\nAnswer: 0.15279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100111001111 - -1?\nAnswer: 10011100111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:07 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + j**2)*(676*j + 5970*j + 181 + 1707*j - 181) to the form g + c*j**3 + u*j + a*j**2 and give c.\nAnswer: 8353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 4, w: 9, f: 2, y: 3}. Give prob of sequence yywy.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215 - -203. Find the common denominator of -2\/15 and (j\/(-6))\/(-2) - (-458)\/204.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -27. What is the third biggest value in -2\/11, -6, w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 + -29 + 13 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1c7 (base 14) to base 13\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3\/5 + 8*x**2\/5 + 4*x\/5 - 8\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2 + 4*s - s**3 + 11*s**3 + 5*s - 9*s**3 + 13. Determine m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 13*j - 2. Let g(b) = 3 + b - 5 + 3 + 1. Let l be g(16). Is q(l) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 12) to base 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5101 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 2*t - 9\/2*t**2 - t**3 + 0. What is the smallest common multiple of f(-4) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -38, -95, -174, -275?\n\"Answer: -11*l**2 - 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - -4694. Suppose k = -4*b + 22*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*z - p - 7, 12 = -4*p. Suppose 4*g - 22 = -2*o, 3 + z = g. What is the first derivative of -14*n**2 + o - 5 + 2*n**2 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-9)*6\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324421 (base 6) to base 12.\nAnswer: -13711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 5*w + 2 = 3*u, 0 = -0*u - 3*u + 78*w - 70*w + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148609\/18 - -8256. What is the common denominator of x and -31\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + -23. Let u = 34 + i. Let v(p) = 6*p**2 - 3*p**2 - u*p**2. Let l(z) = -7*z. Give v(l(r)).\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 94493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/9)*b\/((b\/b**(2\/3)*b*b)\/b))\/((b*b\/(b*b**(-1)))\/b)**(-8) assuming b is positive.\nAnswer: b**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-36))\/((-1)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 46, 114, 182, 250, 318?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 746 = 4*a - 5*n, -a - 3*n = 706. Let i = a - -7940\/11. Calculate the common denominator of (16\/80)\/((-2)\/(-445)) and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1960 or -9.03?\nAnswer: -9.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 7136.\nAnswer: 49952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7006450*y**2. Let m(h) = -5*h. Give m(s(t)).\nAnswer: -35032250*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7 + 7)\/6)\/2. What is the remainder when -62*1\/(-4)*2 is divided by y + (2 - -19) - 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1608)\/(-10452)*(-4)\/12*-6\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/10)\/((-21)\/(-70)))\/(4216\/(-238204))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 810708094 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/8 (b) 5 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20947, -20845, -20741, -20635?\n\"Answer: x**2 + 99*x - 21047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 8. What is g(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 531\/(-98 + 39) - -37?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23141 (base 6) to base 8.\nAnswer: -6345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 212, -1 in ascending order.\nAnswer: -1, 4, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 4) + -1 - -4. Let w(l) = h - 4*l - 2 + 0*l. Let u(z) = -z. Suppose 3*o + 23 = -a - 8, 22 = -2*o - a. Determine o*u(i) + 2*w(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 579 = b, 5*b = 3*g - 2943. Let n = 2114 - 2014. Let f = n + b. What is f rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98427249*g**4 + 1459492855 wrt g.\nAnswer: -393708996*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2396 and -385 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -19\/4 (b) 0 (c) 1\/19 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 6*a**2 + 7*a + 6. Let h be x(-3). Suppose 1130 = 5*m + 7*j - h*j, 2*j = -8. Is 37 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 628060 - 1256021\/2. Let 21\/2*k**2 - 121\/2 + 1\/2*k**3 + x*k = 0. Calculate k.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77480380 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**3 - 30*p**3 + 47*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 6*p + 57. Let d be v(5). Solve d*q - 3 = -5, -4*m = 3*q - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.00035. What is w rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 3*o)*(-5*o**2 + 2*o**2 + 4*o**2) + 5*o - o**3 - 5*o + 0 + 0 - 2*o**3 + (2*o - 2*o - 2*o**2)*(-1 + 1 + o) + 0*o**3 + o**3 + 0*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1765 (base 8) in base 6?\nAnswer: -4405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Suppose 9*h + 0 - 54 = 0. Let u(l) = 2*l. Let x(m) = h*u(m) - 14*y(m). Let k(v) = v + 56. Determine k(x(q)).\nAnswer: -2*q + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76195080 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11602 + -5?\nAnswer: 11586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1764952 millilitres?\nAnswer: 0.0001764952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -46*v**3 + 19*v**2 - 103*v - 141. Is m(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*s = -136, 3*s = 3*c + 2*c - 168. Suppose -32 = -c*t + 25*t. Let b be -2 - -1 - 1*-3. Solve t*r = -2 - b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 46 + 2 = 0. Let j(r) = -r - 4. Let y = -5 + 7. Let a(f) = y + 0 + 1 - 2. Determine g*a(n) + 3*j(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -29\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)\/((-26370)\/13186 - (3 - 5)). What is the highest common factor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 872*y**2 - 480*y**2 + 6*y - 6*y.\nAnswer: -1352*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**17*o**17\/o)**(-2\/17) assuming o is positive.\nAnswer: o**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19*v**2 + 74*v - 20. Let i = -602 - -594. List the prime factors of n(i).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/sqrt(3))\/sqrt(3).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.793081mm to micrometers.\nAnswer: 4793.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -195\/34 smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20936.916 - 21010. Let v = j + 0.584. What is v rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5015 rounded to two decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241421417*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40686157 and 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11794 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1870 + 1865 - 3735 - 40*q**2.\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 673367099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeuu. Give prob of sequence euu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3993 and -47664542626.\nAnswer: -47664546619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290471.\nAnswer: 290471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3 = -h + 2, h + i = 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxxx when four letters picked without replacement from xxxxuxuxxxuxuxutuxx?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692889748.\nAnswer: 2, 2633, 65789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11585063 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1103, -1113, -1131, -1157, -1191, -1233?\n\"Answer: -4*o**2 + 2*o - 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 34. Let s(a) = -q*a**2 + 4*a**2 + 1 + 8*a**2 - a. Determine s(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.68. Let t = n - -1.12. Are t and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608142881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9424 = -2*q - 0*n + 2*n, 0 = -2*n + 2. Let k = -1411 - q. Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*b**3 - 26\/9*b**2 + 2\/9*b**4 + 40\/3 + 56\/9*b.\nAnswer: 2*(b - 5)*(b - 3)*(b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g**3 + 6*g**4 - 9*g**4 + 10*g**3 - 7*g wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -0.2, 3\/4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 55 - 16 - 19 - 168*f**4 - 21 as i*f + a + b*f**3 + k*f**2 + s*f**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109.836 + 110.836. Let y be 1 - 21\/24 - 0. What is the nearest to d in 6\/5, y, 0.1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/3)\/((41\/(-6))\/41). Let f(c) = -c**2 - 26*c + 62. What is f(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 76\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -11. Let h = i - -9. Let o be 1 - -33 - (-3 + 5 - -2). Calculate the highest common divisor of h and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(280) + sqrt(280)*-2 + sqrt(280))\/sqrt(7))\/(sqrt(128)\/sqrt(4)*-1) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**2\/2 - 2*k + 1. Let f be l(5). Determine v, given that -3*v**2 + f + 3*v**2 - 3*v**2 + 0*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 7*m**2 - 19*m - 3. Let v be b(-9). Solve -5 = z - 4*c, -v = -c - 2*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.055 and -506120.\nAnswer: -506120.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**6\/20 + 9*l**5\/20 - 2*l**4 - 7*l + 7. Factor v(g).\nAnswer: 3*g**2*(g - 2)*(g + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 24*d**2 + 78*d + 56. Let g be q(27). Put 5, -5, g in descending order.\nAnswer: 5, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -320825418 and -7.\nAnswer: -320825425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15*210\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -259.351403 to one decimal place.\nAnswer: -259.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*q + 18, 4*q + 1 = 4*s - 9*s. Sort -3, -1, 0, q.\nAnswer: q, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100523953.000069 - -100523813. Let n = s + 140. Round n to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 45*a + 467. Calculate p(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 9*u = 0. Which is greater: u or -1\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -307802916 - -4?\nAnswer: -307802912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 773*u - 2468*u + 25*u**2 + 1132*u + 965*u in the form b*u + v*u**2 + c and give b.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28737 times -1197?\nAnswer: -34398189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let w be v(-6). Let z = 13 - 1. Calculate the highest common divisor of z and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4365 (base 8) to base 11.\nAnswer: -17a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16. Suppose 84*y - 60 = 146*y - 74*y. Put 4, t, y, 1 in decreasing order.\nAnswer: y, 4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 2*b**2 - 9*b - 3. Let i be t(5). What is the greatest common factor of i and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**3 + 2*r**2 + 3. Let j be w(2). Let f = 44 + j. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 3*z - 100, -3*s + 438*z - 436*z + 74 = 13 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880550554 to the power of 1\/2, to the nearest integer?\nAnswer: 43365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*n - 538, -2*h + 127 = -4*n + 5*n. What is the remainder when 527 is divided by n?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**2*f**(-1\/5)*f**(-5\/6) assuming f is positive.\nAnswer: f**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30 + 6\/(-27)*3. Let w = -29 + f. What is the smallest value in w, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/4288977 and -13\/5718636.\nAnswer: 17155908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 395, 839, 1471, 2297?\nAnswer: 3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15833\/280 - 283\/5. Let l = 2203\/168 - u. What is the common denominator of l and -53\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 8. Let x be d(-4). Suppose v = -3*v + 2*i + 16, -4*v = x*i + 8. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13860 divided by 660\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*z + 7 - 109, -5*d + 90 = -5*z - 60 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2110205, -2110206, -2110207, -2110208, -2110209, -2110210?\nAnswer: -2110211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u - 519 = -6 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*z - 364 = 850 + 436 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17953352243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -148, -161, -178, -199, -224, -253?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -21, 2, -6, -39 in decreasing order.\nAnswer: 5, 2, -3, -6, -21, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 3. Let m(d) = -d + 1. Let f be ((-16)\/4 - -8) + -55. Let b = -49 - f. Calculate b*m(q) + t(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-8)*444\/185?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:32 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.08 - -0.32. Let r = -0.4 + o. What is the third smallest value in r, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 + 168 + -5 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 58 = -29*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/10*36\/14 - (-42)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3 (c) 2 (d) -26.78 (e) 1\/2231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-102)\/4 + 9\/(-18). Let w be 16\/40 + o\/(-10). Solve -4*m = y - 18, w*y + 4*m - 19 = -m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.941 - 0.059. What is the nearest to -1\/2 in -1\/2, b, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -5. Let j be -41 - -38 - (-3 + (2 - -1) + -59). Suppose j = -14*s + y*s. What is the greatest common divisor of 84 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/60)\/(((-30)\/25)\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 3*z + 2*z - 7*z + 1.\nAnswer: -2*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/24072*-6*(400\/175)\/(-8)?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165 + 364. Let a = 198.8 - t. What is the second biggest value in -2, a, 5\/2, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 41, 49?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 - -7.6. Let g = -11.98 + p. Let z be 3 - (-17)\/(-4) - (3 - 4). Which is the closest to 0.1? (a) z (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 3, f: 3, h: 7}. Give prob of sequence ohfw.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-42)\/(-872)) - (-4)\/14. Let i be ((-66)\/180 - (-4)\/(-30))*116. Let z = i - o. Solve r = -2 + z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*y + 3*c, 2*y = -5*c - 18. Is y\/((-2)\/(-2))*319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 11*m**2 + 4*m - 8. Give v(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12109, -12200, -12413, -12808, -13445, -14384?\n\"Answer: -10*l**3 - l**2 - 18*l - 12080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:24 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h + 3. Let v be b(3). Let j = v - -16. Calculate the greatest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20857 is divided by 94.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, a: 1, n: 3}. What is prob of picking 1 a, 2 n, and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(833) + (sqrt(833) + -1 - sqrt(833)) + -2 - (sqrt(170)\/(sqrt(30)\/sqrt(3)) + (1 + sqrt(17))*-5)**2).\nAnswer: -305 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 13976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157.157 decades to years.\nAnswer: 1571.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 3d3?\nAnswer: -3dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 43. Suppose 175 = w + u*w. Let s = 36 - w. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 244998 - 76886 = 0. What are the prime factors of 108\/126*u\/6?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328229 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5412*k**3 + 50*k**2 + 5*k - 39. Let u(o) = -12*o**2 + 2*o + 2. Let z(v) = r(v) + 4*u(v). What is the second derivative of z(c) wrt c?\nAnswer: -32472*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciciiscssciicci. Give prob of picking 1 i and 1 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -17*s + 439. Calculate p(24).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*p - 4*b - b, -p = 3*b - 11. Solve -20 = -5*v + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(252)\/sqrt(300)) + -6*-3*sqrt(21))\/(-6*-5*(sqrt(3)*3 - sqrt(3))).\nAnswer: 47*sqrt(7)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(sqrt(117)*-3)**2 + 4.\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 61*u**2 + 20*u + 100. Calculate p(-6).\nAnswer: 2176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**5 - 9*j - 3. Let d(p) = 11*p**5 + 9*p + 4. Let f(c) = -3*d(c) - 4*r(c). What is the second derivative of f(l) wrt l?\nAnswer: 220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/10)\/((-2)\/4). Let q = i + 6. Suppose 4*a = -2*u + u + 152, u - 4 = 0. What is the remainder when a is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -752 divided by -4.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 7:04 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -da1c (base 16) to base 14\nAnswer: -164c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/17777?\nAnswer: -2\/17777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1978 - 1970. Solve -3*v = -3*j + 18, j + 8 = -5*v + m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5231433*o**4 - 2012626*o wrt o.\nAnswer: -62777196*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 - 19608*u**2 - 32019855*u + 64118166 = 0.\nAnswer: -3269, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2465 - 808*w**3 - 819 - 820 - 826.\nAnswer: -808*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4406470 - -4207883.1. Let k = t - -198577.08489. Let y = 9.82 + k. What is y rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 189, 919, 2145, 3873, 6109?\n\"Answer: m**3 + 242*m**2 - 3*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*b + 29*b**3 + 24*b**3 + 24*b + 45*b + 113*b.\nAnswer: 53*b**3 - 92*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (5 + 4 + (-39 - -21))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -403, -833, -1273, -1729, -2207, -2713, -3253, -3833?\nAnswer: -4459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48834\/4*(-408)\/(-918)?\nAnswer: 2, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -842 - -837. Let u = -11.5 - -12. Which is the closest to 3? (a) w (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199829840 divided by 5?\nAnswer: -39965968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 868 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0299791662 to 5 decimal places.\nAnswer: -0.02998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 - -8) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*b - 3*b - m, -8 = -4*m. Suppose 0 = -2*p + b*p - 5*t - 32, 3*p - 5*t = 46. Suppose 0 = p*d - 4*d - 159. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**10*i*i)\/i)\/i*i**19)\/(i\/(i*i*i**(-6)))**(-9\/5) assuming i is positive.\nAnswer: i**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 2 - -3 - -6. Find the first derivative of -3*f**q - 12 - 7*f**3 - 2 wrt f.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/377*2067\/159.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l**2 - 24*l + 80. Let m be q(-23). Let x be (1 + 11249)\/(9\/m). What is x rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/10223 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32359 - 32361. Let v(y) be the third derivative of y**5\/60 + y**4\/24 + 2*y**2. Let j(q) = -3*q + 9. What is r*v(h) - j(h)?\nAnswer: -2*h**2 + h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1212201 (base 3) to base 5\nAnswer: -20434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11600568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40110 + -103?\nAnswer: 40005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n + 97 = -50 - 83. Let b(p) = 5*p. Let k be b(4). Solve -8 = -h + x + x, -2*h - k = n*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257341, -259414, -261487?\nAnswer: -263560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -124 (b) 141 (c) 2\/11 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -34*(-3)\/6. Let h = 11 + g. Let b(l) = -5*l**3 + 3*l**3 + 84*l - 80*l. Let a(u) = 4*u**3 - 9*u. What is h*a(t) - 7*b(t)?\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 1, q: 9, f: 2, m: 2, i: 1}. What is prob of sequence qtdt?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 27*a**2 - 139*a + 20. Let r be t(-20). Suppose 2*w = -r*m - 4*m + 680, 4*m = -4*w + 672. What is the highest common factor of 129 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -3*u + u - 3*g, -2*u + 5*g = 38. Let s = u - -40. Factor -7*t - 3*t**2 + 2 - 5*t + s*t**2 + 2*t.\nAnswer: 2*(t - 1)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-7*j**3 - 8*j**3 + j**3).\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9194 is divided by 240?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5588?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*f + 65, -4*a + 18 = 2*f - 46. Put 1, a, -3, 5 in decreasing order.\nAnswer: a, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1508057 (base 9) in base 2?\nAnswer: -11001011010000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Suppose -r - p = r + 5*z, 5*z + 6 = -r. Let k be (r\/(-3))\/(4\/12). Put -0.5, k, 1\/4 in descending order.\nAnswer: 1\/4, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1\/4*w**4 + 0*w - 2*w**2 + 5\/6*w**3 + 0. What is the derivative of z(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5854710658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(343)*2 - sqrt(343)) + (sqrt(343) - (sqrt(343) + 1 + 5)))**2*-6.\nAnswer: -2064 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - u = 19, 3*h - 6*h + 4*u + 41 = 0. Solve h*d - 2*d = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 421031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1800))*-4 - sqrt(1800)) + -2.\nAnswer: -150*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/14 + 23*o**6\/20 - 57*o**5\/8 + 85*o**4\/4 - 32*o**3 + 24*o**2 + o + 349. Determine u so that k(u) = 0.\nAnswer: 1\/2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*k - 48, -5*k + 45 = 29*o - 24*o. Let r be ((-18)\/(-108))\/((-2)\/o). Which is smaller: -7\/4 or r?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -68881243 and 40498.82.\nAnswer: -68840744.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-21))\/((-8)\/(-72)) + -1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 27*r = 15*c - 50, 3 = 2*c + r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(80)*1)\/sqrt(10) - (sqrt(2) + sqrt(72) + 1 - ((1*(sqrt(2) + 1))**2 + sqrt(2)))*2) + 2.\nAnswer: -10*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 1510. Let i = s + -173. Let z = 250 - i. Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-63)\/12)\/(-7)*(-40)\/(-6). Suppose 2*y + 14 = 6*g - 2*g, 5*g = -4*y + 11. Let m(r) = 3 - g + 4 - 3. Let w(u) = u + 3. Calculate s*m(l) - w(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 9. Let o(w) = -8. Determine 3*l(f) - 4*o(f).\nAnswer: -3*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1189*v = 931 - 4498. What is the common denominator of (-15)\/(-6)*14\/(-59) and v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 919796 less than 919802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 36.9184?\nAnswer: 41.9184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 569 - 561. Find the second derivative of 108 - 32*g**2 - 54 - 52 - j*g + 15*g wrt g.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 5 = -26*i. Let b(w) = -w + 5. Let y be b(4). Let z be ((-1)\/i + y)\/((-4)\/10). Let m(s) = -s**3 - 4*s**2 - 1. Calculate m(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405520 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 9 = -40*i + 28*p - 7, 4*i = -4*p - 28 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:56 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from ijjbjxt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10443204 and 4.\nAnswer: 10443204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 5, 4360 in decreasing order.\nAnswer: 4360, 5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 4*d - 4. Let w(s) = -6*s**3 + 11*s + 11. Let c(h) = 8*u(h) + 3*w(h). Let f be c(-1). Let g be 16\/(-64) - 26\/(-8). Sort g, -1, f.\nAnswer: -1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159731.27351 less than 0.2?\nAnswer: 159731.47351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x + d - 726, 345 = x - 4*d. Suppose 5*i - i + 5*u = x, 0 = 2*i + u - 173. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggagggbbbggrabggabr. What is prob of sequence ggb?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 796 - 173 - 175 = -21*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 1, m: 3}. What is prob of sequence mrm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.401, 5, -143 in ascending order.\nAnswer: -143, 0.401, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59952 + 59671.49. Let o = 282 + d. Round o to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3002 and 31730?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*f = 35, -3*o - 3*f = o - 23. Suppose -4*w + 2*h = -58, 71 = 3*w + o*w - 4*h. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -4, 12, 2317, 4, 3 in increasing order.\nAnswer: -7, -4, -2, 3, 4, 12, 2317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15013 = 273*p - 22657 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110.44 - -110.24. Which is the third smallest value? (a) -1 (b) 3 (c) u (d) 1\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1)\/((-18)\/(-3))*-15. Solve 5*k - v = 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6136 is divided by 1534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 times -8.5968?\nAnswer: 46.42272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + -0.47. What is the biggest value in 0.3, c, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 12304*v\/3 - 24604\/3.\nAnswer: -(v - 12302)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -6*r + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680701.6 millilitres in litres?\nAnswer: 680.7016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*s**2 - 123*s**2 - 26*s**2 - 55*s**2.\nAnswer: -317*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(9)\/(sqrt(9)\/sqrt(3)))**2*-5 - (((sqrt(27))**2 + 1 - sqrt(3)) + (2 + (sqrt(3) - (sqrt(3) + 3)))**2).\nAnswer: sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1263?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (250396\/(-44) + 2 - (-14)\/(-77)) + 2. Which is smaller: t or -5689?\nAnswer: -5689","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, d: 5, c: 1}. Give prob of sequence dcdd.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -345 + 7?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -8 (c) 18.8 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.8. Let g = 2.4 - 2. Let w = g + -0.6. Which is the second smallest value? (a) 1\/4 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + j + 14 = -9*t, 3*j = -2*t + 9. What is the least common multiple of 81 and t?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 + 53172*r**2 + 5222304*r - 33248880 = 0. What is r?\nAnswer: -13194, -105, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3 = -z. Suppose z = -3*a - 9. Let q(c) = -c - 4*c**2 - c + 3*c**2. Give q(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12063 and -9?\nAnswer: -108567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 4*g**2 - 4*g + 4. Let a be y(-4). What is the units digit of -1 + (-1)\/((-2)\/a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/4)\/3*-1)\/(1\/28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -41, -77, -129, -203, -305?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20))\/((-22)\/165).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neg when three letters picked without replacement from {g: 1, e: 1, w: 2, j: 4, r: 1, n: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000586 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 - -0.56. Let n = -1.7 + 8.7. Let j = -11 + n. What is the closest to -2 in j, 1\/7, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 6}. Give prob of sequence aaaa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - k**4 + 2 + 5*k**4 - 2*k**4 + k**4 + (-2 + 10 + 1)*(-3*k**4 - k**4 + 3*k**4).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(41\/210 + 3\/(-18)). Suppose 2160 = b*o - 32*o. Suppose 0 = 7*g - 771 - o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (56\/(-6))\/((-30)\/45). Suppose -266 = -9*b - h. What is the highest common divisor of 91 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i + 0*i - 6*i + 8*i**2)*(-5*i - 7*i + 2*i) to t*i**2 + w*i**3 + k*i + s and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 25, -s + 1 = -a - 6. Suppose -5*r + 235 = s*k, -2*k + 235 = 5*r - 3*k. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 4, -5, -3\/7, 1\/46?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (141\/3)\/(((-120)\/(-180))\/((-1)\/(6\/4)))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/26 - 696\/(-39). Let a be (107724\/(-18))\/((-40)\/t). Let q = -2690 + a. What is the common denominator of q and 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 7*n - 5. Let s(b) = 0*b + 2 - b - 7 + 4 + 2*b**2. Calculate the remainder when s(3) is divided by q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 2*v - 3*v)*(5 - 1 - 2) + 12296 - 12296 - 1269*v.\nAnswer: -1265*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ppuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(12\/29) - 1\/(-6). Solve -4*l + v = 13, -2*v = 3*l - t*l - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*x - 8*x. Calculate the smallest common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17141850487993.40000061 - -17141854487319.5. Let s = d - 3999326. Let m = s + -0.1. What is m rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479920.8 centuries to decades.\nAnswer: 4799208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 842.2 - 841.8. Let k be 8\/5 - 2 - 0. Which is the fourth biggest value? (a) y (b) -43 (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*v + 70773 = 88827 for v.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/16 + -3 + (-261)\/4. Let p = -71 - l. Let x(b) = 5*b**2 + 10*b + 26. What is the hundreds digit of x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 794 + -565. Let s = h - 35. List the prime factors of s.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 123*v - 1806. Calculate s(13).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((5\/(-3))\/(-5))\/(2 - 5\/3). Solve -2*g + 2*k + 2 = 0, 4*k = -18*g + 19*g - j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30850, 30854, 30860, 30868?\n\"Answer: w**2 + w + 30848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = t - 3*t - u, -12 = -t - 3*u. Suppose 3*o - 5*l = 25, -2*o = -t*l - 2*l - 25. Solve 3*q + 5*g = -3, o = q + 3*g - 2*g + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 924 divided by 12\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117368586 and 3.\nAnswer: 117368586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p - 513 = -65*p. Does 92 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.956019832 from -0.5.\nAnswer: 0.456019832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64408781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.083 in 1, -2, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 77 * -45542\nAnswer: -3506734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 288, 202, 116, 30, -56, -142?\n\"Answer: -86*m + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*o - 4*r, 22*o + 82*o + 4*r = -40*o + 18*o - 622 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 12*x + 20. Let k(v) = 110*v - 2209. Let s be k(20). Give h(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8*v - 8 = 0. Suppose 2*g + v*g = 30. Suppose -g*x = 5*s + 4999975, 2*s - 3*x = 4*s + 1999985. What is s rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z + 8. Suppose 0*t - 20 = -t. What is the remainder when f(-10) is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -1 + (-6 - 6 - (-14 + 7)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/9)\/w)**12)**(-3\/29))**(-27) assuming w is positive.\nAnswer: w**(-756\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z - 1. Let c(b) be the second derivative of 2*b**3\/3 - 1170*b. Give -5*c(y) - 2*u(y).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**2*u**3 + 270*q**2*u - 171*q*u**3 - 5*q wrt q?\nAnswer: 6*u**3 + 540*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/((-6)\/45). Let i(h) = -h**3 - 11*h**2 - 4*h + 128. Let p be i(-9). Solve -y*o + p*o = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -27*d**2 - 6920*d - 2825. What is z(-256)?\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7238989 a multiple of 1103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 4 = -3*w. Let s(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 5*a**2\/2 - 2*a - 1. What is the remainder when 34 is divided by s(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2, -1, 680, 7121 in increasing order.\nAnswer: -1, 0, 2, 4, 680, 7121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 6 - 27 = 30*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 304859 + s + s**2 + 304860 + 0*s**2. Let k(d) = 3*d**2 + d + 3. Calculate 3*c(u) - k(u).\nAnswer: -3*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 5*g**2 + 4*g + 4. Let d be f(-4). Suppose -5*k + 5 = 4*y, d*k - 4 = -2*y + 3*y. Solve 5*h = k + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 882\/(-196)*(-4)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 20*y**2 - 115*y + 70. Let n(g) = -g**2 + g + 1. Suppose 21*m = 30*m - 225. Let q(k) = m*n(k) + a(k). Factor q(w).\nAnswer: -5*(w - 1)*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*a - 3*a + 4*a) + 4*a + 3*a - 2 - 5*a.\nAnswer: 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34567644.794 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13944 = -90*o + 6*o. Solve -5*b - o = -191 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 - 7*b + 3. Let d be c(-7). Let r = 0 + d. Solve -r*n + 6 = 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -23*q + 1169. Let m be z(49). Solve -6*w - 60 + m = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 122. Let c be 1\/t - (-84)\/36. Suppose k**3 + 366*k**2 - 365*k**c - 2*k**3 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 73*s**2 + 4 - 56*s**2 - 49*s - 18*s**2. Calculate the smallest common multiple of 271 and j(-49).\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -878*f**3\/3 - 654*f**2 + 18*f - 2. Find the first derivative of w(t) wrt t.\nAnswer: -1756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 53*r - 265, 5*r - 2287*n - 25 = -2292*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -110 in 6\/5, 0.05, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-165)*-9*20\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-5*48\/40. Let j be x\/(-4) + (-6)\/2. Suppose j = 2*w - 3*u - 71, 4*w = 3*u + 85 + 48. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 - 111 + 212 - 331*q as m*q + g and give m.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19559 = -1064*w - 5977 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 188 = -o. Let h = o - 116. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-95)\/(-30) - 3)\/((-2133)\/(-12)). Let j be (127\/(-6))\/(1422\/(-1646)). Let k = j - p. Find the common denominator of 1\/20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.7 - 70. Put 0.4, n, 0.04 in decreasing order.\nAnswer: 0.4, 0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((3 - 4)*2). Let c be 10 + -8 + (2 - a). Solve -4*h - 17 = -c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 21 - 0. Solve -q - 16 = r*c, 9 = -2*c - 5*q - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -657 (base 8) to base 16.\nAnswer: -1af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 2*v + 0*v**2 + 0*v)*(-v**2 + 5*v**2 - 2*v**2) - 4*v**4 + 0*v**4 + 5*v**4 to h + d*v + c*v**3 + m*v**4 + s*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*a - 96 - 120. Solve -3*f + 3 = 3*o, -2*o - 4*f = -8 - a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(32)\/sqrt(4)*5) - (sqrt(270)\/sqrt(6) + (sqrt(25)\/sqrt(45) - sqrt(5))))*6*6.\nAnswer: -384*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkvkvvvkk. What is prob of picking 2 v and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19adb (base 15) to base 16\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {g: 1, q: 1, r: 2, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133 + (1 - (-3 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 3*b**2 + 2*b + 4. Suppose 6*y - 10*y + 12 = 0. Let c be i(y). What is the first derivative of 10*j**2 - c*j**2 + 1 + 9*j**4 wrt j?\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 plus 16364.4?\nAnswer: 16412.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 0) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 14) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 29. Let d(z) = z**2 - 10*z + 13. Let f be d(n). Solve t + f = -2*v - 1, -v = -4*t + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2386076 rounded to the nearest 10000?\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1331 - -41?\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 48. Let d(u) = -2*u**2 + 3*u + 71. Let k be d(13). Let o = 241 + k. Calculate the remainder when a is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - r - 3*r**2 - 3*r**2 + 2*r**2 - 2 + r**2 to z*r**2 + d*r**4 + g*r + b*r**3 + y and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -4*q + 31. Let h = 31 + q. What is the greatest common factor of h and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*y - 2, 4*y + 0*m = 4*m - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 399717 and 107?\nAnswer: 399610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20116508\/15 bigger than 1341100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 8, 8, 14, 26, 44?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -51. Let l be (-9)\/(-6)*(0 - 22). Let w = m - l. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8240.4 to the nearest 10.\nAnswer: -8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 29?\nAnswer: -50\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 8) in base 5?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - 9 + 9)*(7*f - 8*f - 5*f) to the form h*f**2 + c + l*f**3 + i*f and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.65 (b) -167 (c) 13 (d) 5 (e) 1 (f) -2 (g) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/7 or 2\/3399?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, t: 2}. Give prob of sequence tg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 9. Let v be 6*(-3)\/2 + 1. Let h be p(v). What is the third derivative of 0*x**4 + 2*x**2 - h*x**2 - 6*x**4 + 3*x**4 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 11 = -2*a, 3*b - 6871662 = -4*a - 6871645 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*t - 65, -b - t - 319 = -340. Solve -b*g + 6*g = -50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1808 and 368.\nAnswer: 41584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2 + 3)*(4 - 4 + c) + 2*c - 3*c - 2*c)*(-4*c**2 + c - c) to the form b*c + o*c**2 + m + s*c**3 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11*d**4 - 7*d**2 - 9*d + 7. Let f(v) = 5*v**4 - 3*v**2 - 5*v + 3. Let w(o) = -7*f(o) + 3*p(o). Find the second derivative of w(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8832, -8834, -8836, -8838, -8840?\nAnswer: -8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 7*q**2 + 5*q - 4. Let i be p(-6). Factor -4*b**2 + 11*b**i - 13*b**3 + 4*b**3 + 3*b**2 + 2*b**4 - 3*b.\nAnswer: b*(b - 3)*(b - 1)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346062773.\nAnswer: 7, 83, 223, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*44\/242.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 27. Let g(z) = -z. Calculate 5*g(x) - v(x).\nAnswer: 2*x + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 = -7*z + 4*z, -3*g - 44 = -2*z. Let t = 27 - 12. Calculate the remainder when (8\/g)\/((-2)\/84) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 47856?\nAnswer: 239280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -21*y + 58. Give z(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -44, 0.4, -4, -130, 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 18 = 3*p + g, -2*p - 5*g + 12 = 0. Suppose 5*s - 95 = -5*z, -z - z = p. Is 22 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by -2 + (-2)\/(((-24)\/(-376))\/(9\/(-6))).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*m + 5 + 3, 2*s = m - 6. Suppose h + 674 = m*h. Suppose -f = -5*f - 3*b + 2788, f - 5*b = h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4 + 7 + 0*u + 8*u. Let l be s(3). Suppose -3*w = -3*p - 27, w - 4*w + 5*p = -l. What is the least common multiple of 6 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2. Let z(h) be the first derivative of -22*h**3\/3 - 55. Calculate a(z(m)).\nAnswer: -2420*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7581000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 8 = g, 24 - 33 = -g - 4*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37.589, 25, -4, 1 in descending order.\nAnswer: 37.589, 25, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**3 - 3*b**2 - 5*b. Let n(x) be the second derivative of -x**5 - 2*x**4\/3 - 7*x**3\/3 - 669*x + 2. Let j = -6 - 8. Determine j*c(p) + 5*n(p).\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = 20*q - 105 + 447 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 16) in base 9?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1354, -2794, -4242, -5698, -7162, -8634, -10114?\n\"Answer: -4*x**2 - 1428*x + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 13 = 8*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*p + 24, -2*p = -10. Let t(b) = -b**3 - 4*b**2 - 5*b - 5. Let v be t(o). Let y = -11 + v. Solve -4*h = -2*h - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 269.1 - 269. Which is the closest to s? (a) 2 (b) -6\/7 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -29. Suppose 10*n - 14*n = -d. Let l(f) = -5*f - 1. Let b = 5815 - 5812. Let o(g) = 14*g + 3. What is b*o(h) + n*l(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaa when three letters picked without replacement from iiaiiiiiiiaiiaaiiii.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 12:41 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25858 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 24*t - 16. Let s be r(13). Let g be (-4)\/10 - (-664)\/s. Suppose 67*n = g*n + 5. Solve 12 + 8 = n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -0.343, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/sqrt(5))\/(1*sqrt(256)).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 88\/(-462))\/(4\/6). What is the fourth smallest value in -0.3, h, -1\/3, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1. Let r(v) = -19*v - 5. Let a be 6 - 13 - 12*(-2 - -1). What is a*z(g) - r(g)?\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 55*a**3 + 15*a**2 + 1119*a + 15. Let c(b) = -7*b**3 - 2*b**2 - 160*b - 2. Determine -15*c(f) - 2*i(f).\nAnswer: -5*f**3 + 162*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 217*s + 216*s = 7, 0 = -l + 3*s - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*(40\/(-260))\/(10\/(-65))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 405 - 402. Let f(x) be the second derivative of 1\/6*x**3 + j*x + 5\/2*x**2 + 0. What is the derivative of f(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 8656*j\/9 - 8662\/3.\nAnswer: 2*(j - 3)*(j + 4331)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -121 - (116 + -8 + -270)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -263*i + 5*i**2 - 1107 + 478 + 523 = 0.\nAnswer: -2\/5, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 435 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*a*c**3 - 427*a*c**2 + 347443*a*c - 2*a + 2*c**3 - 1027*c**2 + 2*c - 2 wrt c.\nAnswer: -102*a*c - 854*a + 12*c - 2054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9891080 divided by -1978216.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*z - 18 = 0, -l = -3*z - 3 + 7. Let n(o) be the second derivative of -1\/3*o**4 + 0 + 0*o**3 + 5*o + 2*o**l. What is the derivative of n(k) wrt k?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3414341322 (base 5) to base 6.\nAnswer: 430203311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -356538 to the nearest one thousand.\nAnswer: -357000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 2.5. Let f = 420 + -427. What is the nearest to i in f, 2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5823384?\nAnswer: 2, 3, 7, 17, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41 + -0.21. What is the nearest to 0 in 5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 3010.\nAnswer: 21070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Let b = -1 - -1. Suppose w + t - 5 + 3 = 0, -3*w - 4*t + 6 = b. Solve w = x + p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 divided by -77?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.5. Let l = 0.17 - 0.07. What is the nearest to -0.3 in h, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {f: 12, t: 1, b: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*k + 34, 2*k - 43 + 57 = -4*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 2*j**2 + 7*j - 6. Let r(s) be the first derivative of 3*s**4\/4 + 2*s**3 + 10*s**2 - 17*s + 10. What is -17*l(w) + 6*r(w)?\nAnswer: w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 26*m - 72 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 453, -2, -0.1, -5\/97?\nAnswer: -5\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 259*k + 3104. Calculate j(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - 7*v - v**2 + 14*v + 2*v**3 to the form g + h*v**3 + a*v**2 + t*v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 4. Let n(t) = -7*t - 8. Let b(y) = -9*m(y) - 4*n(y). Let r be b(6). Solve -3*o - 2 = -5*f, 4*f - r*f = -o - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + u - 35 = -0, 2*u = -2. Calculate the remainder when 34 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72799229 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - (5 + 2)) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2008*l**2 - 1981*l**2 + 6*l + 4 + 4*l**3 + 4014*l**2 - 5. Give w(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 13*h**4\/24 + h**3\/2 + h**2. What is the remainder when o(4) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10. Suppose 6 = w + 3*g - r, -3*w + 18 = 3*g. Suppose 3*p - w = 3. Solve -5*f - 20 = 0, 4*f + 36 = -u - p*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2. Suppose -6 = -3*i, d = 2*d + 5*i - 13. Let r(h) be the first derivative of -1 + 0*h - 1\/3*h**d + 0*h**2. Give y(r(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 5)*(-5*n + 2*n + 2*n) - 2*n + 0*n + 0*n - 6*n - 4*n - 5*n + 145 - 14*n - 145 to the form q*n + c and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -108*p + 107*p - 55, 0 = -d + 3*p - 15. Is d at least -0.072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19 + k**2 + 66.\nAnswer: k**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -49 (b) -1\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.419 - 2.6049. Round d to 3 dps.\nAnswer: -0.186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*d = 6, 0*o + 5*o - d - 15 = 0. Suppose 3*i + 31 = 4*w - 41, 5*i = -w + 18. Let k = w + -3. Solve -k = -o*y + 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.5746 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 38 = -i + 4*y, -2*i + 2*y = -52. Let v be -4 + -127 - (2 - 0 - 1). What is the least common multiple of 266\/11 + -3*(-8)\/v and i?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 75, 179, 325, 513, 743, 1015?\n\"Answer: 21*u**2 - u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Let s(y) = -y**2 - 5*y + 1. Let r be s(-4). Suppose r*k + g - 30 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 13*v**2 + 3*v - 22. Let o be n(13). Let k = 32 - o. Suppose 5*g + 0 = -k. Let t(w) = -w - 4. Give t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70886105 is divided by 236287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -8 - (0 + -2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -10. Let o be 3*(-16)\/(-12) - c. Solve 3*k = g - o*g - 9, 3*g = -2*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/((-2)\/6). Let r = q + -2. Let u be r - 1\/((-2)\/6). Solve w - 4 = -3*g, u*w - 2 = -3*g + w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/170942867 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:20 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*o + 4*o**2 + 206*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20907 divided by 6969.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -141*l - 1. Let n(r) = -r**2. What is h(n(f))?\nAnswer: 141*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(54)\/(sqrt(8)\/sqrt(64))*2 + -1 + sqrt(297)\/(-1*sqrt(22)\/sqrt(2))).\nAnswer: -3 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let i = 8 - 5. Let n(m) = 2*m**2 - m. Suppose 6*j - 2*j - 4*v - 16 = 0, 2*j - 3*v = 10. Determine i*u(h) + j*n(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 29*c**2 + 26*c - 73. Give k(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.7 + 97.9. Let j = c + -89. Sort 1, -3, -0.01, j in decreasing order.\nAnswer: 1, -0.01, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3910636 and 73\/164466.\nAnswer: 35195724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -17, -48, -91, -146?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549772 divided by 1.\nAnswer: -549772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36292*b**4 + b**3 - 4*b - 1490013 wrt b.\nAnswer: 145168*b**3 + 3*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*v = -16, 2520*q - 2523*q + 3*v = -12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9992000 to the nearest one hundred thousand.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78843 + -78838. Factor 202\/13*x - 50\/13 + 212\/13*x**3 + 2\/13*x**o - 308\/13*x**2 - 58\/13*x**4.\nAnswer: 2*(x - 25)*(x - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7200150 divided by 1200025\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 + -1)\/((-2)\/2). Let w = o + 21. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let p = -6 - 2. Let g(u) = -9*u + 5. Let x(y) = -14*y + 8. Let i(l) = p*g(l) + 5*x(l). Determine b(i(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/38 and -0.09 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.0329 (b) -0.102 (c) 0 (d) 0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3273, 6601, 9931, 13263?\nAnswer: 16597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 1 + 94. Let q = k + 25. Let m = q - -20. Calculate the lowest common multiple of m and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 = -4*j, 7*f - 5*f = -2*j - 16. What is the nearest to f in -1\/4, 2\/7, 3, -0.06?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**3 - 6*y**2 + 5*y - 3. Let f be w(6). Let g = 1808 - f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-224)\/2)\/(-27 + 25). Calculate the greatest common factor of 448 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2, 376, -12 in decreasing order.\nAnswer: 376, 2, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2054839*a*f*i**2*z + a*f*i + 11*a*i**2*z + 2*a*i*z + 482*a*z - 2*f*i**2*z - f*i + 2*f + 1397*z wrt i.\nAnswer: 4109678*a*f*z + 22*a*z - 4*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 653087. Let t(o) = 48*o. Determine p(t(s)).\nAnswer: -6912*s**2 - 653087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4879, -9779, -14681, -19579, -24467, -29339?\nAnswer: -34189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**5 + 329*z**4 - 56*z**4 + 1644*z**2 + 70*z**4 wrt z?\nAnswer: 120*z**2 + 8232*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(-1 - 16705*t + 17451*t - 1).\nAnswer: 2238*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - y + 3*y)*(4*y + 5 - 5) + 2 - 2 + y**2 in the form v*y**2 + t*y + h and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t - 34 + 10. Let k(w) = -28*w**3 + 2*w - 3. Let l be k(t). Round l to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2 (c) 1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.072 - -34. Let u = -3.072 - v. Put -0.2, 4, u in descending order.\nAnswer: 4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226.02 times 331.4\nAnswer: 74903.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368994 and 534?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t**2 + 4*t**2 - 3*t**2)*(-t + 3*t + 0*t) + (-t + 0*t - t)*(2*t**2 - 3*t**2 + 2*t**2)*(-32 + 39 + 43))*(-3 - 3 + 5).\nAnswer: 104*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2179*t - 3971*t - 7149*t - 5463*t.\nAnswer: -14404*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 9811*o**4\/4 - o**3\/3 + 1321*o**2\/2 + 3980. Find the third derivative of h(r) wrt r.\nAnswer: 58866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*h + 4*h + 30*h - 9*h)*(4*h - h**3 - 4*h).\nAnswer: -53*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(8\/(-38)) + (-9)\/12. Let o = 4 + -4.4. Sort l, o, -1 in increasing order.\nAnswer: -1, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6200240 and 7191?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -640 times -8?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34\/9 in 1, -25, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 691 divided by 566\nAnswer: 691\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6208*w**3 + 15698*w**3 + 35338*w**3.\nAnswer: 44828*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 78\/(-52)*(128\/(-12))\/(-4). Solve 4\/9 + 2\/9*i**3 - 2\/3*i + 0*i**a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 + -15553?\nAnswer: -15522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + z**2 - 3*z**2)*(2 - 5 + 5) + 9 + 58*z + 2*z**2 + 108 - 57*z.\nAnswer: 4*z**2 + z + 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**3 - 31*s**3 + 66*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -634320*b**2 + 492543*b wrt b.\nAnswer: -1268640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*k**2 - 537*k + 537*k + (-3 - 3 - 4)*(k**2 - k**2 - k**2).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Solve -f - f = -u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 - 13*f. Suppose -6*q = 4*q - 110. Let u(k) = 3*k**2 + 7*k. Give q*u(o) + 6*m(o).\nAnswer: 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10222000 (base 3) to base 12.\nAnswer: -1809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/47825720 and 35\/80564.\nAnswer: 526082920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, e: 3, n: 6}. Give prob of picking 3 e and 1 i.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1827 + -1592. Let i = r + -312. Suppose -4*w + 69 = 377. Do w and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1610088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 0.2, -2, -9, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3*v**3 + 3249*m**2 + 422*m*v + 168767*v**3 - 2*v**2 - 11*v - 1 wrt m.\nAnswer: -3*m**2*v**3 + 6498*m + 422*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 207*w - 206*w - 2*a, 3*a - 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532165 is divided by 2075?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.8 - -10. What is the nearest to 1 in 14, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 35 = -15*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**2 - 5*k - 2. Let i be o(4). Put 1, i, -5 in descending order.\nAnswer: i, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/195? (a) -0.3 (b) -8\/19 (c) 1 (d) 2\/11 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three quarters of a millennium?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 30*k + 1185, 0 = 8033*k - 8031*k - 2*v + 86 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 12, s: 2, q: 3}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d6c - -1?\nAnswer: -7d6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 16 (b) -2 (c) -0.5 (d) 1 (e) 93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/8 + 2853*k\/8.\nAnswer: 3*k*(k + 951)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/5 (b) -0.01 (c) 1\/4 (d) 2\/15 (e) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 459*s**2 - 20*s - 150. Is p(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 5*v, 2*v = -2*x + 8. What is the third derivative of -v*c**2 - 11*c**6 + 4*c + 8*c**6 - 4*c wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 7*f + 267 - 267 + f + 67*f.\nAnswer: 2*f**2 + 61*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 126*q**3 - 9*q**2 - 15*q - 7. What is the tens digit of s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169 and -0.3.\nAnswer: 50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*c + 302*c + 4 - 859*c**2.\nAnswer: -859*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -95*g**2 + 18*g - 93. Let f(o) = 29*o**2 - 6*o + 31. Let z(q) = -17*f(q) - 6*t(q). Find the second derivative of z(d) wrt d.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 5. Let j(v) = -5*v - 6 + 0 + 10*v. Let z = 57 + -52. Calculate z*j(u) + 6*c(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 2*v + 3. Let q be (-5)\/(-10) + (-7)\/2. Give f(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -34 (b) 2\/23 (c) 1 (d) 2\/595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91923225 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 104.5789?\nAnswer: -20.91578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0534 and -0.06?\nAnswer: 0.003204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q - 251 + 57*q + 66*q - 26 - 176*q.\nAnswer: 2*q - 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + -4*sqrt(2299))**2.\nAnswer: -440*sqrt(19) + 36809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = u, -x + 11 = -0*x - 3*u. Is -1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:22 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/2 + 654*g**3 + 71286*g**2.\nAnswer: 3*g**2*(g + 218)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*-1*(sqrt(392) - (sqrt(392)*2 - sqrt(392)))**2*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -371639 * 3.02.\nAnswer: -1122349.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -38*h. Let n(a) = -15*a. Calculate 5*d(s) - 12*n(s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70756501?\nAnswer: 70756501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5*(sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872)*1)))**2 + 2)*-5 + -1.\nAnswer: -234136 + 3000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q\/(q*q*q\/q**(-2)*q*q*q*q*q))\/q)\/q))**(23\/5)\/(q*q**(5\/2)*q**(-9))*q**(-1\/4)*q\/q**2*q*q*(q*q*(q\/q**(1\/4))\/q)**(-2\/35) assuming q is positive.\nAnswer: q**(1227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 7, -36, -4, -2\/13, -16?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289536?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 2*k + 6. Let u be s(-6). What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988 is divided by 57?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1218\/(-105) - -11)\/(4\/5). What is the second smallest value in -0.1, 0.002, 5, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17247019?\nAnswer: 41, 317, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (269989996 - -2) + (11 + -5 - -6) + -10. Round s to the nearest one million.\nAnswer: 270000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 661\/88 - 95\/11. Suppose -3*d - 4 = 5. Find the common denominator of (58\/d)\/(40\/(-18)) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/972 and 61\/24.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 92.615 days?\nAnswer: 2222.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 441 + -439. Is h > 12\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*w - 117. Suppose 76 = q + 2*z, 4*q - 3*z = -0*q + 348. Calculate the greatest common divisor of q and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/216 and -59\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9917 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 83.39841 weeks?\nAnswer: 14010.93288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550, 1552, 3158, 5368?\nAnswer: 8182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 171. Let m = -136 + n. Let c = m + 148. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - 5. Let q = 98.5 + l. What is the second biggest value in -4, q, -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/11 + 10*n**3\/11 - 8*n\/11 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2471.029 - 2473. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25, 4, -4 in decreasing order.\nAnswer: 25, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 6*h - 8. Let n(m) = 3*m**2 + 5*m - 7. Let s(j) = -6*n(j) + 5*z(j). Let c(d) = 5*d**2 - 5. Let t be 11\/1 - 9*4\/6. Calculate t*s(b) + 2*c(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Let n be (-3 - (-40)\/12)*-1. What is the nearest to 1 in n, i, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -667 - ca9?\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 361*n - 422*n + 343*n + (-2*n + 5*n - 5*n)*(1 + 2 - 2) - n - 2*n + 2*n.\nAnswer: 279*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84661 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/47*(-789)\/2367.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18048 and 30.\nAnswer: 90240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 greater than -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 t when four letters picked without replacement from {t: 1, a: 1, m: 16}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 21*m**2 + 60*m - 784. Calculate r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -504 - -542130?\nAnswer: 541424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1773, 1775, 1763, 1731, 1673, 1583?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/9)\/p**(-1\/3))**(19\/5) assuming p is positive.\nAnswer: p**(38\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 6.1, 25.3, -38, -1\/2?\nAnswer: 25.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 46. Suppose u*x = -10*x + 2822. Suppose 5*b = 1564 + x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287169*m**2 - 287172*m**2 - 287178*m**2 + 861510*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 9. Suppose -20 = -6*n + n. Let g = n - z. Solve -6*i + i = -4*t + 33, -3*i - g = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-95)\/(-10))\/(2\/4). Calculate the remainder when g - -3 - (-1 - -3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 153 = -45. Is (-8)\/(-12) - (-18885)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22749969, -45499936, -68249897, -90999852, -113749801?\n\"Answer: 3*a**2 - 22749976*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-340))\/(12\/15)*(-84)\/(-63).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4893348, -9786698, -14680048?\nAnswer: -19573398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o + 2. Let q be w(-1). Which is the closest to -14? (a) q (b) 40 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzz when three letters picked without replacement from {u: 1, d: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8060.88 times 0.2\nAnswer: -1612.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22680135 divided by 58605.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.92 + 5. Let h = g + -3.08. Which is the smallest value? (a) 3 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 1) + 27\/3. Suppose -y = k + 3, y = c*y + 25. Solve -2*v + 8 = 3*j + j, 0 = -3*j - k*v + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 8.6. Let x = -11.011 + 0.011. Let p = j + x. What is the nearest to p in -1, 4, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0234 * -0.1\nAnswer: 0.00234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1833 + -1833. Put -4, -284, l in increasing order.\nAnswer: -284, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -567 by 21.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52869?\nAnswer: 3, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 911450?\nAnswer: -911467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 5. Let u be d(-8). Let f = -0.26 - -1.26. What is the second smallest value in u, -0.18, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -11\/8517710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + 7 + (3 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1272 = -18*q. Let s = 110 + q. Suppose -5*x + 33 = s*w - 275, -x - w = -61. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/5, 2\/3, -1.58, 53.17.\nAnswer: -1.58, -0.3, -1\/5, 2\/3, 53.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2410 + -714. What is the greatest common factor of 371 and v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**17\/((d*(d**(1\/2)*d)\/d*d)\/d*d*d)**(-2\/11) assuming d is positive.\nAnswer: d**(-173\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r**2 - 16 - 46 - 17 - 32.\nAnswer: -59*r**2 - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(2 + 35\/(-10)). Let r be -3 + (v - 2) - 2. What are the prime factors of r*12\/(-16) + 36?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220*u**3 + 91*u**3 + 42174 - 42174)*(-1 + 3 + 0).\nAnswer: 622*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1633548 divided by -544516\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 237 - -13352?\nAnswer: 13589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 821 and 7361252.3303.\nAnswer: 7362073.3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**4\/12 - i**3\/3 + 5*i**2 + 12. Let l(t) = -3*t. What is l(p(d))?\nAnswer: 6*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6 = 2*h, 0 = 2*o + 445*h - 446*h - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 7*z**2 - 15 + 8*z + 3*z**2 + 7. Let v be t(6). Solve v*y + 3 = 3*m, -2*m = m - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, n: 5, b: 6}. Give prob of picking 1 b and 1 q.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/(-288)*(-30)\/(-12)*2 and 101\/336.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/11, -7\/3 in decreasing order.\nAnswer: 0.3, 3\/11, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 540 = -4*s. Suppose -5*p + 42 = -s. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45891901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2946, 5728, 8390, 10932, 13354, 15656, 17838?\n\"Answer: -60*n**2 + 2962*n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**3 + 4*t**2 + 8*t - 4. Let v(l) = 7*l**3 - 3*l**2 - 7*l + 3. Let c(o) = -4*v(o) - 3*z(o). Find the second derivative of c(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 14 (c) -72.2 (d) -2 (e) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33207 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.4, -44, 4.06?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -40 and -2463\/61 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4884350 divided by 195374?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 21*s + 13*s**2 + s**3 - 18 + 12*s**2 - 2*s**2. Let u be j(-22). Solve 2 + u = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 103 - 9*d + 336 - d**2 - 76 as o*d + u*d**2 + s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 14 = a - 0*a, 0 = -2*t - 3*a - 9. Let l be (t + -1)*1\/(-2). Let j be -59*(13 + -4 - l). Round j to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87848*x**2 + 22929*x**2 + 20312*x**2 + 23821*x**2 to the form c*x + o*x**2 + l and give o.\nAnswer: -20786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310904 is divided by 6614.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmwwww. What is prob of sequence mwm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 446850 and 324?\nAnswer: 2681100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 23. Let s(n) = n**2 - 15*n + 10. Let x be s(r). Let p(m) = -3*m - 2. What is the tens digit of p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33354?\nAnswer: 2, 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-15)\/2)\/((-9)\/(-594)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583, -567, -551, -535, -519?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -11. Suppose 2*q + 14 = -2*j, 5*q - j + 77 = 24. Let c be (24\/q)\/((-3)\/(-45)*-3). What is the highest common factor of i and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 17, z: 3}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 759\/(-847) + 1 + 4\/(-14).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 22. Suppose 0 = 3*d - g*d + 147. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 26*g = -30*g + 10, 4*j = 4*g - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0139 - 0.0539. What is the second biggest value in 10\/11, 3, q, -0.4?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2061 or 2060?\nAnswer: 2061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.76265 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 269401 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 878.5873cm?\nAnswer: 8785.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 37*g**2 + 18. Determine l(37).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477145 (base 8) in base 9?\nAnswer: 1257330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 4*d - 1 + 3*d)*(-4 + 0 + 7 + (1 - 2 + 3)*(-4 + 1 - 12)) to z*d + l and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/84*644\/(-1518)?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3401*u + 23831. Let o be k(-7). Factor -57\/2*b + 15\/2 + 6*b**3 + o*b**2.\nAnswer: 3*(b + 5)*(2*b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5163983 milligrams to nanograms.\nAnswer: 516398.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 27 + 9. Suppose o = -2*f + 30. What is the remainder when 23 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 983 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11057 - -11151. What is the remainder when v is divided by 89?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1617, -1619, -1623, -1629?\n\"Answer: -p**2 + p - 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*16150\/57. Calculate the greatest common divisor of 51 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819 is divided by 2526.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 228259741 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.1, -2, -0.036?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 4. Let l(v) = -v - 1. Determine -4*l(m) - r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1395\/(-620))\/(24\/(-40))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 9.8. Let n = h + -4.2. Let a = -16 - -16.5. What is the third smallest value in -2\/3, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1113851?\nAnswer: 4\/1113851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -596 - -598. Which is the closest to 2\/9? (a) 1 (b) -3 (c) 5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125594381.\nAnswer: 11, 67, 170413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33300 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37588 - -57950. List the prime factors of z.\nAnswer: 2, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0147118568834 and 32.\nAnswer: 32.0147118568834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1470 and 43\/30.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -16*p**2 - 3*p + 4402. Let c(m) = 30*m**2. Give b(c(q)).\nAnswer: -14400*q**4 - 90*q**2 + 4402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207 and 27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10222*r - 11989*r - 55629*r.\nAnswer: -77840*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -28. Suppose 4*w = -x*w + 65. Let u be (-10)\/(-6) + (-1)\/3. Which is the third smallest value? (a) -0.5 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 1, r: 4, z: 1, j: 2}. What is prob of sequence hz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 59 - 16*j - j + 1 - 1 + (1 + 3 - 3)*(j - j + 2*j) - 2*j + 2*j + j)*(2*j**4 + 3*j**4 - 6*j**4).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w - 14. Let u be a(-5). Sort u, -3, 2 in decreasing order.\nAnswer: u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 52483331 = -532803331. What is w rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/6468*110*4\/10.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/2 - g**3 + 2*g**2 + 2*g + 14. Let v(x) = 2*x**3 + 4*x**2 - 5*x - 2. Give -5*s(k) - 4*v(k).\nAnswer: 2*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 8*g - 14. Let n be l(6). Let t(y) = -42*y + 4. List the prime factors of t(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 1, -695, 2 in decreasing order.\nAnswer: 7, 2, 1, 0, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 2.40594?\nAnswer: -2.90594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012814 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.006*1196314.\nAnswer: 7177.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 13 = 3*v, 8*v - 4*v = -5*l + 19. Let z be 1\/3 + 34\/v. What is the tens digit of ((-135)\/(-18))\/(z\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*h + 48, -3*i + 158 = -4*h + 3*h. Calculate the greatest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2 + 6*t - 9*t - 5*t. Let a be s(-8). What is the third derivative of -p**2 - 2*p**2 + p**a + 2*p**4 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4 - p**3 + 0*p**2 + 4*p**2 + p**2. What is the units digit of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1240)\/11718*-54*-14\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2137*g + 1. Let d(b) = -2156*b. Give 4*d(c) + 5*i(c).\nAnswer: 2061*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.063? (a) 5 (b) -103\/2 (c) 2\/17 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 48*y + 38. Let d be a(0). Solve -41*u = -d*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2\/5, 0, -230786 in decreasing order.\nAnswer: 0, -2\/7, -2\/5, -230786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + 5.9. Let j = 7.9999906 - r. What is j rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 12, -3*a + 15*i + 4 = 11*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a**4 - 5*a**5 + 2*a - 19268*a**3 + 25*a**2 + 68*a + 50*a**2 + 19203*a**3 = 0. Calculate a.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 48 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39255721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -264?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-84) - ((-11)\/3 + 3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2. Let u(d) = 2*d - 4. Let v(w) = -4*w + 10. Let y(c) = 10*u(c) + 4*v(c). Give y(s(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2 (b) 1 (c) -25 (d) -0.03 (e) 159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.4 (c) 18 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 48 + 5*s**2)*(-s + 3*s + 0*s).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15 - 4\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 7) in base 8?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/(-28) - (16\/(-7))\/8. List the prime factors of (-12)\/(-16) + 2489\/a.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -372 + 418.4. Let f = -95 + 135. Let m = j - f. Round m to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/44*(-850476)\/(-6443).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 429 = 1528. What is the tens digit of ((-832)\/(-52))\/((-2)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 6. Let k = -145 + 1017\/7. Which is the nearest to k? (a) -5 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0563 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 100. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94113*h**2 - 64913?\nAnswer: -188226*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6556\/(-33) + (-6)\/18. Let o = j + 207. Solve 0 = -6*w + o - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0011 + 0.3.\nAnswer: 0.3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -4, -3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.7 + 7. Let b = t + -0.1. Sort b, -3, -4 in ascending order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 120. Let j be c(-22). Solve 0 = h + h + j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z\/z**(-4\/5))*z)**4*z*z\/(z*z**(1\/9))*z*z**(-8)\/z*z*z assuming z is positive.\nAnswer: z**(-194\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 213*c - 36. Let h(k) = 106*k - 21. Determine 5*h(x) - 3*q(x).\nAnswer: -109*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -23. Suppose k = -13*d + 6*d. Solve -3*n + i = 7, -4*i = -d*n - 4*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 14. Let d be s(14). Let x be (((-45)\/20)\/9)\/((-16)\/12). Is x greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 6*h - 5. Let f be m(7). Let t be 4\/f - (0 - -6). What is the units digit of (-12)\/6 - 3*t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 19*z + 14. Calculate q(17).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j**3 - 1126 wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1049 + -957. Calculate the remainder when 176 is divided by f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6069 - -6072. Solve 5*c - 10*c + v*l - 20 = 0, 0 = 5*c + 2*l + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 - 222 - 675 = 101*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let v = -407 - -409. Let p(g) be the third derivative of -1\/60*g**5 + 0*g**3 - 7*g**v + 0*g + 0 + 0*g**4. Give u(p(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o - 3*m - 9, 0 = 4*o - m + 10. Let r be 1 + o - (-35)\/14. Determine d so that -1 - 3\/2*d - r*d**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 95. Let f be ((-24)\/h)\/(2\/(-10)). Let w = 5 + f. Is 0.08 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -71517.3545.\nAnswer: -71517.3945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2 = -3*j, -1478*j + 56 = 8*d - 1474*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w - 2*w)*(-11*w + 21*w**2 + 11*w + (0 + 2*w + 0)*(-4*w + 3*w - w)).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162) + (-2*sqrt(162))**2)*1 - (sqrt(162) + (sqrt(162) - (sqrt(162) + 2)**2)*2).\nAnswer: 63*sqrt(2) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*o + 150*o + 184*o + 135*o + 224*o.\nAnswer: -109*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, 7, 28 in ascending order.\nAnswer: -2\/5, 4, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 442661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdcddcddrccddddecu. What is prob of picking 1 d and 1 c?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37957 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 66823 to the nearest one thousand.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14\/3 (b) 1\/7 (c) 43 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m + m)*(m**3 + 2*m**3 - 4*m**3) - 2*m**5 - m**3 + m**3 - 6 + 20 - 10*m**5 - 3.\nAnswer: -14*m**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.2, -98, 0.3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 80*z - 3 = 81*z, -4*a + z = -13. Let w(r) = r + 4. Let p(y) = y. Determine a*p(f) + w(f).\nAnswer: 3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387 and 430.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -347\/9323 or 0?\nAnswer: -347\/9323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19920240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7217 + 20956. List the prime factors of j.\nAnswer: 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49122? (a) -3 (b) 5 (c) 4 (d) -125\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493 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: Evaluate (-49 + 14 + 20)*-1*4\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45477 - 64?\nAnswer: -45541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/6 - (6 + -10))*-4. Let y be (-78)\/(-13)*(-3)\/p. Solve 5*w + f + y = 0, -w + 2*f - 5 = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*g - 2)*(0 - 5 + 2)*(-6*g**3 + 6*g**3 + 5*g**3) to the form j*g + z*g**2 + v*g**3 + x*g**4 + p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4754, -10206, -15660, -21116?\nAnswer: -26574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 + 45*p.\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1346.646 + 1357. Round y to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 - 26*i**3 + 1 - 10 + 23*i**3 - 3*i - i**2 + 5 in the form z*i + r*i**2 + m*i**3 + y + h*i**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 226?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 3. Suppose 3*k + 111 = 6*k + 2*h, 0 = -5*k + 3*h + 185. Suppose 6*f = 2*f + 140. Let j = f - k. Calculate v(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/2 + 45*d**4\/2 - 49*d**3 - 93*d**2 + 97*d\/2 + 141\/2 = 0. What is d?\nAnswer: -47, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**2\/2 - 10*o + 1029. What is s(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*u = 35, 2*u + 27 = 3*m - 2*u. Suppose -m - 3 = 4*o. What is the units digit of (o\/(-3))\/(2\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.07, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 19*a**2 + 17*a - 87. Let o(z) = -z**2. Let t be o(-4). What are the prime factors of d(t)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8571, 8572, 8573?\nAnswer: 8574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 39*i**2\/2 - 10*i + 8. Let g be f(-10). Round g to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490523 rounded to the nearest one thousand?\nAnswer: 1491000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*s + 39 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -12.1. Let s = 1.6 - n. Let d be (14\/4 - 3)\/((-5)\/10). Which is the closest to d? (a) s (b) 2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 + c**2)*(2*c**3 + 0*c**3 - c**3) - 1 + c**5 + 1.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) -1 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:13 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-35)*w\/(w\/(w\/(w*w**(-1\/34)\/w))))**(-44) assuming w is positive.\nAnswer: w**(25410\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y. Let c(v) = -35*v - 7. Let q be c(-3). Let k be 8\/40 - q\/390. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 2*w + 85. Let m(x) = 8 - w*x**2 + 2 - 10 - 22*x**2. Let k(f) = -14*f. Determine k(m(y)).\nAnswer: 392*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009687316 to 7 dps.\nAnswer: -0.0009687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -14*m + 8868. Suppose -5*a = o - 383 - m, 3*a + o = 621. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116.133 + -16.867. Which is the nearest to 2? (a) x (b) -2 (c) -0.07 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.16 + -1.6?\nAnswer: 71.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(29\/6) + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 308.5+-2.9345968\nAnswer: 305.5654032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 610 and 707.\nAnswer: 431270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 + 12?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 + 0.017.\nAnswer: 50.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -735085 at least -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1115.342 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 10*z - 15. Let a be q(7). Suppose a*o - 40 - 38 = 0. Solve 14 = -4*u + 2*x, -x = -4*u - o + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4241 (base 12) to base 10\nAnswer: -7249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -212*f + 191*f + 483. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 1. Let f = 96 + -92. Let p be (-3 + f - 3) + -1 + -2. Let i(s) = 6*s + 5. What is p*b(v) - i(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -28. Let g(r) = 8*r**3 - 6*r**2 - 5*r - 1. Let z(w) = 9*w**3 - 7*w**2 - 6*w - 1. What is v*g(h) + 6*z(h)?\nAnswer: -2*h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/14)\/(3\/24*-6). Which is the third biggest value? (a) -6 (b) j (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from easysseynyc. Give prob of sequence snce.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 214 = -2*r, -2*j - 5*r = -0*j + 429. Let t = j + 338. What is the second derivative of -127*v**2 + 242*v**2 + v - t*v**2 wrt v?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/27))*z**(-7))\/(z\/(z**(-2\/5)\/z)*z*z**(1\/6))*z**(1\/3)\/(z**(-1\/8)*z)*(z\/(z*z\/(z\/(z\/z**0))))**(-24\/5) assuming z is positive.\nAnswer: z**(-6733\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**10\/15120 + v**8\/1680 - v**6\/360 - v**4\/12 - 3*v. Let t(d) be the third derivative of g(d). Factor t(h).\nAnswer: -2*h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/2)\/((-4)\/8*2). Solve -3*m - 2*n + 6 = 0, -4*n - t + 14 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -585, -637, -717, -831, -985, -1185, -1437?\n\"Answer: -h**3 - 8*h**2 - 21*h - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - u + 3*u. Suppose -8 = -q - 3*q. Let r(d) = -2 + 2 - d + q*d. What is z(r(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*t - 1437 + 1437)*(15*t**2 - 6*t - 24*t**2 + 8*t**2).\nAnswer: -48*t**3 - 288*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*y**2 - 185*y**2 - 190*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 1 + 1. Suppose -5*u - y*j = -29 - 41, 4*u - j = 43. Let a be -1 + 424\/u + 2\/(-6). What is the highest common divisor of a and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171805094 to the nearest ten thousand.\nAnswer: -171810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -297, -292, -285, -276, -265, -252, -237?\n\"Answer: f**2 + 2*f - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174.49023736 + -174.49. Round p to 6 dps.\nAnswer: 0.000237","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27647479 is divided by 337.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 37*m**2 + 437*m + 55. What is b(-13)?\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 188\/6*(-36 - -30). Let z = -92 + c. Round z to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)*b**(-3\/5)\/b*b*b**(2\/7)*b*b\/b**(1\/2)*((b*b\/(b*b**(-1\/2)))\/b)**32*b**5\/((b*(b**(-2)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(1273\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 - 224 = -5*h. What is the remainder when h is divided by (-2 - -5)*6 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 30 = 0. Let p be 100*3\/(45\/g). Suppose -5*c - p = -5*w, 3*w - 7*c = -3*c + 28. Solve 0*k = 2*k + w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 21 = -15. Suppose -j = -2*m - z, -3*j + 2*m = -1 - 6. Which is the nearest to j? (a) -2 (b) 8 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*q + 4*q - 2 + 18*q)*(12*q + 5*q + 10*q)*(0*q - 2*q**2 + 0*q)*(-2 + 4 - 1) to the form x*q**2 + y*q**4 + a*q**3 + p*q + b and give a.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.429.\nAnswer: 0.2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1 - 2*x + x + 4*x + 3. Let w(j) = 2*j - 2*j + 4*j + 3. Calculate -3*c(v) + 2*w(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.01 (b) 3 (c) -67\/21 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63260, -5, 27 in decreasing order.\nAnswer: 63260, 27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016 is divided by ((-625)\/(-375) - 17\/9) + (-357)\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 0, -4*o + 17 = 4*x - 11. Let u(t) = 6*t**2 - 6*t + 13. Let n be u(x). Suppose -5*l + 207 = -z, 2*z + n = 2*l + 47. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -1535, -3348, -5899, -9194, -13239?\nAnswer: -18040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10*34\/(1156\/(-51))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.463299 to the nearest integer.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9792 divided by -544.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303237348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:08 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38978 is divided by 567.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 30*h + 1217*h + 281*h + 6 in the form d*h + x and give d.\nAnswer: 1528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -422 + 448. Find the second derivative of -17 - 29*g - z*g + 88*g + 158*g**5 - 30*g wrt g.\nAnswer: 3160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*l = -402*l + 109*l + 80*l - 9434 for l.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12)*(-2 + (-11)\/(-7)). What is the third smallest value in -27, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 15*m**4 - 17. Let t(w) = -2*w - 5 + 5 + 1 + 5. Let x be t(6). Let k(q) = 1. Let j(u) = x*k(u) - a(u). Differentiate j(h) with respect to h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/12 - 104*k**3\/9 - 205*k**2\/6 - 34*k + 1297. Find z, given that u(z) = 0.\nAnswer: -102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**5 + 108*b**4 - 380*b**3 + 260*b**2 + 384*b - 368 = 0?\nAnswer: -1, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 29015\/3312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/2)\/((-2)\/3). Let u(v) = 0*v**3 - v**2 + 6*v**2 + 8*v - 6 - v**3. Calculate u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 1 in decreasing order.\nAnswer: 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -38963846\nAnswer: -1\/38963846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/2753 - 27449\/74331. Let w = i - -23\/135. Let k = 13.8 + -14. What is the closest to k in w, 5\/3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85196948856 plus -0.28?\nAnswer: 85196948855.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 + -134.8. Let u = 8 - 7.7. Which is the closest to -0.1? (a) d (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 363*n**2 - 180*n**2 + 7*n**3 - 185*n**2 - n**3. Let p(o) = 13*o**3 - 5*o**2. Calculate 10*i(l) - 4*p(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(8*d + 211 - 15 - 76).\nAnswer: -16*d - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280261, -280240, -280219, -280198?\nAnswer: -280177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3902*c**3 - 473*c wrt c?\nAnswer: 23412*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/9 + 42\/9. Suppose -j*n + 55 = -0*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/72 and 109\/420.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-56)\/(-1344))\/((-3)\/((-279)\/(-2)))\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6935*h**2 + 84 - 175 + 91 to n*h + o*h**2 + b and give o.\nAnswer: -6935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 227\/2922990 and 83\/898?\nAnswer: 2922990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/9)\/((-3)\/(-9)). Let g(y) = -55*y + 1. Let v be g(-5). Let l be v\/(-4)*1\/(-3). Solve -3*m + 0*m + r*s = l, -4*m + s = 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4521980763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 5:40 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*z - 413 - 698, -669 = -3*p + z. Let i = p - 74. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 482 - 277. Suppose 7*d - p = 26. What is the remainder when d is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 2 - -9 - (6 + -3). Let i be 4 - -2 - o*696. What is i rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**2 - 391*m - 3. Let s(f) = 17*f**2 - 759*f - 5. Give -3*s(z) + 5*u(z).\nAnswer: -6*z**2 + 322*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-14)*m**(-5\/3)*m assuming m is positive.\nAnswer: m**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27\/16 - 3\/16. Sort -4\/7, -0.1, -2\/7, w in descending order.\nAnswer: w, -0.1, -2\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.4823601 rounded to 1 decimal place?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29615 is divided by 491?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*87*((-2)\/(-4) - 1). Suppose -90*g + l*g + 135 = 0. Calculate the remainder when g is divided by 0 - -2 - -2*5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 2.8. Let l be (8\/(-14))\/(30\/(-35)). Sort l, g, 0.7 in ascending order.\nAnswer: g, l, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 41 + -23 - 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(7920) + 6*-1*sqrt(55))\/(4*((sqrt(320) + sqrt(320)*-1 + sqrt(320))*-2 + sqrt(320)))*-4)**2.\nAnswer: 4851\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*z - 19 + 12 - 25*z + 7 + 80*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1392)\/32*(1 + 1). Let w = 153 + c. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331839565?\nAnswer: 5, 139, 367, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -808002 (base 12) to base 9.\nAnswer: -3684562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 82?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/754 (b) 3 (c) -1 (d) -1.5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -12*f**3 - 4*f**2 - 8. Let q(t) = -6*t**3 + t**2 - t - 1. What is h(g) - 8*q(g)?\nAnswer: 36*g**3 - 12*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + (0 - -2) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796499 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -75*n + 83*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 314, 365, 384, 371?\n\"Answer: -16*d**2 + 99*d + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (250\/80)\/(-5)*6\/(-3)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 104 = 16. Suppose -2*h = -4*f + b, f + 4*h = 4*f - 23. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -243, -236, -227, -216?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose x + 12 = -g*x. Let z(m) = -m**2 - m + 4. Let w be z(x). Which is the nearest to 0? (a) -0.3 (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -953*d**3*u**3 - 601*d**3*u**2 + 13*d**3*u + 20*d**2*u**2 + d**2 - 260259*u**3 - 2*u wrt d.\nAnswer: -5718*u**3 - 3606*u**2 + 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m = 4*v - 142, 5*m = -10. Calculate the lowest common multiple of v and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7\/m**(-7))**(-33))**(-4\/21) assuming m is positive.\nAnswer: m**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i + 24*i + i**3 - 6 - 4*i**3 + 4*i**3 + 3 as d*i**3 + o*i + f + b*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511879220?\nAnswer: 2, 3, 5, 397, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 39 = -2*w. Solve 4*x - 3 = -w*c + 17, 4*x - 13 = 3*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -21718278.\nAnswer: 1\/21718278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -102110001011101 (base 3) to base 4\nAnswer: -113031011032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158169 and 949014?\nAnswer: 949014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r - 12. Let m(u) = 2*u + 1 - 2 - r. Let f(a) = -1. What is -3*f(x) + m(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (122\/(-549) - 52\/9)*(-2)\/87\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*4*(1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 6*o + 3. Let y = -3 - -6. Suppose 35 = 2*k - y. Let s be 4\/(-16) + k\/(-4). What is w(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420430 (base 5) to base 2\nAnswer: 11011000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**9\/1512 + z**7\/210 - z**5\/60 - 5*z**3\/6 - 15*z**2. Let h(v) be the first derivative of b(v). Factor h(i).\nAnswer: -2*i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1658\/10777 - (272\/78 - (-2 + 3))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**4\/12 - i**3\/3 + 7*i**2\/2 - 3028*i. Calculate w(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -8, w - 821 = -3*t - 485. Calculate the highest common factor of 210 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Suppose o = 2 + s. Suppose 3*c + 4 - 10 = 0. Solve 0 = -c*q + 4*q + o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 7. Let q = v + 11. Solve f = -3*k + k + q, k + f = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, -45, 9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 14*k - 33. Let i be g(5). Which is greater: i or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -22.8. What is the nearest to x in -0.1, -4, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/14 + 20493\/693?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12168550 + 1?\nAnswer: 12168551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 113, 2?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -38369*-0.3\nAnswer: 11510.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**9\/15120 + k**7\/630 + k**4\/4 + 9*k. Let o(p) be the third derivative of y(p). Find the third derivative of o(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2054.975cm?\nAnswer: 20549.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 2*u + 20. Does 29 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622663091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 5. Let w be s(5). Suppose 4*i + 4*k - 48 = 0, -5*i = -w*i + 4*k - 62. Let z = 62 - 36. What is the remainder when z is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387678853 to the power of 1\/2, to the nearest integer?\nAnswer: 19690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -212344 divided by 88\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2209170644 to the nearest integer?\nAnswer: 47002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193 - -121. Let c = v + 87. What is the remainder when 36 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2 - (-1 - 5). Let u be (-16)\/18 - ((-1022)\/(-126) + -8). Let q be -2 - 33\/u*4\/3. What is the highest common divisor of q and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (3 + 3*sqrt(7))*2 + -5 + 3)*-4)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52300 divided by 10460?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2958 - -7004. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 836186*r + 1. Let m be v(-4). Let j = -1344743 - m. Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119900069 by 1.\nAnswer: 119900069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 77 (c) 2\/3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -775*j + 778*j - x, -j = 2*x - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(180\/2268*7 + 4\/(-18))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008602 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-125))\/(31\/(26040\/16))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5412175?\nAnswer: 5, 37, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 23 = 365. Let x be c\/18 - 16\/(-72). Solve k - 2*h + 11 + 0 = 0, 4*k + 3*h = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -511*y**2. Let k(c) = 34*c**2. Let g = 1297 - 1206. Determine g*k(q) + 6*s(q).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123 (base 4) in base 12?\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4.6. Which is the closest to -0.2? (a) 1 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -8\/31 (c) -253.9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:30 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = 3*x, 29*x - 3*c = 32*x - 33. Let p(f) = 3*f. Let z(q) = q - 6*q + 3*q. What is x*p(a) + 10*z(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = -87. Suppose 0*r + i = 2*r - 3*v, -5*r = -4*v - 62. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 35. Suppose 4*x - n + 6*n = -k, -1 = -2*x + n. What is the third smallest value in 0, x, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -31.88. What is the closest to t in -1, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -359697 divided by 119899\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74 - -1?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/6 - k. Let i(g) = 9*g**2 - 15*g**2 + 11*g**2. Give z(i(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 321844807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(74\/(-38) - -2). Let k = -10 + u. Factor -60*o**2 - 53*o**4 - 2 + 92*o**3 + k*o + 9*o + 18*o**5 - 13*o**4.\nAnswer: 2*(o - 1)**3*(3*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/98 and -77\/4.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, -5, -3, 2 in ascending order.\nAnswer: -96, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 98*s - 28. Let w(o) = -294*o + 86. Let u(d) = -8*i(d) - 3*w(d). What are the prime factors of u(6)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 + 2*z - 1. Let o be g(1). Let c = 1359 + -1355. Suppose c*l - o + 8 = 0. Which is greater: l or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3) - 3)*-90. Suppose -2*p + j + 662 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74284 is divided by 3909?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 * -0.3006.\nAnswer: -0.013527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1039 and -0.489.\nAnswer: 508.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 + 261. Let o be -1 + -1*(-2 - -1). Solve -f = -o*f + m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.98684ml in litres?\nAnswer: 0.04098684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.382738mg?\nAnswer: 6382.738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 7.666494562.\nAnswer: 7.266494562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-49))\/((-63)\/98)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-6504)\/360 + 18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3888612590?\nAnswer: 2, 5, 388861259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/((-13)\/(-91)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3428583um in meters?\nAnswer: 0.0000003428583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:20 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2635 + 2985. Calculate the smallest common multiple of 250 and b.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**3*x**2 + 286*v**3*x - v**3 - 5*v*x**2 + 39*x**3 wrt x?\nAnswer: 12*v**3 - 10*v + 234*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -7, 0.0955?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - 3585\/(-45). Suppose k - 30 = 10*w. Which is the third biggest value? (a) 2\/11 (b) -22 (c) -2\/9 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7607.04km?\nAnswer: 7607040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.2159mm in kilometers?\nAnswer: 0.0004302159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b**4\/7 + 12540*b**3\/7 - 274370*b**2 - 644380*b\/7 + 61104 = 0.\nAnswer: -2\/3, 1\/3, 228, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tti when three letters picked without replacement from titttttitt.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/30503952 and -61\/66.\nAnswer: 335543472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225717 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2636 by 4.\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 51*g - 1479, 51*g = -3*r + 48*g - 87 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.2. Let r(d) = 2*d + 11. Let i be r(-5). Let f = 30 + -30.4. What is the nearest to 3 in u, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t + 3*t - 1 - 9*t. Let f be 1 + -2 + (-2)\/2. Let u(s) = 1. Let r(p) = 2*p + 2. Let d(o) = r(o) - 5*u(o). Give f*d(j) + 5*v(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3*(-49)\/(-196))\/(4\/456)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/4 (b) 2 (c) 3 (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415590 by -19790.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 13303001?\nAnswer: -13302554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4143412*l**4 + 5*l**2 + 2096*l + 17.\nAnswer: -99441888*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -231133321?\nAnswer: -231133322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*k**2 + 2*k**4 - k**3 - k**3 + 14*k**2 to the form p*k + m*k**2 + w*k**3 + u*k**4 + y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2 - 7*c + 7. Suppose 245 + 112 = -21*t. Let p = 26 - 20. Let v(r) = -20*r**2 - 20*r + 20. Calculate p*v(q) + t*z(q).\nAnswer: -q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 - 207 = 5*j. Sort j, -7, 4 in increasing order.\nAnswer: j, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4, 4*k - v - 67 = 16. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, l: 2, z: 1}. What is prob of sequence eq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9040 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 1112?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 28*d. Let p(j) = 36*j**2 + 18*j - 30. Let u be p(4). Let n(y) = 619*y - 1235*y + u*y. Give i(n(h)).\nAnswer: -4*h**2 + 56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let q be 8\/2*8\/2. Suppose -4 + q = -3*j. Let i be v(j). Solve 0*t - t + a - 2 = 0, 4 = i*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5. Let w be b(3). Suppose -w*z - 2*u - 3 = -21, 0 = -2*z - 3*u + 11. Let t(q) = -5*q**3 + 8*q**2 + 5*q - 1. Let h be t(-1). Sort z, -5, h, 2.\nAnswer: -5, 2, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*-4*(-72)\/(-24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 26. Let u be y(12). Suppose -12*k - 208 = -u*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/(-35) + (-3)\/7. Let f = 14 - g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-4)\/(-20) + 36. Let c = -35 + p. Factor 12\/5*h**3 + 8\/5*h**2 + 8\/5*h**4 + 0 + c*h + 2\/5*h**5.\nAnswer: 2*h*(h + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-36)*8)\/(4\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225843551?\nAnswer: 225843551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 389.2?\nAnswer: 194.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 499334167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -5*o**4\/12 + o**3\/3 - 2*o**2 - 9*o + 7. Let i(f) = 6*f**2 - 3*f + 5. Let z(w) = 4*i(w) + 5*y(w). Factor z(u).\nAnswer: -u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.86, 2, 5?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1963*0.2\nAnswer: -0.03926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 5:11 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j - 32. What is k(-6)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1429148 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a56 (base 12) in base 13?\nAnswer: 8bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 9*g**2 - 7*g + 10. Let f be w(5). Suppose f = 13*b - 221 - 416. Calculate the greatest common factor of 490 and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 46683*o + 2424818. Give t(52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -87*g + 366. What is c(7)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*x - 0. Let d = -370 + 374. Suppose -3*k - 7*i + x = -2*i, -3*i = -d*k + 9. Solve 2*v - v = -k*g - 1, 4*v + 4 = g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115*p**4 - 3*p**3 + 101*p**4 + 1282 - 1280 + (p - 5*p + p)*(5*p**3 - 4*p**3 + 2*p**3).\nAnswer: 207*p**4 - 3*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 240 + 4 - 17*k**2 + 1 - 236. Let v(z) = -17*z. Calculate v(t(o)).\nAnswer: 289*o**2 - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5))\/((-21)\/28*4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166815014 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d**2 + 164*d - 48 = 0 for d.\nAnswer: -12\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.372 + -0.628. What is the closest to -3 in 1\/2, u, 0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3610 and 81\/274360.\nAnswer: 274360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((sqrt(60) + (sqrt(60) - sqrt(420)\/sqrt(7)))\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/180*88\/8?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = g + 504, -3*d - 496 = g + 2*d. List the prime factors of g\/(-8) - (-6)\/(-24).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15593717053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1633*m + 2. Let q be h(-1). Let n = -1066 - q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13577, -27159, -40743, -54329, -67917?\nAnswer: -81507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*b + 15 - 15 + (3 - 2 - 3)*(3*b + b - 2*b))*(-5*b**2 - 18 + 18) to w + y*b**3 + c*b**2 + u*b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 28. Sort r, -2, 2 in descending order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -916 + 916.0000397. What is j rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/((-48)\/(-4))*5\/((-175)\/49)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.4 - 6.4. Let s = -204.3 - -204. What is the second smallest value in s, -2\/5, m, -0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23531, -45903, -68275?\nAnswer: -90647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52\/21, 2767, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -4.5?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 8*p**2 - 4*p - 15. What is the remainder when j(7) is divided by 3*(-1 + (1 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/3 + 8*l - 56\/3 = 0. What is l?\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - o - o)*(-2*o**2 + o - o) - 6 + 2*o + 2 + 3 + o**3 + o**3 + 3*o**3 - o**3 + (0 - o**2 + 0)*(2*o - 2*o + o).\nAnswer: 19*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*3\/(18\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1021?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -337a - -a8?\nAnswer: -3292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 41631 = -3*l, 19*g + 27750 = 2*l + 17*g. Calculate the least common multiple of l and 6.\nAnswer: 13878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 138 = 13*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.6911925 rounded to three decimal places?\nAnswer: -27.691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = -4*o + 30, q - o = 22. What is the lowest common multiple of q and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k**2 - 94*k**2 - 79*k**2 + 239*k**2.\nAnswer: -46*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 483799.4 litres in millilitres?\nAnswer: 483799400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, -43, -269, -711, -1441, -2531?\n\"Answer: -12*r**3 + 2*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*k*y**4 - 2*k*y**2 - 8211*k*y - 5735*y**3 - 2*y**2 + 14*y + 3 wrt y?\nAnswer: 636*k*y**2 - 4*k - 34410*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41347 and 7266.\nAnswer: 1736574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 10*v + 12. Let d be o(10). Let t(m) = -3*m - 10*m + 16 + d*m**2 - m**3 + 2*m**2. What is the smallest common multiple of 8 and t(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 15 = 10*o, -4*r + 173*o - 172*o + 24 = -0*r - 24 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 24*w - 131. Calculate h(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + 16*w + 10*w to the form i + o*w and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 23693*d + 248. Is j(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 91470.\nAnswer: 1\/91470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*w + 651206 = 93*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114546, -229213, -343986, -458865, -573850?\nAnswer: -688941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j + 3*j - 120 = 0. Let w(g) = -9*g**3 + 2*g**2 - 3*g. Let h be w(-3). Suppose 3*x = 6*x - j*k - 785, 0 = -x - k + h. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41563171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13952 and 127748.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2040 + 6122\/3. Let r(f) = -f**3 + 2*f**2 + 4*f + 1. Let t be r(3). Factor 5*s - 3\/2 - d*s**t - 13\/6*s**2 - 10\/3*s**3.\nAnswer: -(s + 3)**2*(2*s - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (8 + (8 - 15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179 + 184. Which is the closest to -1\/11? (a) -0.1 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 426 = 414. Suppose 5*q - q = i. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:09 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.23413 rounded to three dps?\nAnswer: 8.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 176 * -270\nAnswer: -47520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48166 is divided by 1312.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974*h + 381 + 7014 + 3922 + 371 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3) - (-44)\/33. Solve v - 3 - 1 = t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -122*k**3 + 3*k + 4. Let r be o(-1). Is 13 a factor of 5 + -2 + 2 + r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282875 and 2294.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -322287 divided by 76?\nAnswer: -322287\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and 39\/167.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 25*n**2 + n**2 - 21*n**2. Let m be (-5 + 10)*(-6)\/(-10). Let u(b) = 5*b - m*b - b + 7*b. Give k(u(h)).\nAnswer: 320*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 147 - 83. Suppose 5*v + 4 = 4*c - 3*c, -4*v - b = -4*c. List the prime factors of -1 - -3 - c\/(-1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 103?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 754 (b) -1 (c) 309 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 4*x. Let y(b) = -2*b**2 - 3*b. Let o(d) = -3*v(d) - 4*y(d). Let r(n) = -n**2 - n**2 + 3*n**2 - 4*n**2. Give o(r(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o - 77. Let k(f) = -10*f - 76. Calculate -4*i(m) + 3*k(m).\nAnswer: 2*m + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10922 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + k + 17*k**2 + k + 0*k + 4*k.\nAnswer: 17*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175613822 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h)\/(h*h**(-5))*(h*h**(1\/38))\/(h**(3\/7)*h) assuming h is positive.\nAnswer: h**(2287\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 3*r**5\/20 + 4*r**2 - 2*r - 1. Let f(i) be the first derivative of s(i). What is the derivative of f(v) wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*20 - -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569910011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4214 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/3)*s*s**(-4)*s)\/(s\/s**(-1))**(2\/51))**(-1\/79) assuming s is positive.\nAnswer: s**(89\/4029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 + 7*j - 2. Let q(n) = -5*n**3 - 34*n**2 - 36*n + 11. Let y(a) = 2*q(a) + 11*x(a). What is the tens digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -129, -179, -229, -279, -329?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -3861 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/18 + (-6)\/27. Let t = j + 8. Solve -v + 5*v + 32 = t*b, 0 = 3*b - v - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + 12342\/(-204) + 4 + (-1418)\/404.\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519900551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -1.88. Let t = -3 + p. Let r = 0.7 + t. Which is the third biggest value? (a) r (b) 3\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 408.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 268159 and 13?\nAnswer: 3486067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 910*l - 515*l - 624*l + 11*l**2 - 2*l**3 - 10*l**2 as z + n*l + v*l**2 + j*l**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 4*t**5\/15 - 2*t**2 - 31*t + 3. Let v(f) = -14*f + 1. Determine v(u(k)).\nAnswer: -224*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8d0 (base 14) to base 10\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.5. Let v = -0.3000047 - q. Round v to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 868\/(-5 - 17\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -64, -53, -38, -19, 4, 31?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 683, 1024, 1365, 1706, 2047?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7734*x - 15587*x = -7591*x + 10742 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225 or 394447\/1755?\nAnswer: 394447\/1755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3793\/762 - 24\/127. Suppose -3*f + 2*o + 3 = 9, -2*o = f - 6. Find the common denominator of h and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**4\/4 + 2*z**3\/3 + 9*z - 334. Let j be k(3). Suppose 37 = 5*s + 2. Solve 4*b + 5 + s = j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 25*i**2 - 14*i + 10. Let u be w(4). Let z = u + -246. Calculate the remainder when z is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(484)*3)\/sqrt(11) - (-1*sqrt(132)*-5)\/(-2*sqrt(108)).\nAnswer: -4 + 41*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -763261134 by -2.\nAnswer: 381630567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2613.412nm to kilometers.\nAnswer: 0.000000002613412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(520\/117)*2\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = 14*b + 50. Solve -b*o = -4*g - 37, 40 = -5*g - 0*o + 5*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*o, -4*p - 2*o - 10 = -5*o. Let y be (-7 + 5)*126\/p. Suppose -5*k + 41 = z, -y = -4*z + 4*k - 19. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2464\/15, -2, -0.5, 444, -5 in descending order.\nAnswer: 444, 2464\/15, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 3*z**2 + z**2 + (-z - 1 + 1)*(11*z - 24 + 24) in the form y*z + c + m*z**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2289709878324 + 540\nAnswer: -2289709877784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/8 - 182\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**6\/20 - 93*i**5\/20 + 59*i**4\/8 + 61*i**3\/2 + 6074*i. Factor s(x).\nAnswer: 3*x*(x - 61)*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147384 divided by -8188?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7 - 2*z**2 - 2*z + 7 - 2355*z**3. Let u be y(-2). Let n = u + -54836. What is n rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-2\/3)*l*l)\/(l\/(l**(-1\/5)\/l))*l**(-1\/5)*(l\/l**3*l**(-4))\/l**(3\/35) assuming l is positive.\nAnswer: l**(-541\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.6 or 35825\/7?\nAnswer: 35825\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-16) - 2178\/(-18192). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 94. Let d = -33.8 + g. Let h = -1.39 + d. Round h to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(132)\/(sqrt(12) + sqrt(48)\/sqrt(4)) + 1).\nAnswer: 3 + 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 4*d**2 + 5 + 4 - 12 to m*d + z*d**2 + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 + c**4 - 2*c**4 + (-29*c + 29*c - 59*c)*(-c**3 + 3*c**3 - c**3) in the form f*c**2 + d*c**4 + r + q*c + x*c**3 and give d.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*o - h, -420*o = -417*o + 3*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 16 = 0, 5*f + 3 = 34*v - 37*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*4*-4 - sqrt(192))**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 653 - 635. Calculate the remainder when 1259 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 376521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250291119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/264)\/(1\/(-33))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13.6*0.172313\nAnswer: -2.3434568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4089b (base 12) to base 5\nAnswer: 10143330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 2*p - 2 = -2*u, -3*u = 5*p - 2. Let l be (12\/10)\/(18\/30). Sort 1, l, u.\nAnswer: u, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 1248, 2810, 4994, 7800?\nAnswer: 11228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 31 = -w - 340, 2*w + 103 = -l. Is l at most -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = l + 26, -2*l + 22 - 134 = -4*r. Suppose 5*k - r = 5*z, 4*k - 10 = k - z. Solve 2*n = -k*c + 10, c - 2*n = -4*n - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-5)\/2)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 732733.9 millilitres in litres?\nAnswer: 732.7339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-12) + -2)*27. Let i = 31 + -18. Suppose x - 17 = -u + i, h = u - 2*x. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1452317514?\nAnswer: -1452317514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 595 and -6873496226?\nAnswer: 6873496821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -2. Let c = -1 - p. Let u be (c + 0)\/(4\/40). What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281.1776 rounded to 1 decimal place?\nAnswer: -281.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 118 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -2*n, -3*n - s - s = -12. Suppose n*q = 4*q + 3*v - 36, -q - v = -16. What is the highest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*c + 133 = 1323 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 20*a + 2. Let g(l) = -25*l. Calculate j(g(p)).\nAnswer: -500*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + 0.28. Let b = -1.35 - x. Let v = 1.9 + b. What is the second biggest value in 7, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000078482594 rounded to 7 dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9 - 4*o**3 - o - 4*o + 4*o**2 - 5 + 5*o**3. Let r be a(-5). What is the second derivative of 18*n**4 - 11*n - 3*n**r - 3*n**4 wrt n?\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-1 - -1) + (-1 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 227.07412?\nAnswer: 227.17412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 671, -4, 3 in decreasing order.\nAnswer: 671, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:54 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40908774 + 11.5.\nAnswer: -40908762.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29576459, 59152918, 88729377?\nAnswer: 118305836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400839 is divided by 1223?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let c(f) = 3*f. Let y(p) = p**2 + 2*p. Let d(k) = -2*c(k) + 3*y(k). Determine d(t(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, n: 8, r: 5}. What is prob of sequence nyyr?\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3416.78 + -3416.77829823. What is j rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 8. Let t be d(8). Suppose -s - 119 = -t*s. Let m = s - -191. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/120 + 29*z**5\/60 + 13*z**4\/12 + 59*z**3\/6 - z**2 - 45. Is q(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/30 or 203?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/60 - 19*q**5\/60 + 5*q**4\/24 - 5*q**3\/3 + 2*q**2 + 5. Is s(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 347715063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10912 and 29760?\nAnswer: 327360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 981357161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2299 + -1502. Suppose -130 = 5*x - 4*t - w, 390 = 3*x + t. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7507672*c**4 - 39*c**2 - 58688*c.\nAnswer: -180184128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -33*b**2. Let j(f) = 2214*f. Give j(n(v)).\nAnswer: -73062*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 4. Suppose 0 = -3*x + 4 + d. Solve 3*a + 4*f = 2*a - x, 0 = -3*f - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 6485?\nAnswer: -3\/6485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbybyybhbtmybmymbyy. Give prob of picking 1 m and 1 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*m + 180. Suppose -4*f + 88 = -0. Calculate the least common multiple of f and m.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8201698.\nAnswer: 2, 4100849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -851 - -8521\/10. Calculate the common denominator of o and 91\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a122 - 10756?\nAnswer: -1a878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/66*2*(-141)\/188.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 5, -3, 1, 27236 in descending order.\nAnswer: 27236, 18, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**7\/280 + x**5\/12 - 11*x**3\/6 - 3*x**2. Let p(h) be the first derivative of m(h). Find the second derivative of p(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 5*r + 536. Give d(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12414104 + 0?\nAnswer: -12414104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 20, 42*i = -2*y + 41*i + 325045. What is y rounded to the nearest one thousand?\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*l - 16. Suppose l*s - 202 = 122. What is the lowest common multiple of s and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*v**2 + 73*v**2 - 23 - 2*v**3.\nAnswer: -2*v**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -140 in 0.1, 0, 0.2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 999\/8, 0.05, -2, -0.4 in ascending order.\nAnswer: -2, -0.4, 0.05, 999\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)\/(u*u**(3\/5)\/u))**(-10)\/(u**6*((u\/u**(-4\/9)*u)\/u)\/u)**(4\/13) assuming u is positive.\nAnswer: u**(470\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 - p - 1. Let t be y(-7). Suppose 3*b = 7*b. Suppose -5*v - 5 = -5*x, b = 2*x + v + 4*v - 2. Solve i + t = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/(57\/190). What is the closest to 0 in v, 3, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24779176.5 less than -2?\nAnswer: 24779174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 0*b**2 + b**3 + 0*b - 3\/4*b**4 - 2. Find the third derivative of k(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*-2*sqrt(1539) + 2)*2*5.\nAnswer: 20 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 0)*(0*r + 2*r - r) + 759 + 61*r - 759)*(-r**2 - 3*r**2 + 5*r**2) as h*r**2 + w*r**3 + g + o*r and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9*n = 319. Let w = -34 + n. Let g = -0.2 + 0.4. Which is the nearest to 0? (a) w (b) -5\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 122*b + 3 - 62*b - 63*b. Suppose 0*g - 3*k - 28 = -4*g, 4*g + 5*k + 4 = 0. What is the remainder when h(2) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1207 equal to -1205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -61*l**3\/3 - l**2\/2 + 233*l. Let d(p) = 2*p**2. Give j(d(z)).\nAnswer: -244*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**3 + 11\/2*h**2 + 1 - 3*h. Let x(u) = -4*u + 0 + 4*u**2 - 5*u**2 + 1. Determine 4*w(p) + 11*x(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1560, -5, 1, -109 in ascending order.\nAnswer: -109, -5, 1, 1560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, and 1 k when three letters picked without replacement from zkvkekkgg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 - 216*m**2 - 3*m - 5265 wrt m.\nAnswer: 3*m**2 - 432*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and 2.796289?\nAnswer: 5.8722069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from gggsgsglgllls.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (762\/(-12))\/(3\/(-6)). Suppose x - 4*o + a = 2564, 3*x - 7293 = 3*o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*r**2 + 2*r**3 - 28*r**2 + 82*r**2 - 4*r**3 as u + d*r**3 + n*r + h*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from ogo?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 + 3*p - 3. Let o be m(2). Let h = o + -5. Solve h*t = -1 + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1820, 1, 4 in ascending order.\nAnswer: -1820, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o + 7. Let d(z) = -5*z + 4. Let k(u) = 7*d(u) - 4*x(u). Let g(w) = -32*w**2 - 19*w**2 - 28*w**2 + 84*w**2. Determine k(g(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-15)*(79 - 65 - -31).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -104 - (-30 + 12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101111110110010100 (base 2) to base 16.\nAnswer: 3efd94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 12. Suppose 33 = 4*f - s, -2*f + 2*s = 4*s - 24. Let n be g(f). Suppose 0 = -5*k - 2*d + 2061, -1662 = 2*k - n*k + 5*d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 - 10*j - 5. Let x be 19\/(-2) - (-2)\/4. Let n be g(x). Let z(m) be the first derivative of 3*m**2\/2 - 6*m - 2. Determine z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8796359 less than -1078826?\nAnswer: -1078825.1203641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**4 - 315*i**3 - 2040*i**2 - 4540*i - 3360 = 0. Calculate i.\nAnswer: -56, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 430515 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.85 - -6.85. What is the closest to 1 in -5, 1, l, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/4)\/((-2)\/12). Let m = 23 + i. Suppose m*o - 4*o + 59 = n, 2*n + 2*o = 114. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -1)*(-37 - -36). Which is the nearest to 1? (a) m (b) 3\/19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 50*s - 45*s + 289 - 34, -2*i = 73*s - 74*s - 101 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((26\/5)\/(-13))\/((-4)\/(-10)). What is the hundreds digit of j - 1923\/(-2)*60\/90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218913 - 33305*o + 218913 to f + x*o and give x.\nAnswer: -33305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-320)*-8*2)\/2*92?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from {g: 9, s: 4, e: 1}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23927293, 47854588, 71781885, 95709184, 119636485, 143563788, 167491093?\nAnswer: 191418400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((((x**(-5)*x)\/x)\/x)\/x))\/(x*x*x**(-4)))\/(x**(-2\/3))**(-1\/33) assuming x is positive.\nAnswer: x**(988\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4209, 4215, 4221, 4227?\nAnswer: 4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 16 = 4*j + 5, 5*j + 3*q + 24 = 0. Let o be (1 - 0) + j + -28. Let x = o - -77. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11 - 80*m**2 - 11.\nAnswer: -80*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633*2.934.\nAnswer: 1857.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/2*8*((-667)\/(-58) - 14). Let y(b) = -5*b + 28. What is y(k)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967*v - 41*v**2 + 967*v.\nAnswer: -41*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 2. Let k be b(2). Let n be (-2)\/33*(-18)\/20. Let a = 131\/385 - n. Is k >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1298099 to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + f + f - f + f - 2*f + 6*f - 5*f + (-1 - 1 + 4)*(0 + 2*f + 0) + 1748*f - 265*f + 1146*f.\nAnswer: 2634*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 33 + 51 = 0. Sort 5, q, 7, 3.\nAnswer: q, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5163*m + 6446511. Let r(c) = -17*c - 2. Let l(f) = -5*r(f) + y(f). Let l(u) = 0. Calculate u.\nAnswer: 2539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 6*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(1 - 175\/100)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11338728.4 rounded to the nearest one hundred thousand?\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.87 - -3.43. Let m = 0.7 + o. Let l = 4 - 3. Which is the nearest to 1? (a) 3 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49\/8 - 6. Let t = 55 - 55.23. Let j = 0.63 + t. Which is the second smallest value? (a) 1\/3 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -95, -39.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 = 7*n + 42*n + 69 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26324*k + 52667*k - 26343*k - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(1\/3))\/(z\/(z*z*(((z\/(z**(-16)*z))\/z)\/z)\/z)*z) assuming z is positive.\nAnswer: z**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111101010001100101111?\nAnswer: -111101010001100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1286335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6\/13)*k**(-15)*(k\/(k\/(k*(k\/k**0*k)\/k)))\/k**9 assuming k is positive.\nAnswer: k**(-292\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrssyssy. Give prob of picking 2 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 730088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8106313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:10 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 330231 (base 5) in base 3?\nAnswer: 120112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 352 - 260. Let d = h + 0. Calculate the remainder when d is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*a**2 - 45*a**3 + 80*a**3 - 41*a**2 + 28*a**3.\nAnswer: 63*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 s, and 1 v when three letters picked without replacement from sqrvooj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 150 = -5*c, -c - 45 = -2*p - 15. Let m = 37 + c. Calculate the highest common factor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 7*w**2 + 1068*w**3 + 3*w**4 - 2138*w**3 - 6*w**2 + w + 1068*w**3 to the form q*w**3 + i*w**4 + u*w**2 + d + a*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 8*i**2 + 9*i + 4. Let u be a(9). Let w = -4 - -9. Solve -u*b - b + w = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((11 - 3) + (10 - 12)) - -25.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 98 = 2*m, d - 30 + 3 = -2*m. Solve 3*i + 15 = 5*r, -i - 4*i = -3*r + d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 9*g - 3. List the prime factors of n(11).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnfbwwfbbwbfb. Give prob of sequence wnb.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**3 + 2*h**4 - 375*h + 371*h - 1355*h wrt h?\nAnswer: 24*h**2 + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2 less than 249?\nAnswer: 259.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -14*j - 3. Let g be h(-9). Calculate the greatest common divisor of g and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 9.5. Let i = 0.053 + 0.147. Is i at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 - 2*l**2 + 13*l**2 to b + g*l + v*l**2 and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, -4, 5, -1350?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3 - 9)*(-1 + 0 - 2)*(-19*o**2 - 3*o**2 + 3*o**2).\nAnswer: -855*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*y - 0*v - 9, 0 = -3*v + 15. Suppose y*p + 242741 = -4*j + 1022753, 5*j + 389985 = p. What is p rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 - 11)) + (12 - 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 + -2455\/9. What is the smallest value in o, 0.18, 2, 0.4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 462?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16888 times 57.1\nAnswer: -964304.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, -0.3, 1\/7, -625.9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17288*l - 18156 wrt l?\nAnswer: -17288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 10:09 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3230212123 (base 4) to base 5\nAnswer: -222002430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 4. Let h(n) = -8*n - 72. Give b(u) - h(u).\nAnswer: 5*u + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 112 + 112)*(-57*c**2 + 5*c**2 + 4*c**2 + 4*c**2 - 5*c**2 + 3*c**2 + (4*c + 0*c - 3*c)*(0*c - 3*c + c) - c + c - c**2).\nAnswer: -196*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + k + 5, -4*i - 2*k + 11 = -k. Let j(d) = d**3 - 8*d**2 + 17*d - 10. Let z be j(7). Suppose 8*q - z = i*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2. Let g(j) = j**2. Let h = 41 - 42. Let m(y) = h*s(y) - 3*g(y). Let b(i) = -6*i**2. Give m(b(c)).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-21 - -9) + 3 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + 3. Suppose -5*x - 20 = -5. Let h be -4 - ((x - 12) + 1). Calculate the highest common divisor of h and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 12. Suppose -4*o = -5*p - 21, 2*o - 7*o = -p. Determine q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1 + j**3 - 3*j - 3*j + 2*j - j**2. Let m(u) = 2*u**2 + 16*u - 15. Let w be m(-9). Suppose -4*a + w*y + 9 = 0, 0*a - 2*a - 5*y = -11. Give f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*y, -o - o = -2*y + 8. Let m(d) = 8*d**3 + 2*d**2 - d + 2. Let q be m(o). Let r = q - -129. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 26*a - 116. Let x(r) = 50*r**2 - r + 1. Let d be x(-2). Calculate the greatest common factor of d and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 3*r + 4. Suppose 8*c - 185 = -593. Let t = -46 - c. What is x(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.8. Let j = m + -0.2. Let u = -1.4 - -1.3. What is the closest to u in -0.3, j, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (1 + 62\/2). Let i(h) = 29*h**2 + 11*h + 17. Let d(f) = -5*f**2 - 2*f - 3. Let s be (-6)\/24 + 23\/(-4). Let q(g) = s*i(g) + y*d(g). Factor q(t).\nAnswer: -2*t*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/42969 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165*r**3*v**2 - 3004*r**3 + r*v**3 with respect to v.\nAnswer: 330*r**3*v + 3*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -19, -36, -55, -76, -99, -124?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -252330 (base 7) to base 5\nAnswer: -2441343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*y + 4*f, y + 34 = 3*f + 22 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) 5 (c) -3\/2 (d) 125\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63298?\nAnswer: 2, 31649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 403, 803, -3, -0.3.\nAnswer: -3, -0.3, 403, 803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - -15) + -22 - -128\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:22 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 667 - 583. Calculate the remainder when 22 is divided by 8\/(-28) + 1284\/m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302303 (base 4) to base 14.\nAnswer: -1283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2565 (base 13) to base 4.\nAnswer: 1103022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 - (-143)\/33 - 16854\/(-26136) and -71\/1936.\nAnswer: 17424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72)*2 + sqrt(72))**2*1) + (3 + (-1*sqrt(72) - sqrt(72)) + sqrt(72))**2 - (1 + (sqrt(72) - (sqrt(72) + 0)))*2) + 4.\nAnswer: -565 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let w be (13 - d)*(-54)\/(-1). Is (-2)\/5 + w\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(2 + (1 - 2)). Let t be ((16\/(-20))\/4)\/((-2)\/10). Let o = m + t. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/174 and 3\/116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 7922.\nAnswer: 31688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 75*x + 491 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) + (-2*sqrt(84) - sqrt(84))))\/(sqrt(12) - sqrt(84)\/sqrt(7)*-4).\nAnswer: -8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u + 3*u - 7*u**3 + 4*u to the form j*u**2 + s*u + t*u**3 + m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1324*q**3 + 1240*q**3 - 2513*q**3 + 86 - 146 + 60.\nAnswer: 51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 + 28366*p\/3 + 56734\/3.\nAnswer: -(p - 56734)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63006 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 6) to base 2\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/25 and -43\/415?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 32*s + 7. Let j be g(-32). Solve j*r + 15 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267\/152 or 2?\nAnswer: 267\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*10*(-1)\/(-38)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/793035283 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 0*h**2 + 0*h + 31 + 26\/3*h**3. Let m(x) = -x**2. Give p(m(k)).\nAnswer: 26*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -4c?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -100. Does 10 divide n\/(-8)*(8 + -2)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 1. Let q(p) = 4*p. Let t be (-1 + 0)*2 - 1. Let l(w) = t*v(w) + 2*q(w). What is the units digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -968237 (base 13) to base 7.\nAnswer: -42004232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1246 and 229887.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 8*r**2 + 2*r + 8. Let y be f(8). Suppose -5*c - z + 12 = 1, -y = -4*c + 3*z. Let k(g) = 4*g - 4. Determine k(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-4)\/(-16)*-2). Suppose -u = -4*h + r, -u + 0 + 1 = -h. Let d(m) = 9*m - 1. What is d(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 476, 857, 1238, 1619, 2000?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-45)*(-51590)\/(-16884)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 3*u + 2*u)*(-6 + 3 - 1)*(435*u**3 + 6890*u**3 - 4557*u**3 + 11720*u**3) as c*u**2 + d*u + h + z*u**4 + s*u**3 and give z.\nAnswer: -57952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368646 is divided by 687?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**5)**(3\/7) assuming d is positive.\nAnswer: d**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**2))\/(a\/(a*a**5)))\/(a**(2\/17)\/(a\/(a**2\/a))))\/((a**(2\/21)*a*((a**(3\/8)\/a)\/a*a)\/a)\/(a**(-1))**6) assuming a is positive.\nAnswer: a**(-7391\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i - 4. Let x be g(-3). Suppose -5*j + 276 = -y - 107, -x*y + 81 = j. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*d**3 + 1197*d**3 + d**2 - 2*d**2 + d**2.\nAnswer: 116*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a + 13. Suppose -b = 5*o - 26, -18*b + 23*b - 210 = -5*o. Let u be (a\/(-6) - -2) + b\/(-12). Put 2, -8, u in decreasing order.\nAnswer: 2, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) 4 (c) -3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 + -1?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 4*k - 48 = 0, -2*k + 40 = 718*v - 714*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0385 + 0.034497. Round z to four decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40649 is divided by 1844?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28)*29 - (-4)\/14 - 3850301\/(-493142)?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8815.98249ns in weeks?\nAnswer: 0.000000000014576690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:19 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 11*d - 15*d + 41, -d = b - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50379 and 17668635.\nAnswer: 123680445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 2.7. What is the nearest to 0.7 in x, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*w*x**2 - p*w + 53*p*x**3 + 2*w*x**3 + 362*w*x**2 + x**3 with respect to p.\nAnswer: -2*w*x**2 - w + 53*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 + 129. Let w = x + 13. Let u = w + 95. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51745 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48220137 and 9?\nAnswer: 48220137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, 4\/19.\nAnswer: 4\/19, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8625198.464 rounded to the nearest one hundred thousand?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2063, -2031, -2007, -1997, -2007?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q**2 + 27*q**2 + 0*q**2)*(-3*q + 3*q - 4*q**3) + (-2*q + 2*q**3 + 2*q)*(3 - 3 - 3*q**2).\nAnswer: -82*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 4*z**2 - 3*z**2. Let s(g) be the third derivative of 2*g**5\/15 + 9*g**2 + 2*g - 513. What is y(s(f))?\nAnswer: -512*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 0*w - 5*w - w + 35*w - 4.\nAnswer: 16*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 194, 223, 252?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16174, 15501, 14828, 14155, 13482?\nAnswer: 12809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24798524 = 19*g + 14151476. What is g rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 2*z**2 - 2*z**2 + (-2 - z + 2)*(8 - 24*z - 8) - z**2 - 5*z**2 + 5*z**2 in the form q + u*z + b*z**2 and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 49. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26250773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:39 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*c + 23679, 62*c = -4*x + 60*c + 31602. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 8*v - 4592. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1369889 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in 1\/3, 3, 0.02905, 2\/5, 13\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0917999642 + 0.0918. What is z rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 5) + -5 + 29 + -9 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*v + 86 + 122 = 0, -z + 46 = -3*v. Suppose 0 = 2*g + 3*g - z. Which is greater: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 191400.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5322\/49 - -5336\/49. Let -2\/7*i - j*i**2 + 24\/7 = 0. Calculate i.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4046)\/4046)\/((-10)\/12*(-9)\/390)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.228 - 1.328. Which is the closest to -2? (a) -0.19 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 0*n**2 + 0*n**2 + (0*n**2 + 0*n**2 + 3*n**2)*(-46*n + 28*n + 23*n) + (-n**2 - 3*n**2 + n**2)*(-n + 0*n + 2*n).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 147579624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2 = 35 + 19 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/(-27) + 4 + (-45000002)\/9. Round x to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 12 (c) -5 (d) -343016\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -s + 14, 2*k = 996*s - 1000*s + 26. Which is the closest to 9? (a) k (b) -2\/5 (c) -3\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361 by -1.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596 = -64*p + 2*f - 716, 3*p + 3*f + 0*f + 18 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 + 1602*b - 1602*b.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y - 51. Give s(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177973.\nAnswer: 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o. Let r(x) be the third derivative of 79*x**5\/30 - 6220*x**2. Calculate l(r(d)).\nAnswer: 2054*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 3\/4, -4, 0.04, 0.2 in decreasing order.\nAnswer: 5, 3\/4, 0.2, 0.04, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:38 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 6840.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2275436 rounded to three dps?\nAnswer: 1.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvsacrv. What is prob of sequence sa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*w**3 + 605*w**2 + 4650*w + 1125 = 0. Calculate w.\nAnswer: -15, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713965.\nAnswer: 5, 11, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clyx when four letters picked without replacement from {c: 1, x: 1, y: 1, q: 3, l: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -90. Let y = -1648 + 1622. Let h = o + y. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2623 divide 228027882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 34564 and 34553 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2059214*n**2 - 103684*n - 10 wrt n?\nAnswer: -4118428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.31974 to one decimal place.\nAnswer: -230.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(18)\/sqrt(3) + sqrt(6) - (sqrt(6) + sqrt(36)\/sqrt(6)*6))\/((sqrt(3) + sqrt(1323) - sqrt(3) - sqrt(3)) + -6*sqrt(12)\/sqrt(4) + sqrt(3)).\nAnswer: -11*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/(-20) - (-8)\/(-5))\/(10\/(-12)). Suppose -2*r - 3*r + 110 = 0. Which is the fourth smallest value? (a) -5 (b) 3 (c) r (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 + 3*p - 7. Let k(c) = c - 1. Let f(u) = 5*k(u) - w(u). What is the units digit of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 346 = -422. Suppose -3*x - x = -4*p + 1568, 0 = p + x - y. Let d = p - 261. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4067309957?\nAnswer: 31, 491, 267217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (601*p**2 + 688*p**2 - 402*p**2)*(3*p + 1 - 1 + (-2 + 2*p + 2)*(-1 + 0 + 2) + 1 + 3*p - 1).\nAnswer: 7096*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876979 is divided by 1583?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 69 + 4*v + 65 - 5*v - 132.\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 33681\/(-23724)) + 2. Let o = -2\/659 + a. Calculate the common denominator of o and -101\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 9, -3*x = -5*v - 1 + 13. Let r = 3 + -5. Is x at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a factor of 222779392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 15120*v**2 - 195828*v - 210952.\nAnswer: -4*(v - 3767)*(v - 14)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 98*k**2 - 22. Give p(-49).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514083, -2056224, -4626443, -8224734, -12851091?\nAnswer: -18505508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6*18\/(-2). Let p(r) = -2*r + 0*r + s - 3. Let t(u) = 5 - 5 - 3*u. Determine t(p(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(2 + -4)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from eiie?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44\/(-12)*(6 - 12) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(68\/104 - (-2)\/(-13)). Suppose 4*w + v*s - 58 = 0, s - 2 + 0 = 0. Calculate the remainder when 57 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1241 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283176997\/584 + 484892. What is the common denominator of -5\/73 and i?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25842 * 135\nAnswer: -34.8867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275574?\nAnswer: 2, 3, 13, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w. Let m(r) = 10249*r**2 - 5*r + 3. Give i(m(p)).\nAnswer: -61494*p**2 + 30*p - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**5 + 4*y**4 + 6*y**2 + 11*y. Let t(f) = f**4 + f**2 + 2*f. Let i(r) = 2*g(r) - 11*t(r). Factor i(z).\nAnswer: z**2*(z - 1)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(4\/(-64)). Let s be (b + 4)*5\/(-4). Let x = s - -1. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797968365.\nAnswer: 5, 17, 21152569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 11*o**2 - 14*o + 23. Determine r(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 38055, -7 in descending order.\nAnswer: 38055, 22, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7093 - 7001. Calculate the highest common factor of i and 1564.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/2301827 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*i - 2 = 0, -12 = 4*h + i - 5*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*d + 111. Suppose -d - 39 = 4*f. What is the units digit of (-1)\/(-3)*f\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6670 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 62, 147, 266, 419, 606, 827?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26.242914 months?\nAnswer: 0.21869095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-1))\/(-1) - 0. Let w be (-12)\/(-18) + (-2)\/(-6). Suppose 0 = -3*x + 5*u - 1, -w = 2*x - u - 2*u. Sort x, r, 2 in decreasing order.\nAnswer: r, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 2872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -259*h - 30. Let m(z) = 258*z + 27. Calculate -9*m(n) - 8*y(n).\nAnswer: -250*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186*o**3 - 11*o**2 + 9882 with respect to o.\nAnswer: 558*o**2 - 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 481 + -283. Is y < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.275, -0.3, 2 in decreasing order.\nAnswer: 2, 1.275, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -954903, -1909849, -2864795, -3819741, -4774687, -5729633?\n\"Answer: -954946*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:52 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 556 + -556.7. Let h = 13\/2 + -7. What is the nearest to h in -1\/3, q, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b + 819845730 = 0. Suppose -3*g = b - 568969146. Suppose -2*s + g = -12*s. Round s to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 1757*t**3\/6 - 603*t**2\/2 - 201*t. Find the first derivative of k(g) wrt g.\nAnswer: 1757","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18560175*r**3 + 20618603*r**2?\nAnswer: 111361050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1985\nAnswer: -198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 86237740 to the nearest 1000000.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 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: Which is the nearest to -7\/2? (a) 2\/19 (b) -4 (c) 1\/74590 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n + 2. What is the units digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-152)*-19*2*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + 488. Let i = -22776206 - -22776785.999174. Let u = i - d. Round u to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 6. Let i be (4 - 2)\/(2\/j). Is 5 a factor of (1\/i)\/((-4)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 - 165 + 8*z**2 - 5*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4076262 is divided by 1358754.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41512 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3*2\/3. Suppose 4 = -o*m + m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 17, 19, 19, 17, 13?\n\"Answer: -f**2 + 7*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1258 = 554 + 900. Are w and -2712 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16880 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*f**4 - 8*f**3 - 10*f**3 - 14*f**2 - 2*f**5 - 14*f**3 - 14*f**3 + 48*f + 32 = 0. What is f?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -43*k + 48*k - 2012, 0 = 2*b + 8. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a = -42*a + 80 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3546 + 3619. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/((-3025)\/(-22)))\/(4\/(-2512)). Which is smaller: o or 115?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 3*c**2 - 2*c**2 + 5*c**2 - 6 + c - 13*c**2 to p + z*c**2 + o*c and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 5*u + 4*f, 6*u + 19*f - 22*f = -96 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8235*l**5 - 313*l**4 - l**2 + l + 44823 wrt l?\nAnswer: 494100*l**2 - 7512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*(25\/35 - 1). Which is greater: y or 14\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156610195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4cd (base 15) to base 12\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 10 = 0, 0 = -7*z + 9*z - 4*i - 14. Solve -5*y - b - 6 = 0, 0*y - z*y + 2 = -5*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-18)\/(-15))*(-300)\/5. Let t = -47 + y. Let i(o) = 2*o - 4. Let f(g) = 1. What is t*i(a) + 2*f(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s. Let h(y) be the first derivative of y**2\/2 - 1. Give h(a(k)).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/8 - 19*a**4\/8 - 77*a**3\/8 + 43*a**2\/8 + 195*a\/4 = 0.\nAnswer: -13, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218013 - 136912201\/628. Find the common denominator of o and -131\/6.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 87, -4\/5 in descending order.\nAnswer: 87, 3\/2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 1 = 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.4 times 7?\nAnswer: -254.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*(f\/(f\/f**(-3)))\/f))\/f*f*f))\/f*f**(-4\/3))**(2\/83) assuming f is positive.\nAnswer: f**(-38\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h**2 - 5*h**2 + 2 + 3*h**2 + h**2 - h. Let a be p(-3). Sort 0, a, -9 in increasing order.\nAnswer: -9, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5\/3*m + 4\/3*m**2 + 2\/3 - 1\/3*m**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 882*w**3 - 45*w + 5 + 2*w**2 + 36*w - w**4 - w**4 - 881*w**3 to the form o*w + r*w**3 + b + j*w**4 + p*w**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10) + 9 + (-29 - -16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 21 = 3. Let f(b) = -b**2 - 9*b - 1. Let j be f(w). Calculate the remainder when 6 is divided by j\/4 + (-4)\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 21435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/(-26)*5\/(-31) and -71\/18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a - 9. Let l be (2\/a)\/(1\/(-3)). Suppose -l*f - f = -111. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*c - 2*c. Suppose 3*z + 5*k - 23 = 0, 2*z - 3*k + 3 = -7. Suppose -z = m - 6. Sort 3, c, m in increasing order.\nAnswer: c, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 4*c - 28 + 2*c)*(-21 + 21 - 2*c).\nAnswer: -12*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1 - sqrt(102))*3 - (sqrt(102)*3*-2 - sqrt(102)))\/(((sqrt(240)\/sqrt(4))\/sqrt(10) + sqrt(6) + 1*sqrt(96) + sqrt(6))*-5).\nAnswer: -sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 143440*y - 34510644.\nAnswer: 4*(y - 36099)*(y + 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84773317 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*t - 159 - 504 = 30*v, 123 = -2*t - 5*v + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*c**5 + 45*c**5 - 255*c**5 + (-2*c**2 + 0*c**2 - 4*c**2)*(-5*c**3 - c**3 + 4*c**3).\nAnswer: -292*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 2479 = -561. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-6 - (0 + -4))) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -4\/41 (b) 0.1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6978 = 1392*o - 52878 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10*8*-4*(-8)\/(-960)*15\/(-290)\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/5 + 23\/45. Suppose -6*o - 6 - 12 = 0. Which is the nearest to -0.1? (a) o (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/((l\/l**(2\/11))\/l))**(-2\/25) assuming l is positive.\nAnswer: l**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 543 in 6, -2\/7433, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -530.1 + 530. What is the fourth smallest value in 1, -7, -2, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -397\/10 + 39. Which is bigger: t or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i. Let y(x) be the second derivative of 8*x**3\/3 - 196*x. Give y(l(k)).\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 66*c + 71*c - 8*c + (-5 - c + 5)*(2*c - c + 0*c) in the form u*c + d*c**2 + a and give u.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148512 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95349 + -95347. Let h = 64 - -182. Calculate the lowest common multiple of s and h.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8870005ml?\nAnswer: 0.0008870005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 5*q - 4*q)*(-4 + 3 + 4) + q + 4*q - 4*q + (-4 + 2 + 3)*(-2*q - q + 4*q) - q - q + 0*q + 0*q + 2*q + 3*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4481 (base 12) in base 4?\nAnswer: -310132201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j**2 - j + 2. Let a be s(-10). Suppose w + a = 6*w + 3*x, -3*w - 2*x + 1207 = 0. Let u = w + -285. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/66703 or -2.16?\nAnswer: -23\/66703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14*k**2 - 79*k - 43. Let x be m(-5). Let q(r) be the second derivative of 0*r**x + 13\/6*r**3 + 0 + 7*r. Let i(b) = -b**2. What is q(i(c))?\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/11, 0.5, 11\/4, 2\/39, -1\/10, -1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 188*o - 184*o = 36, -v + 3*o + 9 = 0. Suppose -4*j + 2*j = 0. Suppose 0 = -4*z + 21 + 7. Solve j = 4*w - v - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*s, -123 = -3*h - 3*s + 5*s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 33 - 16*j - 122 + 49 + 41. Let u(i) = 5*i - 4*i - 3*i. Calculate u(f(o)).\nAnswer: 32*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*(i\/(i**0\/i))\/i)\/(i\/(i*i**1*i)*i)**(-1\/4) assuming i is positive.\nAnswer: i**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 306*t**2 - 80*t - 427. What are the prime factors of i(-5)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 9*n. Suppose v + 64 = -3*o, 3*v + 0*v + 3 = n. Let l = 12 - o. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686300 rounded to the nearest 10000?\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 52*i**2 - 171*i + 279. Is n(76) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.2513 times -10\nAnswer: -52.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.0965126.\nAnswer: 0.1930252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53, 180, 473, 1016, 1893, 3188, 4985, 7368?\n\"Answer: 14*y**3 - y**2 + 32*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -302*h + 1794 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10880\/11 - 988. Factor -n*l + 18\/11 + 2\/11*l**2.\nAnswer: 2*(l - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60878431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -16*l**3 + 285*l**2 - 35*l + 27. Calculate q(18).\nAnswer: -1575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (140\/(-30))\/14*30\/2. Sort k, 194, 1.\nAnswer: k, 1, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -0.3. Suppose 30 - 6 = -4*l. Let u be (0 + 1)*(l + (-150)\/(-24)). What is the nearest to r in 2\/13, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-340)\/(-50))\/((-4)\/60). Let i = d - -107. Let p(h) = h**2 - 5*h - 6. Let v be p(6). Solve v = -i*u, z - 5 + 4 = -4*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153968008*o**3*y - o**3 - 164004900*o**2*y + 2*o*y - o wrt o.\nAnswer: -923808048*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*q = -38, -5*h = 4*q - 3*q - 55. Suppose -10*w + h*w = 44. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c646b (base 13) in base 12?\nAnswer: 5ab026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 4*r**2 + 2*r. Let n be k(-3). Let j = n - -3. Suppose 3 = 3*w - j. Is 3 not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, 493, 0, -7, 1 in descending order.\nAnswer: 493, 1, 0, -7, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -59*b**2 - 7*b - 6. Let m be o(-2). Let x = -123 - m. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 55, 121, 223, 367, 559?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405162241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*v**3 - 8*b*v**2 + 538*b + 4*v**4 + 2432*v**2 - 66*v + 5 wrt v.\nAnswer: 12*b*v - 16*b + 48*v**2 + 4864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 22*o**2 + 24*o + 49. Give w(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*a + 7*h, -a = -3*h - 19. Solve a*d - 18 = -3*p + 2, 5*d = -p + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2407 + -1639. Suppose -5*r = -y + 10, -32*r + 4 = -2*y - 34*r. Suppose y*d + z = 8*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 814919*f**4 + 614*f + 1259.\nAnswer: 9779028*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 3*z + 2*z)*(3 + 2 - 27) to t*z + b and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((1\/(-6))\/(6\/(-36)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let b = 79.1 - 76. Let m = b - o. Is m >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1172625 to the nearest 10000.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*s**2 - 1 + 16*s**2 - s + 28*s**2)*(s**3 + 3*s**3 - 2*s**3).\nAnswer: 10*s**5 - 2*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 2*p. Suppose -p*n + 4 = -n. Let g(w) = 10*w**3 + w**2 - 2*w + 1. Let z be g(1). What is the greatest common factor of n and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(77)*-2 - sqrt(77))\/(sqrt(44)*5 + sqrt(11)).\nAnswer: -3*sqrt(7)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 653*l**2 - 5 + 4 + 650*l**2 + 2*l**4 + 2*l as r*l**2 + m*l**4 + i*l**3 + v*l + n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3779418?\nAnswer: 2, 3, 629903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000591 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 58912555?\nAnswer: -23565022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -26*g**3 - 20*g**2 - 17. Let a(i) be the third derivative of -3*i**6\/40 - 7*i**5\/60 - i**3 + 15*i**2 - 2. Give 17*a(j) - 6*p(j).\nAnswer: 3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, -169, 0.044?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/60 - r**4\/12 - r**3\/2 - 877*r**2. Let m(c) = 3*c**2 + 5*c + 5. Give 2*m(w) + 5*u(w).\nAnswer: w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 459063*y - 459041*y - 550 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 863*u - 863*u)*(-u**2 + 6*u**2 - 4*u**2).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/2)\/((-1)\/2) is divided by (2\/(-4))\/(1\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3139 by -511.\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -9488374?\nAnswer: -9488361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19760323.\nAnswer: 11, 19, 94547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 - 0 - (-766 - -694).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + (-68)\/7. Suppose 33 = 3*t + w - 12, 5*w = 0. Let f = b + t. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/4*(76 - 1488).\nAnswer: 2, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 43, -49, -179, -359, -601, -917?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t - 48. Let s be p(9). Let r = -57 + 35. Let m = s + r. Calculate the lowest common multiple of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -23*x + 53. Let b(p) = 200*p + 209*p - 10*p**2 - 402*p + p**x. What is b(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*r + 204, -2*a - 3*r - 106 = -7*r. Let f be ((-8)\/(-3))\/((-14)\/a). Solve 9 = -3*k - 0*k - 2*l, f = -4*k - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 14. Suppose -6*t - 5*t = 1232. Let p = -97 - t. Calculate the remainder when r is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-1) + 324\/27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454\/227*(-6)\/14?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13 = 2*u - 2, 0 = u - 5*d + 9. Suppose u*r - 36 = -3*r. Solve -r = -3*z + 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18504 divided by -1?\nAnswer: 18504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 311392217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 + b**2\/2 + 167*b - 37. What is the hundreds digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 - 17*x**2 - 17*x + 71. What is u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2 - 1)*-2. Let n = y - 3. Let j(b) = -14*b - 1. Calculate the remainder when j(n) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 338? (a) 0 (b) -1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 931 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86429 or -86469?\nAnswer: -86469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.54558 millimeters to kilometers.\nAnswer: 0.00005154558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 20 = 9*d. Let q(g) = -2*g + 2. Let b(j) = -9*j - 17. Let y(t) = -2*t - 4. Let a(l) = -6*b(l) + 26*y(l). Calculate d*a(r) - 3*q(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112622, -112653, -112684?\n\"Answer: -31*g - 112591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -222, 12232, 24686, 37140?\n\"Answer: 12454*d - 12676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(320) + 1)**2 + (sqrt(320)*-2)**2 + -4)*-1 + 4.\nAnswer: -1601 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 591446.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 38, 2, -6, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjdjw. What is prob of sequence dd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 6:58 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -22 - 32. Suppose 2*z + 5*p - n = 0, 0 = z - 0*z - p + 13. Let i = -8 - z. Put i, 0.3, -2 in increasing order.\nAnswer: -2, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejcjcjjjcjjc. Give prob of picking 2 j and 2 c.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 2)\/((-8)\/4). Suppose -3*s = 5*l - 41, -2*l = -y + 10. What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*5\/15 - (-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - i + 7 = 0, 5*i = -679*w + 678*w + 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*l = -0*l - 42, 5*x + 2*l = -61. Let y = x - -46. What is the highest common factor of y and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187 - -22. Let v = g + 164.7. Do v and -0.13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/20 + 3*o**4\/4 - o**3\/6 - 2*o**2 + 21*o + 31. Let p = 4 - 13. Determine c(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 at least -166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1265 and 21873901.8.\nAnswer: 21872636.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 3012 = 2772. Let x = -240 - y. Is -1\/180 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16965 by 3393.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (44 - (-3)\/3) + 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -68313.\nAnswer: 29\/68313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-187071.\nAnswer: -56121.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -33. Suppose -187 = -t*c - 4*p, 32 = 3*c - 2*c - p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (77 + 61 - 205 + 67 - 8602*m)*(4*m**2 + 0*m**2 - 2*m**2) in the form p*m + h*m**2 + x + s*m**3 and give s.\nAnswer: -17204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*g + 21*g + 19*g + 2 wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-117)\/65) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 5*k + 18880 = 5*s, 5*s = -k + 18892. Is 2*2\/8*s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.324 - -0.424. Which is the biggest value? (a) i (b) -0.1 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 784899787 to the nearest integer?\nAnswer: 28016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {x: 3, q: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 + 5*w**4 - 5*w**4 + (-6*w**3 - 9*w**3 + 4*w**3)*(4*w - 2*w - w).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - 23*u - 38. Let q(f) = -11*f**2 + 70*f + 113. Let p(o) = 3*q(o) + 8*y(o). What is the least common multiple of p(27) and 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/20, -0.5, 0.064?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2*((-11)\/275)\/((-2)\/(-5)). Which is the third biggest value? (a) k (b) -4 (c) 0.631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 6. Let f(l) be the third derivative of -l**5\/60 + l**4\/24 - l**3\/6 + 2*l**2. Let y(a) = -7*a**2 + 7*a - 6. Calculate k*y(n) + 5*f(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*g + 219, -2*g + a = 2*g - 281. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) 6 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 2\/3, -0.1, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 93, -3 in ascending order.\nAnswer: -3, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -28, 0.02, 2, 10\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/4 - 10*t**3\/3 + 9*t**2\/2 + 6*t + 8. Let p be x(9). Suppose p*c = 737 + 229. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 533415 in -6\/5, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -356 + 47. Suppose 367 + o = 2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -218 and 55.7743.\nAnswer: -12158.7974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = -8*g. Sort -8, g, 2 in decreasing order.\nAnswer: 2, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let f(m) = 1393*m. Calculate j(f(q)).\nAnswer: 2786*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9892*d**3 - 56961 + 28480 + 28480 - 1772*d + 2*d**2 wrt d.\nAnswer: 59352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 85\/4*s**4 + 82 + 45*s + 0*s**3 + s**2. What is the second derivative of n(h) wrt h?\nAnswer: 510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, j: 10}. Give prob of picking 3 c.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 40767*i + 22 = -40768*i - 0, -12 = -3*i for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*c - 4*a, -19 = c + 2*c + 5*a. Suppose -c*z + 6*z = 3*f + 701, -5*f + 158 = z. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7874, 33134, 75782, 135818, 213242?\nAnswer: 308054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53177 or -584949\/11?\nAnswer: -584949\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 divided by -3?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 645 and 23091?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21756812 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1) + 45\/(-20). Let x = 2.641 - 2.541. Which is the nearest to -2? (a) 30 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 69*u - 616. Determine k(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.136592 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 45638 = -45846. Calculate the greatest common factor of f and 880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 111?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuahp. What is prob of sequence upa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.02 (c) 0 (d) -1533 (e) 425\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 11, r: 2, z: 1}. What is prob of picking 2 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 276108.8 microseconds in seconds?\nAnswer: 0.2761088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -207.7, -5?\nAnswer: -207.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -985, -2204, -3885, -6010, -8561?\nAnswer: -11520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) - (sqrt(432) + -2) - ((sqrt(300) - sqrt(300)*1) + sqrt(300)))**2.\nAnswer: -84*sqrt(3) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7128 - -7133. Let b(c) = 17*c - 5. Let q(k) = k + 1. Give p*q(n) + b(n).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 21*g = 66*g - 729 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/317 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 2533752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 2442800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2832989 by 14.\nAnswer: -2832989\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 506*z - 19. Let x be k(5). Calculate the highest common divisor of 372 and x.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*w = -1941*w - 2396*w - 234*w + 12999. Determine b so that -63\/5*b**2 - 117\/5*b - 57\/5 - 3\/5*b**w = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 23426\nAnswer: -71\/23426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, -296006\/45, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:41 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, 2\/13, 0.4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/9 and -115\/1625532.\nAnswer: 4876596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 4)*(34948 - 34948 - 107*r)*(-r**3 + 0*r**2 + 0*r**2) to the form m*r**3 + a + d*r**4 + z*r + c*r**2 and give d.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5045160 is divided by 720703.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 58 = x, 5*s = 2*x - 7*x + 300. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13a - 5b2?\nAnswer: -71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1035200*z**3 + 662238 wrt z.\nAnswer: -3105600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m**0\/m))**(2\/11)\/(m*m**2)**(-2\/39) assuming m is positive.\nAnswer: m**(126\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*a**2*y**3 - 2*a**2*y**2 + 2*a**2*y + 2*a**2 - 291*a*y wrt y.\nAnswer: 642*a**2*y - 4*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -0.2 (c) 3 (d) 12.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2195*p**3 + 2*p**2 + p - 2. Let c be u(1). Let n = -1457 - c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.5066 months in decades?\nAnswer: 1.687555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -47*1 - (-4 - 0). Let f = -34 - b. Does 17 divide ((-6)\/f)\/(-1) - (-355)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32766 divided by 2?\nAnswer: 16383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 339655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(-1*sqrt(66) + sqrt(66) + sqrt(66) - sqrt(66)) - sqrt(66))\/(sqrt(6) + (sqrt(6) - -1*sqrt(6)*-1)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55\/2*j - 15*j**2 - 15 + 5\/2*j**3 = 0 for j.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = v - 11, 0 = -v - 6*t - 16 - 0. Let d(f) be the first derivative of 1\/2*f**4 + 3*f**2 - 9 - 2*f - v*f**3. Factor d(a).\nAnswer: 2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000318926 to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (-6)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2124*v - 2 + 2.\nAnswer: 2124*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, -3, -4 in ascending order.\nAnswer: -4, -3, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88208 and 47114992?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 6\/23042155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (-9 - -18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 - 3*r**2 - r - 5. Let h(s) = s + 6. Let p be h(-3). Let g(v) = 6*v**3 - 4*v**2 - v - 6. Determine p*g(l) - 4*t(l).\nAnswer: -2*l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -127 (b) -0.3 (c) 10 (d) -2.4 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 10:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -33. Find the second derivative of -q*t + 4*t**2 - 2*t**2 + 2*t**2 + 5*t**2 wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*g = 12, j - 2*g = -5 + 1. Let h = 7 + j. What is the greatest common divisor of h and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/18 and -71\/5256.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 18120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + sqrt(152)\/sqrt(8) + 0) + -5)*-6.\nAnswer: 30 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 57. Let h be 34\/y + (-173)\/(-3). Let u = h + -58. What is the nearest to u in 5, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-2\/3)\/w*w))\/w**6*(w**(1\/12)\/w)\/(w\/(w\/(w\/(w*w**7)))))\/((w*w*w\/(w\/((w\/w**1)\/w)))**(-35)*(w**(1\/2))**(-7)) assuming w is positive.\nAnswer: w**(161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 5:53 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 227591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 7*v - 13310*d + 13314*d, 2*d - 10 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 + 563919*m - 2255724 = 0.\nAnswer: -187977, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 31 + -23)\/(-8 + 13)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7218 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 43. Let y(z) = -z**3 - 3*z**2 + 5*z + 4. Let r be y(-4). Solve r*d = k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*(-2 + 5). Suppose -4 = -y*f - 0. Suppose -f*n + 5 = -n. Solve k - n = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than 11406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = -24. Let n be (-9)\/(1 - 1 - (-21)\/14). Is n at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**3\/3 - l - 18. Let s(f) = -3*f**3 + 6*f**2 + 6. Give 6*q(b) + s(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 939177780*n**4 - 882863064.\nAnswer: 3756711120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7194 - 7180. Solve -5*v - x = 3*m, m + 2*v - 3*v + 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 2*s - 126. Let p be g(-10). Suppose -30*b + p = -12*b. Solve -x - b*z = 2, 13 = -4*x + 3*z - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2389320)\/(-180) + 18\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146566805 to the power of 1\/2, to the nearest integer?\nAnswer: 56094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 - 4*r + 5. Let f be l(3). Suppose f*s + 1570 = 5*s - 2*u, 3*s + 4*u - 1540 = 0. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c**3 + 3*c**4 + ((4*c - 2*c - c)*(-2*c + 5*c - c) - c**2 + 2*c**2 - 2*c**2 + 0 + 0 - 2*c**2)*(2*c**2 + 2*c**2 + 8*c**2).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -i - 2*i. Let f = 24 - -6. Let l = i - f. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4756 and 27.9.\nAnswer: 27.4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161 - -34. Let v = -112 + m. What are the prime factors of (v\/5 - 0)*(-3 - -8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11*d + 100 = 0. Let k = 84 + d. Let q be 2\/(-3) - (-52)\/6. Calculate the greatest common factor of q and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -296\nAnswer: -21\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - 1 - (-25 + 29 + (47 - 66)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2*i + 12 + 2)*(-12 - 9 + 8).\nAnswer: -26*i - 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8524 is divided by 346.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 858*c - 2. Let d(w) = 863*w - 3. Give 4*d(v) - 5*p(v).\nAnswer: -838*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.728 to 2 dps.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*p = -3*q + 317*p - 128, 3*q + 148 = -5*p for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 41. Let y be o(0). Suppose 36*c + 125 = y*c. Let r = 34 - c. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1461750 + 21?\nAnswer: -1461727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 9:40 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(-3 + (1*sqrt(833))**2) + 1 + sqrt(833) + (5*(sqrt(833) + -1) + sqrt(833))**2 + -2.\nAnswer: -413*sqrt(17) + 25862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssunmdndnzszs. Give prob of picking 2 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18253 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -33 + -3 + (-2 - -14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 15*t**2 - 15*t + 16. Let s be f(-16). Suppose s = 2*u + n - 445, -2*u + 5*u - 664 = -5*n. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2518 and -0.6?\nAnswer: 2518.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 21*j - 11107 = 16*j, 11147 = a - 5*j. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(320))\/sqrt(8)*-6)\/(sqrt(96)\/((sqrt(432)\/sqrt(9))\/sqrt(4))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -794113383 to the nearest 1000000.\nAnswer: -794000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 3*m**2 + m - 12. Let z be j(-4). Which is the nearest to -3\/4? (a) 4\/3 (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -1358601466.\nAnswer: -1358601465.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 + -37922?\nAnswer: -378ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 463735665, 927471327, 1391206989, 1854942651?\n\"Answer: 463735662*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m + 245 + 275 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/2 - 2884*k**2 - 288862*k + 589264 = 0. Calculate k.\nAnswer: -5666, -104, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - (0 + -13 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 1, l: 1, h: 1}. What is prob of sequence ld?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 203360.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -d + 6*d. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 28*l**3 - 3*l**2 + 3*l. Let a(m) = -104*m**3 + 5*m**2 - 73*m**3 - 5*m - 59*m**3 + 179*m**3. What is 3*a(h) + 5*i(h)?\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 28 - 16 + 3*l**2 - 23 + l - 5*l. Is a(10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 21*m**3 - 10*m**3 - 9*m**3.\nAnswer: 2*m**3 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -270478.19 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.187833 microseconds in weeks?\nAnswer: 0.0000000003673740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18306)\/297 - (63\/(-11))\/9?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68900 - -40307. Let x = -4993663\/174 - -28699. What is the common denominator of b\/1620 + (-6)\/10 and x?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*y + 3 + (y + y - y)*(2 - 2 - 1) - y - y + 4*y)*(-1 - 2*y + 1).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 309276474 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/3*(-54)\/396?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2. Let u(r) = -6*r**2. Suppose -4*l = a + 13 - 1, 0 = -2*a + 4*l. Give a*u(p) - 3*j(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -20*h + 684. Which is smaller: h or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323610114 to the power of 1\/2, to the nearest integer?\nAnswer: 17989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 - (0 + 15))) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24515104 - -13?\nAnswer: -24515051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*h = -7, z + h - 4 = 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -81. Let z be l - -3 - (-3)\/(-3). What is the third smallest value in -0.5, z, -0.032?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 38*w + 1. Suppose 36*p = 32*p + 32. Let c be r(p). Suppose -4*g + 67 = -c. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 4. Let y(r) = 8*r + 5. Let o be y(5). Let t = 31 - o. Let h(b) = 3*b - 4. Let g(i) = i - 1. Give k*h(j) + t*g(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 5*o - 7. Let b be r(-2). Let z(i) be the first derivative of -i**4\/4 - 2*i**3 - 5*i**2\/2 - 5*i - 6. Calculate z(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*r + 7*r + i, -2*r + 4*i + 32 = 0. What is the remainder when 999 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 9*t**2 - 7*t + 9. Let h be v(-8). Let f be (-76)\/56 + (-2)\/(-4). Let j = f + 8\/7. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-40)\/100*(-2)\/4 and -67\/856.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 - -3775?\nAnswer: 4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -125.2788 (c) 2\/3 (d) -5 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 346, 696, 1046, 1396, 1746, 2096?\n\"Answer: 350*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v + 1. Let w(b) = 5*b**2 - 6*b + 4. Suppose -a + 1 = -2*s, a - 4*a = -5*s - 2. Determine a*w(x) + 6*r(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 86*h + 29. Let s be o(29). Which is the nearest to s? (a) -42 (b) 2\/21 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2277, -4606, -6935?\n\"Answer: -2329*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 4440*w**3 + 994520*w**2 - 3924960*w + 3907280.\nAnswer: 5*(w - 442)**2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2*t + 4, 2*t - 10 = -v - 3*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649515323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 1 + 15. Let u = j - -6. Let b = -9 - -13. Solve t + t - s = u, -b*t = -s - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8223811 divided by -7751?\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 428 * -0.026\nAnswer: -11.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3577270.257345 + -3577281. Let g = 59.742045 + l. Let a = g + -49. Round a to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 104\/(-32))\/((-54)\/24 + 1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/1*(-3 + 21\/2). What is the units digit of (((-1134)\/(-35))\/((-6)\/r))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17371.3569 + -17388. Let l = -16.19 - p. Round l to 2 dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/4 - 1683*k**2\/4 - 702195*k\/4 + 4998175\/4 = 0.\nAnswer: -845, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -184*x - 123*x - 15*x. Let p(l) = -14*l. Let o(i) = 3*b(i) - 70*p(i). Let n(m) = 15*m**2 - 23*m**2 + 7*m**2. What is o(n(y))?\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (47 - 47) + 39\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.043? (a) 1.4 (b) 0.18 (c) -1\/10 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51090\/(-7860)*2\/1248?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = -5*d + 163. Let t = -36 - d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1107 + 1128. Suppose v = -g*v. Determine a, given that v + 7\/6*a**2 - 1\/6*a**3 + 0*a = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**40\/(f*f**15*f*f) assuming f is positive.\nAnswer: f**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/20 + 35*r**4\/12 + 73*r**3\/6 + 20*r**2 - 18*r. Let s be d(37). Solve -10 = -2*l + 4*j, s*l - 2*j - 5 = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 12*c**2 - 6*c - 40. Give s(8).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1346 and 22.202916379.\nAnswer: 1368.202916379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -3 - (7 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(25)\/sqrt(5))**2 + 5))*3 + (sqrt(320) - (-4*(sqrt(320) + 1))**2).\nAnswer: -5166 - 245*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 363*h**2 + 11*h - 5. What is the hundreds digit of c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.110974 months to millennia.\nAnswer: 0.0021759145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c - 110 = 0. Let g = c + -12. What is the smallest common multiple of 18 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15656463 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 + 146*r + 149. Let s be d(-1). What is the smallest value in 4\/15, s, -2, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivirvirrvvr. Give prob of picking 4 r.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -4*v + 3*z, -4*z = -2*z. Suppose 0 = -4*x + 10*m - 11*m + v, -2*x + 11 = -3*m. Solve -w - x = 2*g, 0 = 2*g - 2*w - 4 - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20409 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let l(z) = 8*z. Let m(p) = -18*f(p) + 2*l(p). Let b(h) = 36*h**2 - 35*h**2 + 18 - 13. Give b(m(v)).\nAnswer: 4*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.97931 decades in millennia?\nAnswer: 0.0397931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u + 8. Let g be u\/(2\/(-2)) - -2. Suppose 0 = 4*p - g - 12. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/54 and 125\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31162\/165 + -6206\/33. Solve -4\/5 + 8\/5*p**2 + 0*p - w*p**4 + 0*p**3 = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*2 + 4 + -5. Suppose -3*n + t = -2*n - 4, -t = p. What is a in -3*a**3 + 4*a**4 - 2*a**n + 0*a**4 + 7*a**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 6, 0.2, 2\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -3. Suppose -2*n = 4*d - 5*n - 66, 5*n = -g*d + 64. What is the derivative of 8 - 6*m**3 + 7*m**3 + d*m**3 wrt m?\nAnswer: 57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -15*p. Suppose 42 = 30*x - 33*x. Let s(g) = 2*g. Determine x*s(y) - 2*n(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 - 3*z - 3*z**3 + 6*z**2 + 1 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -282*t**4 - 1122*t**4 + 348*t**4 - 837*t**4 + 564 with respect to t.\nAnswer: -7572*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a day?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -831.6 + 832. Suppose -2*r = r - 9. Put -0.3, i, -4, r in descending order.\nAnswer: r, i, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - j + 1)*(-561*j + 52*j**3 - 26*j**3 + 700*j**3 + 551*j) in the form p*j**2 + c*j**3 + l*j + v*j**4 + w and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563019020?\nAnswer: 2, 5, 19, 61, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -22*i**3 - 127*i**2 + 256*i - 6. Calculate c(2).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 2*z**5\/5 + 43*z**4\/4 - 71*z**3\/3 - 23*z**2 - 3472. Factor f(p).\nAnswer: p*(p - 2)*(p + 23)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -124, -178, -216, -232, -220?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56167 and 9.\nAnswer: -505503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -773 - -754 - (2 - (54 + -2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 - 3*a**2 + 7*a**2 + 2*a**2. Let h(i) be the second derivative of -25*i**4\/12 - 52*i. Determine h(s(x)).\nAnswer: -225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q + q)*(-46 + 22 - 123)*(-4 - 1 + 3).\nAnswer: -294*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -593\/10689 + 4\/509. Put -3\/7, l, -5 in decreasing order.\nAnswer: l, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24929, -24928, -24927?\n\"Answer: u - 24930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmpo. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-20) + 23\/5. Suppose -3*h - 20 = -4*w - 6*h, -w - n*h = -18. Suppose -3*b - 4*z = -193, b + 132 = 3*b + w*z. What is b rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-7)\/175*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let v(n) = -2*n + 2. Let r(i) = 4*i - 6. Let k(y) = 3*y - 5. Let l(x) = -5*k(x) + 4*r(x). Let g(z) = 2*l(z) - v(z). Give g(p(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 431?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37552 - -37554. Let u be 6\/10 + 12\/5. Solve -i*o - u = s, -3*s + s = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 9*j + 6. Let m be z(8). Let q be (2\/(-1))\/(m\/(-13)). Let s(i) = -7*i - 6. Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3508 times 13056?\nAnswer: -45800448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2, 0, -7\/3, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*g**2 + (5*g - 2*g - g)*(5*g + 6 - 6) + (-1 + 0 + 0)*(-4*g**2 + 0*g**2 + 3*g**2) + 1 - 1 + 2*g**2 - 2 - g**2 + 2 + 2*g**2 + 2*g**2 - 5*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + -1*-4*sqrt(931))**2.\nAnswer: 14899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/8))\/(((i*i**6\/i)\/i*i)\/i)*i**(2\/3)\/i**1)\/(i**(-6)\/(i*i\/(i\/i**(2\/17)))*i**(-4\/5)*i**(-2\/11)) assuming i is positive.\nAnswer: i**(81707\/22440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -18.7377?\nAnswer: -1.87377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 20, -0.104, 4\/9, 0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - h - 4, -6*z - h - 4 = -5*z. Let a be (2 - z)\/(2\/3). Let k be 26\/8 + (-1)\/4. Calculate the greatest common factor of k and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 3, p: 1, g: 6, x: 4, q: 1}. What is prob of picking 1 k and 2 g?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (953 - 903) + 1 + -2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*12*(-21)\/378\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 66*q**2 + 65*q**2 + 888*q + 2.\nAnswer: -q**2 + 888*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2716 divided by 194\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u + 19. Let z be o(-8). Let i(x) = -x**3 - 7*x**2 + 7*x - 4. Let l be i(-7). Do l and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01423 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1364498um?\nAnswer: 0.0001364498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**3\/2 + 9*v**2 + 15*v\/2 + 2 = 0.\nAnswer: -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -18971*u**2 - 4*u. Let q(p) = 2561094*p**2 + 541*p. Determine 4*q(b) + 541*v(b).\nAnswer: -18935*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49961 and 0.5?\nAnswer: -24980.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 6*g - 1858 = 0, -16*g = 5*p - 12*g - 1872. What is the remainder when p is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225099 divided by 7\nAnswer: -32157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113544 and 36632.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1519*k - 24*k - 5081*k + 526 - 887 - 2935 wrt k?\nAnswer: -6624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 4*t + 4. Let q(x) = -8*x**2 - 7*x + 7. Let h(b) = 7*f(b) - 4*q(b). Let n be h(-1). Solve 4*o = -0*o + n*i + 12, 3*i = 5*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 17\/5. Let i(a) be the second derivative of a**5\/20 - a**4\/12 + 5*a**3\/6 - a**2 + 22*a. Calculate the remainder when i(t) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16290593 - -22990593. What is u rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -49. Solve -a*o - 18 = 2*z, -2 = o + z + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r + 5*y - 6 = 0, -3*r + 2*y = -34. Suppose r*t - 264 = 11*t. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/13 - (-1296)\/312 - -219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-2)\/(-1 + 11)). Let s = 0 - -5. Let k be (-10)\/(-16) + (4 - s). Which is the third smallest value? (a) o (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 393*z**2 - 2386*z - 3192.\nAnswer: (z - 399)*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16684, -16000, -14858, -13258, -11200, -8684, -5710?\n\"Answer: 229*y**2 - 3*y - 16910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 9. Let r be z(0). Let b = 3590 + -3588. Suppose 4*k - 21 = -3*d, 0*d + d + 12 = 5*k. Solve k*c = 2*l + 2*l - 21, b*c = l - r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9120 by 3040.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 647, 717, 833, 995, 1203, 1457?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.644 and 0.3.\nAnswer: 0.1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25757 is divided by 44?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*x + 128, -3*x + 42 = -7*r + 788. Calculate the least common multiple of r and 236.\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 + -152. What is the lowest common multiple of d and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2363 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1733129 divided by -34.\nAnswer: 1733129\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 6:54 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (6 + -3 + 10 + 3 + -14).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 3440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10 - (-9 + (-462)\/(-30))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5457.\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-6 + 1 + -7 + 14 + -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2 + 10*x**2 + 0*x**2 + 3 - 9*x**2. Let w be a(0). Suppose -2 - w = -p. Which is smaller: p or 15\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -411, 2, 12 in descending order.\nAnswer: 12, 2, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.102758 milligrams?\nAnswer: 0.000102758","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 1659 times -0.24?\nAnswer: -398.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 232245357 a multiple of 2901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014941 is divided by 11756.\nAnswer: 3925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 728.6486 years?\nAnswer: 0.7286486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((5*k - 4*k + 0*k)*(0 - 4 + 5) + 2*k + k - 2*k)*(3*k + k - 5*k) + (-2*k + 5*k - 2*k)*(0*k + k - 2*k))*(-250*k - 2686*k - 2283*k).\nAnswer: 15657*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 305152099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-7))\/(-5*4\/140)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/23, 1\/6, 1, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.43904 + -0.06096. What is the fourth smallest value in -0.1, i, -2, 4, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b + 0*b)*(3 - 2 + 2 + (-6 + 1 - 1)*(0 - 3 + 1))*(-4 - 149 - 35).\nAnswer: -2820*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246892 is divided by 449189.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -95*h - 37. Let w be i(3). Let x be (552\/w)\/(6\/(-28)). Solve x*g = -8 - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1878711 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*s - 14*s - 15994. Let q = s + -665. List the prime factors of q.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445418021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -9) + (-3 - (-2 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -317.\nAnswer: -4\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3986)\/13951*(-5)\/(30\/189).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((0 - 1)\/2). Let w = -22289 + 22292. Let j = -159 + 159. Solve j = -q*k - k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -696\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/54 and 89\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 19 = -5*h, -h = -0*h + 4*m - 14. Solve -4 + 9*a - 36*a**3 + 12*a + 18*a**2 - 2 + 3*a**h = 0 for a.\nAnswer: -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129380 to the nearest 1000.\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4904085?\nAnswer: 3, 5, 326939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2. Let v = -5 - -8. Let w(p) = -p + p + v*p - p. What is w(u(m))?\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {j: 1, l: 2, z: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 9*j + 22. Let y be c(-5). Suppose 3*x - v = 83, -y*x - 4*v = 6 - 38. Calculate the remainder when 51 is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let y(u) = -2*u - 312. What is n(y(t))?\nAnswer: 4*t + 624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-3))\/((-142)\/(-71))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -57, -87?\n\"Answer: -30*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 + 14 = 2*q, -3*q + 2*a - 1 = 0. What is the remainder when (0 - -12)\/((-12)\/(-8)) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 3 + 0*u + 4*u. Let o be m(0). Suppose 12*z = 25 + 23. Solve -o*c = -z*k + 5, -3*k + c = -2*c - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -17*a**2. Let s = 17 + -9. Let z(b) = -6*b**2. Let o(h) = s*z(h) - 3*k(h). Let j(c) = -c - 6*c - 2*c + 2*c + 3*c. Determine j(o(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -18.5 (b) -34 (c) -493\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6) - (-10)\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 3\/2*l**2 + 0 - 4\/3*l**3 - 7*l. Find the first derivative of n(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004446414 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 149903 divided by -48\nAnswer: -149903\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let a(f) = -291*f + 1. Give a(q(c)).\nAnswer: -291*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1784 - 13555*g + 1784.\nAnswer: -13555*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78564*y - 78562*y = -4*g - 2, 8*g - 2*y + 52 = 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -317.39 + -0.05719.\nAnswer: -317.44719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-102834)\/(-406) + 12\/7 + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, g: 4, d: 2}. What is prob of picking 2 g and 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14954*o**2. Let a(m) = -m. Give n(a(z)).\nAnswer: -14954*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*a - 352, 0*m + 2*m + 4*a + 128 = 0. Let d be 1346\/16 - (-9)\/m. Suppose 6*h - 6 = d. What is the remainder when 57 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 14. What is the highest common factor of r and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*m = 116, 3*n = 8*n + 3*m - 129. Let k(f) = -4*f - 11. Let i be k(-6). Let p = n - i. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgg when three letters picked without replacement from vgvkggvkvg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:16 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 710 by -366.\nAnswer: -355\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28687814 rounded to the nearest 100000?\nAnswer: 28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 6*w**2 + 8*w**3 - 4*w**3 - 9*w**2 + 18*w**3 in the form x + b*w + g*w**3 + k*w**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-11) + 13425\/55. Calculate the highest common factor of 183 and h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11871, 47457, 106767, 189801?\nAnswer: 296559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 14 + 0 + 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16163426 (base 7) in base 14?\nAnswer: -2c92bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 351*j + 29581. Calculate f(-213).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-4 + 5 - 2)*(-7*j + 8*j + 7*j)*(2*j - 1 + 1 - 2*j**3).\nAnswer: -32*j**4 + 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 125 + 27. Let z = -15 + -38. Let w = z - v. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/41, -1\/8, 0 in increasing order.\nAnswer: -1\/8, -3\/41, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/5 and 4.6859135 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 2}. What is prob of sequence nee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-38)*l*l*l**15)\/(l**(12\/5)\/l*l**(-4\/3)))**3 assuming l is positive.\nAnswer: l**(-316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 - 348. Let b be 2\/12 - k*(-8)\/192. Let h(g) = -3*g**2 - 3*g - 4. Calculate h(b).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)\/(-1) + -8. Let o = -4 + -1. Let z = o - q. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0915236 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/14, 0.3, -4642?\nAnswer: -4642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117652048 by -16.\nAnswer: -7353253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*o + 505*o - 21 + 16 + 1 + 181*o.\nAnswer: 757*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + 6*m)*(m - m + m) + 4*m**2 + 4*m**2 - 5*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**2\/2 + 1. Let p(q) = -2*q**3 + q**2 - 1. Let o be p(-1). Let x(d) = -4*d + 2*d - o*d. Give x(w(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3674 + 2678 = 83*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - n + 39 = 3, c - 12 = -n. Suppose -6*u + c = -0. Does 13 divide ((-104)\/12)\/(u\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(2\/3)*t*t)\/t)\/t)**(2\/25)\/(t**0*(t*t**(-4\/3))\/t) assuming t is positive.\nAnswer: t**(116\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1196 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -52686.\nAnswer: -1\/52686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1390, 1391, 1392?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140228 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 235 = n - 234, 2*c + 41 = 5*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by -34\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 + 5*h**4 + 25*h**3 + 15*h**2.\nAnswer: -5*h**2*(h - 3)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 18.1. Which is smaller: 3\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -148*g**7\/21 - 442*g**6\/15 - 219*g**5\/5 - 71*g**4\/3 + 2*g**3\/3 + g + 93. Factor k(l).\nAnswer: -4*l*(l + 1)**3*(74*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9*p - 4*p = 21, -6 = a - 2*p. Suppose a*r = t + 3*r - 8, -2*t = r - 4. Suppose 0 = -q + 2 + t. Solve -j - q = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16426 (base 10) to base 7.\nAnswer: -65614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 2*s - 174*s**2 + 344*s**2 - 2*s**4 - 1 - 176*s**2 to t*s**3 + v*s + m + r*s**4 + l*s**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 24*f + 4 + 9*f - 1341*f**2 + 1324*f**2. Suppose m - 2*m = -18. What is the tens digit of z(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 14\/6)*(-6)\/4. Let u be (-7 - -90) + 1 + 1*4. Calculate the greatest common factor of u and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 25*n - 19*n - 10*n.\nAnswer: -49*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7615*v**3 - 23*v**2 + 337*v + 46. Let q(x) = -952*x**3 - 3*x**2 + 44*x + 6. Calculate 6*i(s) - 46*q(s).\nAnswer: -1898*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -31*d + 172. Let y be r(5). Solve y*o + 247 = 298 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000220 (base 3) to base 11.\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + ((4 + 0 + sqrt(112))*3 + 4*sqrt(112)*-1 + sqrt(112) + (sqrt(112) - ((sqrt(112) + 1)*-4 - sqrt(112))))**2)*4.\nAnswer: -17136 - 3072*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, u: 3, c: 6, i: 3}. What is prob of sequence ciit?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9861.\nAnswer: 3, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {z: 7, y: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 + 365. What is the lowest common multiple of n and 36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 720 - 718. Let i = 99 + -723. What is the hundreds digit of ((-23)\/46)\/(y\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -55. Suppose 0 = -14*f + 11*f + l. Solve 2 = -f*m - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8) + 9\/12. Suppose n = -2*a + 14 - 6. Let v = 0 + 6. Solve a*b = v*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -20. Suppose 2*p + 2 = x. Solve 3 = -3*l - p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308961, -308959, -308957, -308955, -308953?\nAnswer: -308951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1396\/23034*(0 + 3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201 != -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/28 - (-319)\/924. Which is the nearest to -0.7? (a) 0 (b) n (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181929072.\nAnswer: 2, 3, 13, 53, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 34586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 362 + -362.5. Which is the fourth biggest value? (a) 5 (b) 4\/5 (c) f (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 175 - 363 + 189. Let w(q) = q**2. Give 5*b(i) + 5*w(i).\nAnswer: 5*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + m**2 - 236*m - 982. Let a be g(-4). Is 845\/8 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/53, -0.5, 0.137, 0.26, 0.4, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 898853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kjkgagkaka.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/60 - 2*i**3 + 4*i**2. Find the first derivative of a(h) wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) + (81\/42 - 2). Let w = 8 + -3. Suppose 5*t + 5*m = 2*m + 12, w*t - 2*m = -8. What is the third biggest value in t, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-6) - 77\/(-21). Solve 0 = p*r + v + 1, 0 = 2*r + 2*v - 7*v - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31087, -31063, -31023, -30967, -30895, -30807?\n\"Answer: 8*f**2 - 31095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose q*v = u - 120, -2*u + 3*v - 4*v + 205 = 0. Suppose 2*s - 7*s + u = 0. Solve 5*r - 2*w - 2 = -6*w, 3*r + s = 5*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o + 47. Suppose 8*p + 4*f - 68 = 0, 0 = -5*p + 5*f - f + 23. What is the remainder when o is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4744 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/10)\/((-4)\/10). Let u = -33 + 38. Is u > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*z - 4045 = 0, 3*b + 0*z + 2*z = -12065. Let f = b + 40293\/10. What is the common denominator of f and -2 - -4 - (-248)\/(-36)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 38 = -b - 2*l, -2*l - 2 = 0. Suppose -b*a + 1421 = -5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 20*c + 0*c)*(3*c**4 - 6*c**4 + 0*c**4).\nAnswer: -60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 18 = -8*s. Let l(w) = 5*w**3 - 2*w**2 - 3*w + 1. What is the units digit of l(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 9*g - 53. Solve -40 = -g*a + k - 5*k, 6 = -a + 2*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -155*q**7\/7 + 5*q**3 + 5*q + 11. What is the third derivative of d(b) wrt b?\nAnswer: -18600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 953.929 years?\nAnswer: 95.3929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88174 + 88176 - 176350 + 236*o.\nAnswer: 236*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e - -2d842?\nAnswer: 2d871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {a: 2, i: 5, j: 5, c: 2, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304 + 614 + 91*m - 308.\nAnswer: 91*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96.34 + 83.4. What is g rounded to one decimal place?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 47149.27\nAnswer: -990134.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835746 is divided by 1437?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g*(g\/(g\/(g*(g\/((g**(-5)*g)\/g))\/g)*g))\/g*g*g)*g)**18)**45\/((g\/(g*g**2))\/g**8)**36 assuming g is positive.\nAnswer: g**(-5310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + 19 - (57 - (17 - -11)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2145)\/5577)\/((-3)\/117)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 280631.\nAnswer: 1122524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzx when three letters picked without replacement from {x: 2, z: 2, a: 4, d: 8}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (84\/35)\/(-6)*630\/21\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*-3*17\/(-6). Let n = 78 - t. Does 9 divide 2\/n + ((-3712)\/28)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3354, -3358, -3364, -3372, -3382?\nAnswer: -3394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7669 - 5139. What are the prime factors of u?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 332 + 372 = -4*s, 8*a + 47 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*u - 0*c - 36, 2*c + 15 = u. Suppose u*h - 15*h + 320 = 0. Let s = 118 - h. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2963\/5 - -53789\/90. Let j(y) = 83*y + 2. Let r be j(2). Calculate the common denominator of ((-68)\/r)\/(1\/(-3)) and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 18075240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.63 - -4.37. What is the closest to 2\/15 in -0.3, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and 150141.2.\nAnswer: 4804518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145\/133 + 37\/19. Factor 0 + 3\/7*n - j*n**2 + 3\/7*n**3.\nAnswer: 3*n*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*3\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c + 6. Let t be a(1). Let f be (-14)\/(-4)*t - -1. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 5*w + 32, -5*c + 22 = 3*w - 10. Calculate the common denominator of 29\/4 and (26\/42)\/(c\/(-36)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**3 - 4*l**2 - 4*l + 1. What are the prime factors of f(-2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-40)*(9 + -13 - (-169)\/26).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a74d (base 14) to base 4.\nAnswer: -121303301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -821, -732, -619, -470, -273?\n\"Answer: 2*x**3 + 75*x - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19912.000039088 + -19912. Round k to seven decimal places.\nAnswer: 0.0000391","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 325, -1479, -3289, -5105, -6927, -8755, -10589?\n\"Answer: -3*j**2 - 1795*j + 2123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 43. Let c be p(-5). Does 24 divide 1*c*(-400)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3 = t, 4*h - 74 = t - 76 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11952 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 342472 - 6167927\/18. Let u = 1667\/9 + a. Calculate the common denominator of (4\/240)\/((-5)\/6*63\/(-10815)) and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 + -136.00008. What is z rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -13*f**3\/3 - f**2\/2 + 2*f - 877. Determine m(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*k + n, 3*n + 10 = -5*k - 0*k. Suppose 5*f + 5*t - 50 = 0, 0 = -2*f + t + t. Let a = f + k. Solve -a = -2*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -107*y**3 + 2*y**2 + y - 2. Suppose 17*m = 1 - 18. What is the remainder when h(m) is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7522 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 - (-8 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1037 - -856. Suppose -6*t + 5*t + u = 0. Suppose 0 = 2*s - 2107 - t. What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 5*h**3 - 2*h**3 - 3*h - h**3 + 3*h + (0 + h + 0)*(-7*h**2 + 4*h**2 + h**2) + (h + h - 3*h)*(-2*h**2 + 3*h**2 + 0*h**2).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(72) + 2 + 1)*4.\nAnswer: 48 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 31 = -5*s - 8*k, 4*s = k + 29. Suppose 0 = z + z + 16. Put z, -2, s in decreasing order.\nAnswer: s, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*h = 136*h - 5718 - 882 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 9*r - 20. Let w(z) = 6*z**2 - 4. Let x(u) = -u**2 + 1. Give r*w(n) + 3*x(n).\nAnswer: 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*b - 23 + 32, 2*z = 4*b + 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i*l**3 + 72*i*l*y*z - 79*l**3*y - l**3*z + y*z**3 wrt z.\nAnswer: 72*i*l*y - l**3 + 3*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/4 + w**3\/6 - w**2 - 2*w. Let x be q(1). Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 8819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u - v, 4*v + 5 + 5 = 5*u. Suppose -2*t + 16 = h + u*t, -3*h + 20 = 5*t. Suppose c + h + 1 = 0. Let j(y) = 5*y + 1. Calculate j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1154904968 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-270)\/(-120))\/(6\/8). Suppose 0 = -f*j - 7*j - 20. Let z(b) = -8*b**3 + 3*b**2 + 3*b. Let g(o) = -7*o**3 + 2*o**2 + 2*o. Give j*z(s) + 3*g(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b + -1a?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15.36534ml?\nAnswer: 0.01536534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 4, 18, 38, 64, 96, 134?\n\"Answer: 3*d**2 - d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 7*d - 13. Let g be t(-10). Let m = -38 - g. Suppose -76 = -m*n + 39. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(-6*(5 + 2*sqrt(847)) + 1))**2.\nAnswer: 117216*sqrt(7) + 1963809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1418 - -2502. Let x = g - 963. What is the remainder when x is divided by 111?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-3*(sqrt(99))**2 - -6*sqrt(11)*1)).\nAnswer: -1794 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j - 64 = 0. Suppose 3*q - j = -2*p - 5, -q + 4*p = 15. Let s(n) be the second derivative of -13*n**5\/20 - n**3\/6 - 26*n + 2. Give s(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/15 - 62*q**4\/15 - 58*q**3\/5 - 34*q**2\/3 - 56*q\/15 = 0. Calculate q.\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 8758\nAnswer: -1\/8758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 8*q - 5 + 4*q. Calculate the remainder when 32 is divided by y(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*x - x + 1.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 269721 - 269721 - 134*t**3 - 4*t**2 in the form y*t + l + z*t**2 + d*t**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 5) in base 13?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4*-5)\/(1\/(-2)). Suppose 0 = 2*q - 7*q - z - 886976, o*z - 532180 = 3*q. Let p = q - -304395. What is p rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2246233 (base 7) to base 8\nAnswer: 1044170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108.9 + -11.9. Let d = 0.15816059 + 96.84184037. Let f = w - d. Round f to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*i = -1725, 0 = -2*i - 2*i + 20. Suppose u = -5*f + z, -2*f + 0*f - u = -174. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 23*l + 12. Let w be (-2)\/((-4)\/l) + 340\/40. Solve 2*g - w*g - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24415600 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2507987409 to 4 dps.\nAnswer: 0.2508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, 5, -0.0245 in decreasing order.\nAnswer: 5, -0.0245, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 2*w**3 + 0*w + 5*w**2 + 0 + 1\/2*w**4 - 3\/20*w**5. Suppose v(n) = 0. Calculate n.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + 2\/3. Let n = -33.2 + 53. Let p = 20 - n. Which is the second biggest value? (a) p (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39379757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*o + 238, -3*h + 13*o + 139 = 8*o. What is the remainder when 815 is divided by h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101101101 + -110?\nAnswer: -101101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 153. Let x = 52 + n. What is the remainder when ((-52)\/(-10) + x)\/(6\/15) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519*v + 258 = 522*v. What is the remainder when v is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3534 = 5*u - 721, -u + 4*h + 832 = 0. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:06 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}