diff --git "a/data/dm_maths/full_data_2/10763_11255.jsonl" "b/data/dm_maths/full_data_2/10763_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10763_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate 5 + (-18 + 1 + 8 + -4 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7687 is divided by 7563?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001838024107 rounded to six dps?\nAnswer: -0.001838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-9))\/((-4)\/6). Let i(p) = 0*p - p - p - s. Suppose 10*g = g - 36. Let k(r) = 1. Determine g*k(x) - i(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1807+-3918472637\nAnswer: -3918474444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4. Let b be (16 - (-2 - -2)) + s. Suppose -3*d - 3*g + b + 6 = 0, -5*d - 4*g + 36 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -531?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {l: 1, g: 1, r: 1, c: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*j - 32. Let l = 24 - j. Solve 0 = -0*s - 4*s - l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40255 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/4 and 27\/4838788.\nAnswer: 4838788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-117)\/(-18) + -9). What is the nearest to 1\/3 in f, -6, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*2*5\/20. Sort w, -17, 1 in ascending order.\nAnswer: -17, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -169*i. Let s be b(1). Let c = -1187\/7 - s. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/4 - -5\/4. Suppose 0 = 5*w - 0*w + 40. Let g = w - -5. Is g less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 307164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 6\/40737199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16862 - 8982. Let t be (-27534)\/j + (-1)\/(-4). Let v = t + -11\/197. Find the common denominator of v and -115\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2.02, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 197*l - 5737. Calculate c(32).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*a**2*s - 5*a**2 - 4*a + 2*h**2*s**2 + 3*h**2*s + 3*h**2 wrt s?\nAnswer: 11*a**2 + 4*h**2*s + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 5*p**3 - 2*p**3)*(1 - p - 1)*(-p + 7*p - p).\nAnswer: 30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 2*v**2 - v**2. Let i(n) = 4*n - 2. Let y(r) = -17*r + 9. Let h(t) = 9*i(t) + 2*y(t). Give k(h(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44681516879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021179 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 = -3*q. Suppose 5 - 17 = -q*r. Find y, given that -4*y**4 + y + y**4 + 3*y**2 + r*y**4 + 3*y**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/3 - 1978*r\/3 - 22000\/3 = 0.\nAnswer: -11, 1000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1781760?\nAnswer: 1781760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -296?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2057)*-2 - sqrt(2057)) + -1 + -2 + sqrt(2057) + -4 + sqrt(2057) + -3 + -3 + -1)**2.\nAnswer: 220*sqrt(17) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(3 + (sqrt(304) + -4 - (sqrt(57)\/sqrt(3) - sqrt(19))*-3) + 4))**2*5.\nAnswer: 360*sqrt(19) + 4695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 259*r**3 + r**2 - 10*r + 5. What is the units digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 21*n. Let m(u) = -47897*u**2 - 3*u - 1. Determine m(q(b)).\nAnswer: -21122577*b**2 - 63*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -912a9 (base 15) to base 4\nAnswer: -1300031121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388826876 to the power of 1\/2, to the nearest integer?\nAnswer: 19719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-6)*(-9)\/(-27). Sort -2, -1, r in decreasing order.\nAnswer: r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573448 (base 9) to base 7\nAnswer: -2631056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130070173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2193 - -5617. Let h = v + -1544. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 287*b**3 + b**2 + 4*b - 3. Suppose 0 = 2*j + 7*j - 18. Is l(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18745, 37190, 55345, 73216, 90809?\n\"Answer: z**3 - 151*z**2 + 18891*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**48*(((z*z**(-1)\/z)\/z)\/z)\/z**(1\/4) assuming z is positive.\nAnswer: z**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1176243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-120)\/(-16)*(-2)\/3. Let t be o - (0 + -4 + -1). Suppose 2*n = -t*n - 2*n. Solve n*d = d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4501 (base 9) to base 15.\nAnswer: -eb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66397\/5 + -9*(-4)\/60. Let r = c + -7170. Round r to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(1 + sqrt(208)) - (6*sqrt(208)*1 + sqrt(208)))*3*4 + 4.\nAnswer: -144*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4450 + 44?\nAnswer: 4534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -22*y - 648. What is the highest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 48 = -4*s + r, 0 = -r - 3. Let z(u) = 19*u + 155. What is the tens digit of z(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = -4*a. Let w(l) = 3*l**2 + 2 - 5 + 6 + 2*l - 1. What is the remainder when 17 is divided by w(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, -144, -438, -884, -1500?\n\"Answer: -3*w**3 - 49*w**2 + 8*w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -4, -1, 1 in descending order.\nAnswer: 1, -1, -4, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 smaller than -389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*r - 586*r - 4838 + 21545 = -67389 for r.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.48 - -2.78. What is the second biggest value in -3, 2\/25, t, -1\/2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17304249, -17304250, -17304251, -17304252?\nAnswer: -17304253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -17904.\nAnswer: -1\/17904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33768680 * 0.5\nAnswer: -16884340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 4*r + 3*r + 3 + 2*r - 3 + (-2 - 1 + 1)*(-2 - r + 2).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 - 2 - 6)*19\/323. Suppose 0*s = -2*s + 24. Suppose -2*b - 2*p + 6 = 0, -2*p + s = 4. Which is greater: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.69033174 + -8.\nAnswer: -9.69033174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2 - 42*z + 159. Let i be c(8). Calculate the greatest common factor of 279 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -54. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -6197?\nAnswer: 1\/6197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 (base 9) in base 10?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142479 is divided by 727.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = 3*s - 4*s + 144 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1366802138 to the nearest integer?\nAnswer: 36970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 9 - -22 - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51759\/2911 - 17)\/(-8).\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(432) + (-1 + sqrt(432))*-4 + 4*(sqrt(432) + -1*sqrt(432) + 2))**2*2 + 0.\nAnswer: -41130 + 10800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 27 = -4*m - 3*x, 0 = 2*m - 3*x + 7. Suppose m*n + 3*j = -74 + 689, 2*j - 774 = -5*n. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25519 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29900*k**3 - 85*k**2 - 2*k - 30?\nAnswer: -179400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -53*o + 110*o + 12 - 55*o. Calculate the remainder when (-228)\/(-8) + 1\/(-2) is divided by m(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 0 + 0)*(9 + 1 - 1)*(p**3 - 7*p**3 + 4*p**3 + 4*p**2) to g*p + r*p**2 + s*p**4 + m*p**3 + u and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 10*q**2 - 10*q - 4. Let j be g(-9). Find the second derivative of 7 - 7 + 3*z - z**j wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.7629 nanograms in tonnes?\nAnswer: 0.0000000000000197629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8))**17\/(((g*(((g\/(g**(2\/59)*g))\/g)\/g)\/g)\/g)\/g**3) assuming g is positive.\nAnswer: g**(-7668\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000303032 to 6 decimal places.\nAnswer: 0.000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 1. Let j be p(-1). Suppose 3 = j*r - 3. Suppose 3*t + o - 8 = 2*o, -2*t = r*o - 20. Solve -3*z - 5*m = -5, 0*z = 4*z + 4*m + t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 202 - 5 = 786 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 891 - 604. What are the prime factors of z?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 68, 6, -104, -268, -492?\n\"Answer: -l**3 - 18*l**2 - l + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -27*q**3 - 24474*q**2 - 813507*q - 2220984 = 0.\nAnswer: -872, -283\/9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/952 and -85\/36.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.35 and -0.2355?\nAnswer: -0.082425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.151 and 0.1.\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -5*a - 54. What is the least common multiple of a and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 65*q = -31*q + 390 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)*4)\/((sqrt(44)*-2 + sqrt(44))\/sqrt(4)) + -2.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4)*w)**(30\/13))**(7\/12) assuming w is positive.\nAnswer: w**(175\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - 0. Is q + 3 - -7 - -69 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 287571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p**2 - 11*p + 3. Let k(o) = 6*o. What is k(y(n))?\nAnswer: 42*n**2 - 66*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -256157\nAnswer: -40\/256157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1097469 bigger than -1097415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*6\/(-60)*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s - 26 = 0. Let l = 5 - s. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.3 in -3, 3\/5, 0, -1\/9, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 12 + 36 = 0. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 + 8 - ((355 - 324) + (-17 - -1))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 973603, 2 in ascending order.\nAnswer: -5, 2, 973603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -71*s**2 + 3*s - 15. Give b(2).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -2\/5, 3, 2\/51, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/5)*i\/(i**(-1\/4)\/i)*(i\/i**(-4\/3))\/(i**(-7\/3)\/i) assuming i is positive.\nAnswer: i**(439\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(84\/16)*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**3\/3 - w**2\/2 + 35*w - 5. List the prime factors of n(0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15267*y - 61087. Calculate w(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 14 = -19. Suppose -k + 2*k = 0. Suppose k = -3*u + 27 + n. Calculate the lowest common multiple of u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -36808 divided by -214\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 49*l + 62*l + 3 - 112*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t - 39*t + 14*t - 4*t.\nAnswer: -65*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41055, -163971, -368863, -655731, -1024575?\nAnswer: -1475395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 3, k: 4, a: 2}. What is prob of sequence nak?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-110)*(-16)\/4*30*(-3)\/54\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/130 and 151\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231203 + -1020?\nAnswer: -1232223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 153, -2, 2\/13, -4\/75?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*p - 3 - 163*p**2 - 89*p + 85*p**2 + 0 as z + y*p**2 + l*p and give y.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(1900\/8) - (-306)\/75. Sort p, 0, -1, -2 in descending order.\nAnswer: p, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 27*f = 72. Sort f, 2, -15 in decreasing order.\nAnswer: 2, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 39 (c) -10 (d) 3\/4 (e) -0.085 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 2\/3*i**4 - 502\/3*i**3 + 0*i**2 + 0 = 0.\nAnswer: 0, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 14*j**2 - 34*j - 120. Let u be b(-12). Are -12\/1109 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1604*m**5 - 24*m**3 + 12*m**2 - 57*m**4 - 3213*m**5 + 1588*m**5 = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**3\/3 - 5*r**2\/2 + 6*r - 5. What is t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4498984 by -45908.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -287*o + 175. Let b(c) = -32*c + 19. What is -35*b(u) + 4*i(u)?\nAnswer: -28*u + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 60669*y + 242606. Give s(-4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230635?\nAnswer: 5, 193, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3 + 2 + 5 + 6 + 6*a**2 - 6 - 66*a. Let v be k(11). Calculate the highest common divisor of 170 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 29.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24*(-2)\/(-8 + 2). Suppose u*v - 245 = 3*v. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14381 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 9*k - 1985. Give m(40).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-61)\/((-140239)\/660) - 2\/19. Let c = 3.7 - 0.7. Sort c, h, 0, -4.\nAnswer: -4, 0, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 648 and 699672?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -25449, -8.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(33)*-2)\/sqrt(11).\nAnswer: -2*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 30 = f + 2*p, -4*f = -4*p. Let n be (108\/45)\/(2\/f). Let x be (1*(-2)\/n)\/(4\/(-24)). Solve 0 = -5*t + x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q + 14. Let v be r(-4). Find the second derivative of 1 + 15*a - 35274*a**v + 35274*a**2 + 149*a**4 wrt a.\nAnswer: 1788*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 1677458.1423?\nAnswer: -1677458.2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.77669902 to three dps.\nAnswer: 5.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 17*h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 2*g - 3, -2*a - 4*g = -3*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*4 + sqrt(66))\/(sqrt(6) - (sqrt(384) + (sqrt(384) - (-2*sqrt(384) - sqrt(384))) - sqrt(6))).\nAnswer: -5*sqrt(11)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Suppose -4*k + 54 = -t + y*t, -t + 2*k = -19. Suppose 3*r = 3*m + t - 128, 3*m = -r + 109. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 106 = -3*c - 118, -3*d + 323 = 2*c. Let y = d - -55. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117488807 to the power of 1\/2, to the nearest integer?\nAnswer: 10839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 74501*a - 78304*a + 152805*a + 47*a**3.\nAnswer: 47*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (535*z**2 - 4075*z**2 - 632*z**2)*(-5*z + 3 - 3) in the form v*z**2 + q*z**3 + t*z + h and give q.\nAnswer: 20860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 8.1. Let b = 7.08 + r. Let c = b + -0.0800077. What is c rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.2, 0.4, 0.3, -2129?\nAnswer: -2129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 0.2 (c) -35981 (d) -7\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1582 and 16950?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.14, 0.03, -706, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose -l*m = -m + 4. Let h(f) = f**3 + f**2 - 4*f - 3. Calculate h(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let l = s - 11. Let m(r) = -10*r**2 - 4*r - 4. Let y(b) = -7*b**2 - 3*b - 3. Calculate l*y(n) + 5*m(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 505 - 21. Solve d*i = 51*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1 = -16. Let q = t - -25. Suppose -3*n - 3*o + 61 = 2*o, 5*n + o - 65 = 0. What is the lowest common multiple of q and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let b(v) = -2*v**2 - 153*v + 309. Let i be b(2). What is the second biggest value in i, -1.6, j?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 3*h - 20, -57*h + 288 = -13*s + 16*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -u - 2, -u = r - 5 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Let o = f - 2. Calculate the remainder when o\/(40\/(-14) + 3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 188 + -181. Suppose n + 46 = -4*d + 3*n, -d + 2*n = m. Let b(r) = -18*r - 13. Let q(c) = -9*c - 6. What is d*q(a) + 6*b(a)?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*q + 20. Let g be ((-2)\/(-2))\/((-6)\/q). Do -5 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 2*o**2 + o**2 + 342 - 2*o**2 as g*o**2 + p + k*o and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*((0 + sqrt(176) + -5 - (1 + sqrt(176))*2) + -4 + (sqrt(176) + -1*sqrt(176))*6))*5)**2.\nAnswer: 2600*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238130 and 214317?\nAnswer: 2143170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*c**5 - 5*c**5 + 770*c + 1345*c + 212*c + 2*c**3 wrt c?\nAnswer: 740*c**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:00 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + s**2 - 3*s + 5. Let g(o) = o**3 + o**2 - o. What is -d(l) + 3*g(l)?\nAnswer: l**3 + 2*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 636945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1211 = 23*n + 176. Suppose -n = -223*g + 220*g. Solve r = -4*z - 0*z + g, 0 = -4*r - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {v: 1, e: 3, f: 2, i: 1, m: 6}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(4836\/9)*(-169)\/(-26)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 61 = 44 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414566\/1629 + -35\/543. Let r = -13367\/45 + b. Let v = r + 557. What is the common denominator of 79\/4 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 5*g**3\/3 + 117*g**2 + 3388*g. Give w(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + m**2)*(0*m + 2*m + 4 + 12) to n*m**2 + u*m**3 + g + a*m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -682260.599 minus 90?\nAnswer: -682350.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2, -220204.\nAnswer: -220204, -27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*z = 397120, -h + 4*z + 19840 + 79421 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 30810*c**3 + 92460*c**2 - 92470*c + 30825.\nAnswer: -5*(c - 1)**3*(c + 6165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmwwwwmmmwmmwymwwww. What is prob of sequence mwym?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6736\/9 + -188563\/252. Suppose 3*h + 1 + 1 = y, 0 = 3*y - 3*h. Is y != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*39712530\nAnswer: 1191375.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253.94 + 256. Let i = y + -0.06. Let p = -2 + i. What is the second biggest value in -3, p, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -2, -5, -1\/7, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -39 times -5\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*t - 8, -7*t = -3*t - 16. Let u = 10 - g. Put -4, -5, u in increasing order.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*b - 845*b + 153*b - 934*b.\nAnswer: -2141*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5473 + 4.4527. Let r = 0.16 - 0.2. Let x = r - -2.04. Which is the closest to -1? (a) 1 (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f**2)*(2*f + 0*f + 4*f)*(4 - 4 - 2 + 1 - 5 + 5 + (2 - 3 + 2)*(-3 + 2 + 3)).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*j - 44*j - 117*j - 219*j.\nAnswer: -629*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4989 + -4944. Calculate the highest common divisor of 560 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/5, 2.1, -164, -0.32, -2, 1?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57262340*t + 57262353*t = -520 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.7 + 29. Let h = 2 - n. Let z = 2.522 - 0.622. Which is the closest to z? (a) 0 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-632)\/(-52) - 4\/26. What are the prime factors of a*304\/9 - 8\/(-12)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i**2 + i + 1. Let h(r) = 2*r**3 - 4*r**2 + 3*r + 1. Let m(s) = -4*d(s) + 4*h(s). Factor m(t).\nAnswer: 4*t*(t - 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 10*k**2 - 17. Let q(r) = -4*r. Determine t(q(s)).\nAnswer: -80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -641 - -659. Let x = 559 - d. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 54*y**2 - 3507*y - 94. Give r(65).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*f - k, 2*f - 39*k + 1 = -42*k. Solve 2*n + 16 = -3*o, 1 = -o + f*n + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -392 + 391. What is the closest to -2\/9 in 1\/2, p, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 6. Let x be c(-6). Suppose 4*v + 3 = 5*w, x = -5*v + 4*w + 3. Suppose 8*k = v*k, -3*j = 4*k - 48. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712793597.\nAnswer: 2712793597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 7*d - 38. What is x(-6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1188 and -31\/1331.\nAnswer: 143748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**4 - 40*t**3\/3 - 26*t**2 + 88*t + 3569. Suppose j(v) = 0. What is v?\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -1 (b) -1\/3 (c) 0.05 (d) -5 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93528 is divided by 316?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -1, -3.\nAnswer: -10, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-369)\/18 - 2\/4. Let x be (-5 - -2)*(-7)\/p. Let q = x + 12. Calculate the greatest common divisor of q and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-17*o + 31*o + 31*o)*(5*o - 2*o - 2*o) in the form g + s*o**2 + a*o and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 6) + -322 + 390.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -4 + 0 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -127825?\nAnswer: 52\/127825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*g**3*l*r - 125*g**3*r**3*y - 2*g**2*l*r**3*y + 25*g**2*l*y + g**2*r**2*y + g*l*r**3 - l*r*y wrt g.\nAnswer: -228*l*r - 750*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65829776891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3619991 + 3619991 + 10741*p as g + z*p and give z.\nAnswer: 10741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 10:05 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-42)\/18*6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21*o**3 + o**2 + 2*o - 2. Let d be a(1). Let r = 25 - d. Calculate the remainder when 0 - (-66)\/r - (-15)\/5 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 4*y + 5. Give x(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -869813, -1739638, -2609477, -3479330?\n\"Answer: -7*h**2 - 869804*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*k + 18, -1325*k - 4 = -l - 2659*k + 1331*k - 22 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 177*w. Let c(x) = -65*x**2 - 2. What is c(b(j))?\nAnswer: -2036385*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/3 in -0.2, -1.37, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737 divided by 1?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 2983565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217156717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117\/5 + -23. What is the third biggest value in 2\/3, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 264829*l**3 + 3*l**2 - 6*l**2.\nAnswer: 264829*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m - 9. Let n(j) = -5*j - 4. What is -13*n(u) + 6*y(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 - 31*w + 14. Let k be i(-8). Put 3, k, -66 in ascending order.\nAnswer: -66, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let h(r) = -3*r - 21. Let j be h(-8). Let x(k) be the first derivative of 5*k**3 + 3*k - k**3 - 24 - 5*k**j. Give q(x(i)).\nAnswer: 3*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 3 - (0 - 663). Suppose -5*f + 4*b = -1062 - 608, 2*f - s = -5*b. Calculate the remainder when f is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -527*v**2 + 2 + 712*v**5 - 1949*v**5 - 896*v**2 wrt v?\nAnswer: -74220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 17, w: 3}. Give prob of sequence wiww.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63)\/14*-6*4\/6. Let q(p) = -1. Let g(a) = -6*a - 18. Determine t*q(b) - g(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/18 - (-4)\/36*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46*(-26)\/39*(-6)\/4. Let z = 48 - l. Calculate the remainder when 67 is divided by (z\/(-8))\/((-7)\/644).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/1411 - 91763\/16932. Find the common denominator of x and ((-6)\/7)\/((-64)\/464).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -989, -5, 2 in decreasing order.\nAnswer: 2, -5, -989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 8 = 100. Suppose 3*l = 4*l + 2. Let x be l + 2 + 0 + 0. Which is the second smallest value? (a) -1 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(-3 + -3*(sqrt(1872)*-1 + -4 + -6*(1 + sqrt(1872)))))**2.\nAnswer: 1306368*sqrt(13) + 79322976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s. Let x(m) = -4 + 26*m - 29*m + 21*m - 10. Let y be -2 - (-1 - 0) - -43. Let q(p) = p - 1. Let j(z) = y*q(z) - 3*x(z). Calculate f(j(r)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 363, 590, 859, 1182, 1571, 2038, 2595?\nAnswer: 3254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 242*f - 552. Let n be o(66). Is n bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/6 - 12)*(-19)\/(-190) - (-1796)\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1804 - 8.957241.\nAnswer: 1795.042759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 13*j + 22. Let m(p) = p**2 - 9*p - 15. Let z(w) = 231*w + 2315. Let r be z(-10). Determine r*k(t) + 7*m(t).\nAnswer: 2*t**2 + 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 44\/5 of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477386 to the power of 1\/2, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*k - 116*k = -219*k. Solve -9*z + z + 40 = k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -3*a**5\/40 + 16*a**3 + 141. Let v(j) be the third derivative of n(j). Let p(t) = -10*t**2. What is p(v(q))?\nAnswer: -810*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 77\/5 of a gram?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475933974?\nAnswer: 2, 3, 1373, 57773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 13521734?\nAnswer: -13521728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 375.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 499782 in 3\/5, -2, -1.7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 0 = -2*j - 6, 0 = -4*j + 5*t - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*n - 76639689 = 18165181. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -52083 and 1011.\nAnswer: -51072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*i - 9839 - 26395 = 0 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3885270 (base 9) to base 10.\nAnswer: -2123073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.1647t to nanograms.\nAnswer: 56164700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -175, 0.3, 4\/5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*m**2 + 0 - 8 + 9 - 2*m**2 - 5*m - 3 + (-3*m + 0*m + 2*m)*(-m + 1 - 1).\nAnswer: 2*m**2 - 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from ugunxlgf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -76 (b) 2\/17 (c) -4 (d) 1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)*m**3\/m*m*m**(-5)*m**3 assuming m is positive.\nAnswer: m**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20\/9 - -53\/36. Let h = 0.16 - 12.16. Let m = h + 15. Which is the nearest to -0.1? (a) 4 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5*1)\/(-3 + 2). Suppose o - u*o + 38 = 5*r, 28 = 4*r + 2*o. Suppose -r = 3*n - 5*n. Solve -n*t = 6, t - 23 = 3*p - 8*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -576 - i**3 + 1488 - 21*i**2 + 19*i**2 in the form f + p*i**2 + g*i + m*i**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/(-32))\/(-7))\/(210\/40).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -u - z + 16, 0 = -5*u + 2*z + 114. Do 22 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 268866085.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 14*l**2 + 125*l + 9. Calculate z(-20).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from uvvvuvvvvovvuuou.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:54 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114319798574 - 2.25.\nAnswer: -114319798576.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 3\/2*d**2 + 1\/12*d**4 + 0 + 3*d + 0*d**3. What is the derivative of j(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -74. What is the first derivative of -7 - 4577*l**4 - 4 + 4422*l**g wrt l?\nAnswer: -620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24454 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9108 + 16960. Calculate the greatest common divisor of 104 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/(p*p*p\/p**(6\/11)*p))\/(p**5\/((p*p**3)\/p)) assuming p is positive.\nAnswer: p**(-251\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2 + m. Let s(k) = -2*k - 6. Let h(z) = 96*z + 60. Let a(x) = h(x) + 10*s(x). Calculate a(p(g)).\nAnswer: 608*g**2 + 76*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + 1*sqrt(245))**2 - (sqrt(245) + 2*(2 + sqrt(245) + sqrt(245))))*-5.\nAnswer: -6125 + 1575*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 13a?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6505e (base 15) to base 9.\nAnswer: 537838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 712 = 4*a, 5*c - 4*c + 3*a - 229 = 0. Let g = -105 + c. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-4)*2*(-3)\/48\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + v - 85, -7*c + 6*c = -5*v + 9. What is the highest common factor of 424 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 3. Let a be s(0). Let d = 216 - 177. Suppose -9*u + d = 12. Solve u*n = 4*n + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9))\/((-22)\/(-2607)). Let i = 17 - j. Let t be 14*(-12)\/14*-1. What is the greatest common divisor of t and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4326331.\nAnswer: 107, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqw when three letters picked without replacement from ufwuquufu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3654295 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j - 137*j + 48*j + 5*j**3 + 52*j - 2*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 - 53*s - 13. What is c(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000879 rounded to 7 decimal places?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -g - k + 15, 4*k - 17 = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o - 82. Is l(9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*d - 4054, -6*d + d = -3*t + 6057. List the prime factors of t.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r - 22. Let z be x(3). Suppose -4 = -4*t, -12 = -z*y + 2*t + 6. Calculate the highest common factor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 4. Let o be 6 + (a - 5) + 114. Suppose 2*y - 191 = -y + 4*q, o = 2*y - 5*q. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f**2 + f. What is p(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/2)\/k**1*(k*k\/(k\/(k\/k**(-1))))**(16\/9)*(k*k**(1\/2)*k)**23\/(k**(1\/4))**(-20) assuming k is positive.\nAnswer: k**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8492 + -0.8492. Which is the nearest to 1\/2? (a) -3 (b) -0.5 (c) -10\/73 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-51)\/4)\/((-6)\/16). Let w(c) = -2*c - 4. Let l(d) = 11*d + 23. Give o*w(q) + 6*l(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-18))\/(21\/(-9) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041289999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 743639363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 117229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -193\/19 (b) -2 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -938193000 to the nearest one hundred thousand.\nAnswer: -938200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 + 25*z - 53. What is t(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*q - 31. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, m: 6}. Give prob of picking 2 m and 2 e.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g = 4*a - 48, -4*g = 0. Suppose 36*f - 15000 = a*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10.3, -13\/2, 42?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/7 - 1174*l**2\/7 - 1088*l\/7 + 7032 = 0 for l.\nAnswer: -586, -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/79, 1, 5 in decreasing order.\nAnswer: 5, 1, -1\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 372*r**4 + 55374*r**2 + 228938962 with respect to r.\nAnswer: 1488*r**3 + 110748*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2. Let g(f) = 110 + 130 + 53*f - 226. Let m(u) = -26*u - 6. Let r(p) = 3*g(p) + 7*m(p). Determine r(o(z)).\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w + 1. Let f be n(-3). Suppose 25*l - 1484 = -109. Calculate the highest common divisor of l and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*b - 4 = 0, b + 17 = 4*w - 2*b. Suppose 4*v = -w, 62*q + v = 61*q + 1. Let x(z) = -7*z + 7. What is x(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14*66\/(-88)*148\/(-6) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*-1)\/((-6)\/12). Suppose -b + 25 = w*b. Suppose -b*p + j = 9, 0 = 3*p - 7*j + 3*j + 2. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2. Let n(v) = v**2 + v. Let f(o) = -8*o**2 - 13 - 3*o + 14 - 1. Let h(w) = f(w) + 3*n(w). Determine i(h(c)).\nAnswer: -150*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3306911 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 828864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7114 = -5*q + 7129, 4*v + 31 = q for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183355*g**3*i**3*z + 2*g**3*i**2 - 1612*g**2 - 27*i**3 with respect to z.\nAnswer: 183355*g**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/414 and -47\/10?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/7956 and -3\/68?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28\/5? (a) 2 (b) -1 (c) 38 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -22 + 0*v**2 + 139\/12*v**4 + v + 95\/6*v**3. What is the second derivative of j(y) wrt y?\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - q + 132. Let h = -22 - q. Suppose 41 = s + h. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 2*d**2 - 3. Let i be n(-3). Let s be (-2)\/12 + 13\/i. Suppose -5*a + c + 77 = 0, -33 + 7 = -2*a + s*c. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497*d - 92 = 1499*d - 4489*d + 1497*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2381565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.812 - -0.188. Suppose -2*t = t + 4*n + 19, -n - 3 = -t. Which is the smallest value? (a) 0 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14280 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 16) + 16 - (6 - (-17 + 3 + 0)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 + 0*h**2 - 3*h**3)*(4*h + 0*h - 2*h) + (3*h**3 + 3*h - 3*h)*(-3 - 2*h + 3) as i*h**3 + v*h**2 + k + j*h + y*h**4 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.613133 rounded to three dps?\nAnswer: 5.613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 4576?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -404924, -809763, -1214602, -1619441, -2024280, -2429119?\n\"Answer: -404839*s - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 - -2 - 8) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. Suppose 0*z = 4*p + d*z - 204, 5*z = -2*p + 108. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-18)\/(-27))\/(76*4*(-1)\/8).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-3)\/(-45))\/((-4)\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-14)*z*z**(-6)\/z assuming z is positive.\nAnswer: z**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22296.16 centimeters in millimeters?\nAnswer: 222961.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 189*i + 3335. Determine p(75).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*i**3 - 227565*i**2 - 139088016*i + 148319424 = 0. What is i?\nAnswer: -1224, 33\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 14*w + 3. Let i be x(-14). Let p be 5*i*52\/65. Solve 2*r + 4 - p = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31957.\nAnswer: 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5662 and 31\/969?\nAnswer: 288762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 24*g - 7. Let j be (-5)\/(-2) - 18\/(-36). Suppose -4*d + 122 = -2*f, 5*d + 5*f - 17 = 98. What is the remainder when p(j) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from vwvuuyyuvyyuyuu?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101211, -202429, -303649, -404871, -506095, -607321?\nAnswer: -708549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 4*i**2 + 2*i**2 - 3*i**2. Let s(m) = 9*m**2. What is s(x(b))?\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/1 + 760\/133. Suppose 5*s + 5 = 30. Which is the biggest value? (a) -9 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639 and 14571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1.1.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-1 + sqrt(153) + -4 + -1.\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 2. Let x be p(4). What is the second derivative of -d**3 + 49*d**2 + 3*d - 49*d**x wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020022202221 (base 3) to base 4.\nAnswer: 10201320301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - ((-63)\/(-24) - 1). Let x be (-12)\/40*(-30)\/(-8)*12\/9. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) -0.04 (c) 0.5 (d) -0.3 (e) 100 (f) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 10\/839, 173?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 3 (c) -0.1 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(700) - (sqrt(700) + sqrt(700) + 1 + -3))*5 + -3)**2 + 4.\nAnswer: -147600*sqrt(7) + 2535133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -34233\/5?\nAnswer: -34233\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 389387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. Let r = -177 - -177. Is r greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9348, -18693, -28036, -37377, -46716?\n\"Answer: r**2 - 9348*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198492.\nAnswer: 2, 3, 7, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0.08, 0.09, 15, -2\/7 in increasing order.\nAnswer: -20, -2\/7, 0.08, 0.09, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/5 + 12*a**4\/5 - 43*a**3\/5 + 12*a**2 - 28*a\/5 = 0. What is a?\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 2*c**2 - 5*c)*(-2 - 1 + 5)*(1 + 0 + 5) to the form w*c + z + v*c**2 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(5\/2 + -2). Let n be 35\/245 - 13\/(-7). Let 1\/2*a**n - 1\/2*a**3 - u + 1\/2*a = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32394.\nAnswer: 2, 3, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8966151 to the nearest integer?\nAnswer: 2994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 2. Let c be p + (-2 - (-1)\/1). Let z be 40\/15*c\/(-2). Sort -2, z, 0.5 in ascending order.\nAnswer: -2, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a952 (base 11) to base 7.\nAnswer: -241342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614662 is divided by 3929.\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1121392*u - 1121378*u + 196 = -3*k, -4*u - 56 = -3*k for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, n: 3, d: 2}. Give prob of sequence dn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.28 + -0.28. Let y = -0.1 - 0.1. Which is the closest to 0? (a) y (b) -2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 8*q**2 + 8*q - 6. Let a be l(-9). Suppose -2*b - 3*c = -10800, a*c = -c. What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*4\/48*3. Let s = 3.6 - -0.4. What is the closest to -1 in m, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1761*u**2 - 3*u**4 + 1759*u**2 - 5*u**3 + 1 + 2*u**4 + 10*u**3 to the form k + q*u**3 + t*u + g*u**4 + y*u**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 220*d - 7824. What is the thousands digit of a(49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*o**2 - 583494*o + 320727832?\nAnswer: -86*o - 583494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 761*c**2*l + 10951*c**2 - 7*c*l - 7*l wrt l.\nAnswer: 761*c**2 - 7*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2851825900225*b**3 - 74147480160790*b**2 + 175628444*b - 104 = 0.\nAnswer: 2\/1688735, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -500*u + 307*u - u**2 + 389 + 193*u to w + y*u**2 + k*u and give w.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 40 + 24)*(0 + 3 - 1)*(-5 + 3 + 3)*(4*t - 3*t - 3*t) + (-2 + 3 + 0)*(-4*t + 3*t - t) to j + n*t and give n.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*d - 124*d = 27*d + 1633 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-275)\/35 - (-1576)\/2758.\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*q = 19, 29*b - 30*b + 5*q = 28. Let h(m) = -8*m**3 + 3*m**2 - 3*m + 3. Let r(s) = s**2 + s - s**3 + 1 - 2*s + 0*s. What is b*r(c) + h(c)?\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 3*b + 4. Let q(u) = u + 4 + 2*u - 4*u - 3. Let p(o) = -o**3 + o**2 - 2*o**2 - 6*o**2 - 8*o - 8. Let t be p(-6). What is t*q(j) - x(j)?\nAnswer: -2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 54. Suppose -5*q + 4*q = -v. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. Suppose -1 = d*p - 5. Sort -0.1, 2, p in decreasing order.\nAnswer: 2, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1231*o. Let v(t) = 1792*t**2. Give i(v(g)).\nAnswer: -2205952*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/((-1)\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -114, -27, 13 in increasing order.\nAnswer: -114, -27, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 3*f + 5*f - 2*f + 5*f.\nAnswer: 11*f + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/4*(-50)\/5. Let z = -28 + u. Let l = -8 + 6. Put l, -4, z in increasing order.\nAnswer: -4, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/830 or 0.28?\nAnswer: 3\/830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 2.3, -0.1, -11\/6, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -1 + (-32 - -32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 2 + -2*sqrt(208) + sqrt(52) + (sqrt(312)*3)\/sqrt(6))**2 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23110100 (base 4) in base 9?\nAnswer: 70522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109.224 + -104.224. Let f = -2 + 9\/4. Which is the third biggest value? (a) 3 (b) o (c) f (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/1840 and 41\/68?\nAnswer: 31280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-33))**(1\/45)*b\/b**47*b**(-19) assuming b is positive.\nAnswer: b**(-986\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - f = -10 - 0, f = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Suppose -t*f - 2*j = 15, j + 3 - 28 = 4*f. Which is the nearest to 2\/3? (a) 2\/5 (b) 2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + ((sqrt(1300)*2)**2 - sqrt(1300)).\nAnswer: -10*sqrt(13) + 5195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 3. Calculate the lowest common multiple of g(-6) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 4. Let q(l) = l**2 + 3*l. Let g be q(-2). Let j(u) = -u - 4. Let b be j(g). Let x(i) = -4 + 239*i - 243*i + 9. Calculate b*x(z) - 3*t(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*a + t, 0 = -345*a + 350*a + 5*t - 75 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484898?\nAnswer: 2, 3, 263, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*h**5 + 2*h**4 + 24961*h**3 - 42*h**2 - 333*h + 136.\nAnswer: 5940*h**2 + 48*h + 149766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 15*o**2 + o + 17. Let t be w(-15). Suppose 5*r - 9 = -3*l, l + t + 6 = 2*r. What is the derivative of 0 - 1 - 3*y**r - 5 + 5 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-6*n - n - 34118*n**3 + 33784*n**3).\nAnswer: 334*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - q - 3*q + 8. Is d(-18) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 84 = 17*t + 25*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 10277875\nAnswer: -21\/10277875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8516*y**2 + 3*y - 2. Let a(i) = -2*i**2. Determine x(a(b)).\nAnswer: -34064*b**4 - 6*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (59 - 24) + 22.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*h + 10, -4*h = -g - 3*g. Let t be h\/(-5) + 36\/15. Suppose -2*j + 2*x + t*x + 20 = 0, j - x = 5. Sort 3, 2, j.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 1. Suppose 0 = -6*a - 12 + 6. Let q(f) = 8*f**2 - f + 5. Give a*q(v) - 6*r(v).\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*t + 14*t + 2197 - 2772 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 3. Let t be o(3). Is 17 a factor of 11\/22*(t - -166)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -17672\/3 - 17296\/3*q - 2\/3*q**3 + 374\/3*q**2 = 0.\nAnswer: -1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 2*h**2 + 0 + 1\/60*h**5 - 1\/24*h**4 + 1\/120*h**6 + 0*h - 1\/6*h**3. Factor y(n).\nAnswer: (n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 bigger than -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17157*h - 6159358. Calculate c(359).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-630)\/((-1230)\/41))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -7 - (2 + -3)) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1631\/519 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3789822950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/11 - 7980*t**3\/11 + 6882576*t**2\/11 + 2208887980*t\/11 + 19316672622\/11 = 0. Calculate t.\nAnswer: -239, -9, 2119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-168)\/(-70))\/(3\/140). Calculate the highest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252529*j - 252953*j - 1476 + 27340 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/236 and 85\/11151.\nAnswer: 44604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*g**3 + 11*g + 143?\nAnswer: -27*g**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824791*s**2 - s**3 + 824791*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 10\/9 (c) 2\/15 (d) 3.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 357.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.3, 4501, -1\/17, -2\/5 in decreasing order.\nAnswer: 4501, 1\/3, -1\/17, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 46940\/2100 - (-28)\/588.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, i: 1}. What is prob of sequence oi?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492912 by -5868.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-4 + 1 + 1)*(2 + 4 - 4)*(4 - 2*y - 4).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/1*((-4)\/1)\/8. Let n(m) = -m**3. Determine n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 - 5952552 + 5952552.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5520 + 5524. Which is the smallest value? (a) 44 (b) n (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3014*w**2 - w - 18. Let r be x(5). Let h = r + -42490. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*i = -6, -2*i - 4 = 4*o - 2*o. Let v(c) = -c**3 - 6*c**2 - 6*c - 5. Let r be v(-5). Let t = o - r. Calculate the highest common divisor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*b + 29, -6*o + 12*o - 7*o - 21*b - 35 = 3*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -30. What is the remainder when w is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 155706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-3))\/4)\/(((-410)\/(-360))\/(-41))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83\/(-83)*17\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 7. Determine u(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10661*t**3 - 44*t**2*u**3 + 106*u**3 + 12*u**2 - 10*u - 52 wrt t.\nAnswer: -31983*t**2 - 88*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.174036 - 78.872464. Let m = 79 + i. Round m to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = -4*i, 5*i + 0*g = -5*g + 45. Let q = -5 + 3. What is the second smallest value in i, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 24 - 1 = 5*m, 0 = 5*y + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21)*560\/(-10)*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 723*m + 59222. Determine a(-72).\nAnswer: 7166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n. Let z(a) = -1093965*a. Determine z(q(f)).\nAnswer: -5469825*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*-1 + sqrt(600))\/(sqrt(32)*-3) + 5 + (4*5*(sqrt(9)\/sqrt(3) - sqrt(3))*2)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/46206 and 61\/765.\nAnswer: 231030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132256?\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 10 + 11 + 1 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:00 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 31, 2, 0.05, -0.04?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3562584 and 107\/138?\nAnswer: 81939432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19821.\nAnswer: 3, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54*1)\/((1\/(-6)*1)\/(362\/2172)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39783.\nAnswer: 3, 89, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 - 22331?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025507 = 19*w + 377075. What are the prime factors of w?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019 + 3*v - 1019.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 11.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 11*b**2 - 19*b + 24. Determine o(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3353\/11 + 305. Suppose -2*d + 56 = -5*x, 2*d - 28 = d + 2*x. Let p be (-8)\/(-14) - 8\/d. Which is the closest to p? (a) l (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**5 - 1155*m**4 - 1755*m**3 + 1740*m**2 + 1164*m = 0.\nAnswer: -2, -1\/2, 0, 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -36, -44, -50, -54?\n\"Answer: k**2 - 13*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*429\/(-27) - 4\/6. Suppose r*z - 46*z + 1 = 0. Which is smaller: 5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(8\/48). Let g = -2 - h. Which is greater: g or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-20)*j**(1\/4)\/j*j*((j**(4\/3)\/j)\/j)\/j**(2\/27))**(-7\/9) assuming j is positive.\nAnswer: j**(-15505\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57796996.13 rounded to the nearest 100000?\nAnswer: -57800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*r - 272*r - 570 = -135*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 653\/102 - 115\/18. What is the closest to -1\/2 in 2\/5, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*a - 20 = 0, 2*t - 36112*a + 36108*a - 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21299242?\nAnswer: 2, 23, 599, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -67.43. Let g = -21.93 + n. Let r = -21 - g. What is the third biggest value in r, -2\/23, 3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 18*x**2 - 28*x + 461. Is d(38) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3906 - -3882.14. What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*j**2 - 57*j**2 + 145*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 2*o + 1. Let u be i(-1). Suppose -d - u - 1 = -4*n, -2*d - 34 = -n. Suppose 0 = -2*v - 25 - 11. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 98338*a**3 - 1611792594*a**2 - 8807371735590*a - 17608297087476 = 0 for a.\nAnswer: -16389, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 222101111202200?\nAnswer: -222101111202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57242 is divided by 690.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168 - 1723 + 798 = -161*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 5. Let m(q) = 7 + 3*q**2 - 4 + 0*q**2 + 3. Let v(b) = 6*f(b) - 5*m(b). Let j(r) = -2*r. Give j(v(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - s + 1)*(2*s**2 - s**2 + s**2) + (-47*s**2 + 136*s**2 + 62*s**2)*(-4 + 4 + 3*s).\nAnswer: 451*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 74, 166, 294, 458, 658, 894?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = -3*q, 2*j + 2*q + 15 = 7. Let r = -2.5 + 3. Which is the closest to 0? (a) r (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 5. Let j be t(1). Solve 2 = 4*r + 2*h + 10, 5*h = r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/20 + 4*o**4\/3 + 3*o**3\/2 + 7*o**2\/2 + 2*o. Is y(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 2\/7 (b) 0.1 (c) -10 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 442 = q + o, -1 = -o. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4472*k**3 + 98008*k**3 - 8325*k**3.\nAnswer: 85211*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbdbbbbbbbbb. What is prob of sequence dbdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + -3 + (-390)\/(-44) and 23\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/7 + 38*m**3\/7 - 180*m**2\/7 + 328*m\/7 - 208\/7.\nAnswer: -2*(m - 13)*(m - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*(-179784)\/(-176). Do 683 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-18)\/(-4))*3. Suppose 3*y = d - 4, 20 = y - 2*d + 7*d. Put y, -1, w in decreasing order.\nAnswer: w, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 + -97 + (20 - 1) - 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - ((-31 - -16) + (14 - 3))) + 73.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.71639 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.57 - -0.63. Let t = 2.7 - b. Let o = -2.4999972 - t. What is o rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-1)\/(-2)))\/(27\/(2835\/42))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5. Let u be 895 - (2\/(-2) - i). Suppose 0 = c + 8*c - u. Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2*k - 8*j**2 + 2*j*k + 4242*k + 3247 wrt k?\nAnswer: j**2 + 2*j + 4242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6939 - 6562 = -302*l - 2512 + 4111 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -18 - 3\/2*z**2 + 0*z - 1\/2*z**4 + 5\/3*z**3. Let x be ((-1)\/3)\/((-2)\/18). Determine g(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/23 + 77816*h\/23 - 756916232\/23 = 0. What is h?\nAnswer: 19454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*n = -47, 3*s + 25142*n = 25147*n + 70 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:58 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 18*s**2 + 1068*s + 12637. Give b(-12).\nAnswer: 2413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 - 3 = 29*v - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-108)*531*((-2)\/(-3))\/(8\/48)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 603721 and 1445?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1869 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-160.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + i - 14 = 0, -4*u + 2*i - 7*i = -28. Suppose 10*q**4 + 28*q**2 + 59*q - 69*q - 35*q**3 + u*q**2 = 0. Calculate q.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -24 - ((114 - -1) + 10 + 9)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*k - 3 - 5, 4*g - 4*k = 16. Suppose 3*d - 9 + 6 = g. Let f(c) = -8*c + 0*c + d - 1. Give f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20 - -13)*264\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4952*s**3 - s - 5768 wrt s?\nAnswer: 14856*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g**2 - 3748238*g**3 - 3748246*g**3 + 7496485*g**3.\nAnswer: g**3 - 55*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -15. Suppose 0 = -z - 0*z + s. Let u be (-1)\/(1\/z)*-1. Solve -7 = 3*w - u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 8:39 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1358 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927761457 to the nearest integer?\nAnswer: 30459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 8*d - 10746. Suppose -3*k - 4*a + d = -5501, -2*a = -5*k + 11193. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 10*q + 80. Let m(f) = -21. What is -3*m(l) - o(l)?\nAnswer: 2*l**2 - 10*l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by (-10774)\/(-14) - 1750\/(-1225)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 1714137?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + 10)\/5 - -3168?\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -53*i + 5067. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aazm when four letters picked without replacement from {y: 1, i: 4, z: 4, m: 2, b: 1, a: 3}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2012 is divided by 83?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5778 >= -5778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364 - 499 = -5*k. Let b = 17351 - 17522. Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + u = 9*h + 54, 3*h + 4*u = -59. Put h, -17, -3 in ascending order.\nAnswer: h, -17, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 86*a**2 + 19*a - 2. Let q(i) = i**2 - 7*i + 1. Determine -p(n) - 2*q(n).\nAnswer: -88*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*24777.\nAnswer: 99108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 350035595797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16278.\nAnswer: 2, 3, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69965501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:05 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w - 23. Let i(g) = -g - 3. Let k(r) = 5*i(r) - m(r). Calculate k(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-3\/7)*h**(2\/11) assuming h is positive.\nAnswer: h**(124\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(252)\/sqrt(2))\/(sqrt(2) - 2*sqrt(98)).\nAnswer: -4*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gkggkgkggggggg.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1942 - 5478 = -10*h. What is the greatest common factor of h and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dja when three letters picked without replacement from {a: 3, b: 1, q: 2, j: 2, y: 9, d: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:46 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209749 and 1047.\nAnswer: 629247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27126557333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29113323 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*7*(600\/35 - 17)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6189*s**4 + 48*s**2 + 18*s. Let y(h) = -2063*h**4 - 15*h**2 - 6*h. Let x(p) = 4*t(p) + 13*y(p). What is the third derivative of x(o) wrt o?\nAnswer: -49512*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 6. Let n be c(0). Let z be (-16681)\/2061 - (-2)\/n. Let l = z + -4\/229. What is the common denominator of -55\/8 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:46 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1\/3 (c) -0.1 (d) 0.5 (e) 2.96 (f) -5\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 673 = 4*b - 21*d, 3*b - 3*d - 486 = 0. Calculate the remainder when b is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26393\/94 - -222\/47. Let s = -283 + h. Factor 0 + 0*x - 1\/2*x**4 - 3\/2*x**2 - 1\/2*x**5 + s*x**3.\nAnswer: -x**2*(x - 1)**2*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m + 105275 - 407*m - 105275.\nAnswer: -376*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -645, 39, 673, 1233, 1695, 2035, 2229, 2253?\n\"Answer: -4*n**3 - n**2 + 715*n - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1513.854ml?\nAnswer: 1.513854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006698 less than 855?\nAnswer: 855.006698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15738.21827 rounded to the nearest integer?\nAnswer: -15738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -3.605761960624\nAnswer: 2.705761960624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 56. Suppose 24*l = 20*l + y. What is the third derivative of -27*n**2 - 36*n**4 - 107*n**3 + 107*n**l wrt n?\nAnswer: -864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**34)*x**(-6\/5)\/x)\/(x**49\/(x**(-7\/5)\/x)) assuming x is positive.\nAnswer: x**(-438\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46450337*i + 121785925?\nAnswer: 46450337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let b(t) = t**2 + 4*t - 2. Let m(l) = -l**2 + l + 1. Let d(g) = -2*g**2 - 49*g + 76. Let n be d(-26). Let v(u) = n*m(u) + w*b(u). What is v(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894*t + 900*t - 9 = 3*r, 59 = -5*r - t for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/((-14)\/(-2)) + 7. Solve m + 5 = -n*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, -28, -99, -224, -421, -708, -1103?\n\"Answer: -3*n**3 - 14*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (15 + (1144 - -11))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 0.22 (c) 8 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25309?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/6)\/(1\/5). Let n be 42 - (x + 4 + -1). Suppose -6*h + 22 = -n. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3071*x**2 + 780*x**2 + 1091*x**2 + 2603*x**2 - 1629*x**2.\nAnswer: 5916*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 417 - 415.03. Let q = 19 + -18.97. Let n = q + v. Sort -5, n, 0.3 in decreasing order.\nAnswer: n, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 14*k + 17. Let u be v(13). Suppose u*j = -4*l + 1120, -130 = -l - 4*j + 138. What is the remainder when l is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + 6077 - 12110 + 6033.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/16 - 80\/(-38)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2 - (-1386)\/(-44). Let f = 32 + b. What is the lowest common multiple of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-3)*g))\/(g**(2\/7)*g))\/(g**0)**10 assuming g is positive.\nAnswer: g**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*(sqrt(1000)*-4 - sqrt(1000)))\/(sqrt(80)*3 + (sqrt(5) - (sqrt(5) - 4*sqrt(320) - sqrt(5)))))**2.\nAnswer: 51200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**4 - 115752*k**3 - 396*k**2 + 611394096*k wrt k.\nAnswer: 60*k**2 - 694512*k - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 228 = -5*h + 5*p, 32808 = 3*h - p + 32676 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*(-9120)\/80. Let g = a - -317. Calculate the remainder when 221 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16797 divided by -6.\nAnswer: -5599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqjnqqqqqjhqqpqpn. Give prob of picking 1 m and 3 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45209*o**2 - o - 229044?\nAnswer: 90418*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/49, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 + d**2. Let v(a) be the first derivative of -25 + 0*a + 0*a**2 - 25\/3*a**3. Give k(v(i)).\nAnswer: -625*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*b + 6 = 4*p, -3*p - 24 = 5*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*t**2 + 44389 - 44389.\nAnswer: -588*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3 - 185*q**2 - 1800*q - 1620 = 0 for q.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 152 (b) -0.3 (c) 0.8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 5*f**3 + 2*f + 600. Let i(g) = -1. Give 2*i(u) + v(u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:50 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1968 + -1956. Put -13, 4\/5, s in descending order.\nAnswer: s, 4\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*x + 3*x - 11*x)*(-2*x**2 + 2*x**2 - 2*x**2) as f*x**2 + d*x + z*x**3 + t and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 - k**2. Let l(w) be the second derivative of 1\/6*w**3 + 0 + 0*w**2 + 28*w. Determine l(r(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 y, and 1 g when four letters picked without replacement from yyyggyvryryyrrrvgvyy?\nAnswer: 108\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 620609472 divided by 1?\nAnswer: 620609472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m*u**2 - m*u + 3*m - 28*u**2 + 25*u wrt u.\nAnswer: -8*m - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44520.06 litres?\nAnswer: 44520060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53bb - 2396?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.28869338000504 - -128939699.28871298000504. Let w = -128939675 + q. Let n = w + -23. Round n to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 2*d + 13. Let f(o) = -4*o**3 - o + 10. Let m(w) = -5*f(w) + 4*p(w). What is m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 2, 4, -3 in descending order.\nAnswer: 4, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 7\/5, 2, 0.4, 5\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m + 3. Let b(w) = 157*w - 1 - 24 - 176*w - 24 - 254*w. Give 3*b(a) + 49*j(a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 14. Let d(a) = -214044*a**2. Calculate m(d(s)).\nAnswer: 642132*s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4579 and 0.0008519631.\nAnswer: 4579.0008519631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1))**44*(x\/(x*x\/((x**(15\/2)\/x)\/x)*x))\/(x*x\/(x\/(x\/(((x\/x**(-14))\/x)\/x)))*x) assuming x is positive.\nAnswer: x**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 6. Let c be a(-4). Is 1\/c + (-169)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 2. Let k be j(-6). What are the prime factors of 78\/k*72\/54?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 643*i**2 - 162*i + 28. Let a(l) = 644*l**2 - 163*l + 34. Let u(s) = -5*a(s) + 6*y(s). Find the second derivative of u(j) wrt j.\nAnswer: 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 83c5d7?\nAnswer: -83c5d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/14*9\/((-108)\/(-56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 20, -2*s - 16 = -y - 5*s. Suppose -y*i = -i - 228. What is the nearest to -2\/5 in -0.3, -2, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -35362*o. Let m(b) = -2*b**2 - 301*b. Determine g(m(z)).\nAnswer: 70724*z**2 + 10643962*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -616\/123 + 14\/3. Let i = 290\/369 + s. Put 0.1, i, 4 in descending order.\nAnswer: 4, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 44633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7260 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 112 + 8. Let t = 30 + 54. What is the remainder when b is divided by (t\/16)\/(2\/8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 15 = 68*i + 190, 2*i + 3*h + 7 = 4*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -92.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v. Let d(s) = 496*s. Let h(a) = 272*b(a) + 6*d(a). Suppose 5*f - 3*u - 30 = 0, f = 3*u - 5*u + 19. Let x(r) = -20*r + 9*r + f*r. Give h(x(p)).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 19*d - 5. Let f be j(-10). Let q be (-1)\/4 + f\/36. Suppose 3*i + 4*m - q = -i, -15 = 5*m. What is the greatest common divisor of 28 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 0*h**2 + 38 + 3*h**2 + 14.\nAnswer: -h**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 358, 362, 366?\n\"Answer: 4*g + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 81*t**2 + 1449*t - 310. Is 23 a factor of f(93)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143052 - 14?\nAnswer: -143066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 156*v**2 + 6059*v - 408. Give k(72).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138842?\nAnswer: 2, 11, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:23 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00293 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 247, 491, 711, 895, 1031?\n\"Answer: -2*s**3 + 258*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, 14, 2, -10, 3 in increasing order.\nAnswer: -10, 2, 3, 4, 14, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-83025)*41*1\/((-24)\/(-15))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, p: 1}. What is prob of sequence pppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 2291 + 1463 = -2231. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.82013 to two dps.\nAnswer: -20.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1177a25 - -4?\nAnswer: 1177a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21023330131 (base 4) to base 13.\nAnswer: -6641aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022755 is divided by 1444?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135349*o + 67674*o + 616*o**3 + 67675*o - 597*o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v + 756 = 0. Let j = 101446 + -101383. What is the highest common divisor of v and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -12*d + 16*d - 128, -4*d + 128 = -g. Let p be 0*2\/6 - -27. Let a = p + 53. Calculate the greatest common divisor of a and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/13)*k*k*k**8)**(-17\/4))**(-3\/8) assuming k is positive.\nAnswer: k**(1683\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222455\/166 + -2358\/83. Let a(c) = 51*c**2 + 18*c - 28. Let q be a(5). Let v = q + p. What is the common denominator of v and -151\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230610 is divided by 615.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x. Suppose 2*t + 2*t - 40 = x. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/35 and -33\/29253980?\nAnswer: 29253980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000509262703 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Let o(k) = -4*k - 45. Let m(h) = -2*o(h) - 22*t(h). What is the tens digit of m(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -15*d + 30. Let m(w) = -185*w - 8. Let a(h) = -370*h - 20. Let r(g) = d*m(g) - 2*a(g). Let k(c) = 2*c**2. Calculate r(k(q)).\nAnswer: -370*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58 (b) 2\/5 (c) -5 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 5*d + 4*d)*(-5*d + 12*d - 4 - 3*d).\nAnswer: -4*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6278, 6276, 6272, 6266, 6258, 6248?\nAnswer: 6236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-3)\/(-6)). Suppose 2*i + 11 = -3*z + 1, 5*z + 15 = -3*i. Put 4, w, z in decreasing order.\nAnswer: 4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - f + 3 = 0, -m + 0*m = 5*f - 26. Let k be (0 + (2 - -1))*m. Factor 2 + 0 - 2*s**k - 2 + 2*s.\nAnswer: -2*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 1, y: 2, i: 1}. What is prob of sequence aa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3290 = 18*u + 3298. What is u rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 6165*v - 12334.\nAnswer: (v - 2)*(v + 6167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7771 = s, -2*s - 1940 = -m + s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((2\/2)\/1). Let k = 2 + 0. Let y(s) = 1 - s**k - s + 0 + 2*s**3 - 3*s**3. What is y(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 2. Let u(w) = w**3 - 8*w**2 + 8*w - 9. Let x be u(7). Let c(t) = t. Give x*c(k) + h(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1859*a**3 + 0 - 1865*a**3 + 21*a**2.\nAnswer: -6*a**3 + 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/15)\/((3\/(-4))\/((-1280)\/(-1024))*-14).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2845908*u**3*v**2 + 10*u**2*v**3 + 19*u*v**3 - 2*u*v**2 + 5*v**3 - 2201*v**2 + 5*v wrt u.\nAnswer: -17075448*u*v**2 + 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g - 29109*g**2 + 29129*g**2 - 15*g as t + j*g + x*g**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*l + 317 = 40, -5*u + 3*l + 347 = 0. Calculate the remainder when u is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*t - 16, 789*b = 791*b - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 5:23 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*z**3 - 3 + 2579*z**3 - 2207*z**3.\nAnswer: -206*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p + 1\/2*p**4 + 0 + 3*p**3 - 1\/2*p**2 = 0. What is p?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3302 + 3302.03. What is the closest to -1 in q, -5, 3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7640015 is divided by 333?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*d - 14, d = -2*k + 6 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20434 + 20293 + 20288 - 61015 + 537*p.\nAnswer: 537*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -265 (b) -1\/4 (c) -5 (d) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*z = -15, z - 620 = -5*u - 615 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21026, 42072, 63116, 84158?\nAnswer: 105198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1 - (47 - 57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -13614?\nAnswer: 27228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*k - 3*k + 1 = 0, 0 = h - 2*k + 8. Let j be h + 0\/(1 - 0). What are the prime factors of -1 + (-20)\/j + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53513 divided by 6?\nAnswer: 53513\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (146\/4 - -3)\/(-2). Let n = 20 + b. What is the closest to -1 in n, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8069.8 + -5740. What is i rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2)*26\/845?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/20 + 31\/60. Let f = 0.44 - 0.54. What is the second biggest value in t, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/(17\/(1836\/(-24)))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - -3171 - (20 + -14).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 3*m - 6. Give r(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284550 or -284571?\nAnswer: -284550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -452 + -3335636?\nAnswer: -3336310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 - 154. What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2)\/s)**(-10))**(3\/28)\/((s\/s**2)**(32\/5)\/(s**(-3)\/s**(-7))) assuming s is positive.\nAnswer: s**(439\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, b: 1, d: 1, u: 1, f: 1}. What is prob of sequence yu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 - 6*q**6 + 14*q**2 - 4*q**2 wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74180 is divided by 63.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/15 + (-6)\/9. Let b(r) be the third derivative of 2*r**2 + 5\/12*r**4 + 0*r + s + 2\/3*r**3. Let y(t) = 3*t + 1. Determine -2*b(f) + 7*y(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 149. Let f = 1 + 14. Let y = f + h. Which is the smallest value? (a) 0.5 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447 + 898 - 4*d**2 - 451.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -32 + 21 + (-2482)\/(-1)?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p**2 - 5*p + 211. Let i(a) = -2*a**2 + a - 42. Calculate 11*i(y) + 2*k(y).\nAnswer: -2*y**2 + y - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 2*q**2 + 3*q - 38*q + 38*q - 7*q**2 + (-4 + 3*q - q + 2)*(-91 - 3*q + 91) to d + f*q + c*q**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 227. Let i be (-16)\/(-3) + y\/14. Find q such that -20\/3*q - 8 - i*q**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 254455?\nAnswer: -254456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 588 divide 2244396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*g + (2 - 3 + 0)*(4*g - 1 + 1))*(9 - 2 + 9).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116\/3 + 121\/3. Is d <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 + 7*p - 3*p**2 + 9*p + p**2.\nAnswer: -2*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 2. Let r(f) = 14*f - 182. Let h(v) = -4*a(v) - r(v). What is the remainder when 60 is divided by h(14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191\/195 - -17\/15. Let k = -109069\/5 + 21888. Let b = -74 + k. Sort c, 3, b in increasing order.\nAnswer: c, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7053 - 3220. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 2:18 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-6) + (-18)\/(-4). Solve p = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -432 - -496. What is the derivative of -b*o + 12 + 71 - 86*o + 18 + 13 wrt o?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 (base 11) in base 13?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**28\/(i**(1\/2)*i*i**(1\/3)) assuming i is positive.\nAnswer: i**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 180*(16\/(-10) - -2). Calculate the common denominator of (-334)\/u - (-4)\/3 and 0 - -5 - (8 - (-23)\/8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - 1.9. Let f = -30 - -46. Let v = 18 - f. Which is the second smallest value? (a) v (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/5? (a) 0.139 (b) -1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42765, 85551, 128337, 171123?\n\"Answer: 42786*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**2 - 4*j**2 - 4*j**2 + 3*j**2 to the form p*j**2 + o + s*j and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*f = 268*f + 19 + 219 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 7 = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.5, -0.4, 0.14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v - 60 = 0. Suppose y + v = 4*y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-28)*24\/(-18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)*w*w\/(w*w*w**4)*w**2\/w**(-1)*(w**12*w*w*w**11)**(4\/7) assuming w is positive.\nAnswer: w**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(3\/45). Solve 3 + 2 = -i*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.1*-15.78.\nAnswer: -822.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 202, 206, 212, 220?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 9*v = -544. Calculate the remainder when 96 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -432.06.\nAnswer: 432.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 57*y**2 - 7*y - 5. Let h be z(-4). Suppose -x + h = -5*q + 120, -3*x + 2459 = -q. What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/8, -2\/19, 16?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/105 + a**5\/30 + a**2\/2 - 3*a. Let z(b) be the first derivative of x(b). Determine i so that z(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - -1c027?\nAnswer: 1bddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3173363 (base 8) to base 7.\nAnswer: 10136055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60424.\nAnswer: 2, 7, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76033788 is divided by 155.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4152 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32593.\nAnswer: 11, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o - 73 = 161 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1163 divided by -20.\nAnswer: 1163\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 4*p)*(-16 + 9 - 17 + (-2 - 1 + 2)*(2 - 4 + 3))*(2 - 3 - 1).\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -3, 0.2, -0.2, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.128 * -0.5.\nAnswer: 39.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/3 + 11180405*i\/3 + 134162700.\nAnswer: 5*(i + 36)*(i + 2236045)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02733226625 to 4 dps.\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**4 - 85*g**3 + 540*g**2 - 1420*g + 1625. Let b(y) = -4*y - 1. Let m(k) = 25*b(k) + f(k). What is c in m(c) = 0?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75245575*i + i**2 - 150491182*i + 75245558*i.\nAnswer: i**2 - 49*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 125*t**3 + 7800755*t**2 + 608498283344*t\/5 - 608537287744\/5 = 0.\nAnswer: -780088\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + 725\/(-25))\/(-12*2\/(-168)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 1596672?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -22*l - 56. Let u be n(-3). Suppose 0 = -5*i + i - 24. What are the prime factors of i*((-115)\/u + -3)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*a - 69*a + a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + v + 0*v)*(6*v + 28*v - 15*v) + (-3 - 2*v + 3)*(2*v - 3*v + 3*v) to z*v + s + f*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1368)\/(-608)*(4\/3)\/4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -4\/7, 13, -21, -3, 275?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f - 2. Let x be j(7). Let q = x + -34. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -2\/3*d**3 + d**4 - 3*d - 13\/20*d**5 + 0*d**2 + 1\/5*d**6 - 1\/42*d**7 + 25. Suppose l(x) = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -386, -1, -3, -4, 1 in decreasing order.\nAnswer: 5, 1, -1, -3, -4, -5, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 70.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 870146769 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(14\/11)\/(q\/q**(-5)*q**(3\/8))*(q**(1\/4))**(-14)*(q*q**(-2))**(-6\/19) assuming q is positive.\nAnswer: q**(-11727\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 622451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35973 and 2223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/(39\/22230). Let o = -296 - v. What is the remainder when o is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 5*j + 25, 11184*u - 7*j = 11186*u - 38 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a - 7*a**2 + 0*a + 0*a**2 wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*1)\/(5*19\/(-19))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 4) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40867*k = -37185*k - 357154 for k.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 78, -626, 102 in descending order.\nAnswer: 102, 78, 0, -626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329 = -2*v + 171. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = 4. Let s(a) = -7 + 7 - a**f. Let b(r) = -3943*r + 1310*r + 1318*r + 1318*r. Give b(s(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5084 = -237*o - 581 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*v**4 + 20*v**3 + 31*v**2 - v + 10 wrt v?\nAnswer: 2184*v + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 123, 5, 4 in ascending order.\nAnswer: 4, 5, 6, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 4*m**2 + 6*m - 2. What is u(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d + 570 + 606 = 0 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p**(-6))\/p)*p)\/((p\/(p*p\/p**(-15)))\/p*p))\/((p*p*p**(13\/3)*p)\/(p*((p**(-1\/7)\/p)\/p)\/p)))**(-48) assuming p is positive.\nAnswer: p**(-4880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m\/m**(-1))\/m)\/m)\/((m**(1\/3)*m*m)\/m))\/((m*((m*m**(-1))\/m)\/m*m)\/m)**23*m**3\/(m*m**(-6))*(m\/(m\/(m**(-2\/5)*m)))\/(m*m**(-3)*m) assuming m is positive.\nAnswer: m**(484\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 17604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888964860.\nAnswer: 2, 3, 5, 7, 83, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/28)\/((-112)\/(-196))*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82703381.\nAnswer: 31, 2667851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**(1\/6))**(-2\/103)\/(((((((u*u**1)\/u)\/u)\/u*u)\/u)\/u)**22*u*u**(1\/7)*u*(u**(-2)*u)\/u) assuming u is positive.\nAnswer: u**(307\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1268458 + 17549.\nAnswer: -1250909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 99. Suppose -5*j - 35 = 4*a, -4*j - y = -3*j + a. Let n(t) = 5*t**2 + 16*t + 8. What are the prime factors of n(j)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 3*z - 3*z - 3*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 0*g - 5*g + (3 + 0 - 1)*(-2*g + g + 0*g)*(-2 + 2 - 2).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18733736*-0.04\nAnswer: 749349.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2765 is divided by 140.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 26 + 2 = 0. Determine s so that -16*s**3 - s**4 + j*s**4 + 12*s**2 + 33 + 17 + 80*s = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*z - 36 = 0, 4*r - 3*z + 7*z - 24 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**2*p)*p\/p**(-3\/2))**(-21)\/(p**(2\/9)*p**(-1\/3)\/p*(p\/(p**(3\/8)*p*p*p)*p)\/(p*(p**(-4)\/p*p)\/p)) assuming p is positive.\nAnswer: p**(2159\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 15*c = -20179. Let z = c + -69. List the prime factors of z.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509\/4 + (6 - 25\/4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p. Let u = -13 + 11. Let j(x) = x**3 + 3*x**2 - 2. Let k be j(u). Let t(m) = 9*m**2 - 5*m**2 - 5*m**k. Give t(w(y)).\nAnswer: -289*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + 2*(-2*sqrt(30) - sqrt(30)))*3*-2)\/(sqrt(54)\/(sqrt(576) + sqrt(576)*-4 + sqrt(576))*-2).\nAnswer: 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 810412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -10012020101011?\nAnswer: -10012020101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 7597.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t**5 + 1884*t**4 + 4425*t**3 - 780*t**2 - 4404*t - 1104 = 0. What is t?\nAnswer: -2, -1, -2\/7, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - 13.6. Let g = n - -15.5. Let h = g + 0. Which is the third biggest value? (a) -3\/4 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 - 6 = 0. Let n = 6 + -4. Let y(c) = 2 - 1 - n*c**2 + 1 + 2*c. Determine y(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/2 - -2)*2. Let z be 6\/(-18)*(-6)\/(-4). Which is the nearest to 0.2? (a) z (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1051*o - 1051*o + 170*o**4)*(-o - 4*o + o).\nAnswer: -680*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4bc9c775 + -4?\nAnswer: -4bc9c779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 266945971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let d(q) = -297459*q**2 + 232. Determine z(d(r)).\nAnswer: 297459*r**2 - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*l**4 + 26*l**3 - 1879 wrt l?\nAnswer: -80*l**3 + 78*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - s + 510. Let w be j(0). Round w to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2\/339785?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h + 21 = 0. Let r(a) = -a - 9. Let x be r(h). What are the prime factors of (6 + -4)\/(x\/(-35))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(sqrt(8) - (sqrt(8) + -3*sqrt(16)\/sqrt(2))))\/(3*sqrt(288)*-3).\nAnswer: -sqrt(7)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15342.\nAnswer: 2, 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212022010112 (base 3) in base 16?\nAnswer: f1b7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from {k: 3, i: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**20)**41*(m*m**(-15\/2)*m)**(6\/5) assuming m is positive.\nAnswer: m**(4272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21031 (base 5) in base 9?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) + 380\/(-9). Let c = -18 - l. Let n = c - -41. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 317 * -5562.\nAnswer: -1763154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 572210 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 5*x**3\/3 - 15670*x**2 + 49109780*x + 4585. Let d(y) = 0. Calculate y.\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*d - 388*d + 193*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/3 and -137\/5592?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154b - a?\nAnswer: -1558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 356*h = 353*h + 3, -4*h = 4*u + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 47310401 (base 8) to base 2\nAnswer: 100111011001000100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18029416 divided by -4?\nAnswer: -4507354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/3554224 and 7\/14892.\nAnswer: 10662672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7376720 divided by -1844180?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**28)**(-20)*m\/(m**(3\/14)\/m)*m**(-14\/13) assuming m is positive.\nAnswer: m**(98409\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 92*z**2 - 27*z + 1110. Give v(46).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - 4*k - 2, 3*k = 5*n - 13. Solve -n - 2 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6635292, -6635290, -6635288, -6635286, -6635284?\nAnswer: -6635282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibidbbcb. What is prob of sequence bcbi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718383528 to the power of 1\/3, to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 4, -12 in descending order.\nAnswer: 102, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + -10 + 6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyuw when four letters picked without replacement from wuwyryruy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 13, e: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**9\/3024 - t**5\/15 + 5*t**4\/12 + t. Let a(q) be the third derivative of d(q). Differentiate a(p) wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 10296 = -9*o. Which is smaller: o or 1286?\nAnswer: 1286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2889319, -5778639, -8667935, -11557195, -14446407, -17335559?\nAnswer: -20224639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 63. Solve 5*d - 2*f = b, 3*f + 6 = 4*d + f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 686654919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/848105 and -173\/2281110.\nAnswer: 66152190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, a: 2}. What is prob of picking 2 a and 2 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23451962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 64 = -3*m + 3*d, 3*m + 73 = 4*d. Let p(v) = v**3 + 19*v**2 + 2*v + 41. Let c be p(m). Solve -5*k + 18 = c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-2 + r + 2)*(4 - 1 + 7).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + y - 1, -2*m - 5*y + 9 = -24. Let z(t) be the second derivative of -1\/6*t**m + t + 0 + 0*t**3 + 0*t**2. Let h(s) = 2*s**2. Determine h(z(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39150 divided by -5.\nAnswer: -7830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**8\/336 + i**7\/210 + 1361*i**5\/60 - 55*i**4\/24 - 71*i**3\/6 - 10*i**2 + 58. What is the second derivative of y(x) wrt x?\nAnswer: -20*x**3 + 12*x**2 + 2722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*z = 45, -2*b + 46*z - 35 = 51*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -5b93170?\nAnswer: -5b93178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -808 divided by 4\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32284*s**5 + 64*s**3 - 1210*s**2 + 168*s - 12?\nAnswer: -1937040*s**2 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.1 + 3210.1. Is y smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*k - k - 5*k**3 - 10 - 20*k**2 + 7*k - 9*k.\nAnswer: -5*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(5\/(-440)). Is (-11)\/y - (-3411)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1140 - 1155) + (5 - (0 - -3)) + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17175 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -7*b + 2*b. Let o = -20.43 + 12.43. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3395703*c**2 + 1697867*c**2 + 1697834*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 14*l**2 + 7*l + 1. Let m be p(-7). Let i = m + 40. Let r be (3\/210)\/(12\/i). Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 16 = -2*b. Suppose -b*f + 465 = -871. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12538 is divided by 2088.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {e: 1, i: 1, w: 2, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/3511 + -7012\/17555. What is the closest to b in -4, 3, -110?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 27.\nAnswer: -13\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*g - 8\/7 + 4\/7*g**2.\nAnswer: 4*(g - 2)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/3 and -3150 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -1\/3 (c) 9 (d) 0 (e) -4\/9 (f) -0.36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-32)\/(-96))\/(2\/174 + 0) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (4 - 2)) + (51 - 53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r + 42 = 50*r. Calculate the remainder when 75 is divided by 11\/(5 - (r - 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20344397\/15375867 - 48\/47021. Let g be ((-6)\/(-9))\/(218\/3). Let k = o - g. Which is the closest to 0? (a) 0.4 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1734*u**3 - u + 710 wrt u?\nAnswer: -10404*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3632\/7 or -0.1?\nAnswer: 3632\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 4*q + 3. Let g be f(5). Let x(w) = -7*w - 3. What is the remainder when 28 is divided by x(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -326, 4, -3 in descending order.\nAnswer: 4, -3, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y**2 + y - 1. Let m be x(3). Let n = m + 26. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -65, -0.3, -26\/7959?\nAnswer: -26\/7959","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/48*-4)\/(79\/(-158)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10897 - -464.99103. Let k = 465 - o. What is the closest to 1\/2 in k, 4, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-13619)\/(-9) + 18\/(-81) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2397\/776 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51207 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 364\/309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3082148 + 3082121.99999. Let w = 43 + -69. Let z = w - y. Round z to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 + 2*x + 3. Let u(f) = 420*f**3 + 3*f**2 - 4*f - 9. Calculate -3*d(c) - u(c).\nAnswer: -423*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 + 15*n - 27. Let x be z(11). Suppose -2*f - 30 = 3*f. Let u = x + f. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + 0.2. Let c = -3.34 + f. Let p = -0.06 + c. What is p rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(187)*-5)\/(sqrt(396)\/sqrt(4))*-4*-1.\nAnswer: -80*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 636272591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/655204 or 1?\nAnswer: -3\/655204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.8851 - -0.0149. Let u = 26.482 - h. What is u rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-106)\/72)\/(3\/6) and -43\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -6.8. Let i = 1.7 + g. Let z be 2 - 2*14\/8. Which is the third biggest value? (a) -5\/3 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 n, and 1 u when four letters picked without replacement from {e: 2, n: 5, h: 6, o: 1, u: 5}.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/9 + 35807524*b\/9 + 160272346876322\/9 = 0.\nAnswer: -8951881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 134. Let q be i(-15). Suppose 0 = -94*d + q*d + 15. Solve -x - 6 = -g - 0*x, 0 = d*g - x - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6461 + -6465. Let z(v) = -v**3 + 2*v**2 + 4*v - 3. Let l be z(3). Suppose -a - 5 = -l*a. Put a, 1, n in descending order.\nAnswer: 1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -13. Let g = -16 - -7. Let p be u\/(-2) - g\/2. Solve 6 = -p*t + o - 23, -8 = -2*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74444 and 6?\nAnswer: 223332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/10)*v)\/(v*(v*v\/((v**(-9)*v*v*v*v)\/v)*v*v)\/v))**(9\/5)*(v**(-2\/15)\/v**(-2))\/(v\/(v**7*v)*v\/(v*v**2)) assuming v is positive.\nAnswer: v**(-557\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -46) + (17 - (7 - 16))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1103912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6097144139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 29 + 1*2\/(-1). What is the common denominator of ((-4)\/l)\/(((-9)\/132)\/3) and -91\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/3 - 22510*b**2 - 202548*b - 405072 = 0.\nAnswer: -33756, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 4*i - 4, -3*n + 9 = 5*i + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 902, 2917, 6760, 13019, 22282, 35137, 52172?\nAnswer: 73975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - b**2 - 1. Let o(n) = -3*n**3 + 4*n**2 + 4. Suppose 29*i - 38 = 78. Give i*h(p) + o(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n\/(n*n**(-2))))\/n)*n*n**(-23))**(-2\/43) assuming n is positive.\nAnswer: n**(38\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10068000 rounded to the nearest one hundred thousand?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/(-287) - 16\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:12 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213408 by 30.\nAnswer: -35568\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1353*o + 1114. What are the prime factors of d(5)?\nAnswer: 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28109 is divided by 189?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {w: 3, x: 1, e: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2769\/(-9) + 5)*(-9)\/12 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:09 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*z**2 + 2 + 2*z**2 - 5*z + z**4 - 2*z**4 to the form r*z**3 + p*z + m + i*z**4 + s*z**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1743 - 727. Round j to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (-204 - (3 - 128))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -2. Let f be (0 - 3\/(-2))*2. Solve -f*o - 2 = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8881947 is divided by 69390?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t**2 + t - 2. Let v be (-120)\/(-16)*(-2)\/3. Let y(g) = -31*g**2 + 2*g - 5. Let f(o) = v*n(o) + 2*y(o). List the prime factors of f(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let h(s) = 2*s**3 - s**2 - 3*s + 2. Calculate the remainder when h(a) is divided by (1 - 0\/(-3 - -1))*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*v + 3*l - 3, 3*v - 4*l = -3. Suppose 2*a = 7*a + 3*h - 35, v*h = -2*a + 23. What is the highest common factor of a and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h - 24. Let i be r(-4). Suppose -3*d - 30 = -i*d. Let p be ((-2)\/d)\/(3*(-4)\/(-18)). Which is the closest to 0? (a) p (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 19 - 9. Let c be (-2)\/o - (207\/(-15))\/3. Suppose c*j + 859259 = -5*i - 410751, -5*j + 2*i - 1269996 = 0. Round j to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 565.387467113 + -565.74537. Let n = -0.3579 - c. What is n rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4974598 is divided by 606.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.03 and -0.5.\nAnswer: -5.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21825437?\nAnswer: 47, 464371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*f = 1240 + 1123 + 409 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, v: 12}. What is prob of picking 1 v and 3 z?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14016\/33288*(-95)\/(-420).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + -55. Let a = 66 + h. Solve -k - 2*k + 11 = -4*s, -2*s = -3*k + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/18 of a week?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let f be (-3 - -4)\/((-1)\/(-9)). Let a be (-2)\/f*-3*3. Suppose 0 = 4*w - q + 20, -a*q + q = -4. Give u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -49 + 57. Let j be -1*(-1)\/(-2*k\/112). Solve j*g - 20 = 19*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2\/5 + 1638882*j\/5 = 0.\nAnswer: -546294, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**4 - 16*x**3 + 21*x**2 + 11*x + 11. Let w(b) = -b**4 + 3*b**3 - 4*b**2 - 2*b - 2. Let i(r) = 2*t(r) + 11*w(r). Factor i(y).\nAnswer: y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 4*s + 3. Let d be g(-4). Find the second derivative of m - 8*m**4 - 12*m**3 - 9*m + 12*m**d wrt m.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(-2*sqrt(6))*-4.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 136565, 1\/9, -3\/5 in ascending order.\nAnswer: -3\/5, 1\/9, 6, 136565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-58)\/(-5) + -12 - 4\/(-10). Which is smaller: 4\/291 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/19, -3, 1, -331.97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b + 0*b - 2 - 7*b**4 + 19*b**4 + 2*b to u*b + d + v*b**2 + s*b**4 + j*b**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -172986, -345982, -518978, -691974, -864970?\n\"Answer: -172996*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 11. Let h = k - 3. What is the lowest common multiple of 10 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 60*n**2 + 277*n + 135. Calculate d(-5).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7415878 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8960\/(-30912)*189\/(-210)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/6 - 2*k**3\/3 + 8*k**2. Let f(c) = 17*c + 17. What is -2*f(q) - 9*l(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -4 (c) -6 (d) -3 (e) 146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*q - 28, -2*q - 1 = k + 1. Find the common denominator of 139\/12 and 97\/(-2)*(-11 - k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 10*s - 10. Calculate p(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) 4 (d) 2\/13 (e) 16\/47 (f) -0.3 (g) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**3 - 208*h**2 + 39*h - 47. Give i(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075420 rounded to the nearest ten thousand?\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1162*x - 26910. What is l(-23)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-6) + -3)\/((-10)\/(-195))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339393?\nAnswer: 3, 113131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:30 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -2042, -4634, -8274, -12962, -18698, -25482?\nAnswer: -33314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 28*u**4 - 688*u**3 + 3408*u**2 - 1728*u = 0.\nAnswer: 0, 4\/7, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 9:06 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -1\/3, 26\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12317.64ug to milligrams.\nAnswer: 12.31764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from zzzfwffzwz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-12) + 224\/12. What is the greatest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22857236.\nAnswer: 2, 5714309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -2\/3, -32, -33?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 2\/47 (b) 0.2 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.8. Let j = -0.8 - 3.2. Which is the nearest to 0? (a) -1 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/2 - 278*d**3 - 111051*d**2 - 3602602*d + 7427861\/2 = 0. Calculate d.\nAnswer: -241, -37, 1, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 35*g**2 - 5*g - 5. Let q(w) = -258*w**2 - 3*w - 13. Let z(k) = 62*k**2 - k + 1. Let y(v) = q(v) + 5*z(v). Give 8*c(u) - 5*y(u).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119 * 3035.\nAnswer: 361165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57689650, -115379293, -173068936?\n\"Answer: -57689643*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75739 = 26*o + 63*o. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 4\/13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 at least 533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 2 - sqrt(300))*-6 + (sqrt(300) - 2*sqrt(300))*4 + -4 + sqrt(300)*-3 + 1)**2 + 1.\nAnswer: 2100*sqrt(3) + 14926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -36.000124. Round i to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -f + 303, 4*f = w + 12 + 150. Is w\/(-24) - 7 - (-8471)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 80*z**3 + 163*z**2 - 82*z.\nAnswer: -z*(z - 1)**2*(z + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 3, n: 1, v: 1, q: 2, b: 1}. What is prob of picking 2 b, 1 n, and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/14*25025\/(-2750)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 6*f**2 + 4*f - 3. Let o be q(6). Let h = o + 3. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1272177? (a) 0.3 (b) 10 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 59*d. Let x(y) be the third derivative of -y**4\/12 + 210*y**2. Calculate x(p(t)).\nAnswer: -4*t**2 + 118*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/858 and -31\/214656.\nAnswer: 2361216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-r**3 - 3*r + 3*r) + (-r + 5*r - r)*(2 + 0*r**2 - 11*r**2 - 1)*(1 - 5 + 2).\nAnswer: 65*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:11 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 + 46*w**2 - 43*w - 90 = 0. Calculate w.\nAnswer: -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2001510 is divided by 116?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -21. Let p = a + -10. Suppose u + p*u = 335. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let g(d) = 297*d**2. Let h(s) = -17*s**2. Let y = 2 + -90. Let q(v) = y*h(v) - 5*g(v). Determine r(q(m)).\nAnswer: 242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*f + 114 = -138*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -43253 - 0.03842\nAnswer: -43253.03842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -4*n**3\/3 - 45*n**2\/2 + 15*n. Is 11 a factor of x(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-29)\/((-2871)\/(-6))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t - 3 + 4*t - 5*t. Let w(m) = -3*m + 2. Let y(h) = -3*w(h) - 2*z(h). Let p(j) = 0*j**2 + j**2 + 3*j**2 + 7*j**2. Calculate y(p(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - ((-30 - 3) + (-2 - -10) - (8 + -22)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m. Let n(v) be the third derivative of -v**6\/72 - 29*v**3\/3 - v**2. Let x(i) be the first derivative of n(i). Calculate s(x(c)).\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 702 = 31*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72747 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 1\/3*t**3 - 1\/6*t**4 + 0 + t**2 - 1\/10*t**5 + 7*t. Factor b(o).\nAnswer: -2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2144353*y. Let z(u) = -490*u**2. Determine z(n(v)).\nAnswer: -2253142396418410*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w + 1. Let y be i(1). Let p be (-196)\/(-10) - 2\/y. Suppose 4*l - 5*l = 5*l. Solve a - s + 2*s - 4 = l, -a + p = 5*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d**2 + 0*d - d**2 + 5*d**2 - 2*d**2 + (-5*d + 3*d + 3*d)*(-2*d + d + 2*d) - 2*d**2 - 4*d**2 + 4*d**2)*(3*d + 3*d - d)*(-d - d - 3*d).\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0115? (a) -2 (b) -0.3 (c) 0.02 (d) 2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -415 + 418. Let m(c) = 88*c - 1. Let q be m(1). Suppose 0 = -n*r + q + 12. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/21 and 23\/804?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 0. Let p be ((-4)\/(-5))\/(4\/10). Which is the second biggest value? (a) z (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8769946.5 minutes to weeks.\nAnswer: 870.034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 5*q**2 - 2*q**4 + (-q**3 + 2*q**2 - 2*q**2)*(2 - q - 2) - 47*q + 47*q - 19*q**4 in the form k*q + y*q**3 + w + v*q**2 + a*q**4 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g**2 + g. Let k(s) = 4*s - 1. Let j be k(4). Let i be 6*(12\/(-8) - -2). Suppose -u + 4*u + j = -i*w, u + 15 = -3*w. Give m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65323+0.96\nAnswer: 65323.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:18 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w. Let m = 645 - 455. Suppose -2*v = -7*v + m. What is the remainder when v is divided by n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 27. Suppose 0 = -3*h - 4*t + 296, 2*t + 113 + 75 = 2*h. What is the remainder when h is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*g - 9, 3*i - 3*g - 5 = 4. Let l be (-1)\/((36\/69)\/i). Let x = l + 353\/60. Which is the second biggest value? (a) -3\/5 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -45. Let o be (-32)\/(-8) - w\/(-2). Solve 3 = 2*q - o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.394 and -1.194911.\nAnswer: -5.588911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*j**4 - 24730488*j**3 + 136026396*j**2 - 249387050*j + 152404824 = 0.\nAnswer: -57252, 11\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*((-2)\/(-2))\/((-15)\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(24\/7)*s)\/s**(-26) assuming s is positive.\nAnswer: s**(172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(275) + -3)*3*-2 - (-5*sqrt(275)*3 - 6*(-4 + sqrt(275))))**2.\nAnswer: -1440*sqrt(11) + 4779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -542.9379413 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16873\/8 - 2103. What is the common denominator of x and -71\/106?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 50. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 = 0, 4*o + 4*n + n - 15 = 0. Let u be -2 - (-2 - o*5\/20). Which is the nearest to 1? (a) -4 (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 821314 and 39741?\nAnswer: 2463942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/5, 0, 1\/6, -2\/13 in decreasing order.\nAnswer: 1\/6, 0, -2\/13, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*h - 5*h - 4*u + 3 - 7, 13*u = 4*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2168 by 15046.\nAnswer: -1084\/7523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 180*k + 534*k - 62*k + 41 - 91*k. Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - 3. Suppose 1 = 4*t + 9. Let m be a(t). Suppose 3*v = d + 11, -m*d - 10 = 5*v - 3*d. Solve 3*r - 15 = -5*l, 2*l = v*r - l + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v - 5. Suppose 0 = -4*p - 30 - 6. Is q(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 26*z**2 + 140*z + 392.\nAnswer: (z - 14)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 - 32*q + 117. What are the prime factors of t(32)?\nAnswer: 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3 - 5*m**2 + 3*m - 3. Suppose 2*g + 1 + 1 = 0. Let u(s) = -s**3 + s**2 - s + 1. Determine g*f(k) - 3*u(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - -0.9. Let d = f + 0.91. What is d rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 7*m + 17*m + 1 - 1 - 2*m + (2*m - 2 + 2)*(-2 - 1 + 2))*((1 - 2 - 1)*(-1 - 9 + 0) - 7 + 1 + 4).\nAnswer: 180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1097 or -1089?\nAnswer: -1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/344080 and -11\/156400.\nAnswer: 1720400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3215625 is divided by 1741?\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*b**3*u**3*v + 17*b**3*u**2*v**2 + b**3*u + 41*b*u**3*v**2 - 15*b*u**3 wrt v.\nAnswer: 34*b**3*u**2 + 82*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - l - 4 - 7*l - 5. Let d(m) = -14*m - 14. What is -5*d(f) + 8*k(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-39) - 13\/169*(-3)\/54*-18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17013 divided by 3?\nAnswer: -5671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516986637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*q**2 - 166*q + 2.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*a*x*y**2 - a*x*y + a*y**2*z**3 - 2*x*y*z**3 - 2*x*z**2 - 10*y**2*z - 2*y wrt a?\nAnswer: -91*x*y**2 - x*y + y**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68327838 and 204983514.\nAnswer: 204983514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1852 by -463.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915*o**3 - 517*o**3 - 1792*o**3 - 4*o**3 - 22*o**3.\nAnswer: -3250*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66082712 to the power of 1\/2, to the nearest integer?\nAnswer: 8129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from cicaiaraiir.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1096572846 at most as big as -1096572847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9192*v + 4515*v - 13831*v.\nAnswer: -124*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 249 - 243 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -2585.\nAnswer: -5\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21862 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -37*d + 34*d + 2801*d**2 + 3*d. Let u(f) = f**2. Calculate u(x(q)).\nAnswer: 7845601*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:01 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, 95, -2, 17, 3 in decreasing order.\nAnswer: 95, 17, 3, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 10:03 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 224.\nAnswer: -11\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -12\/11 (b) 3 (c) 5442 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*k + 35, 2*j + 32*k + 10 = 37*k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/121 and -48\/121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 611.9672 centuries?\nAnswer: 6119.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 8 - 2 = z, 0 = 2*y + 8. Suppose 4*a - z = 9*a. List the prime factors of 1 + (20 - (1 - -1)) - a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17.62, 0.01, 1\/133?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12890 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 746, 5692, 18922, 44516, 86554, 149116?\nAnswer: 236282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*r - 495, -415 - 75 = -4*h - 2*r. What is the remainder when h is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42909556, 42909557, 42909560, 42909565?\nAnswer: 42909572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 336 = 3*i, -4*i = 2*c - 163 - 5. Calculate the highest common factor of 48 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 48 = 4*n, n + 440*g - 444*g = 1 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -646710.\nAnswer: 646712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**5\/15 - z**4\/2 - z**3 - 2*z**2\/3 - 26. Factor k(v).\nAnswer: -v*(v + 1)**2*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - -0.15. Let v = 0.20061 - b. Round v to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, 618, -1\/2 in descending order.\nAnswer: 618, 19, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 + 3.17. Which is the second biggest value? (a) -3 (b) 2\/5 (c) 3\/2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m + 16. Let n(k) = 2*k - 5. Give 5*g(d) + 16*n(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdqkkdqkddd. Give prob of sequence kq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*270110\nAnswer: -108044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(((-35)\/(-2))\/7). Suppose 0 = -q + 2*y + 421, g*q + 3*y - 887 = -2*y. What is q rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -3\/2*k**2 + 3\/2*k**3 + 3*k + 0. Is x(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-6)\/60). Suppose -d = -v + j, 0 = v + 4*v - d - 40. Suppose v*x = 12*x - 42. Calculate the highest common divisor of 154 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3170426041 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.9? (a) 5 (b) 1\/41 (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**3 + 4*k**2 - 5*k - 4. Let l(g) = -g**2 + g + 1. Let z(p) = -j(p) - 5*l(p). Let y(o) = -8*o**3 + o**2 - 1. Give 7*y(v) - 6*z(v).\nAnswer: -2*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 48 = -4*a, 3*a - a - 4*u = 4. Let p = -3 + 5. Suppose -3*c - p*c = -25. What is the highest common divisor of a and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 - (-13 - -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/15)*((g\/(g*g\/g**(-1)))\/g)\/g*g*g*g\/g**(4\/5)*g\/(g\/(g\/(g\/(g\/(g**(3\/7)*g))))) assuming g is positive.\nAnswer: g**(-248\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931 + 3793 + 15*b**3 - 1862.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - (1 - 49)) + (0 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -21, 17, 57, 99, 143?\n\"Answer: f**2 + 33*f - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5613 - 0.2613. What is the third smallest value in k, 5\/18, -1\/4, -1\/8?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 19*l - 249. Calculate h(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, o: 2, i: 7}. What is prob of picking 1 o and 2 i?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a factor of 300113385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = 6*z - 990. Solve 0 = -5*h + z*s, -s = 2*h - 9 - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9118.4+-60593764\nAnswer: -60602882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.9, 3, -640.7?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, b: 9}. What is prob of picking 2 b?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/1055278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 - (17 + 2). Let n be -1*1\/(1\/g). Let i be (-3920)\/120 + 33 - 269\/(-3). Calculate the greatest common factor of i and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 72*o**2 + 3*o - 13. Let u be g(2). Are 291 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Is (-3486)\/(-7) + 0 + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.022 - 0.03. Let n = -3.008 - x. Which is the nearest to -2\/7? (a) 2 (b) 2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 3. Let j(b) = -21*b + 14. Let c(h) = 3*j(h) - 14*o(h). Let k(w) be the third derivative of -5*w**4\/8 + 5*w**2 - 85. What is c(k(x))?\nAnswer: 105*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/21*114\/627?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5 + 108*q**4 - 1260*q**3 - 6400*q**2 + 90750*q + 382500 = 0.\nAnswer: -5, 15, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -16)*(-3)\/(-12). Let j(l) = l**2 + 2*l + 1. Let t = -5 + 3. Let h be j(t). Put h, -5, s in ascending order.\nAnswer: -5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k + 81*k = -1785 - 1212 + 853 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23311 (base 4) to base 3\nAnswer: -1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.012 (b) -1\/2 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -509, -2055, -4631, -8237, -12873?\n\"Answer: -515*d**2 - d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1831405?\nAnswer: 5, 157, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/13 - (-56)\/(-195). Let w = 0.2388 - 0.0388. Let t be 1\/(-1*(-2)\/(-10)). What is the nearest to j in w, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 103*t**7\/210 - 551*t**5\/30 + t**3\/3 - 93*t**2 - 7*t. Find the third derivative of j(r) wrt r.\nAnswer: 2472*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 12*m - 10. Let g be t(-11). Let r be (14 + -26)*g\/(-3). List the prime factors of (13 - -4) + (-2 - -2) - r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 1. Let j(r) = -r**3 - 4*r**2 + 2*r + 3. Is j(z) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 128 = 43*d - 33*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (808*j**2 + 635 + 614 - 1242)*(-1 + 1 - 2*j) as f*j**2 + t*j + g + m*j**3 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 426681 - 426680.9. Let v = -18.9 - 127.1. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.9 + -8. Let o = -58.93 + 61. Let q = 2.47 - o. What is the third smallest value in q, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z - 16*z + 0*z)*(-2 - 3 + 0) in the form a + b*z and give b.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*n + 696, -441*v - 4*n = -445*v + 544. Is 129 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -p - 3. Let m = p - 9. Let j(r) = 13*r + 23. What is the hundreds digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.2 - -12.3. Let i = 670 + -666. Which is the third biggest value? (a) i (b) 0.2 (c) -1\/4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4123514 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 7:15 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 9) in base 7?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:12 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2199 + -1815. Calculate the lowest common multiple of 48 and x.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let d(t) = 20*t**2 + 4*t - 27. Let y(l) = 7*l**2 + l - 9. Let w(j) = 6*d(j) - 17*y(j). What is the remainder when w(-9) is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:37 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 80*q**2 - 400. Let p(k) = 1629*k. Give f(p(i)).\nAnswer: 212291280*i**2 - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3045)\/441 - ((-4)\/(-15))\/((-504)\/(-180)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 6*k - 15*k - 98 = 0. Let w(s) = -16*s + 20. Let u(t) = 3*t - 4. Give k*w(o) - 11*u(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364*t + 1375*t + 11 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-21)*1)\/(50\/(-225))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 3. Let s be x(2). Let g be (s\/15)\/(4\/10). Let p be ((-10)\/90)\/(2\/(-6)). Which is the closest to 2? (a) 0 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 31*b**3 + 3*b**2 - 3*b - 30. Let w(r) = -31*r**3 - 4*r**2 + 4*r + 31. Let h(k) = 4*u(k) + 3*w(k). What is the first derivative of h(j) wrt j?\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-18) - 190\/(-45). Let t(w) = -w**2 - 25*w + 2. Let a be t(-25). Suppose a*s - 20 - 2 = -p, 42 = c*s + p. Which is bigger: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from hhoazzhdghza.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 0 - 2*y + 2\/3*y**5 + 0*y**4 - 16\/3*y**2.\nAnswer: 2*y*(y - 3)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1917? (a) -5 (b) 17 (c) -9 (d) 0 (e) 41 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 15 = -15. Calculate the remainder when (-102)\/(-10)*(5 + 0 - p) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*p + 1)*(-1 + 0 - 1) + (-34*p + 15*p + 18*p)*(0 - 1 + 0).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221137248 by -4.\nAnswer: 55284312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p + 76*p - 74*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 11*m + 70. Suppose m*g + 1056 = 16*g. Calculate the remainder when g is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*j - 3*m, 2*m = j - 61 + 70 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 8:52 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 14*m**2 - 15*m - 23. Let h be y(-13). Let g = 3 - h. Solve g = 4*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27939 + 27939.57268. Let q = i - -1.02641. Let a = q + -1.6. What is a rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 2096650 - 2096650.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**2 - 3*z. Let m = -31 - -63. Suppose m = 9*w - 4. Suppose 0 = w*i + 33 - 21. Let s(h) = 7*h**2 + 2*h. Determine i*s(n) - 2*x(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 750862646 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685301169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (5 - 4)*13. Suppose 0 = -3*s - 3*i + 102, 5*i + 106 = 4*s + 3*i. Let a = s + k. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/120 and -149\/4740.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 895283716, 895283714, 895283712?\nAnswer: 895283710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 + 2069\/8. Let z be (5 - 552\/40) + 9. Which is the biggest value? (a) z (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -5*a. Suppose 2*g + 14 - 4 = 0. Let q be ((-6)\/8)\/(g\/20). Solve a*y - q = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26193*f**2 - 55689*f?\nAnswer: 52386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*(-75)\/25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350 - -346.93. Let d = -0.07 - w. Sort 0.3, 1, d in decreasing order.\nAnswer: d, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -64, -1687753?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, 49, 256, 545, 916?\n\"Answer: 41*o**2 + 2*o - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((498\/(-3) + -1)*1)\/(-1).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14188779439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-8) - (-4655)\/392. Solve 2*c + c = 4*b + 3, -c - 3*b = s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1689b82 (base 13) in base 16?\nAnswer: -6f7659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 580351054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -475?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -233900 times 0.2\nAnswer: -46780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2 + 2*d**6 - 2*d**2 + 4*d**6 wrt d.\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus -5423?\nAnswer: -5438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1843 = 2*s + v - 554, -2 = 2*v. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 5*m - 719. Let k = -88 + m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - f)*(2 + 2 - 5)*(687 - 314 + 888 - 8).\nAnswer: -3759*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740106 and 5094?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 5, -3, 2, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j**2 + 66*j - 27. Suppose -27*k = -30*k - 4*i + 89, -5*i + 10 = 0. Let g(h) = h**2 + 5*h - 2. Determine k*g(a) - 2*t(a).\nAnswer: 3*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/44 and 125\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*(-4263)\/(-15631).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37186685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:52 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/117 and 51\/1820?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340.26*1.\nAnswer: 340.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 32 - 8. Let t = l - -26. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(1\/7)\/a*a**(-3\/7)\/a*a*a**(5\/6)*a*a**3 assuming a is positive.\nAnswer: a**(191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/90201 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 13*b + 12. Let t be i(-13). Let a be 40\/(-15)*(-27)\/t. Let r(f) = a*f + f**2 - 6*f. Let j(k) = -4*k**2. Calculate j(r(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 2.999.\nAnswer: -11.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.393924 decades?\nAnswer: 0.09393924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (55 + -75 + 36 + -1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 571, 1155, 1757, 2383, 3039, 3731, 4465, 5247?\n\"Answer: y**3 + 3*y**2 + 568*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6186 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: What is the greatest common divisor of 51603 and 2369?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 3*k - 2*k - 2. What are the prime factors of q(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36)\/(7*22\/924).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + ((-20)\/12 - 9))\/((-2)\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 73*d + 314 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3147470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7751\/294 - 173\/49. Let h = -23 + v. Which is the second biggest value? (a) 0.1 (b) 18 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*w**4 + 2*w**3 - 28941*w**2 + 4222461*w wrt w?\nAnswer: -144*w**2 + 12*w - 57882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3. Let x(v) = -v - 3. Let b be x(-5). Suppose a = b*a + 4. Let y(u) = 2*u**3. Give a*z(o) + 9*y(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124451 (base 6) to base 9.\nAnswer: 168574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -1) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33 + -0.03. Let k be (2\/(-6))\/((-16)\/(-6)). Which is the third biggest value? (a) u (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -158, -612, -1362, -2402, -3726, -5328, -7202, -9342?\n\"Answer: a**3 - 154*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285569145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 + 0.12. Let i = -142 - -142.55. Let v = 0.25 - i. What is the nearest to v in -1\/4, 2, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011293 rounded to seven dps?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0952 + -0.0048. Sort 3\/2, 2\/3, -2, z in decreasing order.\nAnswer: 3\/2, 2\/3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13806 is divided by 12692?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: 1210201102110 (base 3) to base 11\nAnswer: 5a5518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.279 - -0.019. Let f = -0.56 - m. Let l = -98.8 - -99. Which is the nearest to -1? (a) f (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -421 - -424. Let h = -792\/7 + 113. What is the biggest value in j, 2, 0, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24445*d**2 + 270*d + 55953370.\nAnswer: -48890*d + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + 8*c - 16. Does 22 divide r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-24 - (2 - 8 - (-11 + (2 - 1))))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -160353096 divided by 376?\nAnswer: -426471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:27 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 304*p**2. Let m(f) be the second derivative of -5*f**3\/6 + 9752*f. Give m(r(n)).\nAnswer: -1520*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -189, -192?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328551797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1232*f + 10756 - 5361 - 5395. Let a(z) = 2*z. What is a(j(d))?\nAnswer: -2464*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 - 17 = -21*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15683 + -1406. What are the prime factors of g?\nAnswer: 3, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 100*i**2 + 67*i - 139. What is the units digit of q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11231000420 (base 5) to base 13\nAnswer: -2845559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 4. What is the lowest common multiple of 6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(11) + -1)**2 + ((1 + sqrt(891))*1)**2 + (sqrt(44) - sqrt(396)\/(sqrt(9)*-1))\/((sqrt(4) + sqrt(144) + sqrt(4))*-2).\nAnswer: -49*sqrt(11)\/8 + 986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 9:41 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5596612487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 259\/14 - 6\/(-4). Let f be ((-40)\/50)\/(38\/z - 2). Solve 2*c - f = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 - 5*x + 7. Let d be o(4). Suppose -d*l + 1886 = -2983. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -296766, -296767, -296768?\n\"Answer: -t - 296765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*s + 153*s - 566 = 50 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 1. Let m be a(-3). Let h be 3626\/(-56) + (30\/m)\/3. Which is bigger: h or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12767430 (base 8) in base 2?\nAnswer: 1010111110111100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267148 + 267715 = 21*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-17)\/(-153)*4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -c + 6*c + 10, 0 = -c - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6205)\/(-550) + (-2)\/11 and 1 - (90\/(-25) - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 255 + -162. Calculate the remainder when v is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (sqrt(44)\/sqrt(4))**2*4 + -1*sqrt(44)).\nAnswer: -10*sqrt(11) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:57 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 8*v**2 - 11*v - 2. Let m be w(3). Let j(p) = 9*p + m*p - 12*p + 20*p. Let d(k) = 4*k. Determine j(d(h)).\nAnswer: 108*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/2 + 7525*o - 135369\/2 = 0?\nAnswer: 9, 15041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 347317*k**2 + 61*k - 9047534 with respect to k.\nAnswer: 694634*k + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 0, -5, -44, -79.\nAnswer: -79, -44, -6, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145\/6 - 2767\/114. Suppose -5*b = -4*r + 5*r + 2, -2*b + 2 = -r. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59969, 60103, 60237, 60371, 60505?\nAnswer: 60639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1037662 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 9*n + 3. Let i(q) = q**3 - 20*q**2 + 38*q - 32. Let w be i(18). Let g(z) = z**2 + 10*z + 4. What is w*c(r) - 3*g(r)?\nAnswer: r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65870 divided by -13174.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-10 + (10 - -12) + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 2*w + 3. Let c(p) = -p**3 + p - 1. Give 3*c(f) + s(f).\nAnswer: -f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.035 + 0.047. Let k = -6.882 + x. Let b = -6.692 - k. What is b rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 10*c**3\/3 + 6*c**2 + 5. Find the second derivative of d(f) wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1433 - 1442) + (-18 - 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2489.7 + 2489. Is a > -524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103189804.\nAnswer: 2, 89, 289859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 6*g + 0*g + 6*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 19*y**2 - 12*y - 251. Let z be u(14). What is the highest common factor of z and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4 - 641736*l**3 + 25721735652*l**2 + 1390377516768*l + 18776414246976 = 0. What is l?\nAnswer: -27, 80244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -625*d**3 - 236055825*d**2 - 75537816*d - 6043024.\nAnswer: -(d + 377689)*(25*d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1259 + -1262. What is the fifth smallest value in -2, 2\/15, 5.1, -0.1, v?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 6. Let i be j(4). Suppose -r = 2*s, -i*r + 8 = r + 2*s. Let h(n) = -n**3 + 3*n**2 + 6*n - 5. Let m be h(r). Solve 0 = o - 2*o + m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u - 26 = 0. Suppose i - 2*k = -8, 0*i = -4*i - k + u. Let r = 2.86 - 4.86. What is the third biggest value in r, i, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -162*o**2 + 15*o + 16. Let m be w(-1). Let j = m - -257. What is the remainder when j is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r. Suppose -3*p = p - 24. Let x(v) = 4*v**2 + 4*v + 2. What is the least common multiple of x(-2) and i(p)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85811 - 3.33.\nAnswer: 85807.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.006686 + 0.193314. Let g = -2 + 2.04. Let n = g + 0.06. Which is the biggest value? (a) 2\/9 (b) -1 (c) n (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {a: 5, b: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5487 = 71808*n - 71985*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*(d\/d**(-1\/2))\/d))**(-4)\/(d**1)**(2\/35) assuming d is positive.\nAnswer: d**(208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.829 + -5.497. What is u rounded to 1 decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32794 - 32598. What is the highest common factor of u and 400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 4*y + 62. Suppose -v = -6*i + i + y, -48 = -4*i - 5*v. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -277*o + 279*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8*z + 4*z = -150, 0 = 5*k - 5*z - 215. Calculate the remainder when k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**3 + j - 1. Let c be 26\/7 - (-4)\/14. Let d = c + 0. Suppose u - 2*u - 3 = d*v, 3*u - 2 = -v. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -263*m**5\/10 + m**4\/2 - 10*m**3\/3 + m**2 + 379. What is the second derivative of l(k) wrt k?\nAnswer: -3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*d - d - 2, 14 = 4*d - 2*i. Let k = 24 + -22. Solve d*c - 3*c + k = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20203 = u, -t + 14*u - 5062 = 10*u. Let f = t + 8597. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1320 and 71885?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387561185?\nAnswer: 5, 11, 113, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/3, -6, 45.4, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1843511*m. Let i(h) = 2*h**2. Give i(n(l)).\nAnswer: 6797065614242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 - -2.7. Sort -0.01, a, -0.2 in decreasing order.\nAnswer: a, -0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.8. Which is bigger: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.4 - 1.43. Let l = o + -4. What is l rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2406*p - 8350. Give z(4).\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 204 + 336. Let y = -47 + d. Let s(v) = 75*v - 63. Let f(t) = -37*t + 31. Let p(a) = y*s(a) - 5*f(a). Differentiate p(c) wrt c.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30404?\nAnswer: 2, 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - (126\/(-15) + -6). Let w = 42 + -25. Solve 5*g + s = -3*f, 5*f = 5*g - w + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/73, -2326, 3\/4 in descending order.\nAnswer: 3\/4, -1\/73, -2326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0242379+-49792589\nAnswer: -49792588.9757621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -35767*n**3 + 0*n + 35776*n**3 + 0*n - 5*n**4 - 2*n**2 + 3 as t*n + v*n**4 + y + c*n**3 + r*n**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3128\/2007 - 36443303\/140490. Let g be (776\/(-60))\/((-2)\/39). Let b = g + x. What is the common denominator of b and 39\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-74)\/(-26)) + 999\/13. Suppose -4*m + 10 = m. Suppose -8 = -m*d + 14. Calculate the highest common divisor of k and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 79852?\nAnswer: 878372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9690981?\nAnswer: 3, 23, 140449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 61. Let s be ((-7)\/(-28) - 3\/f)*4. Suppose s*b - d = 3*b + 82, 0 = d + 5. Calculate the highest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = 51. Let w(r) = r**3 + 11*r**2 - 13*r - 5. Let x be w(-12). Let a = j - x. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1630 and 111246522?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383.999794 + 384. Round i to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3293*u**3 - u**2 + u. Does 103 divide z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -79. Let g = -0.2 + 0.2. What is the smallest value in -5, g, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 - -1.85. Let x = o + -1.7. Let t(g) = g - 10. Let k be t(10). Which is the nearest to -4? (a) x (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28212*i**2*o - 11911*i**2 wrt o.\nAnswer: 28212*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from fffikkiufufeiaufui?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 377286, 2\/7 in descending order.\nAnswer: 377286, 2\/7, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 974*z + 975*z + 684 = 1958*z. Let b = 0.7 + -3.7. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 - 3*f**4 - 6*f**4 + 1 + f**3 in the form b + y*f + m*f**4 + c*f**3 + n*f**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 15*n - 20. Let u be l(14). Let o(i) = i**3 + 5*i**2 - 8*i - 8. Determine o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -68282*s. Let a(x) = 358*x. What is a(b(q))?\nAnswer: -24444956*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65018\/(-1450) - (-45)\/1.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30346201 - 21634388. Let h = y + 51980334.999306. Let x = h - -254. Round x to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 6*l - 3*l - 3 + (-1 + 2 - 3)*(2*l - l + 0*l) - 2*l + 4*l - 7*l in the form k + d*l and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 40, 7, -38?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*i = -60 - 1, 5*g - 70 = -5*i. Suppose -42 + 15 = -g*h. Solve -3*t + 3 = 3*b, -h*t = -2*b - 0*b - 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2631 + 2670. Calculate the greatest common factor of 360 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-16)\/60)\/(2\/9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.32 - -12.4. Let g = u - 0.08. Let w = -5 - g. What is the third smallest value in 2\/15, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m - 4*g - 14, 2*m = g - 10. Let v = 2391 + -2377.87. Let s = 9.13 - v. Which is the second smallest value? (a) s (b) 2 (c) m (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 9*q**2\/2 + 119*q - 25. Let w be v(-13). Solve w*b - 11 = -3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80, 51, -6, -97, -228, -405, -634, -921?\n\"Answer: -w**3 - 8*w**2 + 2*w + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 5. Let k(j) = 3*j - 1. Let m be k(3). Let f(y) = -2*y - 8. Give m*p(v) + 5*f(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 - 1.27. Let w = 1.97 - v. Let i = -7\/12 - -1\/4. Sort i, w, 0.5 in descending order.\nAnswer: w, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.67 + 0.77. What is the nearest to -0.7 in c, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 18*z + 2. Give j(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 38*c + 14. Let f be i(-38). Let x = 6 - 10. Is 5\/(f\/x - -4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -44c?\nAnswer: -44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1701 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/112689?\nAnswer: -8\/112689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**6\/120 - 2*s**5\/15 - s**4\/24 + s**3\/6 - 3*s**2. Let w be h(-8). Let y = w + -6. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60646 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1) + 42\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 438 = -w. Let o = 76 + w. What is the smallest value in 1\/5, 5, o, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -530 in decreasing order.\nAnswer: -1, -3, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0*g**2 + 9 - 2*g - 4 - g**2. What are the prime factors of f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 114, -3, 793 in descending order.\nAnswer: 793, 114, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -2\/38517 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55) - sqrt(220)\/sqrt(4)) + sqrt(55))*4 - sqrt(495)*2)\/(-2*sqrt(125) + sqrt(180) + (sqrt(180) - (-1*sqrt(180) - sqrt(180))))*-1.\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 21*i**3 - 16*i**2 + 27*i + 1. Let y(b) = -5*b**3 - 2*b. Let j(x) = m(x) + 4*y(x). What is j(14)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7107)\/230)\/(48\/32) + 18.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -16*w**2 + 78*w - 24. Let v be y(5). Suppose -3*c - 4*s = 125, 132 = -3*c + 3*s - 0*s. Let q = v - c. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 25*j - 2. What are the prime factors of o(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 4*f**2 + 7*f + 2. Let u be m(5). Suppose 0 = -u*d + 16*d - 1392. Let h = 665 - d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.8 + 6.8. Which is the biggest value? (a) 0.02 (b) 3\/2 (c) j (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 77*c + 333. What is y(72)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489, -495, -501?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331188.3 weeks to microseconds.\nAnswer: 200302683840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 16*a**2 + 15*a + 6. What is the units digit of y(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6*w. Let h be (4 - (w + 0))*(-72 - -71). Sort 2, -5, h, -2\/3.\nAnswer: -5, h, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.5923 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 30, 46, 68, 96?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -4, -5, 5516 in decreasing order.\nAnswer: 5516, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 85*z**2. Let v(a) = -4*a - 18. Let f(k) = k + 4. Let p(x) = 9*f(x) + 2*v(x). Give n(p(r)).\nAnswer: 85*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38004, -38007, -38010, -38013, -38016, -38019?\n\"Answer: -3*o - 38001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.896349749 + -1356.\nAnswer: -1334.103650251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108.0245 - -108. Round y to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16733 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 725 - 719. Let y = 30 + 9. What is the greatest common divisor of w and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, -19, -50, -85, -124, -167?\n\"Answer: -2*u**2 - 21*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4878, -4963, -5046, -5127, -5206, -5283, -5358?\nAnswer: -5431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 5bb69?\nAnswer: 5bb65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 522.3 - 522. What is the nearest to 3 in -4, n, 0, -4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 67, 50, 31, 10, -13?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*j - 1142 = 0, 5*s + 3*j = 8*s - 870. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 11. Let s be 2\/(l\/(-2)) + 58. Let z = s - 49. What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbsdsgbbbwbsdd. What is prob of sequence dwdb?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28668473128 from 0.\nAnswer: -28668473128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12630 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 5, 0, 603 in decreasing order.\nAnswer: 603, 8, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 159 = 2*w - w, 7588 = -y - 3*w + 7430 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 94*n**3 + n**2. Suppose -19 = 3*d - 4*f - 2, -5 = -f. What are the prime factors of b(d)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 0*i**2 + 0 + 2\/5*i**5 - 62\/5*i**4 - 64\/5*i**3.\nAnswer: 2*i**3*(i - 32)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*y + 5*b - 13, y = -2*b + 8. Suppose 5*v = 3*i - 5, -5*i + i + 4*v = -y. Solve i*c = c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79716 is divided by 511.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.069*-0.3791\nAnswer: -0.4052579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, c: 5}. What is prob of picking 1 p and 1 c?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6305414 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 291\/(-21) - 11 - -25. Suppose 3*f + 3*m - 9 = 0, 0 + 1 = 2*f - 3*m. Which is the closest to -14? (a) f (b) l (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -151. Suppose 38*r - m*r = -5. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208474 or 208529?\nAnswer: 208474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhnnwhnnwnnnwwhw. What is prob of picking 3 h and 1 n?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/49 in 0.3, -5\/2, 0.056, -4, 1\/4, 4?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y**7)\/y)\/(y\/(y\/(((y*y\/(y\/y**(1\/2)))\/y)\/y))))\/(y\/((y\/y**(-2\/21))\/y)*y**(-3\/2)))**(-2\/83) assuming y is positive.\nAnswer: y**(-382\/1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.79802 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w**2 - 1 + 1 - 89*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 15. Let m be o(-7). Let j(r) = 4*r**3 - 5*r**2 + r - 5. Let i(n) = -6*n**3 + 8*n**2 - 2*n + 8. Calculate m*j(u) + 5*i(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 912 - 905.2. Round g to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1311, 2584, 3857, 5130, 6403, 7676?\n\"Answer: 1273*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(102)\/sqrt(6))**2*-1 + 4 - (-1 + sqrt(272) + 2)) + 2.\nAnswer: -3*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2229995386?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 150 - 26 - 89 to u*g + r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d. Let x(j) = 3*j. Let r be x(-1). Let f = r - -7. Solve d = f*g + g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 5 - 8 + n)*((-2*n - n + 4*n)*(1 - 1 + 7*n**3) - 4*n**2 + 2*n**4 + 4*n**2).\nAnswer: 9*n**5 + 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 520, -3\/7, 0.3, 0.2 in ascending order.\nAnswer: -3\/7, 0.2, 0.3, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b02023 (base 12) in base 3?\nAnswer: -101202221110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8274273 divided by 5957.\nAnswer: -1389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(7\/3 - 2). Suppose 0*v = -v + 6. Let k be (7\/3)\/(2\/v). Solve -5*a = 2*d + m*d + 35, k = 2*d - 5*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 16*d - 7572*d**3 - 1728*d**3 + 22*d.\nAnswer: -9300*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 + 47599310*u - 113284715623805 = 0. What is u?\nAnswer: 4759931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64972962 bigger than 64972969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165523044 is divided by 1309.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 17*h**2 - 12*h + 50. What is k(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - (90 - (-16 + 104))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280\/87 - 26137\/8004. Which is bigger: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -11, -19, -41, -83, -151?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -37. Let i = -34 + f. Let a = i - -15.056. Round a to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/8))**(1\/3) assuming y is positive.\nAnswer: y**(-5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 15\/8 (c) -53129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g - 76. Let a be c(-18). Sort -4, a, -2 in descending order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 9*b**2 - 7*b - 11. Let f be (-8)\/(-40)*10 - -1. Suppose 0 = f*z + d - 23, d + 32 = 4*z - 1. Give h(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/21)*x**(-2\/9) assuming x is positive.\nAnswer: x**(-20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -943080 divided by 314360\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/10)*x*x**(-1\/4)*x*x**(-8)*x\/x**(-7\/4))**(-10) assuming x is positive.\nAnswer: x**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -y + 6*y. Let n(q) = q**2 + 4*q - 10. Suppose 0 = -x - 2*x + 6, 2*g + 4*x + 4 = 0. Let z be n(g). Put z, -5, y in increasing order.\nAnswer: -5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3 - 940234*o**2 - 110506407182*o - 331510759494 = 0?\nAnswer: -235057, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4368277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-3)*((-132)\/(-30) + -2). Solve g = -30*q + 26*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2 and 0.06?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1813811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 53*g**2 + 26*g + 32. Suppose -260*y + 255*y = -l + 132, 0 = -y + 3*l - 32. What is u(y)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 127. Let f be (-29)\/n - (-3)\/(-9)*3. Are f and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33.94 + -34. Put 0, -5, b, 5 in ascending order.\nAnswer: -5, b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + -11 + (7 - 3). What are the prime factors of (208\/a)\/(7 + 1062\/(-150))?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279 + -1949\/7. Let a(f) be the first derivative of l*f**2 + 2\/21*f**3 - 2 + 8\/7*f. Solve a(c) = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/44*(-1)\/1. Let k = -100 - -199\/2. What is the second biggest value in 1\/7, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914220 to the power of 1\/2, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 585917655.7 rounded to the nearest 10000?\nAnswer: 585920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 590*n - 8928.\nAnswer: -2*(n - 279)*(n - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3538939 is divided by 695?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3)*40\/4. Suppose 15*t = s*t - 3040. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z + 46*z - 135*z + 37*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-6\/5))**4)**(-39))**(-3\/8) assuming h is positive.\nAnswer: h**(-351\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 5*q - 4. Give v(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -15, -4*y = -8*y - 4*j + 1100. Let i = 281 - y. Let r(m) = m**3 - 10*m**2 + 10*m - 4. Let d be r(9). Solve q + i = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1473 - 1697 = -112*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 8 - 17*p**2 + 3*p**2 + 9*p**2 to the form t*p**2 + v + y*p and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3769.872 - -4408.9004. Let s = y - 639. Round s to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0195, -2, -48?\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - ((sqrt(117)*-3*-5 - sqrt(117)) + sqrt(117))) + sqrt(117))\/((sqrt(189)\/sqrt(3) + sqrt(63))\/sqrt(7)).\nAnswer: -13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 69?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1656120 divided by 552040\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -132*k + 11070. Determine a(89).\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14074*-0.1.\nAnswer: 1407.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7401 a factor of 4067811630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 1 e when three letters picked without replacement from {m: 2, c: 2, x: 1, f: 3, o: 4, e: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/36 - 0) + 1\/4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -10 - (2 + -1 + -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 367b?\nAnswer: 3681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1022)\/21)\/(2\/(-3)). Let a = 141 - c. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 17964*f**2 + 17964*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 334 = -4*s, 125 = 3*h - 5*s - 68. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) 2 (c) -1\/3 (d) 0.370062 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -282002 - 380\nAnswer: -282382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {y: 2, t: 1, q: 4, w: 4, f: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(68) + 0 + sqrt(68) + -4)**2 + -2.\nAnswer: -16*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -13*m**7\/84 - 5*m**4\/24 + 43*m**3\/3 - 2*m**2 - 78*m. Let v(b) be the first derivative of y(b). Differentiate v(g) wrt g.\nAnswer: -390*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 2*u**3 + 2*u**3)*(-2*u**2 + 3*u**2 + u**2) - u**2 + 5*u**2 - 3*u**2 - 2*u**5.\nAnswer: -4*u**5 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 4*n - 1. Let t be q(-4). What is the remainder when t + -2 + 0 + 41 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902844000 rounded to the nearest 1000000?\nAnswer: 903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 11. Let b(h) = -8*h - 20. Let a(v) = 3*b(v) - 5*d(v). What is a(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 1. Let q be a(0). What is the greatest common factor of q and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - 3.04. Let o = 6.9 - 86.3. Let u = o - -79. Which is the second smallest value? (a) 4 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((20 - 41) + 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 3\/5, -1\/2, -24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 59*v + 444. Calculate p(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109350 and 6561.\nAnswer: 328050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 745?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 976*f**2 + 24*f - 120. Let u be b(-29). Round u to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-21 - 1) - ((1 - -1) + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 - 15)*(-4*t + 4*t + 2*t) + 29*t - 1 - 28*t + 2.\nAnswer: -51*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oood when four letters picked without replacement from oooooodooooo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3, 32, 5, 7, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2598 at most -1614166\/621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 64 - 63 = 4*d, -4*r - 10 = -5*d + 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/5*50\/15. Let u be (y\/10)\/(3\/(-5)). Solve -2\/3*c - 8\/3*c**4 - 2*c**5 + 4*c**2 + u*c**3 - 4\/3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 3:21 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347 divided by -1.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 3. Let x be m(0). Let s(l) = l + 7. Let f be s(x). Solve 0*h - 20 = -f*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 30*w + 36. Let c be v(24). Let m = c + 141. Let p be (2\/(-3))\/(-1)*33. What is the greatest common factor of p and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626036 is divided by 564.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d - 2*m, 3*d - 4*m + 1 = 9. Let u be 1 - (-4)\/d - -5. Solve -u*z - 5 = 2*t, -4*z + 5*t = -z + 34 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/558250 and 31\/4235?\nAnswer: 6140750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 3, -2369\/6, -0.4, 3\/8, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 8. Let n be v(-4). Suppose -p = -n*p - 92. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 + (-1 - 0). Suppose 3*a + i*p + 6 = 0, 12 = 2*a - 4*p - 0*p. Which is smaller: -4\/7 or a?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:41 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 540700*y**2 - 304219?\nAnswer: 1081400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 53. Let u = q + 21. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*r = l + 25, 2*l + 2*r + 10 = 0. Suppose l = -0*c - 5*c + 50. Let k = c + -9. Solve -f - k = -t, 3*t + 2*f = -11 - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 9:52 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/(h*h**(-11)))**(-2\/7)\/(h**(-2\/11)\/(h\/h**(-2))*h**(-5)*h**2*h*h) assuming h is positive.\nAnswer: h**(-118\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 + 307 - 14*k - 616.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, h: 2, z: 4, r: 3}. What is prob of picking 2 h and 2 z?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21 = -49. Let s(n) = n**3 + 13*n**2 - 16*n - 12. What is the tens digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m - 2. Let y be d(2). Suppose 5*n + 2*q - 275 - 300 = 0, 0 = -y*q + 20. What are the prime factors of n?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25540 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 36*y - 71*y)*(-3 + 3 - 3) + 13*y + 4*y + 0*y as m + b*y and give b.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -159. Let k = 49 + -94. Let v = k + d. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u = 293 - 59. Calculate the lowest common multiple of u and ((-2)\/2)\/((-3)\/324).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 (base 8) to base 3\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.03723 litres in millilitres?\nAnswer: 20037.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 10) + 4 + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 55 (c) 2632\/23 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2301 (base 5) to base 13\nAnswer: 1c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + n. Let x be z(-1). Let v = 5 - x. Suppose -5*d - f + 15 = 0, -d - 3*d = 4*f + v. Put d, -1, 1 in increasing order.\nAnswer: -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**8\/336 + l**4 - 5*l**2. What is the second derivative of v(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34029975*a**3 - a + 787302.\nAnswer: 204179850*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - -1911\nAnswer: 1910.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*l + 8, l + 6 = 4*l + 2*h. Suppose 5*g = 2*q - 0*g - 50, g = l*q - 42. Solve -5*k = 4*r + q, 0 = -3*r - 2*k - 5 - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x - 4. Let l be 21\/49 - 2\/(42\/(-117)). Determine b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqnnqqqqqqqq. Give prob of sequence nqn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 0.15.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -87466 divided by 11\nAnswer: -87466\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053829 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2162411590 to the nearest one hundred thousand.\nAnswer: -2162400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112484286370 + 112484286323.484537589. Let r = z + 0.515452311. Let j = -46 - r. What is j rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = 3*r, -2*o = -2*r - 0*r - 8. Which is the third biggest value? (a) r (b) 10 (c) -3\/8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76\/((-5)\/(445\/2)). Let r be ((-57)\/456)\/((-4)\/649160*-6). Let n = o - r. Calculate the common denominator of -43\/40 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 112.486. Which is smaller: 0.4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120950 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282, -513, -744, -975?\n\"Answer: -231*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let x(q) = -3*q. Let j = 41 + -40. Let h(a) = 14*a - 8*a - 4*a. Let i(g) = j*x(g) + 3*h(g). What is i(o(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*b - 93*b - 340*b as s + o*b and give o.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37.1 + 0.9. Let p = c - 38.5. Sort 0.5, p, -4, -0.1 in increasing order.\nAnswer: -4, p, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -197 (b) 2\/939 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 1275 = -10*y. Let o(p) = -p**3 - 4*p - 6. Let z be o(4). Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 71*((-2)\/(-21) + (-138)\/126). Let i = 64 + -154. Let j = b - i. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29072*k**5 + 14269*k**2 wrt k?\nAnswer: -1744320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(2\/9)*(l*l**(-6)\/l*l)\/l*l*l)\/(l*l**1)**(1\/4)*(l\/l**(2\/3))**44*((l\/((l**(-2\/3)*l*l)\/l*l))\/l)**45 assuming l is positive.\nAnswer: l**(-839\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/(-12) - (-45)\/(-5). Let x = -29 + 24. What is the third biggest value in x, a, -13, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -1\/10, 1, 19?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/2 of a hour?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h + 5*z - 15 = 0, -5*h = 2*z. Suppose -w + 2*b + 41 = 0, 5*b - 203 = -0*w - 4*w. Let g = 47 - w. Sort h, -3, g in decreasing order.\nAnswer: g, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 - 2892*p**3 - 2*p**2*q - 98*p**2 + 108453*p*q + 4*p + 5*q + 1 wrt p?\nAnswer: -12*p**2 - 17352*p - 4*q - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 52*s = 25*s + 480. Solve -5*g - 21*p + s = -20*p, -2*g + 28 = -5*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -317563, -1, 4 in increasing order.\nAnswer: -317563, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.716 to one decimal place.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339*p + 106*p - 372*p)*(p + 3 - 3) - 2*p**2 + 3*p - 3*p.\nAnswer: -607*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*g = -0*i, -4*i - 2*g = 0. Let s be 1\/(-1)*i\/(-1). Suppose -15*z + 18*z - 198 = s. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12340*k**3*s - 8348*k**2 + 4*s wrt k?\nAnswer: -74040*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w - 8*w + 530*w**2 - 6*w - 3*w + 26*w in the form d*w + h*w**2 + l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-127) - (-1 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in 13, -7, 3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*n**3 - 13 - 14 + 5*n**2 + 25 + 14*n**3 in the form q*n + r*n**2 + j*n**3 + u and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let j(y) = -y**2. Let w(o) = -9782951*o**2. Determine j(w(r)).\nAnswer: -95706130268401*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -4?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 2, w: 2}. What is prob of picking 2 w and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**3 - 23*r**2 + 11*r. Let m(t) = 3*t**3 - 8*t**2 + 4*t. Suppose -2*h - 9 - 11 = -k, -2*h - 3*k = 28. What is h*m(z) + 4*l(z)?\nAnswer: -z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6.899799 * 0.1\nAnswer: 0.6899799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 0.03, -2\/3, 3\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 16*l**2 + 23*l - 2. Let i(y) = -3*y**3 + 63*y**2 + 93*y - 9. Let j(d) = -2*i(d) + 9*z(d). Suppose j(s) = 0. What is s?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3413 = -51*i + 3362 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 4, n: 1, y: 1, i: 1, q: 5}. What is prob of sequence sys?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122643*c**3*u**2 - 7*c**3*u - 3*c**2 - c*u**3 - 1074*c*u - 3*c - 4*u**4 - u wrt u.\nAnswer: 245286*c**3 - 6*c*u - 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2*y + 5*y = -5*y - 35 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*z - 138*z + 185796 = -1136*z + 63*z for z.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -13. Let w = m - 22. Solve -5*b + w + 10 = -f, -8 = -2*b + 3*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -271*g**2. Let l(b) = -8561*b. What is l(h(s))?\nAnswer: 2320031*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/3 + 46*q**3\/3 + 84*q**2 + 353*q. Let v(d) = 0. Calculate d.\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -3\/5, 0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -2 (c) -1 (d) -0.5 (e) -579\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39501, 157962, 355397, 631806, 987189, 1421546, 1934877?\n\"Answer: 39487*s**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + 44542?\nAnswer: 45041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 5*n**2 + 4*n - 1. Let y(i) = i**3 - i - i**2 - 3131 + 3131. What is r(v) + 5*y(v)?\nAnswer: 3*v**3 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4254 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 - -144. Solve -u + 4*u - 2*i + 23 = 0, 0 = -c*i + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 337674 and 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -39040 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtt when three letters picked without replacement from {j: 4, t: 3, f: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 8*l + 3. Give b(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 2*o - 2. Suppose 0 = -q - 2*k - 1, 2*k + 5 = 3*q - 0*k. Let l(n) = 9*n - 1. Calculate the lowest common multiple of l(q) and a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4527628 a multiple of 1601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118042.\nAnswer: 2, 59021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41185.59 - 41064. What is u rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, 7\/4, -5\/3, 1\/4, 2\/7, 3.\nAnswer: -301, -5\/3, 1\/4, 2\/7, 7\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 + -5 + -2 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-7))\/(2\/(-14)). Let x(d) = 36*d. Let v be x(m). What is the remainder when 43 is divided by 2\/9 - (-776)\/v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a second in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*g - 5. Let w = 0 + g. What is the units digit of ((-16)\/10)\/(1\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135022 - -144400?\nAnswer: 5334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21767602.\nAnswer: 2, 241, 45161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 59 + 67 = -76. Solve 7 = -7*l + p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34a01 (base 12) to base 7.\nAnswer: 412501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -45*h**4\/2 + 81*h**2 + 4*h - 25. What is the first derivative of s(b) wrt b?\nAnswer: -540*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.528 - -45.\nAnswer: 45.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and -0.04.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35949092321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 121011.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - 110. Suppose -r + 14 = 4*p, x*p - r - 18 = -p. Solve p*u + 2 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 63\/21355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + 0*l + 4*l)*(-17 - 25 + 1) - 4 - l + 4)*(-4 + 2 + 0)*(0 - 4 + 1 + (1 + 2 - 2)*(-4 + 3 - 1) - 2 - 3 + 4).\nAnswer: -1488*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 = 3*i, 6 + 0 = -2*f. Solve 16 = -2*m + 4*h, -h - 16 = 5*m - i*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 9*c**2 + 5*c - 15. Give h(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(4*v - 2*v + 2*v)*(-2 - 30*v + 25*v + 102*v).\nAnswer: 388*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*a**2 + a**3 - 355*a**2 - 2 - 657*a**2 + 4 - 1 as z*a**3 + n*a**2 + l*a + c and give n.\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -103. Suppose 3*j + 19 = f, -2*f - j + 10 = -h*j. Find the common denominator of -51\/38 and 45\/(-18)*f\/(-4).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -464 = 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/6 + 4)*58. Suppose 2*p - 39 = o. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -861866, -861836, -861780, -861686, -861542, -861336, -861056, -860690?\n\"Answer: 2*y**3 + y**2 + 13*y - 861882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/2 + 207*g**2 - 137131*g\/2 + 203820 = 0 for g.\nAnswer: -632, 3, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -16.6. Round n to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 298. Let w be v(-49). Solve 0 = 11*s + 23*s + w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, 126.\nAnswer: -1\/2, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**6\/360 + c**5\/60 - c**4\/24 + c**3\/3 + 2. Let g(z) be the third derivative of y(z). Let p be g(1). Is 1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*r + 10*r = -5519 + 899 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.00586\nAnswer: 0.02344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*w + 12145 = 176*w. Solve 3*j = -2*m - 23, -5*m - 52*j - w = -49*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 45 = -0. Let m(y) be the third derivative of -y**5\/60 + y**4\/24 + 2*y**2. Let t(x) = -3*x**2 + 5*x. What is q*m(o) - t(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*u**3*z**4 + 4085*u**3*z + 3*u**2*z**2 - 2*u**2 - 83*z**4 wrt z.\nAnswer: -2376*u**3*z - 1992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*k - 21 - 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 - 14*j + j in the form g + a*j and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4a8708 (base 12) to base 14\nAnswer: 2399c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 4*n - 2. Let k be g(-3). Let a be k\/(-20) + 26\/10. Suppose -a*h - 2*h = -3*l + 125, -h - 48 = 4*l. Do -27 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-6))\/(2\/(-6)). Solve 0 = 4*q - 20, 5*u + q + 0*q - x = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 4 + 4)*(2*m**3 + 174218*m**2 - 174017*m**2 - 13*m**3) as j*m + u + d*m**4 + w*m**2 + z*m**3 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + 15\/(-5)*2)*5. Solve -2*c + y = t, -72*c - 5*t + 14 = -73*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*g = -60, -3*n + 2*g = -g - 45. Suppose -2*k = -4*a - n, 5*k + 9 - 34 = 5*a. Solve 4*r + 0 + 4 = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 8. Let d(p) = 5*p + 9. Let u(v) = -5*d(v) - 6*k(v). Let o(w) = -w + 6. Let y be o(5). Suppose -y = 2*t + 5. Give u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**8\/10080 - i**7\/2520 + i**6\/720 + 7*i**5\/30 + 17*i**2. Let b(r) be the third derivative of p(r). Calculate b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5666, -13842, -24518, -37694?\nAnswer: -53370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9632, 19151, 28670, 38189, 47708?\nAnswer: 57227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1228813377 + 3?\nAnswer: 1228813381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -10a2b5?\nAnswer: 10a2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1399223, 1399186, 1399125, 1399040, 1398931, 1398798?\n\"Answer: -12*k**2 - k + 1399236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1053 + 13681\/13. Calculate the common denominator of r and 91\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-8 - 49\/(-14)))*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/21*(9 - 8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 117.\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 - (-430)\/336 - 3684\/6447.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -128. Suppose s + 5 = n, 0 = -5*n - 3*s - 4 + x. Let k be ((-1)\/n)\/((-1)\/2). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6.5. Let y = -6333 - -6335.961. Let h = y - -0.039. What is the third smallest value in -2, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4 - 874\/276?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35189.\nAnswer: 7, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2140)\/(-25)*((-30 - 4321\/(-116)) + -6)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*a**3 - 200*a**3 + 118*a**3.\nAnswer: 43*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 26 = -2*w + 11*r, 4*r = 4*w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*q - 12, p = q - 4*p + 15. Suppose q*s = -5*s + 120. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4028 + -1369. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = 2*f. What is the remainder when 49 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 278*p**2 + 4399*p + 65. Calculate f(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 48\/5 of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0) + -1 + 0. Let c = 0 - f. Find the second derivative of 4*j + 2*j**2 - c*j + 0*j wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, -16, -78, -172, -304?\n\"Answer: -w**3 - 7*w**2 - 8*w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_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: Let n be (-8)\/14 + 1 - (-200)\/56. Suppose 2*t = 2*z - t - n, -t = 0. Let x = -17 + 19. Solve z*q = -b - x*b, -3*b + 4*q - 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/11 (c) -1\/5 (d) 3 (e) -6\/11 (f) 2731\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 425 = -5*m + m, -i + 85 = -3*m. Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 24864?\nAnswer: 248640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 9 - 18. Suppose 2*i + 0*g - 2*g = 108, 0 = -4*i - 2*g + 246. Suppose -w = -0*w - 2*n - 12, -s*n = 4*w - i. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492 (base 10) to base 12\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 63*y + 164. Determine x(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020311021 (base 4) in base 3?\nAnswer: 2112102120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s + 36. Let o(d) = -5*d + 27. Let j(q) = 4*o(q) - 3*r(q). Let m(a) = 170*a**2 - 11*a + 1. Give j(m(p)).\nAnswer: 170*p**2 - 11*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*1 + (6 + 7 - 5). Suppose 115 = 3*m + k*j, 4*m - j - 110 = j. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*b**3 + 10*a**3*b**2 - 4*a**2*b**2*i - 10*b**4 - 2*b**3*i**2 - b**2*i**2 + b*i**2 wrt b?\nAnswer: 12*a**3 - 240*b - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18860 divided by 41.\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8 + (-585)\/(-120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57218198?\nAnswer: 2, 2677, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17518 + -0.07518. Let v(s) = s**3 - s**2 + s - 3. Let y be v(0). Which is the third smallest value? (a) y (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/13760796 and -37\/19494461?\nAnswer: 233933532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 185480 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 238 = 0, -u + 8 = -2*x + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 3*f - 1. Let r be w(0). Which is the nearest to r? (a) -0.2 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b9 (base 14) to base 12.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2950546 divided by -1475273\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*7*195\/(-105)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**3 - 44*p**3 - 12*p**2 + 17*p**3 + 70 + 18*p**3 + 32*p**2 - 95*p.\nAnswer: 5*(p - 2)*(p - 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 1. Let u(l) = -11*l - 1. Let j(t) = 4*u(t) + 7*w(t). Let q be 58\/(-10) + 4\/(-20). Calculate j(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/6 + n**2\/2 - 13*n. Let w(v) = -3*v - 2. What is -13*k(h) - 6*w(h)?\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -120c - -f?\nAnswer: -11fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 6*d**2 + 3*d - 14. Determine x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3964 and 12080.\nAnswer: 11971280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uooomoooooooo. Give prob of picking 1 m and 2 o.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) + 1 + -5 - (sqrt(102)\/sqrt(2))\/sqrt(3))*6)**2 + 5.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x. Let v(t) = -t**2 + 283*t + 2. Determine v(f(i)).\nAnswer: -25*i**2 + 1415*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1949, 0.2, -3, -0.056, 10\/13 in increasing order.\nAnswer: -3, -0.056, 0.2, 10\/13, 1949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, v: 1, h: 12}. Give prob of sequence vhu.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464 (base 15) in base 2?\nAnswer: 100010111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/4 (b) -38 (c) -2\/15 (d) -18 (e) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*u. Suppose 3*n = -u*n. What is the remainder when (-2 - n)*(-7 - 3) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4572 - -4578. Suppose 0 = -f - 0*f + 4. Solve f = -2*w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 at most -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwjww. What is prob of picking 1 p and 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**3 - 46*t**2 - 15*t - 8. Is 8 a factor of s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05852 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + x = -53, -3*o + 7*x - 12*x + 43 = 0. Solve o*q - 30 = 17*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*n + 50 = 0, 5*n - 277 = 6*d - 277 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1317, 2637, 3959, 5283, 6609, 7937?\nAnswer: 9267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -16*o + 928. What is the highest common factor of 232 and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -11) + 2 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78, -23, 18, 45?\n\"Answer: -7*y**2 + 76*y - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-306)\/(-408))\/((-8)\/(320\/(-110)))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.211 times 18\nAnswer: 39.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 less than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4224 = -5*l - 17*l. Let g = 200 - l. Solve 11*s - g*s = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 43707 and 43700 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 640777840 divided by 4?\nAnswer: 160194460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p - p + 3*p)*(8 - 2 + 1) - 2*p + 0*p + p)*(-30 + 13*p**2 + 30).\nAnswer: 78*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {h: 12, e: 3, m: 3}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = l - 5*k, 0 = 2*l + k - 8. What is the remainder when 12\/(-18)*4*-33 + l is divided by 11\/(-44) - 375\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + 17050?\nAnswer: 17033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1939857200 rounded to the nearest 1000000?\nAnswer: -1940000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7027962.\nAnswer: 2, 3, 59, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 337720*s**3 - 28528555408*s**2 - 2508551738880*s - 55173757833216.\nAnswer: -(s + 44)**2*(s + 168816)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -55 (c) -1\/6 (d) 1 (e) -3 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (233\/(-1398))\/((-10)\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 - 6*t**3 + 5*t**3 - 2*t**3 - t**3 + (-t + 1 - 1)*(27*t**2 - 47*t**2 + 28*t**2) + 6*t**3 - t**3 - 4*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + -1*(sqrt(130)\/(sqrt(10) + sqrt(490)*2) - (sqrt(130) - 4*(sqrt(130)*-2 - sqrt(130)))\/sqrt(10)))**2.\nAnswer: 489268\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 783 and 2016138.\nAnswer: 18145242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(648)\/sqrt(6)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 128825917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*w + 471*w = -1008 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1282.\nAnswer: 10256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a91 (base 15) in base 7?\nAnswer: 423406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o + 0 + 0*o**2 + 1\/6*o**4 - 22*o**3.\nAnswer: o**3*(o - 132)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13707 + -9207. Calculate the highest common divisor of k and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1203 - -10?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2210, 4429, 6648, 8867, 11086, 13305?\n\"Answer: 2219*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/5 - 14*n\/5 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133101 + -3121?\nAnswer: 123320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8652.989 - 8653. Sort -3, c, -2\/5, -8 in ascending order.\nAnswer: -8, -3, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 - 18 = 0. Suppose -27 = -m*c + 3*f, -11 = -4*c + 2*c - f. Calculate the remainder when (-2)\/3 - (-262)\/c is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (64\/96 + 2*1)*(-6)\/(-8). Calculate the greatest common factor of 1238 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100001 (base 2) in base 15?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n - 110. Let o(m) = -m**3 + 11*m**2 + 142*m - 77. Let k be o(-8). Let p(i) = 2*i - 37. Calculate k*s(y) - 8*p(y).\nAnswer: 2*y - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/7 - 226\/105. Let u = -2208 + 2207. Put u, q, 1\/5 in decreasing order.\nAnswer: 1\/5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Solve u - 4*w = 0, -6 = j*u - 5*w + 3*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*b = -4*g + 393, 636 = 5*g - 2*b. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) + (-2)\/24. Let v = -11 - -8. What is the nearest to 2\/9 in v, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4335.323 + 4331. Let h = -31.297 + x. Round h to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(108))*-3 - ((-1*sqrt(108))**2 + -4) - -4*(4 + sqrt(108)*-1)**2.\nAnswer: -210*sqrt(3) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = h - 4*a, -2*a + 3 = -2*h - a. Suppose g - h = 1. Suppose -2*o = -4*v, -g*o + o = 5*v - 28. Solve -2*f - o = -6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/4 - v**3\/2 + 3*v + 4. Let s(z) be the first derivative of m(z). Find r such that s(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 322924501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, u: 4}. Give prob of sequence umu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -25481 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 618339 + 0.139.\nAnswer: 618339.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 25*d - 30*d + 20, 0 = -3*d - 3*g + 30. Which is the second smallest value? (a) d (b) 0.52 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -4 (c) -0.08 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5092666040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920344?\nAnswer: 2, 29, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3126)\/(-14067))\/(2202\/54).\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.569 + -5.9522013?\nAnswer: -8.5212013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(2*s**2 - 2*s**2 + 3*s**2)*(41 - 20*s**2 - 38 + 2*s**2).\nAnswer: -108*s**4 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**38*l**(1\/4)*l assuming l is positive.\nAnswer: l**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:15 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 5 (b) 0.3 (c) 1\/87 (d) 10 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 9:32 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -28, -72, -136, -220, -324?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 8 + -3 + 2. Let b(d) = d**2 - 5*d + 1. What is the units digit of b(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:20 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-449 - 51974*l - 16 + 51965*l)*(l + l + 0*l) to the form c*l**2 + v + j*l and give j.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 62*w - 2 + 2.\nAnswer: 62*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 4, 12, 2, -4 in descending order.\nAnswer: 12, 4, 2, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1166*z**2. Let m(d) = -5727*d**2 + 2866*d**2 + 2859*d**2. Determine b(m(n)).\nAnswer: -4664*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((34336\/(-96))\/(-37))\/((-4)\/12).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) + 34\/(-6) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d - 4. Let c be y(-6). List the prime factors of (-1 + c)*(-6)\/10.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116434 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: What is -6 - (-6 - 0) - (0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 165318\/(-45) + 18\/(-27). Let a = 159314\/35 + l. Let n = 884 - a. Find the common denominator of 21\/8 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4 + 6*a - 2 + 0 - a**2 - 4*a. Let s be (-525)\/(-147) + 12\/(-21). Give i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 129 + 41 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -154 (b) -4\/3 (c) 0.5 (d) -30 (e) -27 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1705, 13628, 45979, 108970, 212813, 367720, 583903, 871574?\n\"Answer: 1702*a**3 + 2*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*c + 25, -4*i + 26 = c + c. What is the smallest common multiple of i and (-8)\/(-6)*3\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6746*l + 23187 = -64511 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**6\/40 + f**5\/20 + f**4\/4 - 3*f**3\/2 + 7*f**2 + 7*f. What are the prime factors of d(5)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 927, 4.5, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23199107.\nAnswer: 53, 437719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369711?\nAnswer: 3, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**5 + 16*f**5 + 14*f**5 + (-f**2 - 2*f**2 + 2*f**2)*(-1 + 1 + f**3) + (-f**2 - 5*f**2 + f**2)*(0*f**3 - f**3 + 2*f**3).\nAnswer: 20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 + 8 = 2*b, 4*w = -3*b + 17. Let p(f) = -f**2 + 2*f - 1. Let x be p(2). Let s be (-2 + 1)*3\/x. Solve -2*a + s*a = -b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/9*-7*-7*27\/441?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1942 + 1909.48. Let r = k - -33. What is r rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 1\/19, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33975251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -226025 divided by 226025?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5)*3) + sqrt(28)\/sqrt(4) + 1)**2.\nAnswer: 8*sqrt(7)\/3 + 121\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 814104, 814043, 813982, 813921, 813860?\n\"Answer: -61*p + 814165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.3, -88\/19, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -144 - 140 + 283. Let y(s) = -3*s**2 + 12*s - 6. Let b(a) = -6*x(a) + y(a). Factor b(m).\nAnswer: -3*m*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 12*n - n. Suppose -19 = 3*p + n*f + f, -5*f - 35 = -5*p. Factor 4*r - 481 + 2*r**3 - 6*r**p + 481.\nAnswer: 2*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/9 - 7205*i**4\/3 - 216250*i**3\/9.\nAnswer: i**3*(i - 21625)*(i + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42.3 and -3?\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3, -2\/3 in increasing order.\nAnswer: -2\/3, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134184 and 17464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 329753 to the power of 1\/2, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35010 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-22)\/(-110))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*g**3 + 4 - 23*g**2 + 14*g - 15*g**3 + 11*g**2 - 12*g**3 - 2 to the form r*g + p*g**2 + d + w*g**3 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 18*z**2 + 16*z - 38. Determine v(-19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**3 - f**2 - 2*f + 4. Let y(u) = -u**3 + u**2. Let p(j) = k(j) - 4*y(j). What is p(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 9*t + 87941 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106666891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51496279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Suppose -4*b - j*q - 44004 = 0, 2*b + 21995 = 2*q + 3*q. What is b rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**6)\/(s*s*s**4\/s)*(s\/(s*(s\/((s*s\/s**(-4\/3)*s*s)\/s))\/s)*s)**20 assuming s is positive.\nAnswer: s**(290\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64000*h + 1953*h**2 - 32000*h - 32000*h to f*h + j + z*h**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m + 1. What is w(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -303*g**3 + 604*g**2 - 299*g - 2 = 0.\nAnswer: -2\/303, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 - 8*m + 10. Let d be k(7). Suppose -r = -d*w - 0*w - 4, 5*r - 4*w = 20. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*n**2 + 219*n wrt n?\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 + 256. What is the remainder when v is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/7 + 46\/21. What is the closest to 20 in 5, 2\/3, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 180. Does 6 divide w(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnnltno. Give prob of sequence nlft.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 186720?\nAnswer: 1680480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 674*o - 2356 = 11248 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -423 - 69. Suppose 5*t - 30 = -5. What is the smallest common multiple of 2\/(-11) + g\/(-44) and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/598 and -7\/6687096.\nAnswer: 153803208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717462.1 nanometers to centimeters.\nAnswer: 0.07174621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 20*n - 55. Let w be o(3). Suppose 4*g + 51 = w*b, g = 6*b - 2*b - 43. Solve -2*l - 7 = -b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3962 or 21918?\nAnswer: 3962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-6 - -4 - -2)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 800383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) 3.3 (c) -1759 (d) -14 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by -9?\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*w = 217*w + 113*w - 247 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 11. Let r be s(3). What is the greatest common factor of r and 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6.4. Let y = -4 + 7. Which is the closest to -2? (a) -3 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13784, -15 in ascending order.\nAnswer: -15, 4, 13784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -361\/7 - -52. What is the nearest to 0 in -2, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-70))\/(1\/(-63)). What is the greatest common factor of 90 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011000 (base 2) in base 9?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**5\/10 + 5*s**4\/12 - s**3\/3 + 3*s + 2. Let v(o) be the first derivative of u(o). Factor v(i).\nAnswer: -i*(i - 2)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274\/105 - 38\/21. What is the nearest to 0.7 in i, 3, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-47))**1*(o**3\/((o*o*o**(-7\/2))\/o))\/(o**(-6)*o*o**(-2\/13)\/o*o) assuming o is positive.\nAnswer: o**(277\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.942314nm to centimeters.\nAnswer: 0.0000003942314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 11*m**2 - 28*m + 3. Let k be n(7). Which is the nearest to 1? (a) 1\/4 (b) 43 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.3 - 1.3. Which is the nearest to 0.04? (a) 1\/10 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1082*y. Let l(w) be the third derivative of w**4\/12 - 15*w**2 - 78. Calculate l(u(q)).\nAnswer: 2164*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = z + 1239 - 1220, 4*z = 31*q + 139 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5749.1 less than 3266970?\nAnswer: 3272719.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -25. Let m = c + -7. Solve 2*s + m = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*u**2 - 204\/7*u + 0.\nAnswer: -2*u*(u + 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -4*y + g, -76 - 98 = -4*y + 2*g. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208\/1335 + -2\/89. Sort 1, -2, 4, c in decreasing order.\nAnswer: 4, 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose -w*k - 34 = 2*b, 2*b - 12 - 10 = 4*k. Let a = 1 - k. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -491\/6 - -82. Let u(l) be the second derivative of 0 + 0*l**2 - 2\/3*l**3 - 2*l - h*l**4. Determine i, given that u(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*t + 2*m, -5*t = m + m + 86. Let y(g) = g**2 + 9*g + 61. What is the tens digit of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.62 + -17.3. Let v = -1.63 - g. Let o = v - 0.05. Which is the nearest to -0.1? (a) 2\/7 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 7*t - 279. What is the remainder when 40 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2 + 2*t - 2. Let g(k) = k**2 + k - 1. Give 6*g(z) - 3*j(z).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 2*p - 784. Let h = 84 - p. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 12:14 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -58, -125, -218, -337, -482?\n\"Answer: -13*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -11*c + 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -13\/8*z**4 + 0*z**3 + 0 + 0*z - 156*z**2. Let x(b) = 2*b**2. Calculate g(x(t)).\nAnswer: -78*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-2))\/((-5)\/(-80)) - 2. Let g = 40 + z. What is the units digit of 5\/g*338\/(-65)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/440 and 87\/3800.\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -157*o + 527. Let k be q(3). What is the biggest value in -4\/3, -1\/4, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(2*sqrt(10)*5) - (sqrt(4032) + sqrt(4032)*1)**2.\nAnswer: -16128 + sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 14 + 82 = 0. Put 5, 49, a in decreasing order.\nAnswer: 49, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 - 16 - 2*l + 8*l + 11*l + 15 in the form w + x*l**2 + z*l and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2539.98 milliseconds in hours?\nAnswer: 0.00070555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12078 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6504 - -8220. Is 1718 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -1. Suppose 4*s - 32 = -4*s. Let h be d + 22 - s\/4. Calculate the greatest common divisor of h and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37485 = 413*j + 420*j for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1556192 and 497.1.\nAnswer: 1556689.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 224706.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - (-21)\/36. Let y(k) = k**2 + 12*k - 16. Let a be y(-13). What is the second smallest value in f, a, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 = -10. What is the common denominator of 28\/3 and ((-19)\/k)\/(15\/10 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.96 - 16. Let w = 17.41 - 17. Let v = o - w. Round v to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**3 - 4*l**2 - 4*l - 2. What is a(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3893, 3493, 2851, 1967?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q + 123. Let u be h(24). Let f(r) be the first derivative of 0*r - 3\/4*r**6 + 0*r**2 - 3\/5*r**5 + 0*r**u + 3\/8*r**4 - 7. Factor f(v).\nAnswer: -3*v**3*(v + 1)*(3*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -d4?\nAnswer: d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**4\/6 + a**3\/6 - 2*a. Let d(h) = 4*h + h**2 - 1 + 2*h**3 - 4*h. Let m be d(1). Give s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3913 (base 10) to base 4\nAnswer: 331021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(3*1\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1250) - ((sqrt(1250) - (1 + sqrt(1250)))**2 - sqrt(1250)))*6)*-6.\nAnswer: -1800*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 75, 4, -0.1, 0.047?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 4. Suppose 16 = -194*v + 202*v. Let g(i) = 7 + v - 4 - 6. Give 3*g(f) - y(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 3 - (-605 - -576)) + -56.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i - 1. Let d(j) be the second derivative of -j**5\/20 + j**4\/3 - j**3\/6 - 3*j**2\/2 - 2*j. Let z be d(3). Suppose 2*q - 1 - z = 0. What is f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**3 + 3*m**2 + m - 2. Let x be i(2). Let b = x - -85. Suppose 2*q = 3*h + 31, 4*q - h - 110 = -b. Solve -3*p = p + q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1218 + -1216. What is the highest common factor of i and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6827, -13130, -18815, -23888, -28355?\nAnswer: -32222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 335?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Let h(q) = 4 - 5 - 3*q**3 + 4*q + q**2 - 6. Let n(o) = 2*o**3 - o**2 - 2*o + 4. Let z(x) = 3*h(x) + 5*n(x). Give z(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 4*p**2 + 5. Let n be s(-4). Suppose -82 - 23 = -n*k. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*b - 667 = -40*b + 146 + 747 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**3 + 6315613*p**2 - 2*p - 519741660 wrt p.\nAnswer: 12*p**2 + 12631226*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -351*k - 14190. What is s(-41)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3870, 3878, 3902, 3948, 4022?\n\"Answer: d**3 + 2*d**2 - 5*d + 3872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqcq when four letters picked without replacement from cccccqccqqqccqccqqc?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 45927783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*o + 11*o + 9*o)*(-4*o + o + 8*o) in the form n + h*o + m*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -403, -388, -365, -334, -295, -248?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1808 - 3703\/2. Calculate the common denominator of ((-142)\/6)\/(5\/5) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211091 divided by -16\nAnswer: -211091\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (7 + 7 + 0)) + 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*q**4 - 24*q**4 - 29*q**5 + (-2*q**3 + 4*q**2 - 4*q**2)*(0*q**2 + q**2 - 2*q**2) + 2*q**5 - q**2 + q**2.\nAnswer: -25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1100))**2*3*-3.\nAnswer: -10044 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-5)\/10 - (-84)\/(-8). Let k be (7\/42*f)\/((-3)\/10). Solve 10 + 10 = k*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254060.6 + 0.05?\nAnswer: 254060.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7595*y - 15184*y + 7594*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 667575, 667756, 667933, 668106, 668275?\nAnswer: 668440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 0.04. Which is the closest to 0? (a) q (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.71755 to zero decimal places.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-2 - -2) + 0. Let t be m\/(5 - (3 + 0)). Solve c = 2*f + 6, -3*c - 2 = 2*f + t*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 44088190684.\nAnswer: 44088190685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + s - 11 = 0, 2*o + 3*s = 4*o. Suppose -6 = o*j + 12. What is the remainder when j\/15 + (-267)\/(-5) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-18\/5)\/k)\/k*k*k*k**(-2\/5) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568297 and 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589020 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: Calculate (12 - 1270\/105) + (-28)\/(-294).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from {f: 7, k: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165911390 - 6471562816\/39. Let u = 26116 + o. Find the common denominator of -73\/27 and u.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*9\/9)\/((-4)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*a**2 - 19 - 35*a + 110*a**2 + 6 + 4 - 3.\nAnswer: a**2 - 35*a - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - g**2 + 5*g**2. Let w(k) = -3 + 4*k - 8 - 5*k**2 - 15*k. Let q(u) = 2*u**2 + 4*u + 4. Let l(x) = -11*q(x) - 4*w(x). What is l(p(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -30, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {r: 1, b: 3, n: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 4034?\nAnswer: -121.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25370.\nAnswer: 2, 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-2))\/((-9)\/18). Let u(h) = 4*h**2 - 5*h - 5. Let l be u(5). Calculate the greatest common divisor of l and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/20 - (-4)\/10. Suppose -a*p - 9 = -7*p. Solve w - m - 1 = 1, 0 = p*w + 2*m + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -648*t - 2 + 646*t + 23. Let g be l(8). Let u be ((-6)\/g)\/(9\/120*-4). Solve 5*a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v = -10*v + 87630. What is the remainder when v is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13*u**3 - 7*u**2 + 24*u. Let l(w) = -7*w**3 - 4*w**2 + 12*w. What is -11*l(j) + 6*v(j)?\nAnswer: -j**3 + 2*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*16\/(-56)*-4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*z**2 - 92*z**2 - 3 + 196*z**2.\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 5. Let v be c(-5). Let u be (-3)\/(-24) - (0 + v). Let j = -1615.93 + 1616. Is j <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -16. Let p = t - -244. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2967 by -129.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let r(x) = -x**2 + 12*x - 11. Let l(o) = -o**2 + 12*o - 2. Let d be l(11). Let b be r(d). Let s = b - -31. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:47 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 662*s - 19215. Give o(29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 - 2. Let w = -157 + o. Sort 5, 1, w.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 4*f - 8. Let j be h(-2). Calculate the common denominator of ((-2484)\/j)\/9*(-1)\/11 and 19\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*g = -359*g - 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 156 = -42. Let q = -18 - o. Factor 1\/5*f**2 + q + 0*f.\nAnswer: f**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4372303485.\nAnswer: 3, 5, 11, 26498809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4175 - -4177. What is the greatest common factor of 1218 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 - 2*q**4 - 1497363*q**2 - 8139*q + 797 wrt q.\nAnswer: -20*q**3 - 24*q**2 - 2994726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/35 and 31\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 2*g**2 - 2*g**2)*(2 + 1 - 2)*(0 + 3 - 2) - 2 + 2 - 2*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 - 24188*c - 73132418 = 0.\nAnswer: -6047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*q - 8, 5*l + 614 - 693 = 3*q. Solve 2*p = -5*b - 58 + 75, -5*b - 5*p + l = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2538192 and 6736.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 123671.\nAnswer: -123671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -301, -509, -717, -925?\n\"Answer: -208*x - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbn when three letters picked without replacement from {b: 1, q: 1, n: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((4\/(-9))\/4)\/(15 - (-1001)\/(-66)). Which is greater: w or 3560?\nAnswer: 3560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -28*c - 812. Give a(-20).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-115) + (-6)\/(-20) - 84\/(-2040)*-105\nAnswer: -48\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.21 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000251 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42146, -84290, -126434?\n\"Answer: -42144*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 b when four letters picked without replacement from sttttttttbttbt?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7)**24 assuming z is positive.\nAnswer: z**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 895\/17005 - 1*(-310)\/(-114)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*b - 75*b - 64*b to the form m + c*b and give c.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 8:11 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/529 and 71\/33.\nAnswer: 17457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170357.\nAnswer: 3, 390119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25.27295 decades?\nAnswer: 2.527295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -19733\/179 at least -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 4:13 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 217860.\nAnswer: 1089300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5201*g - 353673. Calculate l(-68).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4593?\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+183.2689\nAnswer: 183.3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = -75 + 67 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.2825 - -13.072506. Let x = 0.21 + m. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 1:15 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72514256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2155264240 + -5?\nAnswer: 2155264232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224346 by 5.\nAnswer: -224346\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13216 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14090 = -0*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.46 - 49. Let t = 0.6 + s. Which is the smallest value? (a) -1 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48450, 48456, 48462, 48468, 48474?\n\"Answer: 6*j + 48444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.6. Let f be (-6 - -2)*2\/(-20). What is the second smallest value in -1, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (-4*(sqrt(208) + 0) - sqrt(208)))*-6)**2.\nAnswer: 5760*sqrt(13) + 748944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 11*u**2 - 2*u - 19. Let o(w) = 5*w**3 - 20*w**2 + 5*w + 39. Give -9*i(z) - 4*o(z).\nAnswer: -2*z**3 - 19*z**2 - 2*z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.29469 months in decades?\nAnswer: 0.72745575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1800 - z**2 - 1800. Let x(t) = 4*t**2 - 5*t. Give -5*o(v) - x(v).\nAnswer: v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j - 579864 + 158088. What are the prime factors of j?\nAnswer: 2, 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078950557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**6\/135 - c**5\/15 + 11*c**4\/54 - 2*c**3\/9 + c - 15. Suppose r(s) = 0. Calculate s.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*h**2\/2 - 139*h - 8 = 0. What is h?\nAnswer: -8\/143, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30264 or -181579\/6?\nAnswer: -30264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 0*i. Suppose x + 3*y = -1281, -8*x + 10*x + 5*y + 2560 = 0. Let a be x\/(-34) - 1\/i. Is a greater than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3)\/((-9)\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/18 - (-32)\/6. Let z = 498 - 254. Suppose z = 2*x - 3*g + g, -g - 626 = -l*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d**4 + 210405*d**3 + 9027003*d**2 - 7594509*d - 1642815 = 0 for d.\nAnswer: -43, -5\/28, 1, 2547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/4 (c) -3\/4 (d) -5 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 345 - 2418\/7. Put p, -1, 2 in increasing order.\nAnswer: -1, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-5 - 0)) + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124.3 - 131.3. Which is smaller: 251 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-1)\/(0 + 1). Suppose m = 119*l - 114*l - 135. Suppose -2*w = -l - 9. Calculate the greatest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 7*u**2 - 16*u + 12. Give b(-8).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 - 11*n**2 - 10*n + 23. Let l be p(5). Let g be ((-27)\/l)\/((-9)\/(-24)). Is -0.9 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21511 (base 7) in base 12?\nAnswer: -315a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 3*h - 1. Let c(i) = 68*i**2 + 33*i - 8. Let x(y) = -c(y) + 13*t(y). Let l(u) = -16*u**2 + u - 1. Determine -11*l(m) + 2*x(m).\nAnswer: 14*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (7889700\/624)\/(-425)*8\/(-7)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 10*a**2 - 8*a + 1. Let n be d(-9). Let k be (-2)\/n*1340\/5. Suppose -5*c = 2*b - k, -2*c + 67 = -3*b + 215. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4925 + -4873. Solve -60 = -40*r + m*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2 + 4)\/6. Suppose -j + 79 = 5*m, -4*j = 4*m - m - 61. Suppose y + 4*y + 4*g - 1 = 0, y - 3*g = -m. Sort y, c, -2.\nAnswer: y, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 5*c + 5. Suppose 29*i - 12 + 35 - 168 = 0. Let s(g) = g - 2*g + 6 + 7*g. Calculate i*s(o) - 6*t(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*b**4 - 18*b**4 + 13*b**4 + (-2*b**3 + 6*b**3 - 2*b**3)*(b - 2*b + 0*b).\nAnswer: 78*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000091908 to seven dps.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1802282 - 1802282 + d - d**3. Let h(u) = -u**3 - 2*u**2 - 2*u - 3. Let o be h(-2). Let p(n) = 2*n**3 - 2*n**2 - 3*n. What is o*p(v) + 4*j(v)?\nAnswer: -2*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s + 2. Let f(r) = -13*r - 3. Let x(o) = 2*f(o) + 3*w(o). Let t(c) = c. Let m(z) = 7*z. Let g(n) = -m(n) + 6*t(n). Determine g(x(d)).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6)\/(7625\/(-21045)*(-4)\/60).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, -3, -0.061, 3181?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -47*g + 86*g - 41*g + 2. Let l be x(2). Sort l, -11, 1 in ascending order.\nAnswer: -11, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-4))\/(1 - 0). Let w be (30\/7)\/c*-42. Suppose 0 = n + 4*n - w. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050126 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33 - 13*y**2 + 7*y**2 + 4*y**2 + (0 - y + 0)*(0*y + y - 2*y) + y**2 - 1 + 1 + 12*y**2 - 16*y**2 - 6*y**2.\nAnswer: -10*y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = s - 12, -l = -4*s - 7. Solve -4*o - l = 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 - 197*a - 393\/2.\nAnswer: -(a + 1)*(a + 393)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 7. Let i = 17 + g. Suppose i*h - 33 = 10*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -j + 40, o - 6*o = -j + 49. Let n = o + 12. Suppose 0 = n*g + g + s - 7, 4*s = 5*g - 14. Solve -3*x = -g*k - 13, -6*x = k - 2*x - 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304) + sqrt(19) + (0 + sqrt(931))**2)*6.\nAnswer: -18*sqrt(19) + 5586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 8. Let y(v) = 3*v - 7. Let r(m) = -4*m + 8. Let u(h) = 2*r(h) + 3*y(h). Calculate u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmcmmycmmyycy. Give prob of picking 2 m and 1 y.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.646119 - -46.31643. Let r = -4.33 - l. What is r rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2. Let k(j) = -3*j + j + 4*j - 3*j. What is k(c(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-1\/2)*i**(5\/6)*i*((i\/i**(-4)*i)\/i)\/i*i*i*i**(-4)*(((i*i**0\/i)\/i*i)\/i)**(-3\/19)*(i**(-2\/5))**(13\/5) assuming i is positive.\nAnswer: i**(7768\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2742342 is divided by 85698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2073 - 1222. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159729177 is divided by 2086.\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 6*i + 4*i)*((0 - 1 + 3)*(-1 + 3 - 3) - 1 + 4 - 1 - 70 - 59 + 161) - 5*i + 3*i + 4*i.\nAnswer: 162*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13231769.\nAnswer: 47, 281527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -485*a. Let b(r) = 44*r. Determine -65*b(s) - 6*d(s).\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5954*a - 5602*a = -36960 for a.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.26, -1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let j(a) = -5*a. Let l(s) = 3*j(s) - 8*u(s). Let f(c) be the third derivative of c**4\/8 - 2*c**2 - 33*c. Calculate f(l(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59518886 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.502998um?\nAnswer: 0.000000502998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*i + 3*z, -2*i - 1 = -4*z - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)\/(33\/891*-63)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**2 - 10*g**2 - 6*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -743693, -743687, -743681, -743675, -743669, -743663?\n\"Answer: 6*j - 743699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22501042 to the nearest integer?\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 50 - 400. Suppose 0 = -73*o + d*o + 27. Solve 2*z - 11 = -o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4\/7 - 66*o**3\/7 - 24*o**2\/7 + 760*o\/7 + 1056\/7 = 0.\nAnswer: -2, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -31*x + 199. Let n be o(25). Let m = n - -578. Solve 2*h - 4*h + m = 2*c, -h = 2*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 - v**4 - 3*v**4 + (-11*v**2 + 44*v**2 - 18*v**2)*(3*v**2 - v**2 - 3*v**2) to g*v + z*v**2 + l*v**4 + s + b*v**3 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 228.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -75, -63, -47?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6602855, 6602863, 6602875, 6602891, 6602911, 6602935?\nAnswer: 6602963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68767 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 (base 10) in base 14?\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 5*b + 4*v, -2*b + 63 = 5*v - 120. What is the greatest common factor of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288152102 is divided by 305.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - x + 2*x = 355, -4*z + 358 = -2*x. Differentiate 31 - 4 + z*k**4 - 84*k**4 with respect to k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 9:40 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/20 and -187\/3810?\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/3))**0)**8)**(28\/5))**31 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/2 + 4181*w**4 + 86065*w**3\/2 - 30547*w**2 = 0 for w.\nAnswer: -2777, -11, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*x + 37 - 17 - 16 - 8 to the form i + o*x and give o.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h + 8. Suppose o - 4 = h. Suppose -4*k - 4*r + 44 = 0, 46 + o = 5*k + 4*r. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 5*y = -2, -109*b + 105*b - 8 = 4*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyu when four letters picked without replacement from uyyu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = t - 1965, -3*v - 9 - 3 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 115 = -24*x. Let l = 29 + x. List the prime factors of (336\/35)\/(l\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3489 + 6966 + a - 3477.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 64\/(-36)) + -1. Sort o, 5, -2 in descending order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 0*l - l)*(-2*l - 1 + 1)*(-2 + 10 + 18)*(11*l - 28*l - 15*l + (0*l - 2*l + l)*(-2 + 0 + 4)) to the form x*l**2 + b*l + q*l**3 + h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -877405, -877406, -877407?\nAnswer: -877408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531.8043299 rounded to one dp?\nAnswer: -1531.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6668, -13353, -20032, -26705, -33372?\n\"Answer: 3*b**2 - 6694*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 286c0 (base 15) to base 4\nAnswer: 133223310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 6.\nAnswer: 91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*o + 9 = 0, 0 = -5*m + 4*o - 2*o + 21. Solve -5*x + 5*b - 9 = 6, -5*x + m*b - 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a millennium in decades?\nAnswer: 2325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -275*k + 236*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 92*w - 9*w in the form p + h*w and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 3*u**2 - 5*u + 7. Give z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30769673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 32917561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 649469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a week?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10 - (9 - (-57)\/95)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - p)*(p**3 + 4*p**3 - 6*p**3) + 101*p**3 - 101*p**3 - 60*p**4.\nAnswer: -62*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455438.\nAnswer: 2, 3, 17, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/54 + 20\/(-24).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1\/17, 159?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596149224?\nAnswer: 2, 3, 11, 353, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 743344064 and 17607.\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961162.\nAnswer: 2, 109, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -65, -84, 3, 4, 6 in decreasing order.\nAnswer: 6, 4, 3, -5, -65, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3112 = -181*z + 6481. Let v be 2\/(-5) + 1596\/15. What is the highest common divisor of v and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -6 + (-2 - 3) + 25 + 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 2*l + 0*l**3 + 0 + 0*l**2 - 1\/4*l**4. Let a(d) = -4*d. What is z(a(h))?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000737377 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 22488?\nAnswer: 112440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-8))\/((-2)\/(-8)). Let y = i - -9. Suppose y = 2*x - 0*x. Solve -18 = -4*o + 2*l - x*l, o + 4*l + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -7*f**4\/24 + 45*f**2. Let s(o) = 14*o. Calculate g(s(k)).\nAnswer: -98*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17186 + 8595 - 2749*p + 8591)*(-p**2 + p**2 + 2*p**3).\nAnswer: -5498*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 822986002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23378, 23374, 23368, 23360, 23350, 23338?\n\"Answer: -b**2 - b + 23380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -7*t**5 + 2182*t**4 - 129765*t**3 - 174230*t**2 + 226052*t + 75768 = 0.\nAnswer: -2, -2\/7, 1, 82, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(761\/21308)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 284 - 2*r - 284 - 32*r**3 in the form b*r**3 + u*r**2 + g*r + n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u**2 + 3 + 1 - u**2 + 4*u. Let n(g) = 1032*g + 52638. Let x be n(-51). Determine z(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)*-6)\/sqrt(12))**2 + (sqrt(18) - (sqrt(126) + sqrt(126)*3)\/sqrt(7)).\nAnswer: -9*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -10) + (4 - 3). Suppose 3*q - 6*q + m = 0. What is the smallest common multiple of 22 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 - 119. Suppose 5*h - 53 = -k. What is the highest common factor of 75 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f**2 - 217*f + 9. Let o(u) = -13*u**2 + 218*u - 8. Calculate 7*o(r) + 6*t(r).\nAnswer: -r**2 + 224*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(900))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775476 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least as big as -475039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 127*k. Let w(h) = -647099 - 2*h + 647099. What is w(o(g))?\nAnswer: -254*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 46*c + 68. Calculate w(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35328 and 97428?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 1385548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1863 to 3 decimal places.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (84\/2)\/7 + 4*-1. Suppose n = 3*b + b - 2*f, 2*b = -2*f + 4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 + 121. Suppose 26*i = c*i + 57490. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 315. Calculate the greatest common divisor of 30 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 0*k**2 + 0*k - k. Let v be s(-1). Let h(m) = -m - 2. Let w be h(1). Is w greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.02 + -28.1. Let z = l - -0.08. Are z and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-80)*(-112)\/40\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(104\/(-6))\/(-4). Let f(i) be the first derivative of -i**3\/3 - 7*i**2 - 7*i - 896. Is f(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + x = 3, 0 = -2*v + v - 4*x + 12. Suppose -54*g + g - 95*g = -740. Let w = 0 - -1. Which is the closest to v? (a) w (b) g (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-57)\/27 + -2 + 108 + -115?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(28\/(-9)) - 1. Let w = 1 - l. Which is the third biggest value? (a) -3\/7 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**4\/6 + 5*i + 114. Suppose 0 = 3*b - 4*u - 30, -3*b - 5*u = -4 + 1. Let p(d) = d + 2*d - b + d - 3*d. Determine a(p(l)).\nAnswer: 2*l**2 - 24*l + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((((f**6\/f)\/f)\/f*f)\/f))\/(f**(-6)*f)*(f**6)**38 assuming f is positive.\nAnswer: f**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713, -712, -711, -710?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33587.\nAnswer: 33587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70808 = 1596*x - 7780*x - 374440 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10100010011?\nAnswer: -10100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-30)*(-2)\/20. Let x(d) be the second derivative of v*d**6 + 0*d**2 + 0*d**3 - 1\/100*d**5 - 1\/30*d**4 + d + 0. Factor x(w).\nAnswer: w**2*(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 145*i - 5 + 56*i - 2*i.\nAnswer: -91*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 13) in base 14?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16245 and 24.\nAnswer: 129960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.4 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 28\/75 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2. Let p be j(0). What is the common denominator of (p\/(-30))\/(18\/(-1539)) and 31\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2731 by 241.\nAnswer: -2731\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68851355 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 36456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 327, 319, 309, 297, 283, 267?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/170629 at least 1.4609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111 * -0.1281099\nAnswer: -14.2201989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687692558?\nAnswer: 2, 7, 73, 97, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) - (-20)\/(-6). Sort 0, -5, v, 2.\nAnswer: -5, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {a: 1, d: 1, f: 1, c: 1, o: 2, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, i: 1, t: 2}. What is prob of picking 1 r and 2 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - n - 1. Suppose 0 = 11*w - 138 + 149. What is l(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29\/5 (b) -2\/15 (c) 1\/831 (d) -2\/7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/11*x**2 + 4\/11*x = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-51))\/(-2*2\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (2 + (-3 - -3)). Suppose -81 = -3*l - 5*f, -c*f + 2*f + 31 = l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35571803 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572466.\nAnswer: 2, 3, 595411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-143)\/9 - (-12)\/((-12)\/3). Let g = k + 1208\/63. What is the nearest to g in -5, 7, 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/3))**(-26\/7))**(-1\/45)\/((q**(-2\/7))**44*q\/q**(-8)*q*q*q\/((q**(-2\/25)*q)\/q)) assuming q is positive.\nAnswer: q**(406\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2216\/7 - -318. Factor -8\/7*r - 32\/7*r**2 - o*r**3 + 50\/7*r**4 + 0.\nAnswer: 2*r*(r - 1)*(5*r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6670140 by 58510.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-36) - 192211\/(-113436)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - f + 6 + 6*f - 2*f.\nAnswer: -3*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, n: 3, p: 1, z: 3, l: 1, r: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115790 + -31777. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 137. List the prime factors of l(0).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6198 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -34*t**3 + 5*t**2 + 17. Let s(f) = -2*f**3 + f**2 + 1. Let n(q) = -l(q) + 4*s(q). What is the third derivative of n(b) wrt b?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 2*x - 5*x + 2*x + 1. Calculate j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -740*c**3 - 36*c**4 + 740*c**3 + (4*c - c**4 - 4*c)*(-2 - 1 + 2).\nAnswer: -35*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -355\/24374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -6.1. Let z = -5 + q. What is the second biggest value in z, -0.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37444015?\nAnswer: 5, 7, 641, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 758538 and 18134677?\nAnswer: 979272558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*s**2 + 0*s**6 + 66*s**2 + 2*s**6 - 4*s**3 - 5*s**6 + 3*s**3 wrt s?\nAnswer: -360*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/29540 - -83451\/14770. Let s = 1188 - 6924. Let t = s - -137765\/24. Find the common denominator of n and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x + 4*x**2 + 1 + 18 + 0*x + 6*x. Is m(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 12*q**2 - 10*q + 11. Give w(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31\/31*(-2)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -625*r - 29. Suppose 11*n + 64 = -5*n. Is t(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25649114 or -0.1?\nAnswer: 25649114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10499324 is divided by 2032?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u - 18*u**2 + 43*u**2 + u**3 + 13 - 18*u**2 - 16*u**2. Let y be b(8). Solve -y*v - z = -v + 5, -20 = -2*v + 4*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -26, 4 in descending order.\nAnswer: 4, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3487\/3 + -1159. Factor 5\/3*g**2 + 5\/3*g - n.\nAnswer: 5*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qooqono. Give prob of sequence ono.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 5*a**2 + a**2 + (-1 - a**2 + 1)*(1 - 3 - 1)*(-9 + 17 + 51).\nAnswer: 174*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 30*y + 39. Give n(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:30 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*7\/7 + -21. What are the prime factors of 34 + (1 - q\/3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 413*y + 42112. Give k(-232).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/153157 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 11. List the prime factors of l(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*r**2 + 189*r**2 - 539*r**2 + 159*r**2 - 62*r.\nAnswer: r**2 - 62*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -11. Let x be (58\/4)\/(2\/4). Let m = x + -14. Does y = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/c)**(8\/3) assuming c is positive.\nAnswer: c**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 534861.9 millennia?\nAnswer: 53486190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -164 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/3 + 7106*x**2\/3 + 78467*x\/3 - 427020 = 0.\nAnswer: -20, 9, 7117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(48) - sqrt(432) - sqrt(48)))\/(sqrt(24)\/sqrt(3)*-4))\/(sqrt(27)*4 + sqrt(588)).\nAnswer: -15*sqrt(2)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356662410.\nAnswer: 2, 3, 5, 13, 914519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 2)*(0*k**2 + 3*k**2 - 7*k**2).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x + 0 + x + 0)*(-15 + 8 + 9)*(177*x - 177*x + 26*x**2).\nAnswer: -624*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*n**4 + 11*n**4 + 21*n**4 + 4*n**4 + n**4 - 3*n**4 + (-n**3 - n**3 + 4*n**3)*(2*n - n + n) + n**4 - 4*n**4 + 2*n**4 - 2*n**4 + 2*n**4 + n**4.\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v - 3 + 4*v)*(0 - 2*v - 3 + 0*v).\nAnswer: -2*v**2 + 3*v + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -31*c**4\/2 - 102*c. Let w(n) = n**2. Give p(w(z)).\nAnswer: -186*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22191868?\nAnswer: 2, 17, 326351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*c*i**3 + 43512*c*i**2 + 1735959*c*i wrt i?\nAnswer: 216*c*i + 87024*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -583855, -1167723, -1751593, -2335465, -2919339, -3503215, -4087093?\n\"Answer: -f**2 - 583865*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/((-735)\/7))\/(46\/(-1896)). Let j = -32\/23 - s. Determine z so that j*z**3 + 2\/7*z**5 + 0*z**2 + 0*z - 6\/7*z**4 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 16. Let r be d(-14). Let b(z) = z + 6. Let l be b(-3). Suppose 0 = l*g - r*g - 21000. Round g to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 951*h**2 - 276*h - 787*h**2 + 276*h.\nAnswer: -h**3 - 1738*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, o: 1, d: 1, t: 2}. What is prob of picking 1 t and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252124135 + 2?\nAnswer: 252124141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*n - 9174 = 7163 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 89969\nAnswer: -44984.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -3.9.\nAnswer: 113.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 2, z: 3, s: 1, l: 2}. Give prob of sequence lzwt.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhooohaaao.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 + 630*g**2 + 1925*g + 1290 = 0. What is g?\nAnswer: -2, -1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2499.1 in -5, 1\/21, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 64560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 10 - 53 + 47 - 3*m**2. Give q(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 13\/7, -6\/11, -486?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 6*q. Let h(b) = -11*b**2 - 63*b. Let i(k) = 21*g(k) + 2*h(k). Let x(v) = 4381*v**2. What is i(x(z))?\nAnswer: -19193161*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*2 - (-95)\/195?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 230, 217, 204, 197, 202, 225?\n\"Answer: i**3 - 6*i**2 - 2*i + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - 21*m**2 - 116. Let u(a) = 11*a**3 + 49*a**2 + 231. Calculate 3*u(k) + 7*w(k).\nAnswer: -2*k**3 - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5622, -5596, -5570, -5544?\n\"Answer: 26*m - 5648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.5, 3\/7, -2\/5, 3.86, -7\/2?\nAnswer: 3.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156\/31 + -593\/124. Let r be ((-2)\/6)\/(30\/(-36)). Sort c, r, -0.4, -1\/7.\nAnswer: -0.4, -1\/7, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 24 = -5*k, 2*b + 27 = 10*k - 5*k. Suppose -r = 4*y + 5 - 50, -k*y + 45 = -r. Solve y = -4*j - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 + 5*h - 3*h**2 + 4*h**2 - 3*h**2. Let f(s) = -10 + 4 + 9*s + 7*s**3 - 4*s**2 + 6. Give -5*c(u) + 3*f(u).\nAnswer: u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3311*c**2 - 1067*c**2 - 375*c**2 - 1860*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-29\/3))\/(p*(p**(-2\/3)\/p)\/p) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*g = -51, 6 = 36*g - 38*g for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 392\/84*4\/(-42)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 12732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15158 smaller than -15158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2813.092 years?\nAnswer: 281.3092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83099 + 57957 = 32*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -280, -992, -2186, -3862?\n\"Answer: -241*p**2 + 11*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {y: 2, g: 3, x: 5, h: 7}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 58664.11 meters?\nAnswer: 58.66411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 107855*h - 862814. Give m(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1690, -3758, -5884, -8098, -10430?\n\"Answer: -5*h**3 + h**2 - 2036*h + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 7104?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15*o**3 + 1235*o**2 - 400*o - 820 = 0.\nAnswer: -2\/3, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*x**2 - 118*x**2 + 38*x**2 - 2 - x**3 + 58*x**2 + 6*x to the form c*x + v + n*x**2 + l*x**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -14 + 2. Find the second derivative of k + 21*k**3 + 3*k - 22*k**s wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 103*u**8\/168 - u**6\/30 + 25*u**5\/3 + u**4\/12 - 740*u**2 - 3. Find the third derivative of p(h) wrt h.\nAnswer: 12360*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -19168 (c) -0.3 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 12 - -13 - (5 + (-3 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 2, 3 in ascending order.\nAnswer: -4, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27459*z**6 + 126*z**5 + 28097620*z**2 wrt z?\nAnswer: 3295080*z**3 + 7560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/20*(1 + -1). Solve -g - 13 = 5*m, g - 5*m - 8 + 1 = i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*r + 116*r + 138*r - 550*r)*(r**4 - r**4 + 2*r**4).\nAnswer: -294*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 + 511. Let w = -204 + x. What is the smallest common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12622 or 12627?\nAnswer: 12622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 2763100*l - 3817360805000.\nAnswer: -(l + 2763100)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 4:09 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 + 6 = 5*w, 0 = 5*w + 5*a. Suppose -30 = -w*v + 14. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*o + 45437 = 0, -3*s = -s - 3*o - 18172. Is 149 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 divided by -3?\nAnswer: -358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 639428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024907 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2. Let t(f) = f - 825. Give t(n(g)).\nAnswer: -3*g**2 - 825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 698559, 698571, 698593, 698625, 698667, 698719, 698781?\n\"Answer: 5*l**2 - 3*l + 698557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 29 + (-2)\/2. Suppose 7*g + 378 = 3*g + 3*k, g + 4*k + 104 = 0. Let u be g\/i + (-3)\/(-7). Is u less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(4\/35)*z**(-28))\/(z**16*z*z)**(-24))**(3\/31) assuming z is positive.\nAnswer: z**(42642\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -7. Suppose 0 = -h*s + 14*s - 24. Is s\/(-32)*1*-508 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 3 - 3 + (-1 - 3 + 6)*(-6*r + 3 - 3) + (4 - 3 - 7)*(-3*r + 0*r + 5*r) as b*r + a and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*i + 273 = 0, -5*j - 2*i + 287 = -140. Suppose v - 131 = -6*n + 3*n, -2*n - v + j = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-112)\/280*5\/(-21). Let w be -4*(-4 + 3)\/6. Which is the fourth biggest value? (a) -0.4 (b) w (c) t (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60151939.\nAnswer: 60151939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**4\/24 - 7*w**3\/6 - 3*w**2. Suppose 21*d - 30*d + 54 = 0. Let u(r) = r + 8. Calculate d*u(q) + 7*l(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7*y = -94, 2*y + 57 = -m + 8. Is m smaller than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2525500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.38838\nAnswer: -1.9419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 24*h**2 + 3*h - 3. What is the tens digit of n(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -251.587 from -0.0357.\nAnswer: 251.5513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 2*n + 4*n + (3 - 3 + 2*n)*(3 - 4 + 4) - 2*n + 3*n + 0*n - 3 + 0 - 2*n + 1 as a*n + p and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2)*(-1262)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h - 68. Let g be j(-7). Suppose -20 = -11*p + 7*p. Sort p, -4, -1, g in descending order.\nAnswer: p, -1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w*w*w**0))\/(w**(-4)*w))\/((w\/((((w\/w**(-1\/4))\/w*w)\/w)\/w))\/w*w)**(-1)*((w*w\/(w**0*w)*w*w)\/w)**(-37)*(w**(-2\/3))**(1\/20) assuming w is positive.\nAnswer: w**(-4217\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -73. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2245530 (base 6) to base 14.\nAnswer: 30058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 - 8*a - 51. Let j be y(-4). Find the third derivative of j*m**2 + 86*m**4 + 55*m - 55*m wrt m.\nAnswer: 2064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22355543 (base 6) in base 15?\nAnswer: d7b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 99485*x + 696150.\nAnswer: 5*(x - 19890)*(x - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 - 3*f**2 - 3*f - 4. Let y(q) = 9*q**3 - 6*q**2 - 6*q - 9. Calculate -13*x(w) + 6*y(w).\nAnswer: 2*w**3 + 3*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 - 204*d**3 + 246*d**2 + 4120*d.\nAnswer: -2*d*(d - 5)*(d + 4)*(d + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t - 4. Let c(p) = -2. Let f(h) = -2*c(h) + q(h). Let k(n) = -11*n**2. Determine k(f(z)).\nAnswer: -275*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 18 = y. Calculate the highest common divisor of y and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) -456 (d) -11.9 (e) -26 (f) 0.4 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c = 54*c - 116. Suppose 3*h = c*j + 71309996, 81*j = -5*h + 80*j + 118850001. Round h to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) -4 (c) 12 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-7)*43491\/24852.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 22*f + 480. What is h(-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 11 (b) -59 (c) -16\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -4*u + 422. Suppose 3*g - u = 2*y, -g - y = -0*y - 17. Suppose 5*t + g = -4*c - 0*c, 2*c - t = -4. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) -32\/3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-3246*q + 192*q + 558*q)*(4*q + 2 - 2).\nAnswer: -19968*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*v - 23*v - 2*v**3 + (0 + 0 - 2*v)*(v**2 + 0*v**2 + 2*v**2) to h*v + a*v**2 + w*v**3 + t and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/29 - 111\/145. Let s = l - -22\/15. What is the nearest to 0 in -2, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(3\/8)*g*g**3*g)\/(g\/g**(-7)*g\/(g**13*g)))**(3\/4) assuming g is positive.\nAnswer: g**(273\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let i(x) = 11*x**2. What is i(f(t))?\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -126616 divided by 63308\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.039 + -0.039. Which is the nearest to 6? (a) m (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Suppose -20 + 7 = f - k*i, 4*f + 3*i = 17. What is the biggest value in 7, -1\/2, f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1384 divide 23766048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/7 - 36*c**2\/7 + 146*c\/7 + 60 = 0.\nAnswer: -21, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - ((sqrt(76)*2 - sqrt(76))*-3 - sqrt(76)))\/((sqrt(44) + -2*sqrt(44))\/sqrt(11)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -31*j**3 + 11*j**2 + 84*j + 22. Let c(i) = -15*i**3 + 6*i**2 + 43*i + 12. Give 11*c(o) - 6*h(o).\nAnswer: 21*o**3 - 31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1971 + -1970. Which is greater: u or 3\/2254?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135459501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 11*w + 26, -39 = -5*w - 4*m - 56 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 4*f**2 + f - 101. Calculate q(0).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a + 431?\nAnswer: 47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262283?\nAnswer: 7, 89, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -4. Suppose 13 = -n*l - 15. Let q be (l\/14)\/(14\/(-98)). Solve q*d - 3 - 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 13. Is p(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**3 - o**2. Let j be y(-1). Let x(m) = -m**3 - 6*m**2 + 3. Let d be x(-6). Let c = d + 2. Calculate the highest common divisor of j and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-7)\/(-28)*(-11 + 13))\/((-2)\/(-240)) and 260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -260*z**2 + 2*z. Let u(m) = 3*m**2. Determine b(u(w)).\nAnswer: -2340*w**4 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-2)\/150). Let t = 10 - y. Let j(c) = c**2 - 14*c + 8. Let a be j(16). Calculate the greatest common factor of a and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-452319)\/(-28) - 2) + (-3)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Suppose 0 = -2*k + 6*k - 280. Suppose i*s - 14 = k. Calculate the smallest common multiple of 3 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -8 - (5 - 1). Let a(b) = -8*b**3 + 11*b**2 + 11*b - 14. Let k(h) = 3*h**3 - 4*h**2 - 4*h + 5. Determine l*k(q) - 4*a(q).\nAnswer: -q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/70 - x**3\/7 - 2*x**2\/7 - 2*x. Factor u(f).\nAnswer: 2*(f - 2)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 5*o + 5*s = 40, -3*o + 4*s = 25 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-517376)\/(-4042) + (-236)\/4?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (56*d - 135*d + 58*d)*(1 - d - 1) - 5*d**2 + d**2 + 2*d**2 as f*d**2 + b + n*d and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/2 (c) -265\/2 (d) 5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30477 + -28457. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*s + 5*k + 67, 5*s - 5*k + 90 = 0. Let t be (-11)\/s - (-3)\/(-2). Let y(g) be the third derivative of -7*g**4\/24 - 1707*g**2. Give y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 520 + -590. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 33 = -4*b - 9, 25 = -5*o + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 196*i - 11*i - 2762420. List the prime factors of i.\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100000 + 1111111111100000?\nAnswer: 10000000101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1121, -2146, -3175, -4208, -5245, -6286, -7331?\nAnswer: -8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98) + 2)**2.\nAnswer: 112*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 245 + -499\/2. Suppose -y = 2*y + o + 277, y = -3*o - 79. Calculate the common denominator of b and 48\/80*y\/24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4903 * -15.\nAnswer: 73545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 24*c - 77. Let y be k(20). Let z(l) be the second derivative of -l**2 - 1\/3*l**y + 2*l + 0. What is the derivative of z(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:25 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + (0 - 2) + (65 + -59 - 26)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -10994c0 (base 14) to base 16\nAnswer: -788f00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 3*g**2 + g - 1. Let o be d(-3). Suppose -2*s - 1 = -5. Suppose -j + 2*j = a - 6, -4*j - s*a = 0. Which is bigger: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + r. Let p(w) = 7*w**2 - 24*w. Give -4*k(l) - p(l).\nAnswer: l**2 + 20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 0.6 (c) 2\/5 (d) -25 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*k - 4 - 12, -3*k + 4 = 4*n. Suppose -1 = k*m - 57. Calculate the remainder when 39 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 2*g**3 + 3*g**3)*(-14 + 11 - 12) + (-2*g + 2*g**3 + 2*g)*(2 - 2 + 1).\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2880248 and 51433?\nAnswer: 2880248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6148 + -1592330\/259. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + g + 24. Let j = g - 2. Determine l so that l - 3*l + j*l - 1 - l**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99121443?\nAnswer: 3, 33040481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-13)\/(-3))\/(67\/4422)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -43) + -46 + 50. Suppose -20*z - q = -13*z. Let k(n) = -n**3 - 8*n**2 - 5*n + 10. Calculate k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/18 + 7*f**4\/12 + 4*f**3\/3 + 21*f**2. Let t(q) be the first derivative of u(q). Find the first derivative of t(s) wrt s.\nAnswer: 40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044 divided by -1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15415000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y + 2. Let o be f(-4). Let m = 33 - o. Suppose 0*k + 88 = 8*k. What is the greatest common divisor of k and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {l: 4, n: 6, d: 3}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 7474. Let f(r) = -9183*r. Determine f(y(l)).\nAnswer: 18366*l - 68633742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 14 = -5*f - 15, -2*b + 23 = -3*f. Let k = 4 - f. Suppose -k*v + 6*v + 6 = 0. Solve 12 = -v*q - q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2 - 2*c - 1. Let w be p(2). Suppose -w = -3*o, x + x - 3*o + 13 = 0. What is the derivative of x - n + 2*n + 0*n wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgwgjwgjgwk. Give prob of sequence kgj.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 124842817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*y - 103*y + 492 + 582 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 16. Let n be (-2)\/((-7 + o)\/3). Calculate the highest common factor of 18 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 97\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 233354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 5268*q - 1076768.\nAnswer: -4*(q + 253)*(q + 1064)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35082, -138996, -312186, -554652?\n\"Answer: -34638*s**2 - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 28 (b) 2 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(311 - 25*s - 311).\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, y: 13, s: 5}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**6\/72 - r**4\/12 - 2*r**3\/3 - 1. Let v(l) be the third derivative of g(l). What is the first derivative of v(a) wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100 - 100?\nAnswer: 111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 6*i + 10*i)*(-3*i + 3*i**2 + 3*i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9559 + -9559. Let n = 0.02 + -3.02. Put 2, n, y in ascending order.\nAnswer: n, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7*a. Let h(g) = a*g + g - g + g - 1. Determine h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5175\/450 - (12\/10)\/(4\/30)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**5\/r*r*r)*(r**6*r)\/r)\/(r**(5\/6)\/(r*r**(-3))))**(-1\/10) assuming r is positive.\nAnswer: r**(11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.713 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39172.48 millennia to centuries.\nAnswer: 391724.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*d + 4. Let u = 262 - 261. Solve 3*w - u = d*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 = -0*l. Let r = l + 2. Suppose a + 3 + 1 = t, 5*t + 4*a - 11 = r. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 272?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*w = -2194, -1 = -3*w - 16. List the prime factors of 1*-3 - k\/(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 (base 6) in base 12?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 6*r + 5. Let z be m(-6). Suppose 0 = s + z*j - 34, 4*s + 3*j - 61 = -10. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(272)*6)**2.\nAnswer: 384*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-2))\/c*c)\/c)\/(c**(-1\/7)*c))\/(((c\/(c\/(c\/(c*c\/(c\/(c\/(c\/c**(-6)))*c))*c))*c)\/c)\/(c**(-5)\/c)) assuming c is positive.\nAnswer: c**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2546839 or -2546848?\nAnswer: -2546839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*r + 4*b, 4 = 64*b - 68*b. Let f be (-1 + 43)*(-5500)\/r. What is f rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 15 = 5*i, -7*b + 4*i + 1 = -2*b + 3*i + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76675 and 4082177.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16302364 and 3016?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s. Let q be k(-3). Calculate the greatest common factor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2689 (base 10) to base 2\nAnswer: -101010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1006?\nAnswer: -100.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95 * -248.\nAnswer: 23560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*-1*2 + sqrt(77) - (-1*sqrt(77) + sqrt(77) + sqrt(77))*2)\/((sqrt(11)*1 + sqrt(11))*-5 + -1*sqrt(99)) + 5.\nAnswer: 2*sqrt(7)\/13 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 687, 52, 12, 1, -11.\nAnswer: -11, -5, -4, 1, 12, 52, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 52.5. What is the nearest to -3\/2 in i, 2, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-8)*(-20)\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s, 26 = -2*y - 5*s + s. Let l be (-1 - 2 - -10) + y. Solve j + 8 = p, 2*p - l*j - 6 = 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 33*a + 4. What is the lowest common multiple of p(-11) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 11:59 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(7) + -1).\nAnswer: -4*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 307*t**5 - t**4\/4 - 2443*t**3\/3 + 3599. What is the third derivative of c(y) wrt y?\nAnswer: 36840*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*k - 14*k + 6055 - 3571 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56255539 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18*1*((-55)\/5)\/(-22)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 4. Let d be p(-7). Let x(r) = -10 - 4*r + 3 + 6*r + 3*r - 4*r. Let o be x(d). Solve 3*g - 3*v - 9 = 0, -o*g - 4*v + 15 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 5)*(-4 + 1 + 1) - 2 + 1 + 0)*(-4*t + 3*t - t) + 17 + 3*t - 17.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22278.53 - -22660. Let n = -392 + c. Round n to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wicw when four letters picked without replacement from wtwarcrrrirww?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 5*x - 69. Let b(k) = k**2 - 6*k + 68. Let r = -51 - -45. Let m(g) = r*a(g) - 5*b(g). What is the remainder when m(0) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -52. Calculate the least common multiple of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/186*(-3)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -20*t - 10. Let v be g(-1). Solve 2*a = -4*y + v, 5*a + 5*y = 12 + 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1036?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -54337 rounded to the nearest one hundred?\nAnswer: -54300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*b = -140, 0 = -4*k - 5*b - 0*b - 116. List the prime factors of (148\/6)\/((-16)\/k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985920124.\nAnswer: 2, 7, 2797, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-9 - (6 + -35))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1409 + -936806.\nAnswer: -936806.1409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/13193 - -13185\/52772. Find z such that -v*z**2 + 7\/2*z - 49\/4 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17425350 divided by -5808450?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 * -15.959189\nAnswer: 76.6041072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3480286, 6960575, 10440864, 13921153, 17401442, 20881731?\nAnswer: 24362020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 24 - 8 = 2*l, -l + 110 = 5*t. What is the remainder when t is divided by (-2)\/5 + (-57)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1111*1*3\/12*-1*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o**2. Let x be g(-2). Let l = 2 - x. Suppose -l*k - 5*s + 125 = 0, 8*s = 2*k + 3*s - 135. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 2 - 3*1. Let w(t) = t + 2. Let m(u) = u + 1. Let h(d) = 2*m(d) - 3*w(d). Let n be h(f). Is n bigger than 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-56)*6)\/((-30)\/40). Let n = -31\/140 - 5\/28. What is the closest to n in w, -1, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -14471.\nAnswer: 101297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2\/3 + 92*g\/3 = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4\/9 (b) -2 (c) 2986 (d) 0.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188270569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/27 + 1)*(-108)\/24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 24*u + 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188877, -375046, -561215, -747384, -933553, -1119722?\nAnswer: -1305891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 306, 465, 628?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 4*o**3 - 55*o - 37*o**3 + 55*o**2 - 4*o**3 + 50*o**2.\nAnswer: -5*o*(o - 1)**2*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.45232 millimeters to centimeters.\nAnswer: 9.945232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 - 4*i**2 - 3*i. Suppose -f + 2*l - 4*l = 0, 1 = -3*f - 5*l. Is 14 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 53*g - 26*g + 77638 = 0. What are the prime factors of g?\nAnswer: 11, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + -3 + 5 + -6. Suppose 0 = 5*m - 4*m + 4, -z*m = -p + 31. Let r = -3 - -6. Solve 0 - p = r*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2818804, -2818796, -2818788?\n\"Answer: 8*n - 2818812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 211, 202, 191, 178, 163, 146?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 7 + 21*r + 21)*(-2 + 5 - 4)*(0*r**3 - 5*r**3 - 2*r**3) as x*r**2 + w + n*r + b*r**3 + z*r**4 and give z.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 212\/20)\/((-2)\/(-10)). Suppose -5*r + 5 = 3*y - 90, 3*y = 2*r - 17. Calculate the highest common divisor of h and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11430094?\nAnswer: 2, 13, 499, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 - -8.4. Let l = u - 6. Which is the biggest value? (a) 0 (b) 3\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*q - 21, 2*k - 17 - 12 = q. Calculate the remainder when 21 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**3 + 6*o**2 + 3*o. Let w(y) = -y. Let a = -14 - -13. Let h(q) = a*t(q) - 3*w(q). Find the third derivative of h(z) wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.189581 rounded to 3 dps?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + (-11)\/(-33). Is 0 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from nttnt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15499402284699 - -11\nAnswer: -15499402284688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - -5. Suppose 2*b = x + j, -5*x - 4 = -4*x. Solve -2*i - i = b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/14*(-1710 + 1). Let z = 83 - -793. Let o = z + y. Calculate the common denominator of o and 119\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmhm when four letters picked without replacement from {m: 10, h: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 + 15. Let s(z) = z**2 - 4. Suppose 16 = -2*v - 4*f, 3*f - 28 = 5*v + 25. Let q be (v - -22)*(-2)\/4. What is q*h(d) - 22*s(d)?\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 65 = 8*d. Suppose -d*m = -8*m - 45. Solve -2*q + 0*q + w = 0, 5*w = q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7*q + 3195 = 0. Suppose 424*g = 429*g - q. Calculate the highest common factor of g and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -933*p - 1474. Calculate m(-2).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 660 and -0.1.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 616 + -864. Let q be h\/93 + (1 - -1 - -1). Is -31 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001613 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 4. Let y be 8\/(-6)*21\/(-7). Let b be n(y). Suppose b = -5*v + 258 + 2. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h + 70. Let d be m(-13). Put 1, 10, d in ascending order.\nAnswer: 1, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 6*v + 3*v)*(-2 + 2 - 2) + (-28 + 23 - 13)*(-3*v + 0*v + 5*v) + 2 - 2 + v.\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 709354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2492000 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 2465053?\nAnswer: 2465032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/77 and 19\/20768.\nAnswer: 145376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m + 692. Let p(q) = 11*q + 1041. Determine 8*b(z) - 5*p(z).\nAnswer: z + 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48810.7 years to decades.\nAnswer: 4881.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.49 + -25.49. Let x = v + 31. Let i = 8 - x. Which is the closest to i? (a) 1 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -399.\nAnswer: -399.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*x**2 + 70*x + 12*x**2 + 11*x**2 wrt x.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5301320 (base 6) to base 11\nAnswer: -166056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 9043115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 7*q**2 + 2*q - 7. Let r(z) = -z**2 + 1. Let x(w) = -3*m(w) - 21*r(w). Find the second derivative of x(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - (1 + -6 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 28*b**2 - 25*b - 48. Let k(t) = -t**3 + 47*t**2 - 29*t - 755. Let w be k(46). Determine z(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/103378 and 20\/180213?\nAnswer: 13335762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/30*(-12 - -7)\/10\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 161, 366, 593, 842, 1113, 1406, 1721?\n\"Answer: 11*m**2 + 172*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen halves of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*j - 48, -2*k - 5*j - 1 = -2*j. Let c = 3 - k. What is the lowest common multiple of 6\/c*(-8)\/3 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49485495 divided by -5?\nAnswer: 9897099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 21*q + 132 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77980, 79464, 80948?\n\"Answer: 1484*b + 76496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11353 - 11354. Let x = 2.8 - 3. Which is the closest to x? (a) 5 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0543973 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -0.1204, -5\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594009 is divided by 240.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8) + (22 + -34 - 8 - -14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1527 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 108459540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -275609 and 177.6.\nAnswer: -48948158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923253.75 rounded to the nearest 1000?\nAnswer: 1923000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/200964 or -1?\nAnswer: -1\/200964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181575109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*d - 3 + 10 - 7 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/9 + 2)*6\/4. Let z(c) = -58*c + 4. Let x be z(j). Let f be (-2)\/12 + 0 - 1737\/x. What is the highest common factor of 160 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:22 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 8:02 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -102. Suppose 2*a - g = 4*z + 84, 5*a - 360 = 3*z. Let u be 10\/a*(-6)\/10. What is the nearest to -2 in 0, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/16 + (-2)\/4. Let t(m) be the second derivative of 0*m**4 + 5*m - 1\/10*m**5 + j - 2*m**2 + 0*m**3. Differentiate t(d) with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*a, -4*l = 3*a - 7*l - 30. Let r(v) = -27*v. Let j be r(-1). Suppose -73 - j = -a*b. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000215887 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/3 - 168*i**3 - 38758*i**2\/3 - 22092*i + 3260576\/3 = 0. What is i?\nAnswer: -59, -11, 8, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/1154339859 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -37889 - m**2 + 37889. Let o = 11 + -5. Let t(f) = -o*f - 2*f + f. Determine z(t(j)).\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3554 + -10216. Is q equal to -6662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5459920 to the power of 1\/2, to the nearest integer?\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 3:11 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.44469 and 0.4.\nAnswer: -0.04469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -58. Which is the third biggest value? (a) 0.4 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:33 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3487405 to the nearest integer?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82b4a + -16?\nAnswer: 82b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + (13 - 2) + -2 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016906 plus 9757292871?\nAnswer: 9757292871.016906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 11:40 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2 + q**3 - q - 2132*q**2 + 2126*q**2 + 4 - 3 + 0. Calculate y(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 14678118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + -4 + 0 + 4. Is -10 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - -476)\/(21\/(-14))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0.9. Let h = -154371.9 - -154372. What is the closest to 1 in m, h, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 1. Let m be o(-5). Let h = m - -22. What is the second derivative of 2*w**3 + h*w - 5*w - 2*w wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963 is divided by 490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -350*p**2 + 5*p - 5. Let q(z) = 1051*z**2 - 14*z + 14. Let m(u) = 11*g(u) + 4*q(u). Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-8))\/((-4)\/32). Let b be 68\/(-20) - y\/15. Is -3 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -126 and -126 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2853, 2877, 2925, 3003, 3117?\n\"Answer: t**3 + 6*t**2 - t + 2847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 3, -2.\nAnswer: -95, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224332 + 4?\nAnswer: -224323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578 = -16*p - 610 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 30. Let j be q(-5). Let x(k) = 3*k + 1. Let r(z) = -40*z**2 + 15*z - 23. Let y(p) = j*x(p) + r(p). What is the derivative of y(t) wrt t?\nAnswer: -80*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-4 + -237 + 6)\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11910977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6156823*h**4 - 2*h**3 - 2 + 6156868*h**4 + 1 + 3*h to n*h + o*h**4 + b*h**3 + d*h**2 + i and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 445*i - 80431. Calculate t(-138).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 4345. Let w(u) = -2*u + 4. Calculate m(k) + 2*w(k).\nAnswer: -2*k + 4353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 2:19 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 6. Let l be a(-5). Let c(y) = -y**2 + 10*y + 5. Let s be c(10). Sort s, l, -2 in descending order.\nAnswer: s, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 11*y - 16 = 0. Solve i = 2*k + 8 - 4, 0 = 3*i - y*k - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*p - 53 + 15 = 0, 0 = h - 5*p + 14. Let g = 14 - h. Solve g = -2*b + d, d + 2 = -2*b - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10442239*o**3 + 5221182*o**3 + 5221066*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q + 3. Let s(z) = 2*z**2 - 1 + q - 6 + 3*z. Calculate the remainder when 91 is divided by s(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a - 30. Let g be n(-9). Calculate the highest common factor of 28 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 35?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 17 = 5*v. Suppose -3*w = 7 + v. Let c = w - -8. Solve -r - 3*r - 20 = c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3078?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*8\/42*(-30)\/632*10\/25?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 243. Let c(k) = 5*k - 1218. What is 2*c(f) - 11*p(f)?\nAnswer: -f + 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44435 + 40?\nAnswer: 44515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 158, 331, 4, -1.7?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -1 - 1\/(5\/(-55)). Let q(y) = -y**3 + 11*y**2 - y + 13. Let x be q(s). What is the greatest common divisor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.24794 - -1.14794. Suppose 0 = t - 2*o + 5, 5*t - 5*o + 13 = -7. Let s be ((t\/2)\/(-1))\/3. Which is the nearest to 0? (a) -2 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(5) + 2))**2.\nAnswer: -432 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) -19 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001628 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.15 and -0.2.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9295 and 1540?\nAnswer: 260260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(425168\/(-132865)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/2 (b) -0.4 (c) 9621\/5 (d) -0.5 (e) -2\/7 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.586 + 0.386. What is the smallest value in g, -0.4, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:07 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 22*k**2 + 40 - 77.\nAnswer: -22*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 2*i - 2. Let l be j(-2). Suppose n - 30 = 5*w, n - l*w = -0*n + 15. Which is the closest to -1? (a) n (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 47, 79, 115?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -1\/5 (c) -4 (d) -2\/7 (e) 2 (f) 6 (g) 28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = f, 99 = -5*u + 3*f. Let i = u - -30. Let r = 0 + i. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000282910154 rounded to 7 dps?\nAnswer: -0.0002829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1795 and 9624790.\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/((324\/18)\/(-1296))*(-2)\/(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13742283?\nAnswer: 3, 47, 97463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 2. Which is greater: 2\/5 or o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*q + 2032 - 519, -4*q = n - 751. Solve -748*l = -n*l - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5 + 34896*f**4 + 3060297*f**3 - 19199046*f**2 + 38956188*f - 26156808 = 0. Calculate f.\nAnswer: -93, 2, 11719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 983300.7 nanometers in micrometers?\nAnswer: 983.3007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 - 3*r**2 + 4*r - 6. Calculate f(3).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*j = -1144*j + 678*j + 87882 - 17378 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 3*d - 8. Let j be x(5). Let h be (2 + -1 - -274) + 4. Suppose 3*g + z - 99 = j*g, -3*g + 3*z = -h. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 4324*f - 18696976.\nAnswer: -(f + 8648)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 - 3709*g**2 + 7422*g = 0. Calculate g.\nAnswer: -3711, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3042.115 decades?\nAnswer: 30.42115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(24\/(-20)))\/((-33)\/396) + 144\/(-15). Factor 392\/5 + h*o**2 - 56\/5*o.\nAnswer: 2*(o - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 645626236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/6 in -30, 63, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/11, -7, -0.188?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 278 + 403883?\nAnswer: 404161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*p - 2 = 2*p, 4*p + 1 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16843?\nAnswer: 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1655, 2487, 3279, 4013, 4671?\n\"Answer: -3*s**3 - 2*s**2 + 859*s + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faaffsazffzafffffsf. Give prob of sequence zff.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-3)*(7\/(-2) + 8). Suppose -16*q = -20 - j. Solve -c = -2*c - q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-1732)\/68 - 11\/((-935)\/10). Solve 32*s - 49*s = k for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*z - 417*z - 4536 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, o: 11, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6842835 = -211*a + 4197318. Is 321 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 55. Let g be y(-19). Let r = -21 - -20. Which is the nearest to r? (a) -5 (b) g (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.9360439 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1760\/(-60))\/22)\/(2\/(-435)) is divided by 78?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 + 98*a + 2.\nAnswer: 98*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -23. Let b = 47\/2 + j. Let s = 14 - 20. What is the second biggest value in 5, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, t: 2, c: 5}. Give prob of picking 3 c and 1 t.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -15711315 and -15711312 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**22\/f*f)\/(f\/(f*f\/f**(-2\/5)))*(f*f**(-21\/5)\/f)\/f**(-1\/12) assuming f is positive.\nAnswer: f**(1157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(98) - (sqrt(98) + 2 + -5))**2 - (5 + sqrt(200)*2 + sqrt(200) + sqrt(200)*-2 + sqrt(200) + sqrt(200) + 1).\nAnswer: -30*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(3*d - 3*d - d) + d - 7*d + 11*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13797874 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2. Let y(t) = 42*t**2 - 3. Let m(g) = g**2 + 1. Let h(s) = 3*m(s) + y(s). What is l(h(b))?\nAnswer: -8100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21595 + 43195 - 21600 + 9*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14158 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307615 (base 8) to base 3.\nAnswer: -12012022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 0, -m + 6 = 5*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((168\/11760)\/((-3)\/(-54)*-2))\/((-24)\/(-14))\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**(11\/7) assuming g is positive.\nAnswer: g**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 512212219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1\/7, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*a - 15309 = -h, -38260 = -5*h - 5*a. Let r = h + -4006. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 6*r - 3*r)*(-193 - 128 + 446) + 2*r - 2*r - 2*r + (-3*r - 4*r + 5*r)*(-5 + 0 - 2).\nAnswer: -238*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -55.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/2655 and 16\/295.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 13*i**2 + 0*i - 12*i.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**4 - 1983*j**2 + j + 56223 wrt j?\nAnswer: 12*j**3 - 3966*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 118295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d*d*d**(-11)\/d)*d**(-11)*((d\/(d\/((d*(d**(8\/5)\/d)\/d)\/d)))\/d*d*d)\/d*d\/(d**(1\/12)*d) assuming d is positive.\nAnswer: d**(-29\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -25. Find the first derivative of w**3 - 4 + 0 + p + 0 wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1561*o**3 + 1508*o**3 - 2992*o**3 - o**2 to b*o + i*o**2 + m*o**3 + r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -22. Is (-20)\/x - (-4 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4985032 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8748 and 1450224?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -23*u**4\/24 - 103*u**3\/6 + u**2 - 76*u. Does 38 divide d(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12052769 or -12052762?\nAnswer: -12052762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3 + 2134*b - 4922 wrt b?\nAnswer: 6*b**2 + 2134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 2062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/(-36) + ((-1972)\/6 - 0). Let n = z + 378. What is the lowest common multiple of 21 and n?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (11 - 9 - (8 + -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -26, -55, -106, -185, -298, -451?\n\"Answer: -r**3 - 2*r**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 152*m**2 - 1458*m - 1464. What is l(-161)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-27)*18\/12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*f - 529 = 223. Let k be (4\/(-6))\/(1\/3). Let o be (3 + f)*((k - 1) + 3). Solve o = -s - 8 + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**3 - 180*n**2 + 956*n - 780 = 0.\nAnswer: 1, 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*i + 1221, 3*q - 5*i + 768 - 4459 = 0. What are the prime factors of q?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40155, -160431, -360891, -641535, -1002363, -1443375, -1964571?\n\"Answer: -40092*o**2 - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3331 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4897 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206 - -204. Sort 2, 3, -3, 163, o.\nAnswer: -3, o, 2, 3, 163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 121 = 11*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*(sqrt(500) + -3) - sqrt(500)) - (3 + sqrt(500) + 2 + 5 + sqrt(500)*-2))**2.\nAnswer: -20480*sqrt(5) + 132096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 764 + -219. Let k = t - 543. Solve 5*r + f = -26, 8 = -k*r + f - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520 < 105522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + 57*i + 36. Let g be m(19). Suppose 14448 = g*a + 7*a. What is the highest common divisor of 84 and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*h - 49839 - 3167. What are the prime factors of h?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40050 divided by 6675?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600) + sqrt(3600)*1 + sqrt(3600) - sqrt(3600))\/(sqrt(1728)*-3).\nAnswer: -5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 18. Let q(o) = o - 2. Let c be q(b). Let u = c - 1. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011 + -1111110011?\nAnswer: -10011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6611257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*q + 465*q - 21 = 2*a, -3 = 2*q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57287 + 57335 - 1214*y**2 - 114622.\nAnswer: -1214*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**3 + 167*b**2 + 8*b + 105. What are the prime factors of k(-33)?\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-36)*-3)\/((36\/(-264))\/(315\/(-77)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**3 - 158*r**2 - 79*r - 27. Let q be l(40). Let h = -4 - -6. Solve 2*x = 5*p - h*x - q, -p + 14 = 3*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 + 8*t**2 - 36*t - 16. Determine l(-6).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111877, -111875, -111873, -111871, -111869?\nAnswer: -111867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -270*y + 248. Let b be s(0). Is b <= 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002129 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001605 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)\/((-2)\/(-2)). Let a(k) = 19*k**3 - 8*k**2 - 28*k - 4. Let w(q) = 15*q**3 - 6*q**2 - 21*q - 3. Let i(x) = -3*a(x) + 4*w(x). Determine i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 9. Suppose 0 = -2*a + 2, o = 2*t + 3*a - 9. Is 5 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.5 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*z = a - 359*z - 8, 3*z - 11 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 533*t**3 - 270*t**3 + 914*t**2 + 2*t**4 - 263*t**3 - 1 to the form v*t**3 + c + l*t**4 + s*t + y*t**2 and give y.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 - -1) + (2 - 5). Let x = c - 7. What is the units digit of x + (-1 - -2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c**2 - c**2)*(0 + 0 - 2)*(-6*c**2 - 6 + 6).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 733387631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -69, -101, -131?\n\"Answer: z**2 - 37*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 5*k**2 - 8*k - 3. Let a be n(-6). Suppose a*h - 50 = 7*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*z + p + 25597 = 203*z, 0 = 2*z + 3*p - 25601. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.06 (c) 7224 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 8*l**2 - 10*l - 7. Let q be n(-9). Suppose -j - 2*j = q*f - 11, -2*f - 4 = -2*j. What is the second derivative of 20 + 4*p**j - 20 + p wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3728712 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1580.39 or -1826?\nAnswer: -1826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = -7. Let s = 6 - h. Suppose -s = 4*u - 2*i - 12, i + 13 = 4*u. Calculate the least common multiple of 10 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1300*n + 1309*n = 0. Let x(v) be the third derivative of -1\/270*v**5 + 28*v**2 + 0*v**3 + n*v - 1\/54*v**4 + 0 + 1\/540*v**6. What is f in x(f) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 132397 (b) 4\/3 (c) -8\/69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18416*c. Let p(v) = 11*v**2. What is m(p(l))?\nAnswer: -202576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*h*o**3 - 113726*b**2*h*o - 5*b**2*h + 115*b*h + 800*b*o**3 - h*o**3 wrt b?\nAnswer: 2*h*o**3 - 227452*h*o - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5621814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m + 3*m - 15*m + 72*m**2 to k*m**2 + z*m + i and give k.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 greater than -159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/3 - 9*m**2\/2 + 6*m + 1. Let d(n) = -6*n - 27. Let x(j) = -6*d(j) + 17*l(j). Let c(v) = -v. What is c(x(g))?\nAnswer: -2*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -1. Factor m*t + t**2 - 3*t - 2*t.\nAnswer: t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72565 is divided by 110?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1657, 2769, 3881, 4993, 6105?\nAnswer: 7217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 5*a + 529 = 0. Suppose -5*n = r - 71, 4*r = -n + 6*r + a. What is the remainder when 95 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2040 and 30474030?\nAnswer: 121896120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.024, 5030, -1\/2, -2, 3 in ascending order.\nAnswer: -2, -1\/2, 1.024, 3, 5030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1564920\/1323)\/((-2)\/1575). What is i rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 225 - 70. Let o = 27 - p. Let t(l) = -l**3 - 9*l**2 - 15*l - 7. Let r be t(-7). Which is greater: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5 (b) 440 (c) -0.2 (d) 5.8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.2112 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 26. Let z = -10 + 15. Put 2, z, n in increasing order.\nAnswer: n, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*b = -0*b + 4, -3*b - 6 = 0. Sort -5, 4, v in decreasing order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/1)\/((-7)\/(-49)). Is n less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 448*a**2*d**2 - a - 32*d**2 wrt a.\nAnswer: 896*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381830 - -379947.17. Let x = t + 1895. What is x rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, 27, 1\/32, -0.3?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 463 - 273. Let h = 190.174 - y. Round h to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 7 + 5*v**2 - 6*v + 2*v**2 - 7*v + 5*v. What is the remainder when (-2 + 3)\/(2\/22) is divided by a(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*b + 107*b + 67*b + (0 - b + 0)*(-9 + 5 - 3) + (2*b + 3 - 3)*(-1 - 1 + 0).\nAnswer: 125*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -3 (c) -35\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 6*z + 4. Let p be s(-4). Let f = 17 + p. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-2)\/((3 - 3) + -2). Find the second derivative of 11*j**3 + 2*j - 6*j - 7*j + 17*j**v wrt j.\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skf when three letters picked without replacement from {p: 3, b: 3, k: 2, f: 4, s: 1, m: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 333264 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -13. Let v = r - -34. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 11\/(77\/(-35)))*4\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18664378 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 3*v - 2*v**2)*(5*v**2 + 4*v**2 + 6*v**2) + (3*v - 4*v + 0*v)*(-4*v**3 + 3*v**3 + 0*v**3) as j*v + s*v**3 + r*v**4 + t*v**2 + k and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.2? (a) -3\/2 (b) 4 (c) 0.6564\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/495729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 164. Suppose -i - 14 = -2*m, -3*i + 0*i - 37 = -5*m. Let y = m + s. Put -5, 4, y in decreasing order.\nAnswer: y, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 167*b + 8. Let a be o(11). Let j = 4564 - a. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 0 - 3 - 0. What is the remainder when 13 is divided by (1 + j)\/(1\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-96)\/160 - 34\/10. Let q(p) be the third derivative of p**5\/30 + p**4\/8 + 5*p**3\/6 - p**2 + 4*p. Calculate q(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -621 - -616. Let u(r) = -3*r - 18. Give u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/143 or 8\/241?\nAnswer: 8\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -50. Suppose 4*p = -15 - 13. Let i = l - p. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -27*q + 58 + 426 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1044 and -2?\nAnswer: -2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15274189, -15274192, -15274197, -15274204, -15274213, -15274224, -15274237?\n\"Answer: -x**2 - 15274188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -19*j**5\/20 - 11*j**4\/12 - 168*j**2. What is the second derivative of w(k) wrt k?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/14 - 4*d**3\/21 + d**2\/7 + 9. Factor c(h).\nAnswer: 2*h*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4401 and 6939.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.147. Let a = b - -0.053. Suppose 5*z + 235 = -5*f, 0 = -5*f + z - 141 - 118. Is a < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/8 and -13\/61080.\nAnswer: 61080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*o)*(683 - 8748 + 2693 - 8126).\nAnswer: 40494*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.384 - 0.384. Put -4, u, 0.1, 27 in descending order.\nAnswer: 27, 0.1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**2 - 5*v. What is the units digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaapaappapaaaaua. What is prob of sequence apu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -33.04. Sort n, -0.2, 2 in ascending order.\nAnswer: -0.2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 4. Let v be 0\/(-1) + u\/2. Suppose -3*h - 5*f + 4*f = -10, h - 15 = 2*f. What is the nearest to v in 0.3, 0.1, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 37*b**2 - 7*b - 15. Let r(v) = -34*v**2 + 7*v + 17. Determine 6*r(d) + 7*s(d).\nAnswer: 55*d**2 - 7*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9*l + 140 = 0. Calculate the remainder when 82 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 460 or 459?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l + 4. Let n be m(-2). Calculate the greatest common factor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239333633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19561 - -26251. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -0*n - 5*n + 5, -n = -5*w - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 3, d: 4}. Give prob of picking 2 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6089 is divided by 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6150 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: Calculate the smallest common multiple of 54792 and 46992.\nAnswer: 107282736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -285, -2, 2215, 5 in decreasing order.\nAnswer: 2215, 5, 2\/7, -2, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19702 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 531 - 611*g - 1042*g - g**2 - 2699*g - 531 to the form w*g + z + b*g**2 and give w.\nAnswer: -4352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = -3*t + 40, -12*b + 15*b - t = -11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naaa when four letters picked without replacement from nnaaan?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 517921?\nAnswer: 517921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -20*g**2. Let r(v) = 6*v. Let t(o) = 2*o. Let j(f) = -r(f) + 6*t(f). Give m(j(d)).\nAnswer: -720*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 153, 155, 147, 123, 77, 3, -105, -253?\n\"Answer: -k**3 + k**2 + 6*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 33 + (5 - (-1 + -7 + -100 + 106)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**2 + 16*a - 13. Let v(n) = -9*n - 21*n**2 + 27 - 26*n + 4*n. Let u(h) = 5*m(h) + 2*v(h). Is u(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1266, 1284, 1298, 1308?\nAnswer: 1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 < 333\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735387183.\nAnswer: 3, 81709687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 + -112. Suppose -8*h + 3*u = -7*h - n, 49 = h - 5*u. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 1847906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3569\/34168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3, -149*m = 3*x - 153*m + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 27. Suppose -4*r = -z*r - 5*j + 3, 3 = 3*r - 2*j. Suppose 0 = -r*n + 9 + 234. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6 + (-2774)\/(-2409)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -27)*(-1434)\/(-90) + -16?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -7, -0.4, 0 in decreasing order.\nAnswer: 0.07, 0, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*v = -11 + 2, v = 4*y - 15. Suppose -4*m + y*o - 17 = -7*m, -5*m + 2*o = -11. Solve -j + z - m = -7, -3*j + 4*z = -13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1638\/(-35))\/((-3)\/(-60)*4). Let v be 3 + 0 - (-7740)\/(-18). Let p = l - v. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56120 divided by 56120\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 53 in descending order.\nAnswer: 53, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from iipiipii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -262157 (base 8) in base 13?\nAnswer: -326c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.58 - 30.02. Let u = 32.6 + r. Which is bigger: 0.02 or u?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111000011 (base 2) to base 16.\nAnswer: bc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 8. Let z(w) = 8 + 2 - 17 + k - 13*w. Give z(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4358 - 4369 - ((0 - -69) + -1).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**6\/30 + 5*h**2 - 10*h. Differentiate x(l) with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 5*d - 1. Suppose 4*p - 7*z + 39 = -17, 4*p = 4*z - 56. Let y(g) = 4*g**2 - 24*g + 4. What is p*j(q) - 3*y(q)?\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvy. What is prob of sequence yv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1694.0709 * -0.4.\nAnswer: -677.62836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12628967.28 rounded to the nearest 1000?\nAnswer: 12629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000010110100100111 - -101?\nAnswer: 1010000010110100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 116, 289, 572, 989, 1564, 2321, 3284?\nAnswer: 4477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:53 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73, -140, -197, -238, -257, -248, -205, -122?\n\"Answer: c**3 - c**2 - 71*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126915983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.97867 or 10\/71?\nAnswer: -0.97867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 140, 147, 156?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323167147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1377 and 550341.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*j**5 + j**4 - j - 52 wrt j.\nAnswer: -2760*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 15*l**2 - l + 9. Let j(m) = 2*m**3 - 17*m**2 - 2*m + 8. Let u = -42 + 44. Let s(t) = u*j(t) - 3*h(t). Factor s(z).\nAnswer: (z - 1)*(z + 1)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6 and 23\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-5)*((-33)\/(-44) - 1) + -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/30)\/(14\/(-12))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7845.411 nanograms in micrograms?\nAnswer: 7.845411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15286083 to the nearest integer?\nAnswer: 3910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3)*(-3)\/2)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*t**2 + 77*t**2 - 305*t**2 + 73*t**2 + 76*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qqgzzzqzqguqqzqzzq?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2 and -5\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79242, -77381, -75520, -73659?\n\"Answer: 1861*v - 81103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10330650 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = 6*v. Let g be (v\/6)\/(8\/(-12)). Which is the second smallest value? (a) -1\/4 (b) g (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5*l + 399783*g**3*l - 16*g*l + 2*g + 3*l - 122 wrt g?\nAnswer: 40*g**3*l + 2398698*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115207 by 2.\nAnswer: -115207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7863 + -7792.7. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/368 and -43\/11884.\nAnswer: 1093328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13203020057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -0.25. Let v be 45\/(-63) + (-10)\/35. What is the second biggest value in h, 0.04, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*d - 143*d - 150*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (247\/133)\/(4\/(-8))*63\/(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845813107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 495265, 990523, 1485781, 1981039, 2476297, 2971555?\n\"Answer: 495258*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243378, -486706, -730034, -973362, -1216690?\nAnswer: -1460018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/4 + 7050\/1128.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*y - 37 + 227 + 485 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4425788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-75))\/(4\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.1, -2, 413, -11\/5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + -7. Let v(o) = -o**3 - 9*o**2 - 4*o + 15. Let x be v(-8). Is b at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**7\/14 - 3*d**6\/2 + 93*d**5\/10 - 17*d**4\/2 - 63*d**3\/2 + 147*d**2\/2 + 701*d. Let l(v) = 0. What is v?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.49 and 295?\nAnswer: 277.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030 divided by 24.\nAnswer: -515\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1*n)*n*n*n*n**2)**(-5\/13)*(n*n**(1\/2)*n*n*n*n)\/(n\/(n**6*n))*n**4*n*n**(-1) assuming n is positive.\nAnswer: n**(363\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(425))**2 + ((sqrt(102)*-3 - sqrt(102))\/sqrt(6)*6)**2.\nAnswer: 60*sqrt(17) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -218266.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(44) + (sqrt(44) + 1)**2 + sqrt(264)\/sqrt(96) + -1 + -2*-6*(sqrt(44) + sqrt(44) + ((sqrt(44) + -1 + sqrt(44))**2 - sqrt(44))*-2 + sqrt(44)).\nAnswer: -4208 + 637*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 + 4.86. Let j = t + -4. Is -4 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b - 26*b**3 + b + 4*b - 26*b**2 wrt b.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2)*(2 + (-2 - 1)). Let x(w) be the second derivative of i + 4*w - 1\/3*w**3 + 0*w**2. Let p(q) = -2*q. Calculate x(p(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c**2 + 38*c + 157. Calculate the remainder when 2126 is divided by q(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 - 5*x + 5. Suppose -f + 3 + 1 = 0. Let b(h) = -4*h**2 + 1 - f*h + 3*h**2 + 2*h + 1. Give -10*b(d) + 4*o(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d + 2 = -4*o, -2*o = -4*d + 4. Suppose 5*h - 4*l = 8, d*l - 15 = -2*h - 1. Suppose -h*y - 188 = -6*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*d + 4\/5*d**4 - 4\/5*d**3 + 0 - 4\/5*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1568 + 200 = -6*p. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 8\/3 (c) -0.09 (d) 2\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**5 + 115*m**4 - 665*m**3 + 965*m**2 - 420*m = 0.\nAnswer: -28, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 - (-5 + 2)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z = -252. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -441 and 0.4.\nAnswer: -440.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -190 (b) -1 (c) 0 (d) 0.5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**3\/3 - r**2\/2 + r + 4. Let b(i) = 4 - 5 + 4*i - 4*i**2 - 2. Let g = -11 + 16. Determine g*f(m) + b(m).\nAnswer: m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179 - -4115\/23. Let b(v) = -v - 2. Let h be b(-3). Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 2, r: 3, y: 5, x: 6}. What is prob of sequence ya?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from idwwwwi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(0 + 0 - k) + (-1 - 1 + 3)*(39*k - 19*k + 77*k) in the form c + x*k and give x.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 3 - 3)*(0 + r + 0) - 7 - 8*r**2 + 7 in the form f + n*r + p*r**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 + 23854*d**3 + 128 + 69*d**2 - 23854*d**3 wrt d.\nAnswer: 4*d**3 + 138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqmzmmlczvz. What is prob of sequence mzl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 257878.\nAnswer: 3\/128939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -3\/139 (c) -5 (d) -2\/953 (e) -1\/2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265298 + -2394242\/9. Let s = v - -729. Which is the nearest to 7? (a) 4 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k + 57. Calculate v(19).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + 681*c - 681*c - 2*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 1945, -11, 3, -4.\nAnswer: -11, -4, -3, 3, 4, 5, 1945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-128)\/256)\/((-3)\/(2 - -4)). Which is the closest to h? (a) 3 (b) 4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5778 - 121920 - 30774 = -18*c. Does 35 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 12*k - 16. Let r be i(11). Which is the biggest value? (a) 3 (b) -2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**2 - 8*v**2 + 7*v**2 + 5*v**2.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/136)\/((27\/(-48))\/((-3)\/(-28)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2, -36, 126, 10 in decreasing order.\nAnswer: 126, 10, 4, 3, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 85921\/20636 + (-3)\/7. Let v = k + 1\/67. Is v greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 34, 70, 118, 178, 250, 334?\n\"Answer: 6*h**2 + 6*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 + 2*q - 6 + 8.\nAnswer: 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1b48 (base 15) to base 11\nAnswer: -44a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3585793 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19297 + -11457. Let v = y + -4310. Suppose -8805 = 5*l - m, v = l - 3*l + 2*m. Round l to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 5 = -27. Solve 0 = -s*h + 6*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7243126 seconds?\nAnswer: 724312.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a965b2 + -d?\nAnswer: 2a965a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*t**3 - 388533*j**3*t - 436*j**2*t**3 + 98*t**3 wrt j?\nAnswer: -12*t**3 - 2331198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 5}. Give prob of sequence jrrj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6571861 and -0.56.\nAnswer: -3680242.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/2 + -27\/8. Let p = 1.631 - -0.479. Let f = -0.89 - p. Which is the second biggest value? (a) i (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*i + 37*i + 39*i)*(8*i + 29*i + 19*i + (0 - 2 + 0)*(2 - i - 2)).\nAnswer: -116*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 25, -6*u + 2 = 3*m - u. Let t(v) = 7*v - 16. Let s be t(4). Suppose 0 = -6*a + m*a - s. Calculate the remainder when 9 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let f(y) = -y + y - 4*y + q*y. Let r(p) = 5*p**2. Give f(r(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + g**2 - 1015*g + 1078*g in the form x*g + l + n*g**2 and give x.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c = -33*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15817 is divided by 3935.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*y - 1247*l + 1243*l, -2*y + 18 = 3*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -101.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6.24 times -5\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 470\/9. What is the nearest to -0.3 in x, -5, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 481 by -34.\nAnswer: -481\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2*d**(-1) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -116363?\nAnswer: -116356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 62. Solve -s*n + 11 = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 24*j**3 - 4*j**2 - j + 11. Let o(m) = -m**3 + m**2 + m - 2. Let d(f) = -4*o(f) - x(f). Let z(a) = -a**2 + 2*a + 1. Let r be z(3). Is d(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*b**2 - 44*b**2 - 20*b**2 + (3*b**2 + 3*b**2 - 5*b**2)*(4 + 2 - 2))*(1 - 3*b - 1).\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14294198 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: Let u(a) = a**2 + 7*a - 8. Suppose 6*o - 5*g + 23 = 3*o, -5*g = -o - 11. Determine u(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)*r)**(-16)\/(r*r*r*r**(-1)*r*r\/r**4))\/((r**3)**(-18))**4 assuming r is positive.\nAnswer: r**(632\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 29\/5, 5\/153, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2)*o))\/o)**(-2\/11)*(o*o*o**(3\/7)*o)**(-29) assuming o is positive.\nAnswer: o**(-7670\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 47, -23, 3 in decreasing order.\nAnswer: 47, 3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177069891*y**6 - 10043*y**2 + y + 11758 wrt y.\nAnswer: -21248386920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 - v. Let i(f) = -3*f + 3*f**2 - 3 + 1 - 8*f**3 + 4 + 7*f**3. Let q be i(2). Let r be (-2 - q - -2) + -2. Determine b(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from rrjrjrjzrjrjz.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -c74963 (base 13) in base 12?\nAnswer: -1690175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l + 3. Let a be i(1). Suppose 3*b - 87 = a*b. Let n = -75 + b. What is the highest common factor of n and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1143*m + 2194*m + 1574*m.\nAnswer: 4911*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 1081*j - 2158.\nAnswer: -(j + 2)*(j + 1079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 5. Let f be n(-5). Suppose f = -4*r - 30 - 18. What are the prime factors of (-174)\/r - (-2)\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3603 to 2 dps.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*c + 6946 = -268*c - 412*c for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 283.3 + -283. Which is the nearest to -0.1? (a) 2\/37 (b) -2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 3*b + 7, b + 19 = 5*t. Let k = -1773\/34 - -105\/2. Which is bigger: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 377910 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 293?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 137\/(2\/(-4 - 2)). Let d = t - -818. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b - 12420 = 788*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 + l**3 + 9*l**4 - 2*l + l**2 - 7*l**4 to the form w + b*l + p*l**2 + d*l**4 + h*l**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0.66, -2\/31, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49147, -98292, -147437, -196582, -245727, -294872?\n\"Answer: -49145*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 388*o = -392*o - 38, 3*o = 2*a - 37. Suppose 20\/11*f - 2\/11*f**a - 18\/11 = 0. Calculate f.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106809 take away 0.2?\nAnswer: -0.306809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eykwwbwenwewb. Give prob of sequence kb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - -1075134?\nAnswer: 1075165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnbggbgnngnbknqbnggg. What is prob of picking 1 q and 1 b?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:18 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/34)\/((-180)\/(-225)*10\/(-4)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**4 + n**2 - 5*n. Let g be 2*(-5 + 2)\/6. Let i(j) = -j. Let u = -3 - -8. Let w(s) = g*k(s) + u*i(s). Find the third derivative of w(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/21)\/((-40)\/(-12))*20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttzrttrtt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239655 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-2)*2\/3. Let q(m) = l + 2*m**2 + m + 2*m - 3*m. Calculate the remainder when q(-3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1 + 98*w - 5 - 126*w + 3. Suppose -o + 3*o = -4. Is z(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 955 - -756. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152432764 to the nearest integer?\nAnswer: 12346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*j - 28, -2*j - 2*j + 2*d = 44. Let b(c) = c**2 - 13*c - 21. Is b(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 258 = 59*d - 173 + 11, d = -2*d + 5*u - 14 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 1. Let b(j) = j + 1. Let r(q) = -b(q) + f(q). Let z(l) be the second derivative of l**4\/12 - l. Determine z(r(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 87 - 36 - (-17 + 1) - (-4 + (-3 - -3))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19198307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2462973050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -522621*h**2*o**2 - 3593288*h**2 - 3*h*o**3 wrt o.\nAnswer: -1045242*h**2*o - 9*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 9. Suppose 5*v + 20 = 0, -3*f - y = v - 6*v. Let r = f + 28. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + -1 - (-7 + 1 - -10)) + -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + -2*sqrt(76) + 4 + 2 + 2.\nAnswer: -4*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n. Let r(u) = -17*u**2 + 0*u**2 + 45*u**2. What is r(q(k))?\nAnswer: 3388*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**3 - 13*g**2\/2 - 4958. Let p(u) be the first derivative of -3*u**2\/2 - 3. What is i(p(s))?\nAnswer: -27*s**2 + 39*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.8 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.281 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 0.96?\nAnswer: -3.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let v be q(-2). Let s be 2\/(-8)*v*0. Suppose -2 = c - s*c. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)*s)\/s)**(-32))**(2\/13)\/((s*s**(-7)*s)\/(((((s*s**(-2\/9))\/s)\/s)\/s*s)\/s)*(s*s\/(s*s**4*s))\/s**(-9)) assuming s is positive.\nAnswer: s**(316\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10408138 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = u + 2, 3*o - 2*u = -37 + 38 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162564 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/143250 and 3\/206?\nAnswer: 14754750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = d - 14, 19 = 2*d - 3*x + 2*x. Let r be 9\/(-6) - (-412)\/d. Suppose 56 = 2*s - r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211421 is divided by 3772?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 871 - 279 = 0. Let u = -100 + i. Find the second derivative of 130 - u - 3*q - 6*q**3 wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0 + 0*a + 1\/12*a**4 - 5*a**2 - 1\/12*a**5 + 1\/6*a**3. Suppose j + 4*j = -5. Determine o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32466*o*r*s**3 - o*r*s**2 + 3*o*s**3 - 27*r*s + 2*s**3 + 1116428*s wrt r.\nAnswer: 32466*o*s**3 - o*s**2 - 27*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*51\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1477256488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -12*t + 6. Solve 6 = -2*f + t*p - 0*p, 2*p = 4*f + 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22250028731 take away -303?\nAnswer: -22250028428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 3913?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315710 by 6.\nAnswer: -157855\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 + 30*z + 30. Let g(x) = -7*x**2 + 30*x + 31. Let i(t) = -5*g(t) + 6*u(t). Factor i(c).\nAnswer: 5*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(325) + -1 + 2.\nAnswer: 6 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 24. Suppose 2*n = 4*i - 54, i - 4 - 8 = -n. Let t be d(i). Let m(o) = o**2 + 9*o - 1. Let z be m(t). Solve -4*v - 5 = -z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n + 17. Let u be l(-3). Let c be (u\/(-2))\/(9 + -8). Suppose -f + 1291 = -c*h, 3*f - 2*h = 623 + 3250. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 9*v**2 - 21*v - 1. Let d be x(-5). Put d, -5, -0.3, 2\/19 in increasing order.\nAnswer: -5, -0.3, 2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1, -75, -5 in decreasing order.\nAnswer: 0, -1, -3, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37251665567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jllljllulllzllllo. Give prob of picking 1 j and 2 l.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, b: 2}. What is prob of sequence br?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27 - -56)*((-2)\/(4\/(-10)))\/1. Solve -12*v + 133 - q = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53291426 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 678 + -56. Suppose -2*q - 1041 = -3*x - 146, 2*x - c = -5*q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/10*2 + 76. Suppose -z*j + 29*j = 1804. What is the biggest value in 3\/7, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*c**4 + 2*c**3 + c**2 + 8202*c + 39071088.\nAnswer: 308*c**3 + 6*c**2 + 2*c + 8202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11067*13.7.\nAnswer: -151617.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1394360 + -927759. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -12*l. Let w be 37 - (-9)\/3 - l. Let d = 68 - w. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 352113 - -323?\nAnswer: 352440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:08 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 996\/7 - 142. What is f in -w + 4\/7*f - 2\/7*f**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79016858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720533 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -5.2. Let n = i + 4. Let r = -0.3 + n. Do 0 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*(-51)\/34. Let l be ((0 + -2)*(-11)\/22)\/m. Solve 11 - l = 5*i - 5*h, -4*h = -2*i + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, u: 4, c: 1, z: 1}. Give prob of picking 1 u and 1 n.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 9 = 3*b, 0 = 221*b - 216*b + 3*t + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from lceleeedell.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + (486\/70 - -1). Let g = 10 + -11. Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = 13. What is the biggest value in h, 0.2, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7486999 or 22460996\/3?\nAnswer: 7486999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2652.01*1\nAnswer: -2652.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.19 - 1.29. What is the second biggest value in o, 0.4, 6\/17, -1\/3?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*i**2 - i + 21\/4 = 0. Calculate i.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/35)\/(-2))\/(2\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 10. Differentiate 4 + b + 4*d**3 + 2 with respect to d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((1*sqrt(36))\/sqrt(3))*-1.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**5 + 5*h**5 - 4*h**5)*(28 - 409 - 41).\nAnswer: -422*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 574 and 1189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -10. Let p = g - -13. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 2*w**2 + 2*w - 3. Suppose 5*q + 3*i + 2*i + 5 = 0, -2*i = 6. Let x be c(q). Let z(u) = 0 + 0*u - x - 2*u. What is z(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = y, x - 2*y = -x + 14. Suppose 10*a - 222 = x*a. Let u = -75 - -184. What is the remainder when u is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekom when four letters picked without replacement from mokse.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.551 - 0.049. Let s = -6.5 - w. Let r = 16 - s. What is the biggest value in r, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y**2 + 17528*y - 58659. Calculate b(-838).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.000153 days in nanoseconds?\nAnswer: 172813219200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:05 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 7. Suppose -w + 55 = -d, 0 = -3*d + 2*d - 5*w - 85. Let r = d - -58. Let s(c) = 2. Let f = 13 - 6. Calculate f*s(o) + r*b(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshzshhsszhzhhshzs. What is prob of sequence szz?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a + a + (1 - 1 + 2)*(3 - 3 + a) + 0*a - a - 2*a + (0 + 2 - 1)*(-a - 3*a + 2*a) + 4*a - 2*a + 0*a + (1 - 3 + 3)*(-a - 2*a + 4*a) - 2*a + 2 - 2.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*w + 195055 - 32604 = -174484. Is w at most as big as -863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 637*y**5\/5 - 3*y**3 + 19*y + 451. Find the third derivative of h(z) wrt z.\nAnswer: 15288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26081, 26092, 26103?\n\"Answer: 11*t + 26070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.16 and -344850299.\nAnswer: -344850296.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11728 (b) 0.213 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.77 - -0.8. Let q = t + -0.13. Let w = -0.6 - q. Which is the biggest value? (a) -2 (b) -3\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.028? (a) 0.09 (b) -2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-11 + -3) - -4. List the prime factors of (12\/a)\/(18\/(-420)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -5*m - 304581. Suppose 2*a = -n - 3*a + 8, -5*a + 16 = -3*n. Let x = -5 + 8. Let p(d) = d - 6. Calculate n*p(v) + x*c(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -96.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:28 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)\/h)**(-17)*h*h**(-4\/3)*h**(2\/3)*h*h)**(-40) assuming h is positive.\nAnswer: h**(-1504\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.32603 millilitres in litres?\nAnswer: 0.00532603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.7 - -130362195?\nAnswer: 130362921.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/15*225\/(-18)*(-2 - 65\/(-25))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 2 + 8*u + 2.\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 627660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2)*m)**(-14\/11)\/(m**(-3)\/(m\/(m*(m**(4\/9)\/m*m)\/m))))**(-12) assuming m is positive.\nAnswer: m**(608\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27498, -25961, -24424, -22887, -21350?\nAnswer: -19813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4 - -2) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*c - 53989 = 140761. Calculate the remainder when 3089 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/9 - 2*f**3\/27 - 2*f**2\/9 + 2*f\/9 - 10. Factor y(l).\nAnswer: 2*(l - 1)*(l + 1)*(2*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - q + 116 = 0, -z + 290 = 4*z + 5*q. Suppose z = 2*i - i. Suppose -55 + 160 = 7*d. What is the remainder when i is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*b = 3*g + 35, 2*g + 5*b = -15. Let i be 0 - 9\/((-495)\/g). What is the closest to -0.05 in -1, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b + 82*b - 229*b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 5:45 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1230601188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1211040443 - 0?\nAnswer: 1211040443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3709\/(-4))\/((-10)\/40)?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 4*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = -8. Let c be 10\/3 - p\/6. Suppose -2*h + 68 = c*s + 2*h, 4*h + 65 = 3*s. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - -2) + (-4 - (15 - 28)). Which is greater: 32\/925 or t?\nAnswer: 32\/925","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-43)\/5 - 6\/(-10). Which is smaller: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 89631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + sqrt(832)*1 + sqrt(832)*-2 + 4 + 4 - (sqrt(832) - (-2 + sqrt(832))*6 - (2*sqrt(832) + -5))))**2.\nAnswer: -1728*sqrt(13) + 30276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68760036 to the power of 1\/2, to the nearest integer?\nAnswer: 8292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + s**2 + 5*s - 2. Let q be m(4). Let d = 94 + q. Let u = -44 - d. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 1}. What is prob of sequence jj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 45.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 5 = 4*o + 3*w, 5*o = -w + 13. Solve 0 = -q - o*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 393022\/(-56)) + (-5)\/4.\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 11265026?\nAnswer: 11265013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2112071 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175 + 43 - -105) + -1 + -5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 4344, -1558?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1102, 1110, 1132, 1174, 1242, 1342, 1480?\n\"Answer: i**3 + i**2 - 2*i + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -148?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 3:50 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 10)*(-7)\/(-3). Let j(x) = 1 + 5 - l*x - 1 + 8*x. Calculate j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m - 3. Let b be w(2). Let d = b - 4. What is the second derivative of k - 4*k**3 - d*k**5 + 4*k**3 wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1442 (base 6) to base 2\nAnswer: -110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 18*m. Let h = 18 + -34. Let o be i(h). Let n = -26 - o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 48174*l + 240884. What is b(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 131, 297, 465, 635, 807?\n\"Answer: j**2 + 163*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 325 - 36)*(-4*j - 2*j + 4*j).\nAnswer: 766*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(1\/(-22)). Let y(c) = -k + 1 + 2*c - 9*c + 1. Is y(-6) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + a**2 + 3. Let y be f(0). Suppose 0 = -5*i + y*c + 318, 5*i = -c + 2*c + 326. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v + 14*v + 14*v + 12*v - 153*v**2.\nAnswer: -153*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -244 - 7886?\nAnswer: -8130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3160)\/(-237)*(270\/(-10))\/9.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 15*o = 80, -71*v = -72*v - 12*o - 46 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*d - 1942*d + 6339 + 13401 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9171 - t - 9124 - 9176 + 27534.\nAnswer: -t + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 3007, 6290, 10761, 16420?\nAnswer: 23267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14237\/13 + 1095. Let l = -2 - -2.2. Which is the closest to 1? (a) -0.1 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -990 divided by 3\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9)\/(((-56)\/(-36))\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 - 9*j + 1. Let m = -78 + 80. What are the prime factors of y(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a week in minutes?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -35.5. What is y rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 7:23 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 42. What is the remainder when 83 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 4 - 1)*(21*z + 2*z**2 - 1261 + 1261) to the form o*z + j + y*z**2 and give o.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -124?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 5. Let n be u(-8). Suppose 7 = 2*i - 1, n*p + 2*i + 4 = 0. Let x = 8 + p. Solve 28 = -2*o - 0*m + 5*m, -4*o - 5*m = -x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - 7) + 6)*(90 - 86).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*u**3 + u**2 + 7*u - 4 wrt u.\nAnswer: 384*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2 + 5*m + 6. Let u(s) = -630 + 9*s**2 - 629 - 6*s + 1253. Determine -7*o(w) - 6*u(w).\nAnswer: 2*w**2 + w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*p + 213. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089 is divided by 98?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(0 - (-1)\/2). Let d = 17259 + -17255. What is the closest to -1 in d, 0.07, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116 >= 4103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(288)*-1)**2*1 + (sqrt(288) + 3 + sqrt(288)*-2 + sqrt(288))**2 + sqrt(288)).\nAnswer: 24*sqrt(2) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*x = -20, -80*p + 83*p = x - 2. Put p, -5, 1, 3437 in increasing order.\nAnswer: -5, 1, p, 3437","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/72 and 13*81\/192 - (1 + 4).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:03 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let z be (1 - 1) + (-2 - t). Is ((-7)\/(-2))\/((-1)\/z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -33*x**3 - 1452*x**2 - 42*x - 2280. Determine l(-44).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*f + 31*f + 1020*f.\nAnswer: 1419*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 18 = 2*d - 10, -3*d = 2*o - 18. Let m be 25\/((-1350)\/(-72))*213\/2. Suppose 36*j - 358 = -m. What is the greatest common divisor of d and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 2:52 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -36*q**2 + 100*q - 11. Let t = -10 + -1. Let w(y) = -y**2 - 6*y**2 + 11*y - 9 + 7 + 9*y. Let f(r) = t*w(r) + 2*z(r). Factor f(m).\nAnswer: 5*m*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20 and 119\/158390.\nAnswer: 316780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10511807 is divided by 1313975.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4)*-2*-6. Suppose 44 = p - t*u + u, -84 = -2*p + 2*u. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnm when three letters picked without replacement from mmnfm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -m - 17, 2*m + 10 = 2*t - 0*m. What is the second derivative of -32*q + 4*q**3 - 2*q**t + 28*q wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2587\/209 - 135\/11. What is the third biggest value in w, 1, -4, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916*g = 9752 + 6600 + 19372 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 25*m**4 + 165*m**3 - 135*m**2 = 0. What is m?\nAnswer: -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 22756488.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229 + l + 225 - 4737 + 4060 + 223.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5018 and 386.\nAnswer: 5018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1525346?\nAnswer: 457603.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, -5\/2, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 352288, 352458, 352626, 352792, 352956, 353118, 353278?\n\"Answer: -o**2 + 173*o + 352116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131750 (base 10) to base 9.\nAnswer: 220648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllqqhqmhqqhl. Give prob of picking 1 m and 2 q.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 - 3*s**2 + 14*s + 36. Let i be n(-3). Solve -8*j - 16 = -i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (14 - -2)) + (4 - -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*a**2 + 1768*a + 1536.\nAnswer: 4*(a + 2)*(125*a + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -20121341032?\nAnswer: -20121341040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36178 - -36530. What is the least common multiple of n and 8?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18681385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + sqrt(288) - sqrt(288))**2 + -4 + (-1*sqrt(6))\/sqrt(3).\nAnswer: -sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1472*v**3 + 2124.\nAnswer: -4416*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21894998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 114, 171, 266, 399?\n\"Answer: 19*a**2 + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 14 = -2*l, 2 = 2*g + 3*l - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 131*l - 117. Let b(t) = -44*t + 42. What is -8*b(i) - 3*y(i)?\nAnswer: -41*i + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 - 35*n**3 + 20*n**2 + 60*n = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x - 844. Let p be h(-25). Put p, 0.4, -6 in increasing order.\nAnswer: p, -6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**2\/2 + 4*a + 19. Let c be u(3). Let l be (1\/(-4)*0)\/c. Is -1\/2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a**2 - 38*a - 14. Let i be o(-9). Calculate the highest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 111472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 66406\nAnswer: -9\/66406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 46*n**2 - 145*n + 63. Let d(f) = 16*f**2 - 51*f + 21. Determine 17*d(a) - 6*j(a).\nAnswer: -4*a**2 + 3*a - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*48\/(-60)*16\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2 - t**2 - 19*t + 0 - 24*t + 29*t. List the prime factors of s(-12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3924962, -7849922, -11774882, -15699842, -19624802, -23549762?\nAnswer: -27474722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.8 to the nearest integer.\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272165 and 215855.\nAnswer: 6259795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(300)\/sqrt(4) - (sqrt(3) - (sqrt(27) + 2))**2).\nAnswer: -16 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 0 + (1 - (-28)\/12). Find s such that -2\/3*s + s**2 - w = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3441, -3445, -3451, -3459?\nAnswer: -3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-13 - -6)) + (112 - 0 - (54 - 54)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j - 20 = 0, 5*m - j - 3170 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512843106 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -80. Let u be (2*1\/(-65))\/(h\/(-30)). Sort 2, u, 0.3.\nAnswer: u, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159345?\nAnswer: 3, 5, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a - 2 + a - 8*a. Let g be u(-10). Let t = g - 8. Solve t = 5*l + h + 31 - 7, l + 2*h + 3 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249430*d - 110 - 130 = 249550*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, 469, 20?\nAnswer: 469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 10:20 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -65*v + 141*v - 38*v**2 - 76*v. Let n(r) = 4*r. Calculate n(p(k)).\nAnswer: -152*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2427, 2352, 2171, 1836, 1299?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*d - 1 + (-3 + 3 + 4*d)*(52 + 21 - 4).\nAnswer: 278*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 151)*(-1710)\/6555.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 - 1 - 22*j - 5*j**4 - 6*j**2 + 23*j to the form f*j**2 + i*j**4 + x*j**3 + l*j + d and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1846*m - 1897*m + 1122 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110110 - -1011?\nAnswer: -10101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*9\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80884 a multiple of 554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2\/7 - 876*j\/7 + 873\/7 = 0.\nAnswer: 1, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from hepnfmnpeep?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 843161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13302 (b) 9 (c) -9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o + 1. Let n(y) = -y**3 + 7*y**2 - 6*y + 4. Let f be n(6). Let d be g(f). What is the greatest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138.45335 and 2?\nAnswer: 276.9067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxffuxxfu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/60 + m**4\/24 - m**3\/3 - 3*m**2 - 2. Give t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -67. Let m = -12 + 31. Calculate the remainder when r is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10499721*-0.2.\nAnswer: 2099944.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**2*s**3*t + 432*r**2 + 4*r*s**3*t + r*s**3 + 55*t wrt t?\nAnswer: 2*r**2*s**3 + 4*r*s**3 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-20)\/(-4))\/5)\/((-3)\/117). Let l = z + 43. Suppose s = 4*x + 133 + 4, -l*x = -4*s + 536. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*i*q - h*q*u**4 + 13*h*q*u - 2*h - 2*i*q*u + 13*i wrt u?\nAnswer: -4*h*q*u**3 + 13*h*q - 2*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -577\/46 != -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*p**3*s - p**3 + p**2*s**2 - 216*s**2 wrt p.\nAnswer: -48*p**2*s - 3*p**2 + 2*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527775 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*l + 483 + 371 = 71 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.032169730739344 - 95757587.031982730739344. Let m = j + 95757536. Let f = -51 - m. What is f rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-7 - 2) - 7. Put n, 0.2, 4\/3, -1\/2 in decreasing order.\nAnswer: 4\/3, 0.2, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15202918*m**2 - 68350521*m.\nAnswer: -30405836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/1*(-2)\/4. Let i(h) = -h + 14. Let t be i(0). Does 7 divide t*(f + 0 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17562*w**2 - 11 + 1008*w + 1686*w**2 - 5.\nAnswer: -4*(63*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1227640.\nAnswer: 368292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 12. Let m = 0.06 - 0.26. Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 41\nAnswer: -40.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r**2 - 1045*r - 5267. What is q(-81)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -83*x**2 + 5*x + 2. Let d be c(-1). Let v = d + 133. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 13. Is n(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/41 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 182*t - 760.\nAnswer: 2*(t - 4)*(t + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 + -23 - 99 - -23) + 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10704 (b) -1 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1611437 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2\/4 + 16363*f\/4 + 8181\/2 = 0?\nAnswer: -16362, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2097 and 19.\nAnswer: 3.9843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1355 - -55112?\nAnswer: 53535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, p: 2, w: 10}. What is prob of sequence wp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.052034 and -0.22?\nAnswer: -0.01144748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/7)\/(24040\/16828)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 741105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11111?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61083 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 40. Let v be c(11). Let b = -527 - -817. Calculate the greatest common divisor of b and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + t**2 + 1 - 1 - t**2 + (0*t + t + t)*(-t - 2*t + 4*t) + 21*t - 48*t + 916*t**2 + 27*t.\nAnswer: 915*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5918 or -2\/13?\nAnswer: -5918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 1. Let l be 62\/c + (-8 - (-2 - 3)). Let m = l + 39. Solve -2 = -t + 4*r + 1, 0 = m*r + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**3 - 21*d**2 - 22*d + 26. Calculate the remainder when b(-9) is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 9)*(-549)\/(-915).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.59 - -0.21. Let t = 3 - w. Let q = t - 0.3. Is q bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 21 = -2*g, -g - 4 = n - 6. Let s = 4 + g. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 + 167. Solve -3*b + 7 = -2*x + l, 5*b + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 20*t - 80. Factor -5*y**4 + 5*y**3 - 3574 + t*y**2 + 3574.\nAnswer: -5*y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 5, -310, 44, 3 in descending order.\nAnswer: 44, 6, 5, 3, -3, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -339969272 + -4.\nAnswer: -339969276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/48942132 and 68\/21.\nAnswer: 342594924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30176, 60371, 90566, 120761, 150956, 181151?\n\"Answer: 30195*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28632326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 629*f**3 + 10 + 632*f**3 + 7*f as o*f**3 + k + c*f**2 + m*f and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v = -76*v + 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdrujww. Give prob of sequence wrj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2668810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 - 170. Sort n, 43, -1\/6.\nAnswer: -1\/6, n, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-1))\/((9 - 0) + ((-10)\/(-2) - 16))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u**5 + 90255*u**4 + 37868525*u**3 - 50762395*u**2 - 46451070*u - 8442000 = 0 for u.\nAnswer: -1407, -600, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-22 + -1) - 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-16))\/21*(92\/16)\/23*-7?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 - 1392796*m**3 + 31*m**2 + 55*m + 53?\nAnswer: 180*m**2 - 8356776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k - 4*k**2 + 2*k**2 + 6*k.\nAnswer: -2*k**2 - 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/9, 0.03, -0.4, 1 in ascending order.\nAnswer: -8\/9, -0.4, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 4\/19 (c) 2\/5 (d) 3 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -709*-2\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 533071446 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 0.6\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j - 0. Solve m + 15 = j*t, 0 = m + 3*t - 5 - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 7 = 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22157952*j**3 - 244*j**2 - 116*j - 248?\nAnswer: 132947712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 + 8*g + 5. Let b be l(-4). Let z be (0 - 1) + (b - 6) - 4. Let v = z - -2. What is the third biggest value in 3, 1\/5, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12109*v + 51418 - 507347 = -155538 + 341386 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaadaaaaaadddd. What is prob of picking 3 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - (-4 + (-5 + -3 - -9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0 + 0*a**2 + 0*a**2 + 5*a**2 + a + 1. Suppose -3*t = x - 2 - 3, -4*x = -4*t + 12. List the prime factors of i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 101384.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Let p = 2.394 + -2.494. What is the nearest to p in w, -2, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531491 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-40))\/(4\/208). Let d(s) = 16*s - 60. Let t be d(7). Calculate the highest common factor of t and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1127.0635 to 1 decimal place.\nAnswer: 1127.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**6\/120 + f**5\/80 - f**4\/48 - f**3\/24 + 2*f + 3. Let y(o) be the first derivative of v(o). Factor y(c).\nAnswer: c*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3 + (-2 + (sqrt(2736) + sqrt(2736) + -1)*6)*-6)*-2)**2.\nAnswer: -311040*sqrt(19) + 56741801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*q + 33*q. Let p be (-2)\/(-8) - (438\/(-8) + q). Suppose 0 = 3*x - 80 - p. Does 38 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 9. Let b(w) = -6 + w + 1 + 1. Let h(n) = 9*b(n) + 4*i(n). Let y be 1\/(-3) + (-3)\/(-36)*28. Give h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0515963*-2.74.\nAnswer: 0.141373862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(78)*2)\/sqrt(6))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136 is divided by 388.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/10, -10\/7, 14, 0.3.\nAnswer: -10\/7, -0.4, 1\/10, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -1\/24*h**4 + 1\/6*h**3 - 30*h**2 + 7\/120*h**6 + 0*h - 1\/60*h**5 + 0. Calculate s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (0 + -1) - (-7 + 11). Let m be (4572\/(-10))\/(47\/10 + g). Suppose -294 = -9*z + m. What are the prime factors of z?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.323 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 30 - 42. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.36 or 1.2116?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 0.1, 19, 4113?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*a*p**4 - 5701*a*p**2 + 622858*a*p + p wrt p.\nAnswer: -324*a*p**2 - 11402*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -64*x - 3. Suppose -4*b + 36 = -28. Calculate the remainder when q(-1) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-50 + 7 - -4 - (-15 - -3)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhhxwxxxxhxccxxxcxcx. What is prob of picking 2 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222362871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 8*n - 6*n. Solve -4*p - 2*i = -0*i - 28, n = 3*p + 2*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144761 (base 11) to base 7\nAnswer: -1630315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33622, -67276, -100930?\n\"Answer: -33654*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/12 + 5*v**3\/6 + v**2\/2 + v + 1. Let i(y) be the first derivative of h(y). Let k be -2 + (-8)\/(-6)*6. Give i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-2*s**5 + 3 - 3) + (2*s**4 - 2*s**4 - s**4)*(0*s - 11*s - 5*s).\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(3 + -4 - 0). What is the second derivative of -a*l**4 + 10*l**4 - 3*l - 2*l**3 + 2*l**3 wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 10*h - 853 - 4*h + 25*h - 6*h.\nAnswer: h - 853","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-180)\/(-35) - (-12)\/(-14). Let b be (q - 5) + 18\/6. Let l(v) = v**2 - 3*v - 7. Calculate the least common multiple of l(b) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a7 (base 13) to base 4.\nAnswer: -113101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10046 + -10045.9. Which is smaller: -3241 or t?\nAnswer: -3241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**5 + 312*f**4 - 9348*f**3 + 132112*f**2 - 849408*f + 1806336 = 0?\nAnswer: 4, 16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 182084.\nAnswer: -182079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 211225613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(36*n + 3*n**5 - 36*n)*(-3 + 3 - 1).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * 94.\nAnswer: -6298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o + 6 = 0. Suppose -q - 3 = -o*q. Find the third derivative of -3*b**2 - b**2 + q*b**2 + b**4 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 33*i**2 - 85*i**2 + 4 - 2*i**3 to c*i**2 + q*i + m + o*i**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*t - 0*t. Solve -5*x + 2*x = -t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21)\/(-14)*(-94)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1756.362 - -6807.266\nAnswer: 5050.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = -4*t + 6*t, 0 = 3*d + 15. Calculate the smallest common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*w + 17 = 48, -4*w + 35 = 3*p. Let t be (-10)\/(-45) - 508\/18. Let u = -19 - t. Calculate the remainder when p is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52166 + 52116 = 5*f, 2*f - f + 26 = 4*v - 12*v - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936093767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -299*k + 297*k - 4, 5*k - 4*i = -19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**4 + 97*s**2 - 3*s**4 - 3*s**4 - 92*s**2 - 345*s + 36*s**5 wrt s?\nAnswer: 2160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (-2*(2 + sqrt(432)) - sqrt(432) - ((1*sqrt(432)*2 - sqrt(432)) + sqrt(432)))))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22096*c**2*m**2 + 2*c*m**2 - 54*c*m + 3*m**2 - 3 wrt c?\nAnswer: 44192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.052, -0.2, -2\/15, -4\/3, 5 in descending order.\nAnswer: 5, -0.052, -2\/15, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3285184815 to the nearest integer?\nAnswer: 57317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*w + 417*w = 602*w + 9531 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((((m\/m**(-1\/3))\/m*m)\/m)\/m)\/m))\/m*m**2*m)\/((m\/m**1)\/(m*m**1)) assuming m is positive.\nAnswer: m**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 3698*u**2 + 7402*u + 3702.\nAnswer: -2*(u - 1851)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.13917 and -32.5?\nAnswer: 32.36083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004740165917 rounded to six decimal places?\nAnswer: 0.00474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 31026 = -18*z + 17*z, -3*p + 310338 = 10*z. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/6)\/((-1)\/12). Suppose 3*s - 1 = -j, -5*j + 4*s = -a + 8. Suppose 6 = -2*z - 4*b, -4*z + b = 3*b - 6. Sort j, z, 2 in ascending order.\nAnswer: 2, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-693)\/(-70) + 126\/(-36))*(-7)\/28.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d550 + -2?\nAnswer: 4d54e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2605 divide 149472295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 10*s**2 - 16*s - 8.\nAnswer: -2*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -793469, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 790106 and 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-1\/3)*x))\/x)**(2\/5)*x**2\/x**(-2\/19))\/((x**0)**(-47)*x**(-2\/7)\/x**(1\/5)) assuming x is positive.\nAnswer: x**(4637\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 3*v + 5. Let u be p(4). Let z = u + 70. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 36 = 3*m. Suppose 3*f + 3*p = 6*p + m, -2*p = -f + 6. Solve f = -10*o + 5*o - 5*z + 25, -3*o + 11 = z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645093\/3 less than or equal to 881698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 15*g - 27. Let j be i(2). Is (-6)\/4 + ((-35090)\/4)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) - 5*((sqrt(196) - (sqrt(196)*-2 - sqrt(196))) + sqrt(196)))\/(6*((sqrt(7) - sqrt(28)\/sqrt(4)) + sqrt(7)))*-4)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + 218\/2 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 h when three letters picked without replacement from isiccuh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 377, 0, 2, -116884 in descending order.\nAnswer: 377, 2, 0, -116884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*h = -14*h + 672 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**(-2\/7)\/o)**16 assuming o is positive.\nAnswer: o**(-704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.3. Is 0.3 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3007*l*q**3 - 2*l*q**2 - 669*q**2 wrt q.\nAnswer: 18042*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 23. Which is smaller: y or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1054*m - 1339. What is the units digit of n(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/3 + 28070*f**2\/3 + 112322*f\/3 - 140390\/3 = 0. Calculate f.\nAnswer: -5, 1, 14039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22164683003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((129\/1290)\/(((-12)\/10)\/2))\/(-3).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5921172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*6\/(-3)*142968\/(-10212)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -8*v**5\/7 - 502*v**4\/7 - 1674*v**3\/7 + 5594*v**2\/7 - 4118*v\/7 + 708\/7 = 0.\nAnswer: -59, -6, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5639 + -5632. Let x(a) = 7*a - 37. Determine x(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2904 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 2, s: 2}. Give prob of sequence shhs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aba when three letters picked without replacement from akkkkkbkbkkbkkakk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 + 242c53c?\nAnswer: 242c4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -46. Suppose d*w + 3*w + 14 = c, -2*c + 19 = -3*w. Sort c, 10, 4 in descending order.\nAnswer: 10, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*t**2 + t**3 - 2453*t + 7370*t - 2461*t - 2453*t - 26*t**4 to the form y*t**4 + s*t + p + l*t**2 + i*t**3 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*((-2 - 72\/(-20)) + -2). Solve -f*m + 5 = u, -m - 2 = -6*u + 3*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.85216 rounded to 0 decimal places?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4273531 is divided by 1846?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wskw when four letters picked without replacement from xxxxsskxwmwmmx?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44.01445 millilitres?\nAnswer: 0.04401445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 2 + -2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6)*(-3)\/(-10). Let b = 361387\/78595 - -30\/15719. Find t such that 21\/5*t**4 - b*t**2 + v + 1\/5*t**3 - 1\/5*t = 0.\nAnswer: -1, -1\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 2198754376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/382 - -577\/1528. Let y be ((-17)\/(-119))\/(2\/14). Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/333 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -140550.116 rounded to the nearest ten?\nAnswer: -140550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**4\/7 + 5804*y**3\/7 - 12632406*y**2\/7 + 12219747404*y\/7 - 1446. Factor l(h).\nAnswer: -4*(h - 1451)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*m - 3 + 7, 4*m = -4*g. Sort -4, 0, m, -3, -46.\nAnswer: -46, -4, -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -279 - 59*y + 121 + 125 - 45*y wrt y?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1\/8, 2\/11, 8\/7, 0.2, -50, 17?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 460\/(-184)*38*3\/(-15)*(-6)\/(-6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975972.\nAnswer: 2, 3, 81331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-5 - (sqrt(17) - -1*sqrt(68)\/sqrt(4)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -184*c**3 + c**2 - 27*c + 643. What is the second derivative of h(n) wrt n?\nAnswer: -1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180669239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 4*u**2 - 3*u. Let s be l(2). Suppose -4*o + 14 - 6 = 0. Calculate the highest common factor of s and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 1078605.\nAnswer: 79816770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -209*i + 36357 + 86117. What is the remainder when i is divided by 573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -42. Let c(x) = 3 - g - 4 - 338*x + 2. Is c(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2490870, -4981759, -7472646, -9963531, -12454414, -14945295?\nAnswer: -17436174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -122870 (b) 5 (c) 4 (d) 0 (e) 2 (f) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.313 (b) 2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 455\/(-120) - ((-30)\/(-4))\/5 and 51\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00674733025 rounded to four decimal places?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(-55 + 261 + 54)*(12*k - 78 + 78) - 2 + k + 2.\nAnswer: -6239*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/122 and 33?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1952, 3, 2, -2\/7, -0.09, 1\/3.\nAnswer: -1952, -2\/7, -0.09, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-35)\/(-5) + -3. Let q(m) = -8*m + 22*m + t - 4. What is q(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**4 - 10*b**3 - 8*b**2 + 24*b. Let k(j) = 13*j**4 + 29*j**3 + 23*j**2 - 72*j. Let i(l) = 14*c(l) + 4*k(l). Factor i(p).\nAnswer: -4*p*(p - 1)*(p + 3)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3*-3622.\nAnswer: 11952.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggjgjjjjjgj. What is prob of picking 2 g and 1 j?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and 13\/138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 3 + 6*l - 3*l + l. Let h(k) = k**3 - 8*k**2 - k + 11. Let q = 4 - -4. Let z be h(q). What is c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5189?\nAnswer: 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (428 - 430 + 12*t + 13*t)*(-t**2 - 2*t**2 + 2*t**2).\nAnswer: -25*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18) - -199*(-2)\/(-12). Let b = 27 - x. Let t(u) = -4*u - 2. Let s(a) = -5*a - 2. What is b*s(k) + 7*t(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2985*t**3 - 91*t**2 + 2057191*t wrt t?\nAnswer: 17910*t - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/9 (b) -10\/2457 (c) 5\/54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110001000011 (base 2) to base 6.\nAnswer: -301203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 65\/75 - -2*(-2)\/4. Which is the third smallest value? (a) o (b) -2 (c) 9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 281382 and 30276.\nAnswer: 1419853572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:38 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*g + 0*g = -127, -5*g + 210 = 5*d. Let s = d - 31. Determine m, given that 13*m**2 + 2*m**4 - 6*m**3 + 3 - s*m + 1 - m**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4 - (-10819)\/(-930) - (-2)\/15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/11 + 440574432*h\/11 - 24263228766515328\/11 = 0. What is h?\nAnswer: 110143608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3405 + -3405.0002189. Round x to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*u + 161*u + 2538. Put -5, 3, u in ascending order.\nAnswer: -5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -2\/3, 256, -5, 0.5.\nAnswer: -5, -2\/3, 1\/12, 0.5, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190 + -190.831. Let q = v + 0.89565. Round q to 3 decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(-2\/25)\/(x**(-5)*x*x\/(x*x\/(x*x**3))*x) assuming x is positive.\nAnswer: x**(2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 + 250 - 247 - 3*a + 17*a + 6*a.\nAnswer: -12*a**3 + 20*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -223. Let c = g + -160. Calculate the remainder when c is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135134 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0 - (-85 + 60 - -48)) + 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 0 - 4) + -4 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02003? (a) -3 (b) -5 (c) 1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/b*b*b*b*(b*b*b*b**(-1\/15))\/b*b**(-2\/13)*b**(-7) assuming b is positive.\nAnswer: b**(-1213\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 + l + 1. Let x(h) = 32*h**3 - 3*h**2 + 3*h + 5. Suppose 134*a + 150 = -381 + 129. Determine a*i(q) + x(q).\nAnswer: 35*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 2*p + 4. Suppose -2*u - 5*k = 14, 4 + 0 = -4*u + 2*k. Let g = 15 - u. Suppose 4*z + 5 = g. Let s(b) = b**2 - b + 3. What is z*d(n) - 4*s(n)?\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 47 (c) -4 (d) -6756\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = 0, -18*b + j + 7 = -21*b. Let f(t) = -4*t - 7. Let m(z) = 1. Let h(r) = f(r) + 2*m(r). Give h(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 73\/4 + (-2)\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1016 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364 + -360. Let d(z) be the third derivative of 0 + 0*z**3 + 0*z**5 - 1\/24*z**n + 0*z + 1\/24*z**6 - 6*z**2. What is the second derivative of d(u) wrt u?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:32 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 2 + 2 + (-5*o - 7*o + 49*o)*(0*o**2 - o**2 - o**2).\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -1\/729 (b) 20 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 56 times 149\nAnswer: 8344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -8, 3, -22304 in ascending order.\nAnswer: -22304, -8, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 + 13*z - 11. Let i(n) = -11*n**2 - 27*n + 23. Let h(a) = -6*i(a) - 13*s(a). Let m(w) = 5*w + 1. Let b be m(6). Let y = b - 27. Determine h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2102223111 (base 4) to base 16\nAnswer: 92ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*(y*y*y*y\/(y\/(y*y*y**3)))\/y*y*y)\/y)\/(y**4\/y))**40)**(1\/8))**(-2\/17) assuming y is positive.\nAnswer: y**(-60\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 887532758 to the power of 1\/2, to the nearest integer?\nAnswer: 29791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-18) - -1)\/(267\/9). Sort 2\/7, 0.5, 4, v.\nAnswer: v, 2\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10206, -9300, -7788, -5670, -2946?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 210*h**3*n**2 + 2*h**3 + h**2*n - 2*n**2 + 9*n - 22 wrt h?\nAnswer: 630*h**2*n**2 + 6*h**2 + 2*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6366*h + 38220. What is x(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1 = x, 4*x + 4 = 14*w - 18*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let m(l) = -21067863*l. Let n(z) = 2*z. Determine n(m(s)).\nAnswer: -42135726*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -2\/15, -2, -0.2 in ascending order.\nAnswer: -2, -0.2, -2\/15, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703622.1 centuries to months.\nAnswer: 844346520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 + 2*s**2 - 3594*s - 3595. Determine c(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 less than or equal to -187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, -1841, -4, 2\/9, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32\/9 (b) -3\/2 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1325 and 27425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from nnnbnbnnnnnbbnnnnnnn.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 995175 and 56475?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 + 34682*b - 300710281 = 0?\nAnswer: 17341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**3 - 19*i**2 + 49*i - 32. Let l(m) = -2*m**3 + m**2 - m. Let s(t) = 2*b(t) + 2*l(t). Factor s(a).\nAnswer: 4*(a - 4)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 6*t**2 + t + 4. Let y be q(-5). Let i be y\/(-6) - (-1)\/(-3). Suppose -22 - 12 = 9*m - 26*m. Solve -m*f - 4 = i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 4*k + 2*h - 48, 0 = -3*k + 3*h + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/15*(-5)\/(-2). Let z = 6\/187 + 1671\/374. Let n = z + w. What is the biggest value in 0.5, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g = 32*g + 2130. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87209 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**13)\/(o*o*o**(1\/33)*o*o)*(o\/(o**(-8)*o*o*o))**(-1\/19) assuming o is positive.\nAnswer: o**(-10249\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 0, -23*b - 3*l - 103 = -27*b. Solve 0 = -16*q + 19*q + 4*w - b, 0 = 4*q - 4*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84535803 minus 3?\nAnswer: -84535806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -325 - -4873\/15. Let q(k) = -k**3 + 12*k**2 - 10*k - 8. Let f be q(11). Suppose -f*u - u = 0. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 4. Let s = o - -2.2. Let n be 354\/(-531)*(-1 - 2\/(-3)). Which is the second smallest value? (a) s (b) -1\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.012 and -30911.\nAnswer: -30909.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 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: What is 0.6410292 millilitres in litres?\nAnswer: 0.0006410292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -61\/3019335?\nAnswer: -61\/3019335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -115.974. Let k = -3.054 - v. Let u = 58.02 - k. Round u to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/s*s\/((s*s**(2\/7)*s)\/s)*s*(s\/s**(1\/4))\/s**(-2\/11) assuming s is positive.\nAnswer: s**(-1033\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 10*i**2 + 24*i + 313. Let m be q(-9). Solve -12 = m*k - 60 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 j when three letters picked without replacement from coyjf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -71*n**3 + 3*n**2 + 3*n + 6. Let o(s) = -1776*s**3 + 74*s**2 + 74*s + 148. Determine 74*l(d) - 3*o(d).\nAnswer: 74*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u - 91 = -295 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46260 and 3855.\nAnswer: 46260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -2\/15, -1166, 0.44?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/7)\/((-8)\/28). Suppose h*f - 53 = w + 6, -70 = -5*f + 2*w. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -734 - 3*r**2 + 0*r**2 + r**2 + 732 - 5*r to the form f*r + w + j*r**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) 4 (b) 0.5 (c) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100001010001001100101 (base 2) to base 16.\nAnswer: -90a265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1207440993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:43 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 940 + -936. Solve 0 = 2*p + x*p + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 11, o: 4, q: 1}. What is prob of sequence do?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 19602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/5)*c*c)**(-7\/4)*(c**(-2\/3))**33)**(-13) assuming c is positive.\nAnswer: c**(7267\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175 smaller than 3175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(-2 - 3 - 3) - 2 - 1 - 1)*(7*y**4 - 2*y**4 + 7*y**4).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*(-18)\/(-4284))\/1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + (sqrt(84) - -2*sqrt(84))*-6)\/(3*sqrt(1452)).\nAnswer: -16*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 10 - ((-12)\/(-4) - 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -540211 - -2033?\nAnswer: -534134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.400034 - 0.4. Round t to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*w**3 + 261.\nAnswer: 78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*z**4 + 56*z**2 + 7*z**5 - 45*z**2 + 0*z**4 wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448226 by -11.\nAnswer: -448226\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 20. Let r = -25 + h. Suppose r*n - 12 = -0*n. Solve -t + 2 - n = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/52447360 and -111\/103040.\nAnswer: 52447360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**2\/2 - 3. Let l(h) = 771434*h + 4. Let t(p) = -6*g(p) + l(p). Let m be t(7). What is m rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142420442 (base 5) to base 14\nAnswer: -156983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44920, -179564, -403924, -718000, -1121792?\nAnswer: -1615300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(sqrt(704) - (sqrt(704) + 0))*3*1)**2*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5440531 (base 6) in base 13?\nAnswer: -95a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -59, -142, -257?\n\"Answer: -16*j**2 - 3*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/60 + z**4\/6 - 16*z**3\/3 - 363*z**2 - 2. Factor j(l).\nAnswer: (l - 4)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:54 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*b**2 - 47 + 47)*(0*b + 0*b - 2*b**2) + b**4 + 2*b**4 - b**4 + (2*b - 1 + 1)*(0*b**2 + 0*b**2 - 2*b**3).\nAnswer: 114*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*f - 20, -q - 32 = -4*q + f. Suppose z + 2*d = 35, z - d - 26 = -3. Calculate the remainder when z is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**4 - 2*r**4 - 3*r**4 + (0*r**3 + 5*r**3 - 3*r**3)*(2*r + 3*r - 7*r) - 2 + 2 + 2*r**4 + (0*r - 4*r + 5*r)*(-24 + 24 + 3*r**3).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 - 114. Let t(d) = -2*d**2 + 4*d - 2. Let j be t(2). Put y, j, 3 in increasing order.\nAnswer: j, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 0) - (790 + -802)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1fe (base 16) in base 8?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000186 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20898.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let s = 8053\/315 + -1624\/45. Let w = s + -80\/21. Calculate the common denominator of w and (-374)\/(-63) - 2\/(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183070201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6154 - 5544. Do 609 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from {g: 2, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 209.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3 (b) 2 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6. Let j = -0.2 + 0.1. Let w = 127751 - 127752. What is the nearest to k in j, 8, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*q = 16, -3*t + 0*q + 12 = -5*q. Let o = 223 + -205. Suppose 7*j = 206 + o. What is the highest common divisor of t and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.523 less than 129.9?\nAnswer: -131.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*t**4 + 9*t + 5*t**3 + 2*t**3 - 7*t**3 wrt t?\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -222 (c) 0.08 (d) -51 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65056 and 10678.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/12*80\/(-50)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**3 + 0 + 18 - 8 + 15*i. Let r(h) = 60*h**3 - 180*h - 120. Let p(d) = 25*a(d) + 2*r(d). Solve p(b) = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 32189.\nAnswer: -5\/32189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 208\/39 + (1 - 6). Which is the second biggest value? (a) 2\/15 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3967, -7935, -11903?\nAnswer: -15871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 82, 5, -5, 3, -1 in descending order.\nAnswer: 82, 55, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(4\/(-120)*5). Suppose -n*m + 5994 = -84*m. What are the prime factors of m?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/4 and 29\/19065.\nAnswer: 76260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21434 - -31344?\nAnswer: 103333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4236*d**4 + 6*d**3 + 628798 wrt d.\nAnswer: -16944*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 359 + -361. Let b = -0.98 - 4.02. Let d = -4.1 - -0.1. What is the smallest value in n, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309840621 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (6*(sqrt(252)*-1)**2 - sqrt(252))) + 4.\nAnswer: -6*sqrt(7) + 1518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1748 + -1758. Let f(t) = -t**3 - 8*t**2 + 21*t + 16. Determine f(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4058 = 331*c - 8152. Solve 56 = c*h - 51*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30213233 - -2?\nAnswer: 30213240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 33*j**2 + 3. Let l be p(33). Suppose -2*s + 56 = -5*i, 4*s = -i - 0*i - 20. Let x = -17 - i. Sort -7, x, l in increasing order.\nAnswer: -7, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 136 + 4795?\nAnswer: 48cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -221*h**6\/60 - h**4\/24 - 187*h**3\/3 + 171*h**2 + h. Differentiate z(p) with respect to p.\nAnswer: -1326*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1653, -4218, -8573, -15612, -26229?\n\"Answer: -149*b**3 - b**2 - 1519*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 12*q**2 - 15*q + 10. Let d be t(-13). Suppose -w - d = -4*w. What is the least common multiple of w and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - 3) + (79 - 84)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164029.\nAnswer: 61, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 98*s - 2394. Calculate l(-48).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310.7994 meters to nanometers.\nAnswer: 310799400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*s**3 + 43211798*d**2*s**2 - 9*d - 2*s**3 + 10*s**2 - 6336*s wrt d.\nAnswer: 2*s**3 + 86423596*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 15*d**2 + 18*d - 54. Let m be u(14). Suppose -m*z + 5*n = -31, -29 = z - 2*z - 2*n. What is the remainder when 109 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 110\/(-10296)*(-33)\/(-2) and -115\/18?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) -2 (b) -6 (c) -20 (d) 0.1 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4 - 91*j**3 - j**2 - 220*j + 3 wrt j?\nAnswer: 36*j**2 - 546*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.033 and -0.616891014.\nAnswer: -0.649891014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101 + 1011000?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/36)\/(-14) + (-38)\/(-36)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-7)\/14)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10013 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 10.92, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**7\/42 - w**6\/12 + 2*w**5\/3 + 132*w**2. Solve v(i) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1081 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 14*n - 7*n. Suppose 100 - n = 5*v. Suppose -3 = 4*p - v. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2699*r**3 - 4*r**2 - 2*r + 31.\nAnswer: 16194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-16))\/(1 - (-2)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -3. Let d = v - 76. Let g = -47 - d. Calculate the smallest common multiple of 6 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 11*c. Let g(d) = -2*d**2 - 4*d. Let a(o) = 11*g(o) + 4*q(o). Let m(h) = 4*h. What is m(a(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2370363969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 9:23 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4632 = 69*b + 975 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111236*m**5 + m**3 + 2*m**2 + 12*m + 13588?\nAnswer: -6674160*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 + 16*q**2\/11 - 62*q\/11 + 4.\nAnswer: 2*(q - 2)*(q - 1)*(q + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-64) + 3 - 12\/(-192)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65766.76ng in tonnes?\nAnswer: 0.00000000006576676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -28\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbib when four letters picked without replacement from gbriggbrrrbrr.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t - 15. Let k = -20 + 25. Calculate the lowest common multiple of 3 and o(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -2*y**5\/15 - 8*y**2 - y. Let t(c) be the first derivative of m(c). Let z(n) = n. Determine t(z(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/2))\/(z\/z**(-12)*z))\/(z**(-3\/5)\/z*z*(z*z**(1\/23)\/z)\/z*z) assuming z is positive.\nAnswer: z**(-2517\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/5? (a) 1\/16 (b) -0.04 (c) 0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -r, 7 = -2*r - 4*q + 25. Let c be (8\/6)\/((-11)\/33). Let g be r\/(-3)*(c + 3). Is 1\/15 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**5 - 1 + 1 + (-2*z**4 + z**4 - 2*z**4)*(z + 0 + 0))*(0 + 26 + 34).\nAnswer: -60*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-10 + -1 + 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -866.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5 + 7*f**4 + 28*f**3 + 20*f**2 = 0.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 0 + 0*p**3 + 4\/9*p**2 - 4\/9*p**4 + 2\/9*p**5 - 2\/9*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - ((-6 + 10 - 2) + (-19 - -9))) + 59\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 725273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)*b)**2\/(b\/(b\/b**0))**(-1\/23))\/((b*b*(b*b**7)\/b*b)\/(b**(1\/6)\/b))**(-20\/9) assuming b is positive.\nAnswer: b**(731\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 724 + -665. Let d(u) = -4*u + 7. Let p be d(5). Let w = p + h. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1513615, -1513617, -1513619, -1513621, -1513623?\n\"Answer: -2*z - 1513613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/13 <= 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131767*f + 3*b = -131772*f + 176, 5*f + 226 = 3*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -349 + 7510. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 2:33 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 814, 1634, 2454, 3274?\n\"Answer: 820*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -3. Let l be (-1 + 3)\/(d\/(-10)). Suppose 4*p + 8 - 85 = -3*s, -5*p = -l*s + 51. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y\/y**(-21)*y)\/y)*y)\/y))\/y**(-2\/51) assuming y is positive.\nAnswer: y**(1124\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283733386?\nAnswer: 2, 71, 389, 59447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8031*y - 4815 wrt y.\nAnswer: 8031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-166)\/(-249) + 2\/(-3) + 0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/3)\/2 + -14. Which is the smallest value? (a) -3 (b) 3\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -39. Let b be 0 + 20046\/d*8\/(-12). Let w = b + -1346. Calculate the common denominator of 13\/32 and w.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 19) + 0 - (24 - 6 - 21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (444\/63)\/((-202)\/(-8)). Let x = 2\/303 + i. Let z = 1.2 - -1.8. Which is the closest to x? (a) -4 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 3*z - 60. Let u(h) = -h**3 - 18*h**2 - 18*h - 13. Let o be u(z). Which is the third smallest value? (a) -1\/10 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 659, 1494, 2663, 4166?\nAnswer: 6003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3497 or -10867?\nAnswer: -10867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 137613647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -26. Let a be (c\/(-25))\/((-4)\/10). Suppose 5*p - 7*w + a*w = 0, -p + 12 = 2*w. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-52)\/(-96))\/13)\/((-27)\/(-81)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 - 5*f**3\/3 - 3*f**2\/2 - f + 13. What is y(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -82, -123, -164, -205?\n\"Answer: -41*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 11*d + 7. What is g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, -6, 78, 124 in decreasing order.\nAnswer: 130, 124, 78, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 1131.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.795 in 10, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8448621*g**3 - 13215658*g?\nAnswer: 50691726*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 13*i - 2*i to r*i + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-8) - 162\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4075825.\nAnswer: 5, 13, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10352634, 10352638, 10352642, 10352646?\nAnswer: 10352650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 1, -8, -2 in decreasing order.\nAnswer: 1, -2, -5, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 21*b - 41. Let s be o(3). Suppose 24 = -s*t + 34*t. Let j = -9 - -10. Put j, -4, t in decreasing order.\nAnswer: t, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2534 and -3.3.\nAnswer: 0.83622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8289 + -7419. What is the greatest common divisor of m and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*i - 104 + 120, -5*i - 21 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + u, -3*m + 2*u = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -45, -76, -119, -174?\n\"Answer: -6*j**2 - j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 + 2*g**2 - 5*g**2)*(-39*g + 4*g**2 + 39*g) - g**4 + 3*g**4 - 4*g**4 to m*g**4 + c + r*g**3 + q*g**2 + x*g and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v**3 + v**3 - 2*v**3 - 1160 + 1160 - 46*v**3 + (-4 - 11 + 3)*(v**3 - 3*v**3 + 0*v**3).\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -26, -39, 3 in descending order.\nAnswer: 3, -2, -26, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260 - -282. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 3*b**5 - 2*b**5 + (2*b**3 + 4*b**3 - 4*b**3)*(-2*b + 2*b + 2*b**2) + (-346*b + 346*b + 18*b**2)*(b**3 + 2 - 2) - 15*b**4 + 2073*b + b**5 - 2073*b.\nAnswer: 25*b**5 - 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -a8676?\nAnswer: -a867a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13*t - 20. What is r(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b - 5. Let n be -4 - b - (4 - 10). Suppose 12\/5*x**n + 8\/5*x**2 + 2\/5*x + 8\/5*x**4 + 2\/5*x**5 + 0 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 41*z**4\/3 + 986*z**3\/3 + 1984*z**2 + 96*z = 0.\nAnswer: -12, -2\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 19*k**2 - 7. Let c(u) = -9*u**2 + 3. Let r(w) = -6*a(w) - 13*c(w). Let b(p) be the first derivative of r(p). Is 11 a factor of b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - j**5 - j**5 + (2*j**4 + 0*j + 0*j)*(3*j + j - 3*j) + 2*j**5 + 3*j**5 - 3*j**5 + (8095 - 132*j**4 - 8095)*(3 + j - 3).\nAnswer: -129*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51\/78802 or -1?\nAnswer: 51\/78802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(8*h**2 - 2*h**3 - h - 2*h**2 - 11*h**2).\nAnswer: -8*h**3 - 20*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*t - 20. Suppose 4*d + 23 = 3*z, -d + z + 27 = -t*d. Let y be (22\/d)\/(1\/(-4)). Solve -11 = -2*o + 3*x - 6*x, -5*x - y = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(242) - (-2 + sqrt(242))**2)*-1 - sqrt(242)).\nAnswer: -396*sqrt(2) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -1. Let z be 80\/d - 2\/7. Let l = z - -5. Sort 2, l, -4 in decreasing order.\nAnswer: 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:17 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11*v + 538 = 0, 46*w - 49*w - 3*v + 552 = 0. Solve 0 = -3*b - w + 180 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f. Let i(g) be the second derivative of g**5\/60 + g**3\/6 + 5*g. Let y(a) be the second derivative of i(a). Determine y(z(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llw when three letters picked without replacement from lwwllwllllllwl?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 6. Let o(l) = -6*l. What is o(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {k: 2, t: 2, s: 1, x: 2, l: 2, w: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3445 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*a**3*r**2 - 173*a**3 - 1519*a**2*r**2 - a*r - 4*a - r**2 wrt a?\nAnswer: 360*r**2 - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -1\/3*b**3 + 7 - 1\/2*b**2 + 413*b. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1059.017 + 1044.3. Let o = 0.183 - x. Round o to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*t + 17 = -0*q, 4*q = -5*t + 2. Suppose 0 = -2*f - 5*d + 28, -q*d + 8 = -d. Find the second derivative of 32 + f*l**3 - 32 + l wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4*(-7)\/140)\/(-3*(-3)\/(-5)). Suppose -2*s = -s + 2. Which is the closest to 1? (a) s (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 351667658.\nAnswer: 1\/175833829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -11*d - 335. Let r = 23 - 6. What is the remainder when d is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-1)\/(-1)))\/(16\/44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534881.\nAnswer: 3, 13, 116279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i)**(2\/147))**(-21\/5) assuming i is positive.\nAnswer: i**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*r - 62 = 0, -8573*f + 8573*f = -9*r + 9 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7699656 and 5372.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j - 2*p, -2*p = -4*j - p + 5. Suppose l - 11 = 5*i + 5*l, 0 = -2*i + 5*l + 22. Let c = -10 + 15. Solve -c = j*d + i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -23123230?\nAnswer: -23123233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -84987210 at least -84987210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2587751 and 0.48.\nAnswer: -1242120.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48342*-574.\nAnswer: -27748308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85775?\nAnswer: 5, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 41*t + 236 = 0. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2, -3*l + 5 = -2*o - 0. Which is smaller: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 151 + 493 = h. Calculate the greatest common divisor of h and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170185?\nAnswer: 5, 101, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -3*m**3 + 4*m**2 + 11*m + 2. Let v(p) = 3 - 5*p**2 + 3 + 0*p**2 + 4*p. Let d = -309224 + 309213. Calculate d*v(s) + 6*k(s).\nAnswer: s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - z = -6*z - 28, -4*z - 18 = -2*r. Let c be 2\/(-4)*74*r. Suppose -3*b + c + 104 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 0, 2*y + 2*l + 17 = 5*y. Let z = -169.2 - -169. Which is the smallest value? (a) z (b) -4\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 495 and -13.2?\nAnswer: 508.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 2. Let h be (d\/(-4))\/((-6)\/(-12)). Is (-7)\/(h\/3 + 0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727989 is divided by 2727937?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 129 = 3*r - 4*p, 3*r + p - 112 = 0. What is the remainder when 190 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 g, 1 d, and 1 p when four letters picked without replacement from {z: 1, b: 1, g: 1, q: 2, d: 1, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 54*g - g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 51*v = -8, -129*u + 130*u + 4 = 2*v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -610, -1\/8 in increasing order.\nAnswer: -610, -4, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 146516?\nAnswer: 146516.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-40))\/(-1*1))\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.1. Let p = -23.1342 + 0.0342. Let o = p + 23. Put -1, c, o in ascending order.\nAnswer: -1, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124076 rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4432 - -172837\/39. Let t = k - -3\/26. Is -1 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 18947 = 2*b - 7*b, 2*x - 37790 = -3*b. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in -0.2, 0, -2\/5, 0.05?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1420 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/4 - 2*l**2 - 16*l. What is the derivative of v(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-27) + (-2)\/(-9). Let t(z) be the first derivative of -3*z**2\/2 + z + 3. Let l be t(n). Which is the third biggest value? (a) 4 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 26 - 8\/3*k**3 - 1\/4*k**4 - 7\/2*k**2 - 5*k. Calculate r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 2. Let u be i(3). Let y be ((-48)\/(-3))\/(-4) - (-104)\/24. Does y = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 4*r - 4*r + 5*r**3 + 4*r**3 + 5*r.\nAnswer: 6*r**3 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 18681*q**2. Let r(c) = -2*c**2. Determine u(r(w)).\nAnswer: 74724*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 4*m - 23. What is z(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13688 = -4541*i + 63509 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1502223*d*q**3*r**2 + 5*d*q**2*r - 14*q**2*r**2 - 809*q**2 wrt q.\nAnswer: -9013338*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 47 + (-36 + 28 - -32 - 22)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 + -320. Let u = 216.0374 + y. Let c = u + -0.03. Round c to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oowd when four letters picked without replacement from {w: 3, l: 1, d: 3, x: 1, o: 5}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**5 - 102*a**4 - 69*a**3 + 47*a**2 + 54*a. Let k(s) = s**5 + 2*s**4 - s**3 - 2*s**2 - 7*s. Let j(u) = -6*k(u) - r(u). Let j(q) = 0. Calculate q.\nAnswer: -1, -1\/4, 0, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -35, -52, -79, -122?\n\"Answer: -v**3 + 4*v**2 - 18*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/21))**(-3\/34) assuming a is positive.\nAnswer: a**(1\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:53 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4 - 3 + x + 1 - 2*x. Let u be p(0). Let z(j) = -j**3 - 5*j + 5*j**u - j - 2 + j**2 + j. Give z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 10) to base 7\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -117. Suppose -5*x = -3*p - 8, -5*p + 2 = 3*x + 4. Which is the nearest to -6? (a) x (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-15))\/(12\/10). Let m = 7129.3 - 7129.3. Which is the nearest to 0? (a) s (b) m (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2568 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*p*s*v + 29292*p*s - 4*p*v + 6*p - 2*s + 23890*v wrt v?\nAnswer: 6*p*s - 4*p + 23890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + (33 - 30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1652*p + 43. Let y = -12 + 18. Let n be x(y). Suppose -i + 826 + 1680 = -5*w, 3*w - n = -4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208113.\nAnswer: 1208113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 7646.\nAnswer: 3\/7646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(-3*(-1)\/(-18))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 3*f - 5. Let r(x) be the second derivative of 5*x**4\/12 - 2*x**3\/3 + 7*x**2\/2 + 125*x. Give 7*q(c) + 5*r(c).\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -259\/57136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00129228 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*x - 8898 = -3969 + 6841. Solve 61*k + x = 39*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -5)*(-9)\/15. Solve -z*c = 3, -7*t - 2*c = -2*t - 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-351)\/(-1638)) + 4 + 0\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 5, r: 1, s: 4}. What is prob of picking 2 s and 1 i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3151 (c) -0.2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212 and 8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 - 229 + 32 - 281 + 479*y - y**2 wrt y.\nAnswer: -2*y + 479","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + 11.97. Which is the biggest value? (a) 0.4 (b) 2\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*c - 625 + 49 = 113*c + 526 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyaaa. What is prob of picking 1 a and 2 y?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -357, -354, -357, -372, -405, -462, -549, -672?\n\"Answer: -t**3 + 3*t**2 + t - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**4 + 19*r**4 - 11*r**4 + (-2*r**3 - 2*r**4 + 2*r**3)*(0 + 3 - 1) to the form m*r**4 + f + a*r + d*r**2 + t*r**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113437781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.55 - -0.45. What is the closest to j in -2\/7, -0.1, -5, -5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 4*u - 4. Let i = -3 - -8. Calculate z(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 8*t + 4. Let i be y(-5). Let f = i - -33. Suppose 0 = 4*m + f - 118. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721571757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -818799*s**3 + 303049*s + 1 wrt s.\nAnswer: -4912794*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104 - 4)\/(-4) - 7. Calculate the remainder when 17 is divided by 11 - (-7)\/(-28)*y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -43 + (8 + (-12 - -15) - (0 - -8))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.57 and -0.6.\nAnswer: -3.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520 and 179855.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n + 66. Let f be d(22). Let v be (4 + 8)\/4*f\/(-6). Let s = v - 42. Solve -s*k + 0*k - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249\/19 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2142 and 125613?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02499 * 2.31\nAnswer: -0.0577269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*t - w + 98, 0 = 3*t - 3*w - 66. List the prime factors of (-3)\/((-9 - -8)\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 8*u**2 + u + 4. Let w be s(3). Let c = -53 - w. Let o(p) = -2*p - 7. Is 5 a factor of o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1252 - -1250. Let t(b) be the second derivative of b**5\/10 + b**4\/4 - b**3\/6 - b**2 + b. Determine t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - ((16 - 7) + -13 + 5 - 10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 + 13 - 14*z + 17 wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 11. Let h be p(-15). Suppose 4*n = -l + 49, -3*n + h*l = 1 - 52. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139146 = -15*y - 27*y. Suppose 3*w + 4*a = 2*w + y, 5*w = -5*a + 16565. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1718, 1850, 2078, 2408, 2846, 3398?\n\"Answer: n**3 + 42*n**2 - n + 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -0.164, 4, 0.4?\nAnswer: -0.164","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84 + 9*m - 212*m**2 - 20 + 143*m**3 + 213*m**2 - 55 - 53 wrt m?\nAnswer: 429*m**2 + 2*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -2*u, 0 = -5*c - u - 0*u + 22. Suppose 0 = -3*g - 2*r + 64, 0*g + 52 = 3*g - c*r. Calculate the remainder when 79 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7978 is divided by 600.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -k + 2530, -10 - 5 = 3*k. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from tiktwdnk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2. Let k(r) be the second derivative of 0 + 1\/2*r**3 - 7*r + 0*r**2. Give k(o(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(-1)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 173*i - 11. Let z(u) = -303*u + 23. Let y(o) = 7*x(o) + 4*z(o). What is y(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = -41*h + 319. Solve 4*o - 21 = -0*w - 5*w, -3*o + h = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 11}. Give prob of sequence kj.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -6 - (-1493373)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1600\/(-128)*2\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.64 - -0.7. Let s = 0.14 + t. Let d = 0.06 + -4.06. What is the closest to 2\/5 in d, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/4049? (a) 1 (b) 1\/4 (c) 6\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 9:48 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5225.573 microseconds?\nAnswer: 0.005225573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*k - 1899 - 3190 - 583 - 1617 = 0 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13803 - -34214. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {x: 2, r: 1, p: 1, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3070*w + 15303. Determine l(-4).\nAnswer: 3023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((12 - 36) + 17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 44*r + 145*r - 11 - 51*r - 51*r - 4*r**2. Let h(f) = -4*f**2 - f - 11. Determine -4*h(p) + 5*x(p).\nAnswer: p**2 - p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 2*l - l)*(-1 + 1 + 2) - 4*l - 4*l + 0*l as v + u*l and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64135517 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 757 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 111*x - 77*x + 3 + 215*x.\nAnswer: 249*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -6*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b - b2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l + 28*l + 588 = 0. Solve -49*v + l*v + 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 116*q + 5043. Calculate u(-47).\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f**2 + 64*f**3 + 3 + 0*f - f - 5 - 5*f**2. Let m be o(-6). What is m rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(192) + sqrt(192) - (2 + sqrt(192))*5)*-4)**2 - (-6*(sqrt(192)*5 + 0) + 4)**2.\nAnswer: -142032 + 12672*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -522\/11 in descending order.\nAnswer: 0, -0.1, -522\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 4. Let n(l) be the third derivative of -l**6\/120 + l**5\/12 + l**4\/6 + 7*l**3\/6 - l**2 + 7*l. What are the prime factors of n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 15, 8, 1, -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 7575381*f**2\/2 + 45452259*f\/2 - 68178375\/2.\nAnswer: (f - 7575375)*(f - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 325, 725, 1275, 1969, 2801, 3765, 4855?\nAnswer: 6065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6999000 to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2204, -4413, -6646, -8915, -11232?\nAnswer: -13609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**2. Let u(j) = -10*j - 7. Let o(h) = -7*h - 5. Let x(n) = n**2 + 7*n + 5. Let k be x(-7). Let r(g) = k*u(g) - 7*o(g). Calculate f(r(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 17934?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/12 - 2*w**3 - 5*w**2 + 12*w + 16. Suppose -5*f + 72 = -f. Suppose 2*x + 6 = -0*v - 5*v, x - 5*v = -f. Give r(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21872, 43748, 65636, 87536, 109448, 131372, 153308?\nAnswer: 175256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**7\/30 - c**3 - 7*c**2. What is the first derivative of d(i) wrt i?\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44615 rounded to 2 decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 5*l**2 + l - 3. Let d be i(5). Let v(q) = 0*q**2 + d*q**2 - 2*q**2 + q**2. Let n(a) = -2*a**2. Calculate v(n(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88316 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**2 - 1 + 23*r**2 - 2*r**3 + 4*r - 15*r**2. What are the prime factors of w(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*h + 132, -4*h + 6 = -6. Suppose -18 = 2*f + 2*v, -4*v = 29*f - 24*f + j. Which is the nearest to -3\/8? (a) -3 (b) -1\/2 (c) 2\/13 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8855.\nAnswer: 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(3\/36*2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116602983 by 762111.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(1331)) + 4 - (sqrt(99)\/((2*sqrt(9) - sqrt(9)) + sqrt(9) + sqrt(9)) + sqrt(11))) + sqrt(132)\/(sqrt(1452)*4) + 5.\nAnswer: -1493*sqrt(11)\/132 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/5 - 174*t**3\/5 - 2484*t**2\/5 + 3174*t + 401511\/5.\nAnswer: -3*(t - 11)*(t + 23)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:50 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 43?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b - 15. What is q(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*m - 5*m + 1393951. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 747 = 0. Find the common denominator of 1\/6 - s\/36 and (31\/8)\/(4\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-15\/7)*h**(1\/3) assuming h is positive.\nAnswer: h**(73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 - -154. Suppose -7*q + 27 = -3*q - m*d, -5*q - 5*d = 10. Solve q*t + 0 = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 + 4*v - 7. Let l be q(5). Let m = -3 + l. Suppose 3*y = 46 + 29. Calculate the greatest common factor of m and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 4*n + n)*(-2 - 2 - 1).\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 68 + 8. Let f(t) = -2*t**3 - 2*t**2 - 2*t + 4. Let h be f(-3). Let q = h - u. What is the greatest common divisor of q and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1882738 and 11935066.\nAnswer: 8294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**28)**(3\/46)*m**(-24\/7)\/(m\/(m\/(m\/(m*m*m*m**37)))) assuming m is positive.\nAnswer: m**(6021\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 134.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d + d)*(-5*d**2 + 5*d**2 - 5*d**3) + 83*d**3 - 89*d**4 - 83*d**3 + (d + 1 - 1)*(-22*d**2 - 10*d**3 + 22*d**2).\nAnswer: -109*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**2. Let q(h) = 7*h**2 + 16*h**2 + 13*h**2. Let u(b) = 2*q(b) + 9*r(b). Let a(z) = 4*z + 2*z**2 + 0*z**2 - 4*z. Determine a(u(y)).\nAnswer: 162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 5)*(-9*t + 7*t - 10*t).\nAnswer: -120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q, 21294*r - 21290*r - 4*q + 28 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-225)\/(-6) - (-12)\/8. Let b = t + 62. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172926006 divided by -391.\nAnswer: -442266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/((-1290)\/(-129))*4\/6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 9*c - 7*c. Let p be 7 - (-4 - -1)\/c. Solve 3*l - p = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:21 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3\/2 - 18246093*t**2\/2 - 109476396*t - 328429026 = 0.\nAnswer: -6082019, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n - 1. Let q be h(-5). Let s(i) = -3*i. Let m be s(q). Suppose m*b - 42 = -15. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*p + 199461 = -28*p. List the prime factors of p.\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 - 44372.9.\nAnswer: -44348.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -a + 4*a - 36, 0 = 3*a - 4*d - 27. Let t(p) = -45*p**3 - 4*p - a*p**3 + 59*p**3 - 11*p**2 + 15. What is t(11)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -3 + 0 + -1. Let y = -8 - -8. Suppose z*j = -y*j + 48. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n - 9. Suppose n*x = -5*t + 19, -5*x + 10 = 3*t - 4. Suppose 5*v = k + k - x, -3*v + 4*k - 9 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -19 + -1967 + 1926?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/25201, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, -4\/25201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 11 = 2*x, 11*x + 2*u - 17 = 6*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 146*s**2 + 34*s + 3. What is the units digit of x(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -k - 105 + 100, 4*k = -3*a - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 8*v + 8, -r - 2*v + 155 = 0. Solve -r*t + 149*t = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.1504 nanometers in micrometers?\nAnswer: 0.3391504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, -0.1, 1\/201, -4\/5, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -495 divided by 4?\nAnswer: -495\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2. Let v(t) be the third derivative of -t**8\/20160 - t**5\/30 - t**2. Let k(y) be the third derivative of v(y). What is s(k(d))?\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -92263.6024 rounded to the nearest 10?\nAnswer: -92260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = -100. Let w(q) = -i*q - 2 + 27*q + 2. Let y(n) = -12*n**2. Determine w(y(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 250609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 57. Let w be p\/(-4)*(0 + 2). Is 6 a factor of 4581\/36 + w\/(12\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 11. Let j = 6 - t. Suppose p + 5 = 6*p. Which is the second biggest value? (a) j (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1628*n**2 - 58*n - 553. Is b(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86796 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2174? (a) 3 (b) 6.3 (c) 5 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) + -1*sqrt(385))\/sqrt(11))\/(-1*sqrt(448)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, t: 2, e: 1, q: 3, n: 1}. Give prob of picking 1 e, 2 z, and 1 q.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.91 - -18. Let b = l - 5.09. Sort -0.5, b, -2 in decreasing order.\nAnswer: -0.5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 15*o**2 + 4. Let f be l(-15). Suppose 5*v = -4*w - 28, f*v - v = -4*w - 20. Is (14\/4 + v)*-1726 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12500932621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + d + d - 5*d + 2*d to the form q + m*d and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00149271 to 5 decimal places.\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = -431*g + 18392 - 5225 + 9189 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -366 + 1099\/3. What is the third smallest value in -97, 4\/3, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w + 13*w - 27*w - 1)*(2 - 3 - 7)*(-3*w + 4*w - 4*w).\nAnswer: -24*w**2 - 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 5*q - 2*q**4 + (-2*q**2 + 0 + 0)*(2 - 2 + 2*q**2) + (-59 + 30 + 1)*(q - q - 2*q**4).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*p + 16 = 0, 5*p - 26 = -3*y. Suppose y = 3*k - 10. Let g = k - -105. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -49. Solve s + m*s = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*h + 953*h - 478*h - 140*h**2.\nAnswer: -140*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 137606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 - 10*d + 24. Let o be v(-11). Suppose 2*w + 2*j = -0*w + 10, -3*w = 5*j - o. What is the highest common divisor of w and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 + 4*f - 7. Let h be q(-5). Let t be 2\/((-8)\/(-6) + h). Let l = 28 + -27.5. Put t, l, -3\/2 in decreasing order.\nAnswer: l, -3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 6*r**3)*(5 - 4 + 2) - 3*r**3 + 2*r**3 - r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 529 + -533.49. Let f = w - 0.51. What is the second biggest value in 2\/17, 5, f?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292.9 + -294. Let w = -0.015 + -1.465. Let z = d - w. Round z to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, j: 1, a: 1, h: 2}. Give prob of picking 1 a, 2 h, and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -59*m**3 - m**2 - 40*m - 37. Give f(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2*2))\/(50\/150).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0376 rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 29, 27, 23, 17, 9, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/68)\/8*((-44)\/(-16))\/(-11)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591.365 - 0.01.\nAnswer: -591.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5eeb6 (base 16) to base 2.\nAnswer: -1011110111010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 607 + -611. What is the closest to 1\/5 in -4\/5, -3, d?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.004*0.03\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 297\/264*16\/3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/11)\/(m**2*m)*(m\/(m\/m**1))**46 assuming m is positive.\nAnswer: m**(471\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 285883, 285482, 284813, 283876?\n\"Answer: -134*x**2 + x + 286016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5657*h - 2073. Is a(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -144. Suppose -4*q = q - h. Suppose 187 = 3*t + q. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060101787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 67 - 10*s**2 + 108 - 41.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1959, -5005, -9133, -14331, -20587, -27889, -36225, -45583?\nAnswer: -55951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-8) - (3\/(-2) - 3). Suppose 69 = 4*b - 2*k - 181, p*b - 220 = -5*k. Let f = 70 - b. What is the remainder when 24 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1092)\/208)\/((21\/4500)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 87255 + 47167. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(-4*(sqrt(192)*2)**2 + -3).\nAnswer: -3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4900 is divided by 4635.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285475748 and 18736?\nAnswer: 4684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1. Let q(j) = -j**3 - 6*j**2 + j - 18. Calculate l(h) + q(h).\nAnswer: -h**3 - 6*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let q(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 5*v - 1. Let d be q(-4). What is the greatest common factor of m and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 43489 = -2*f, 8641 + 56599 = 3*f + 5*i. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269, 1, 0.\nAnswer: -269, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 370 + -209. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 9 (c) 1 (d) -108 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/4))**(-2\/19))**49)**(-1\/15) assuming l is positive.\nAnswer: l**(49\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:06 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301 = 30*x - 1 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 - 3*d. Let q be y(-2). Let f(g) = -g**2 + 9*g - 4. Let h be f(q). Let t(v) = -v + h - 14. Give t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3609691 is divided by 683.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/24 and -167\/86010?\nAnswer: 344040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241603186.\nAnswer: 2, 11, 103, 106621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89473256 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/15 - (-12)\/(-30). Let k = 50 - 201\/4. Let n = 2.4 - 3.4. What is the nearest to w in k, n, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (315 + 289 - 218)*(5 - 400*i + 398*i - 2*i**2 + 11) to the form z*i + q*i**2 + t and give q.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 q when four letters picked without replacement from {j: 1, w: 4, q: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 29*a**2 - 16*a. Let q(i) = i. Let b(g) = c(g) + 2*q(g). Find the second derivative of b(h) wrt h.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130090 = -1495*k - 10490 for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*y + 3*p, 35*p - 9 = -y + 32*p. Is -3\/251 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162802840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -674, -993, -1312, -1631, -1950?\nAnswer: -2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 2, k: 3, q: 2}. Give prob of sequence fq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-693440)\/240)\/(-394))\/((-22)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209357 + 51?\nAnswer: 209408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + 9. Let m = -40 + n. Let r = -2.4 - -0.4. Put r, 3, m in ascending order.\nAnswer: r, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*h = -3, -31*i - 4*h + 4 = -27*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*g**2*i**2 - c*i + 74*g**3 - 7*i**2 + 1 wrt g?\nAnswer: 2*c*g*i**2 + 222*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 9. Let g = -15 + p. Let r = g + 8.8. What is the smallest value in 4\/5, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 h when four letters picked without replacement from hhhwwwh?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 0*l**2 + 126*l**3 + 3 + 1 + 2*l**2 - 124*l**3 to the form n*l**4 + h*l + k + r*l**2 + t*l**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -495901\/13?\nAnswer: -495901\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 280 - 395. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2926*-12.48.\nAnswer: -36516.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5141 + 8031. What are the prime factors of h?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73146041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s - 107. Let q be x(-15). Put -9, -1, 3, q in ascending order.\nAnswer: -9, q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82*164994.\nAnswer: 13529508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 46\/3, -1, -0.2, 123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211.343 - 211. Let l = -0.34746 + g. What is l rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*w + 41232 + 57258 = -909*w + 293*w for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 62. Let x = -122 - -132. Let q be k(x). Let w = q + 170. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 4*m + m - 2*m + 4. Let o = 8 - 5. Is 9 a factor of i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-3\/8)\/c)*c)**(-1\/4))**(-50) assuming c is positive.\nAnswer: c**(875\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-14 - -7)) + (2 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*a - 86 + 86 in the form p + r*a and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**4 - h + 1. Let o(v) = -479*v**4 - 3*v - 722. Let r(c) = o(c) - 2*q(c). Find the first derivative of r(i) wrt i.\nAnswer: -1892*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -162 (b) 12357 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 244 = 2*d - 320, 0 = -2*d - 3*o + 560. Let q(h) = 284*h + 10 - d*h - 10. Let i(f) = 18*f. Determine -i(z) + 12*q(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -d, -3*v = -4*d + d - 18. Let r be -1*(0 + -1) + -1. Suppose r = -v*k + 13 - 1. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - 1 - (6 + -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/5, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 2. Suppose -3*r + 3*n + 21 - 3 = 0, -4*r + 5*n + 28 = 0. Suppose r*h = 4*g + 10, -4 = -3*h + g + 16. Suppose -7*w = 9*w - h*w. Give u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-1008)\/(-35))\/16)\/(3\/11425)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 154, 305, 456?\n\"Answer: 151*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26346?\nAnswer: 2, 3, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4635225 divided by -2943.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23462263.\nAnswer: 11, 97, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691069117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9815918 greater than -9815918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31808 and 4032.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/21*(-27)\/21.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56876 times 0.1?\nAnswer: -5687.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-12)\/24). Suppose 9*v - 18 = -4*w + 11*v, w - 2*v - 6 = 0. Let u = 20\/39 - 43\/312. Which is the third smallest value? (a) w (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/30 and 191\/39217560.\nAnswer: 39217560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. What is the tens digit of 11\/((4\/(-2))\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d424 - -6c1?\nAnswer: -7cb43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7019916 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 6 - 2515*c - 6.\nAnswer: -2515*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 18*q - 152 = 0. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {w: 8, y: 2, u: 1, z: 2, c: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 956541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6040, 6033, 6012, 5971, 5904, 5805?\n\"Answer: -j**3 - j**2 + 3*j + 6039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889.0121l to millilitres.\nAnswer: 889012.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**(2\/7)\/n)\/n)\/n*n)**(-2\/55)*n*n**(-4)*n**(-2\/7)*n*n)**(-28) assuming n is positive.\nAnswer: n**(388\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 - 1 - 3 + 6 + (4 + 1 - 3)*(-7 + 2 + 4) + 1 - 3 + 0 + (-3 + 2 - 1)*(-2 + 2 - 1))*(-10*s - 12*s + 4*s).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*f - 364 = 0, 0 = 3*h - 4*f - 849 - 298. Let y = -180 + h. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*c + 9*c. Let l(v) = v**2 - 2*v + 4. Let b be l(c). Let j be -4*(14\/b - 4). Solve 2 = q - j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/3*(-6)\/(-4). Let d(f) = -f**2. Let q(n) = n**2. What is x*d(c) + q(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1)**(-8)\/(l**(-3\/11)*l*l\/l**(-5\/6)))\/(l\/(l**0\/l)*l**(3\/7)*l**(-2)*l*l**6*l) assuming l is positive.\nAnswer: l**(-5077\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d**3 + 46*d**3 + 25*d**3 + 35*d**3.\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39500, -39516, -39550, -39608, -39696?\nAnswer: -39820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 336 times -3.6\nAnswer: -1209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*c**2 + 46*c**2 - 113*c**2 to l*c + a*c**2 + k and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.98 - 5. Let i = 6855 + -6831. What is the third biggest value in -4, d, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -73, -119, -181, -265?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -1. Let t = -8 - c. Sort 1, -4, t in descending order.\nAnswer: 1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/8673 and 25\/190806?\nAnswer: 190806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6277357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 25. Let d = 11 - k. Calculate the remainder when -10*(-5)\/((-20)\/d) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -365 - -360. Let r(i) = -3 + i**2 + 3*i - 2*i + 7 + 4*i. Let f be r(-3). Put 3, o, f in decreasing order.\nAnswer: 3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:27 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 + 256?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c + 36. Suppose -4*d + 12 + 22 = 3*u, u + 2 = 2*d. Calculate the smallest common multiple of (c\/(-16))\/((-1)\/(-8)) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*3\/2. Is 2 a factor of 323\/51 - s\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1000, 2001, 3018, 4057, 5124, 6225, 7366, 8553?\nAnswer: 9792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*f - 103205*f**3 - 443*f - 52325*f**3 + 222*f.\nAnswer: -155530*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*-1*(4*(-5 + sqrt(272)))**2 + 2).\nAnswer: -85542 + 11520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351, -319, -1971, -4605, -8221, -12819, -18399?\nAnswer: -24961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 249, 390, 587, 840?\nAnswer: 1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7) - (-14)\/((-6468)\/150).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -20718*z + 103601. Give b(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*v - 5*v. Suppose 4*b + b - 37 = -3*t, 3*b = v. Find the third derivative of 11*c**t + 11*c**4 - 30*c**4 + 22*c**2 wrt c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5858604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/10)\/(3\/(-18)). Find the second derivative of -10*a - 2*a**n - 3*a - 9*a**3 + 0*a**3 wrt a.\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c - 22. Let z be n(-3). Solve l - a = -3*l + 2, -z*l - 5*a + 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -263?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*o**2*r**2*u + 13*o**2*u**2 + o**2*u + 252*o*u**2 - 30*r**2*u**2 + r + 8 with respect to r.\nAnswer: -74*o**2*r*u - 60*r*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*c - 51, y - 22*c = -19*c + 13. What is the remainder when 348 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243979834?\nAnswer: 2, 621989917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from hhtehhhehhhhteeoh.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-72)*87 - -9. Let r = -7 - -7.1. Put r, 2\/5, 0.04, w in decreasing order.\nAnswer: 2\/5, r, 0.04, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-6)*d**2)\/(d**1)**6)**(-14) assuming d is positive.\nAnswer: d**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1025)\/164*24\/(-5). Determine t, given that 35*t**3 - 35*t - d*t**3 - 20 + 5*t**2 + 15*t = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*s + 192, -10 - 174 = -3*s - p. Calculate the least common multiple of s and 14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 21220*j + 8 - 36 + 4874*j + 9 as w + g*j and give g.\nAnswer: -16346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/269216 and 73\/20048?\nAnswer: 1884512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14154 (base 7) to base 14\nAnswer: -159b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = -58. Calculate the remainder when d is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*m + 2226692, 37*u - 34*u = -5*m + 2783365. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86236?\nAnswer: 2, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - 32 = 0. Let d = -2.3 + 2.6. Which is the second smallest value? (a) d (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 55*j**2 - 20*j - 290. Calculate q(28).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 66 = 3*i, 5*i - 155 = 4*c. Suppose 0 = -4*g + 5*b + i, -g + 4*b = 2*g - 21. Solve 4*y - 11 = -g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) 5 (c) 1895.2025 (d) 0.4 (e) 0.1 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from upohhuoohouoxohou.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n**2 + 5 + 28*n**2 - 10*n**2 - 3*n. What are the prime factors of z(2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 5. Suppose -1 + 5 = 2*a - 5*k, -4*k - 10 = -y*a. Solve v = a*b + 2*b + 12, -2*b - 6 = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1078 + 1054 = 12*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3ab - -5542?\nAnswer: 5164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32219 and 138127.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -242\/5747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d - 54*d + 186 = 0. Put -5, d, -3, 1 in decreasing order.\nAnswer: d, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-5)*169\/(-5408)*80.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 + 2*k - 6. Let r be s(-4). Let l = -7 + 22. Solve -r*a = a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 38 - -1 - -12 - -1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4609*j + 40*j**2 - 88*j**2 + 2 + 0.\nAnswer: -48*j**2 + 4609*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 14751\nAnswer: -1\/1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 784, -0.42, -54?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4723*129.328\nAnswer: -61.0816144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/17, -2\/3, 2\/13, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 20924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 296 - 302 - a + 596)*(-1 - 3 + 1).\nAnswer: 6*a**2 + 3*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2638\/11 + -240. Let h = 5 + -21. Let p = 12 + h. What is the nearest to z in p, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11943 and 0.08.\nAnswer: -11942.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -i - 4*t, 3 = -t - 2*t. Suppose 2 = -2*k + i. What is the remainder when 46 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 130*s - 170. List the prime factors of g(9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-214)\/8 - 4\/16. Let y be 21\/w - (-6)\/(-27). What is the closest to 2\/9 in y, 2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911284 is divided by 11246.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1 + 774\/54 + -9?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -11. Let a = r - 5. What is the closest to 2\/9 in -2, a, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160746600 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*((2 + 1 - 2)*(2*j + j - 5*j) + j + 4*j - 2*j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9867388 and 99\/601670.\nAnswer: 49336940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35511521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5525 and 182.\nAnswer: 77350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3889546.97 rounded to the nearest ten thousand?\nAnswer: 3890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*u = 649 + 185 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 9, g: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence momm when four letters picked without replacement from ommmmmmmmoomqmmm?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/25)\/(2\/(-1645)). Let z = -261 + t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -15*h + 17*h. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 - -f?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60973 is divided by 1067?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 85\nAnswer: -13\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4813, -47330, -162733, -387466, -757973, -1310698, -2082085, -3108578?\n\"Answer: -6074*q**3 + q**2 - 2*q + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59 or -648\/11?\nAnswer: -648\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64.56528 nanometers?\nAnswer: 0.00006456528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.013 - -0.893. Let o = -4.18 - -6.65. Let k = o - t. What is k rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.076*-1.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from jjnjqnjqjjqcqcjj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 599.2604469 to 2 decimal places.\nAnswer: 599.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 181991 = -117609. Round h to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -14*b - 4. What is the tens digit of w(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2\/7, -1.86, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.37812646 + -10.7\nAnswer: -11.07812646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 3*r + 3. What is q(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 7) + 3 - (13 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 10224\/13, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(3) + sqrt(44))\/sqrt(2))\/(sqrt(16)\/(sqrt(8)*1)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -1.1. Let i = 1 + a. Let o = -0.3 - 0.7. Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.16832 - 0.11232. What is l rounded to one decimal place?\nAnswer: 18.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - t + 4. Let q = -3 - -3. Let r be n(q). Suppose 3*j - 28 = a - 0, -r*a = -j + 24. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 219*m + 6019. List the prime factors of j(0).\nAnswer: 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*p = 12, 3*v - p = 2*v + 4. Suppose -4*y = -v*y + 16. Let g be 3 + y + 2 + 2. Solve 9 = g*i - 0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjr when three letters picked without replacement from {o: 8, r: 4, i: 1, j: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (30 - (-90 - (28 + -75)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -173 and -81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(4\/88*-2). Suppose -x*r = -38*r + 25. Let k = -21 + 23. Solve r*q - 9 = k*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 23. Suppose 5*w - r = -2*n, -5*n - 3*w + 11 = -12. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553895 + 16.37\nAnswer: 553911.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 25. What is p(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4818*q**2 - 2*q. Let n(f) = 46724*f. Give n(r(h)).\nAnswer: -225116232*h**2 - 93448*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 - 1001101?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -511*j**4 + 1304*j**4 + 605*j**4 - 6*j**4 + 5*j**4 + 3*j**4 + 5*j**4 - 2*j**4 - 4*j**4 + (2*j**4 + 3*j - 3*j)*(1 + 1 - 4) + 3*j - 3*j - 2*j**4.\nAnswer: 1393*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010562 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392685 and 564?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1. Let v(k) = 3*k**2 + 2*k + 4. Let i(z) = 3*z**2 - 17*z - 11. Let o be i(6). Give o*h(p) + v(p).\nAnswer: 3*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 130 = p - t, -4*t = 2*p - 230. What is the highest common divisor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**6\/15 - d**4\/4 - 4*d**2 - 12. Let o(b) be the second derivative of h(b). What is the second derivative of o(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 219896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71, -25, 47, 157, 317?\n\"Answer: 2*r**3 + r**2 + 29*r - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -145*s - 262. Calculate a(-5).\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-28)\/(-12))*-5. Suppose 19 = 2*l - 3*s, l + l + s = t. Calculate the highest common divisor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, 0.2, 1\/21 in decreasing order.\nAnswer: 3\/4, 0.2, 1\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1909478053 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. Suppose 4 = t, t = -5*i - w*t + 4787. Suppose 2*g = -3*g + i. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244761 = -15*o + 794136. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 - 215. Let i = y + -50. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2.9. Let n = m + 4.1. Let c be (24\/(-100))\/(9\/(-30)). What is the nearest to 1\/2 in n, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125*m**2 + 140 + 2*m + 175*m**2 - 52*m**2)*(-6*m + 0*m + 8*m) in the form q + j*m + f*m**3 + p*m**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 524\/(-4454)*((-68)\/6)\/(16\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - a23?\nAnswer: -a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3830195726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26925 and 14325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -121 and 15785.\nAnswer: 15664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b + 2. Suppose -t - 3*r + 21 = -0*r, 3*t - r = 33. Let p be 1\/((-14)\/t + 1). Let f be 0\/2 - (8 + p). Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46 - -49)*626\/6. Let b = v + 906. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(4840\/1320 - (-2)\/(-6)*-1). Solve y*q - 13 = k, -q - 34*k + 31*k - 11 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189.5 <= 84971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176\/3 + 58. Suppose -4*z + 7*z = -4*x - 30, -4*z - 3*x - 33 = 0. Let q be (z\/72)\/(4\/(-6)). What is the second biggest value in g, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 + 9 + 87*s + 3 - 93*s. Let k(q) = 5*q - 11. What is -6*g(j) - 7*k(j)?\nAnswer: j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 16*l**3 - 15*l**3 + 0 + 0.\nAnswer: l**3 + 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/14934 and -17\/6.\nAnswer: 14934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*d**3 - 5*d + 5*d)*(-44 + 2 - 7).\nAnswer: -2401*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*a**4 - 28*a**5 - 23*a**5 + 52*a**5 - 16 - 19*a**5 + 16 + (0*a - 4*a + 3*a)*(-2 + 2 - a**4).\nAnswer: -17*a**5 + 29*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2539 (base 10) to base 7.\nAnswer: 10255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/28)\/(-4)*4\/(-4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10)*((-35)\/10 - -6). Let f(x) = x**3 - x**2 + x - 2. Let b(s) = 2*s**3 - 44*s**2 + 3*s - 1. Let i(g) = a*b(g) + 3*f(g). Differentiate i(z) wrt z.\nAnswer: 3*z**2 + 82*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148590 divided by 29718.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -56*-2\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2055900 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 + 123100405*p**3 - 5316755*p**2.\nAnswer: 60*p**2 + 738602430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22151188 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: Let d = 22 - 21. Let v = 6 - d. What is the second derivative of c**5 - c + 2*c**v + 3*c - 3*c wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1011, 2015, 3011, 3999, 4979?\nAnswer: 5951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24907, -49818, -74729, -99640, -124551?\n\"Answer: -24911*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0501 plus -192089095295?\nAnswer: -192089095295.0501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -107. Let z = -26 + c. Sort 0.3, 2\/23, z in descending order.\nAnswer: 0.3, 2\/23, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -1, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 2*j + 10. Let x = -3979 - -3991. Calculate the remainder when w(8) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -113, -281, -557, -965?\n\"Answer: -4*d**3 - 18*d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -210479.\nAnswer: -210478.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 401132*d**2*p + 2047123*d**2 + 10*d*p**4 wrt p.\nAnswer: 401132*d**2 + 40*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8837, -17675, -26513?\n\"Answer: -8838*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44240348 plus 0.5?\nAnswer: 44240348.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2393161 is divided by 5180.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 - 8*j - 9. Let b be w(-6). Suppose -2*a - 2 = -4*a. Suppose 0 = -z - 4*o, -o - 2 = z + a. Put -3, z, b in decreasing order.\nAnswer: b, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.0216mm to centimeters.\nAnswer: 84.50216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.26918 rounded to one decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5497 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let x be (-2)\/4 - (-91)\/14. Let v(a) = -x*a + 18*a + 12*a - 4*a. Determine z(v(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, 1 f, and 1 x when four letters picked without replacement from {w: 3, k: 1, h: 1, b: 4, x: 1, f: 4}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2515*y**2 - 15*y - 82. Let z be h(-7). Suppose 0 = -2*t - 5*n + 82197, -3*t + 6*n - n + z = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 2814126878.187?\nAnswer: 2814126877.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18354184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338 times -0.1?\nAnswer: 133.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 - 2*o**4\/3 - 121*o**3\/3 - 124*o**2\/3 - 20*o\/3 = 0. Calculate o.\nAnswer: -2, -1, -1\/5, 0, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1424, -84\/55, 0, -14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3*c**2\/2 + 2095. Let a(k) = -42*k. Give o(a(z)).\nAnswer: -126*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29946 is divided by 1663.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 77679. Let q(w) = -w - 448. Give q(h(x)).\nAnswer: -x - 78127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c - 2. Let y(f) = -342*f - 798. Let x(a) = 38*k(a) + 2*y(a). Find the first derivative of x(t) wrt t.\nAnswer: -950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, -138, -394, -752, -1212?\n\"Answer: -51*q**2 - q + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -1, 7, -4\/5, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Let g(y) = y + 1. Let f(a) = 91*a**2 + 273*a + 273. Let s(m) = -2*f(m) + 546*g(m). Give j(s(p)).\nAnswer: -33124*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 10*k**3 - 10*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 335, 1337, 3007, 5345, 8351, 12025?\n\"Answer: 334*t**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 - 34\/6. Let w = 11482 + -11475. Is 0 + 968 - (u + w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 8*h**2 + 8*h + 10. Let r be x(9). Let j(b) = 306 - b - 305 + 4*b**2 + 4*b**2. What is j(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 723*m**2 - 1231*m - 51577. Calculate q(-363).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = 43. Suppose -q*z + 765 + 255 = 0. What are the prime factors of z?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71046.91 hours to minutes.\nAnswer: 4262814.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*i**4*n**2 - 298*i**3*n**3*x**3 + i**2*n**3*x - 12*i**2*n*x + i*x**3 + 6*n**3*x**3 wrt i?\nAnswer: 312*i*n**2 - 1788*n**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/4)\/o**(-1\/9) assuming o is positive.\nAnswer: o**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -67.\nAnswer: -67, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(((-104)\/312)\/((-14)\/3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) - sqrt(72) - (3 + sqrt(6)\/sqrt(3)))*-3 - ((sqrt(240)\/sqrt(4))\/sqrt(10))\/(sqrt(12)*4))*-4.\nAnswer: -36 - 23*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q + 1. Let b(n) = 3*n**2 - 2*n - 201 + 41*n - 15*n**2 + 0. Let r(v) = -b(v) - 9*g(v). Suppose r(p) = 0. Calculate p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 2. Let v = s - -5.05. Let d = v + -0.09. Round d to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -269, -598, -1071, -1688, -2449, -3354?\n\"Answer: -72*z**2 + 31*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129227 is divided by 75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*v - 219*v - 1279*v**2.\nAnswer: -1279*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmttmmtttmtmt. Give prob of picking 3 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -559*x**2 - 26894*x + 116913501 with respect to x.\nAnswer: -1118*x - 26894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.999835. Round k to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjj. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006002663231 to seven dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77, 172, 323, 530, 793?\n\"Answer: 28*k**2 + 11*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.740339 milligrams in kilograms?\nAnswer: 0.000006740339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((4\/(-222))\/((-42)\/2079*11)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 b, and 1 a when four letters picked without replacement from {a: 1, q: 2, s: 5, l: 3, b: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96582? (a) 1\/4 (b) 1\/3 (c) 0.2 (d) -3.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 104*h + 14226. What is d(-137)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:10 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.8 - -16. Let d = -6.9 + f. Let i = -2.69951 - d. Round i to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*-2*sqrt(272).\nAnswer: -4 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4 - 0. Let l be f*1 - (-40 + 2). Let n = 69 - l. Calculate the remainder when n is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - g + 7. Let v(y) be the third derivative of -y**3\/6 + 2*y**2. Let x(o) = -f(o) - 3*v(o). What is the tens digit of x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**20)**(2\/9) assuming p is positive.\nAnswer: p**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -35\/12*b**4 - 30*b**2 + 0 - 1\/4*b**5 - 9*b - 40\/3*b**3. Let f(v) = 0. What is v?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*p = 40, 0 = -2*j - j + 5*p - 13. Solve -3*z - 3 = -j*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*-743\nAnswer: -17089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 5*o**2 - 5*o + 3. Let c be r(-6). Let k(l) = -4*l + 32. Let t be k(8). Suppose 4*x + 4*j + 8 = 0, 3*j + 4 = x + 2*j. Sort t, c, x.\nAnswer: c, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 30. Suppose -2*d = -x - 443. Let a be 1\/(-2) - d\/(-8). Solve -5*p + a = 5, 4*i - 17 = -p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - 41) + -6 + 8 + 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 475 - 102 = -3*w, 0 = 2*w + 2*j + 258. Let t = w - -633\/5. What is the closest to -1 in t, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.589 + 5.589. Let v = 7 - 8. Let k = -0.98 - v. Which is the biggest value? (a) 0.5 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + 0.09. Which is the second biggest value? (a) 2 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyssbpjsbspssyysss. Give prob of picking 1 b, 2 p, and 1 y.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1222 * 99.1\nAnswer: -121100.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -6, -2\/3, -0.5, 7, 193686?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/120 - 7*u**5\/60 + 5*u**4\/24 + 4*u**3\/3 - u**2. Let k be f(6). Suppose q + k = 10. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 162?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 109, 4, -4 in descending order.\nAnswer: 109, 7, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 - (14 - (27 - 21 - -15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**5 - 7*v**4 - 13*v**3 + 7*v**2 + 8*v + 1. Let u(n) = -n**5 + n**4 + n**3 - n**2 + n - 1. Let b(y) = h(y) + u(y). Factor b(k).\nAnswer: 3*k*(k - 3)*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161 by 1.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40744.23 and -5.\nAnswer: 203721.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -57132?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611 divided by -1.\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.903 + 0.9. Let i = v + 0. Round i to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -9 + 27 - 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -68?\nAnswer: -11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8 + -11 - (119 - 13 - 38)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 614343787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 21*n + 9. Let v(j) = 9447*j + 113356. Let r be v(-12). Let w(x) be the second derivative of -16*x**3\/3 - 7*x**2 + x. Give r*d(f) - 5*w(f).\nAnswer: -8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 - -228. Which is bigger: h or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 27*o**2 - o + 2 - 4 + 16*o**2. Let b be s(-2). Calculate the common denominator of -11\/6 and -2 - b\/(-66) - -1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 = 3*a - 39, a + 32 = c. Suppose 8*p = 4*p + 2*p. Suppose 0 = -3*j - p*j - j. Solve 3*s + 4*l + 7 = -j*l, -c = -4*s + 4*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6383 + -6380. Solve 3*r - 3*v = -b - 6, 4*r - 2*v + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.4. Let j be ((-75)\/(-27))\/5 + (-12)\/(-27). Let g = 26.7 - 20.7. Sort u, j, g, -0.3 in increasing order.\nAnswer: u, -0.3, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k*k**(-1\/2))**(2\/95) assuming k is positive.\nAnswer: k**(1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26a16 (base 14) to base 11.\nAnswer: -65645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u + 4950000. Round u to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -5 (c) -1\/10065 (d) 2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 3*i**2 + 2*i - 1. Let y be j(3). Suppose -3*l - 3*x = -3408, 3*x = -7*l + y*l + 2275. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 0*j**2 - 33\/140*j**5 + 5\/98*j**7 + 105*j - 1\/10*j**6 + 1\/4*j**4 + 3\/7*j**3 + 0. Solve z(v) = 0.\nAnswer: -1, -3\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3794, -5 in ascending order.\nAnswer: -5, 2, 3794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-4 + 10)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c**2 - c - 2. Let l be h(-2). Let r be (-3)\/6 - 22\/l. Suppose 0 = r*u - 43 - 127. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 1628700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -25*i**3 + 5*i**2 + 5*i + 4. Let z = 4445 + -4452. Let g(d) = 38*d**3 - 7*d**2 - 7*d - 6. What is z*j(w) - 5*g(w)?\nAnswer: -15*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6*-4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 8*w**2 - 46*w + 12. What is q(10)?\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -7 + -4 + (27 + (12 - 24) - -1)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*y + 8 + 5, -2*y - 16 = 2*j. What is the tens digit of (y - 52\/(-12))*(-318)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2144\/256)\/67 + (-3)\/((-24)\/(-2969)). Do y and -374 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -206060.5 less than -8.234?\nAnswer: 206052.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-105) + 745\/105. Suppose -2165 = -b*j + 1706. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011120001 + 12121020?\nAnswer: -10221221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 2*z**2 + 2841*z + 11361. Determine r(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/35 - -2)\/(61\/1830)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3 - 3490*r**2 - 379184*r - 9999392 = 0.\nAnswer: -52, 1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -1575?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1.3 (c) 0.07 (d) -3 (e) -0.5 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 6*u - 3. Let s be g(0). Let z = 6 - 11. Which is the third biggest value? (a) s (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2*k - 2. Let i be b(5). Suppose -16 = 8*z - 12*z. Let o be (-1)\/z + (-522)\/(-8). Calculate the highest common divisor of i and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96662.34 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/((-4)\/10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - c27a07?\nAnswer: -c27a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/66845 and 89\/140.\nAnswer: 1871660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 4. Let j(l) = 4*l - 7. Let q(c) = -4*j(c) - 7*r(c). Let u(s) = 6*s**2. Give q(u(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 18, 5, -24, -75, -154?\n\"Answer: -v**3 + v**2 + v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(160))\/sqrt(3).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78\/785 + -1097\/3140. Let m be (2 - (-1)\/(-1))*-3. Sort 7, o, 3, m.\nAnswer: m, o, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 3597?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from uqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 34713, 8 in ascending order.\nAnswer: 7, 8, 34713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Let x be (-2)\/(-9) - 40\/990. What is the third smallest value in 3\/4, t, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 42304*i - 1565924864.\nAnswer: -2*(i + 74032)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 9334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -43*v**6\/15 + 41*v**3 + 141*v**2. Differentiate h(r) wrt r.\nAnswer: -1032*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.17 (b) 0.4 (c) 0.1 (d) 15\/8 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 6. Let b(n) = -32. Let m(y) = -51. Let v(f) = 8*b(f) - 5*m(f). Give c(g) - 5*v(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317\/6 + 53. Let m(p) be the second derivative of -2*p - 1\/8*p**2 - 1\/8*p**4 + 0 - 1\/120*p**6 - 1\/20*p**5 - c*p**3. Factor m(k).\nAnswer: -(k + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 16}. What is prob of picking 3 p?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9440 divided by -236.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101533263?\nAnswer: 3, 13, 29, 107, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -102*l + 1023. Calculate the remainder when 9171 is divided by k(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -910.79 + 906. Let t = p - 1.21. Put t, -2, -0.03 in ascending order.\nAnswer: t, -2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-1550)\/(-75))*(-15)\/4*(-198)\/(-45).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = -k, 0 = -k + b - 2*b + 14. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k**2 - 2*k - 2. Suppose 3*y = 5*r - 31 - 16, 4*r + 5*y = 45. Let s(w) = 2*w**3 + 6 - 1 + 5*w + 0*w**2 - 5*w**2. Give r*t(j) + 4*s(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 2*y**2 - 348580*y**3 - 121585*y**3.\nAnswer: -470165*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24439 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4 = -3*a + k, -8*a - 4*k = -7*k + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 3*l - 18. What is the units digit of s(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -589*i**3 + 2*i**2 + 110*i wrt i.\nAnswer: -3534*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 4, 1\/7, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/3 (b) 2 (c) -2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3*v**3 - 2*r**3 - 28*r**2*v**3 + 15*r**2*v**2 - 3*r*v**2 - r*v - 399*v**3 - 1351*v**2 wrt v?\nAnswer: 12*r**3 - 168*r**2 - 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372) + -2 + 4)*-2 + -4 + 0.\nAnswer: -28*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*v + 1 + 11, -4*d = 2*v. Let g(k) = -k**3 + 7*k**2 - 7*k. Let n be g(v). Solve -6*f = -f + n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37484662*p**3*r*v - p**2*r + 12*p**2 - 15*p*r*v - 9*p*r + 238*v wrt p?\nAnswer: 224907972*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*i + 510 = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.24739 to one dp.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(20)\/sqrt(4)*3.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**4\/24 - 7*r**3\/6 + 7*r**2. Let u be f(9). Let n = -816 - -826. Solve 4*k + u = -n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -11\/3, 66, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in -7, -15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 4. Let f be a(6). Let i = 1 - -3. Sort i, -4\/3, f.\nAnswer: -4\/3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 12*a - 2. Determine g(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-2) + 9)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2170494 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-1)\/2)\/(4\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 12*w = 2*l + 126, -2*w = -l - 4361 + 4373 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 103.7244 decades?\nAnswer: 1.037244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 11*w - 5. Suppose 2*d - 2*j = 46, w*d - 2*d - 4*j = 64. Calculate the greatest common factor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/14 - (-3 + 57\/21). Suppose -5*l = -4*p - 55, l + 3*p + 13 = -p. Let x be 1*-2 + 0 + l. Sort -3, x, y in decreasing order.\nAnswer: x, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 18*i**2 + 28*i + 13. Let p(f) = -4*f - 3. Give -3*m(q) - 28*p(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -113 + -2508?\nAnswer: -261b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5270 - -5273. Solve -r*a + s + 2 + 16 = 0, a = 3*s + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2719 - -4010. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 1, p: 1, k: 1, l: 1, h: 2}. What is prob of sequence lk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18 = k, 0*r - 3*r = -3*k - 18. Suppose 3*s + a - 241 = 0, -3*s - r*a + 236 = -7*a. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 108. What is the remainder when 51 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 8*n**2 - 11*n + 6. Let d be s(-6). Suppose -3*r + 4*x - 23 = d, 2*x + 10 = -2*r + 4. Put -3, -1, r in decreasing order.\nAnswer: -1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -821?\nAnswer: -5747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -667798*q**5 - 105*q**2 + 2038.\nAnswer: -40067880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a factor of 3098016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3507 - 1233 = -105*j - 2451 + 315 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9504 - -9399. Suppose -2*f = -3*b - 0*f - 314, 5*b + f = -532. Is b >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -330.1 + 329.2. Which is the nearest to -1\/6? (a) 0.1 (b) -2 (c) p (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 9*i + 16. Let n be h(10). Let l = 8 - n. Suppose -5*g = -4*z - 9, -l*g - 2*z = -1 - 17. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6256 and 4675816?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmnmmvvvnnvmmmmvv. What is prob of picking 1 m, 1 v, and 1 n?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.15336 times -0.05366\nAnswer: -0.0082292976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/3 - 2\/3. Suppose i - 16 = 5*v, -2*v - 36 = 2*v + c*i. Let b(n) = 2*n + 6. Determine b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (1 - 0 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = -4. Let y = 1.9 + -0.9. Which is the biggest value? (a) y (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11590.\nAnswer: 2, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 7945 = 2862. What is the highest common factor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/9*-1*(-3024)\/(-52080)*-31?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 4*t**2 - 5*t - 3. Let n be m(-3). Suppose b = -n*b + 2*v + 154, 0 = 5*b - v - 194. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2*s - 4*b - 7, -4 = -3*s + b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 4. Let g = h + 51. Which is greater: g or -3\/31?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13*u = 15*u - 192, 4*x = -3*u + 256. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221212002 + 10211?\nAnswer: 221222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 4, 1\/2, -11\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 10)*(-2 + -57). Let o be 1 + 1\/(-1) - 2. Is (o\/(-4))\/((-5)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:40 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (325 + -332)\/(15\/9 - (-2)\/(-3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000226 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2883 or 2876?\nAnswer: 2876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/6 - 15*n**3 + 4717*n**2. What is w(17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1228 and 29631026.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52547 and 0.3.\nAnswer: -52546.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302719.6ml to litres.\nAnswer: 302.7196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*s + 4766*h + 29075*s wrt h?\nAnswer: 2*s + 4766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3118*l**2. Let y(h) = -77*h**2 - 9*h + 9. Let b(a) = -34*a**2 - 4*a + 4. Let u(j) = 9*b(j) - 4*y(j). Give v(u(m)).\nAnswer: -12472*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 11*c**2 - 11*c - 19. Determine w(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from mbymmbcmccb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -698\/3 or -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k + 127. Let j be m(-25). Suppose -8208 = -17*t - j*t. Calculate the highest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s + 46*s - 97*s**2 - 32*s - 17*s + 40 + 15*s in the form c*s**2 + t + z*s and give c.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4718, 4716, 4714, 4712, 4710?\n\"Answer: -2*h + 4720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -0.3, 3, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4355560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*l**2*y**2 + 2*l**2*y - 4*l*y**2 + 4*y**2 - 5 wrt l.\nAnswer: -16*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - j = -3*v + 16, 12 = -3*j. Suppose 32 = -0*x + v*x. Calculate the lowest common multiple of x and 15*(-5)\/((-15)\/4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -8*g**6\/15 - 31*g**5 - 519*g**4 - 2090*g**3\/3 + 722*g**2 - 807*g. Solve v(o) = 0 for o.\nAnswer: -19, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let q(i) be the first derivative of i**3 + 3. What is x(q(n))?\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9555 + 4900 = 290*a + 2565. Calculate the remainder when 1112 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2\/6*3\/63. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2 - 1. Suppose -p*o = -g + 25, -5*g + 2*o = 5*o - 89. Calculate the highest common divisor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lballlaalm. Give prob of picking 1 l, 1 m, and 2 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/30 + 2\/(-3) + 1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10011?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let b be v(-4). Let h = -17 + 20. What is the third derivative of -2*g**3 + 2*g**2 + 2*g**3 + b*g**h - 6*g**2 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.0654\nAnswer: -0.1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) -2.9 (c) 0 (d) 2\/11 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 34*w**2 + 5*w - 84. Let o(h) = 11*h**2 + h. Give a(t) - 4*o(t).\nAnswer: -10*t**2 + t - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 61*h + 9505. Calculate l(-156).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 77. Let w be (t*(-3)\/(-30))\/((-8)\/(-860)). Let q = w - 84. Solve -6 = 7*x - 3*x + q*v, -3*v + 5 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7 - 5)*(-2 + 0 + 1)*(-4 - 6*h + 4).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 6 + -1 + -7 + (-5 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooxo when four letters picked without replacement from {x: 3, o: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsnsffkssssn. Give prob of sequence fnn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + 2 + 1*sqrt(130)\/(sqrt(110)\/(sqrt(11) + sqrt(33)\/sqrt(3))).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/68, 1\/3, -0.5, -0.42, 5?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**2\/11 + 384*m\/11 - 13786\/11 = 0. What is m?\nAnswer: -61, 113\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-31 + 2) - (-1 - -4). Let w = -31 - t. Sort w, 16, -5.\nAnswer: -5, w, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 37*a + 45. Let n(p) = 9*p + 11. Let f(i) = 9*n(i) - 2*w(i). Let u = -5 - -9. Suppose -u*b - 7 = 5. Let g(s) = 4*s + 5. Give b*f(d) + 5*g(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:52 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 754 and 0.5?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ppppeeeeeeeepppeepp.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 890 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2)\/(-4)*26\/(-65). Let c(k) be the second derivative of 0*k**3 + m*k**2 + 0 - 1\/100*k**5 + 13*k - 1\/20*k**4. Determine t so that c(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, h: 2, q: 2, i: 5}. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -370, -632, -934, -1276, -1658?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y + 324. Calculate u(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -501.562+1.5\nAnswer: -500.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b*z**3 + 82*b*z**2 + 104*b*z + b - 2292967*z**3 - 10*z**2 + 5*z - 1 wrt z?\nAnswer: -24*b - 13757802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7866\/(-874)*1\/165.\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 7. Let t be p(-5). Let l = 7 - t. Let m = 12 + l. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from {e: 9, n: 2, f: 1, i: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.1 - 27.3. Which is the second smallest value? (a) n (b) 1 (c) -1\/2 (d) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 1. Let q be f(-1). Suppose q = 4*i - 3*i. Solve -i*n - 2*h + 8 = -n, -n + 3*h = 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 39195.\nAnswer: -39198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1324849, -1324836, -1324823, -1324810?\nAnswer: -1324797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**2 + 59805*q + 2744682 = 0.\nAnswer: -19889, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0349169586 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3229, -3222, -3203, -3166, -3105, -3014?\nAnswer: -2887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*z = -3*f + 4, 3*f - 3*z = 24. Solve 3*u**4 + 51*u**2 + 2*u**3 + 0*u**f - 52*u**2 = 0 for u.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 18. Solve -3*q - 12 = -o*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*h = -88*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o + 3. Let z(f) = f. Let t(j) = u(j) + 3*z(j). What is t(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*b + 7. Suppose -n + b*c + 47 = 0, -12 = c + 2*c. Calculate the remainder when n is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4309*9207\nAnswer: 39672963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -2*h - 17561, -4*h = 3*p - 17591. Let v = 35065\/6 - p. Calculate the common denominator of v and -88\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 2559 - 31*q**2 - 13*q**2 + q**2 + 45*q**2 in the form g*q + f + o*q**3 + k*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1554484 divided by -3\nAnswer: 1554484\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/5)*k)**(-35)\/((k**(-4)\/k)\/(k*k**(-1\/3))) assuming k is positive.\nAnswer: k**(-214\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 19*i - 82. Let x(w) = 18*w - 83. Let z(g) = 4*b(g) - 5*x(g). Let r be z(6). Solve 12 + 3 = -r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2044 - -2091. Calculate the remainder when 2205 is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/((-24)\/(-56)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, -4, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 34*p**2 + 191*p + 38. What is g(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2. Suppose -52 - 24 = -19*n. Let w(l) = -n + 4 + 0*l + 2*l. Determine w(t(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-13)*z**7\/z)\/(z**13\/z**(7\/4)))**(2\/21) assuming z is positive.\nAnswer: z**(-73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73040 - 73035. Let q(l) = -l**2 - 2. Let f(g) = -3. Let c(d) = 3. Let y(b) = 4*c(b) + 5*f(b). Give o*q(z) - 4*y(z).\nAnswer: -5*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 6*w**2 + 3*w**2)*(0*w + 4*w + 2*w) + (4*w**2 + 0*w**2 - 2*w**2)*(w - 2*w + 4*w) - 2*w + 2*w + w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120102 (base 3) to base 5.\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 164, 186, 196, 188, 156?\n\"Answer: -p**3 + 29*p + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or 371?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1)*4\/(-6). Which is smaller: n or 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105149124?\nAnswer: 2, 17, 16252193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*y**2 - 3*k**3 + 2*k*y**2 - 3*k*y + 3575*k + 66444*y**2 wrt y.\nAnswer: -2*k**3 + 4*k + 132888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3227971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a = -4*k + 9*k + 235, -9*k = -6*k + 5*a + 57 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2889*c + 4807 wrt c?\nAnswer: -2889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.538212 - 0.064888. What is d rounded to 1 dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 711 + 543 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 33*g**3 - 12*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaaaanaaaanaaqqaaaa. What is prob of picking 2 a?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 1\/2*t**2 - 123\/2*t = 0.\nAnswer: -124, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22752*s**2 - 23222*s**2 - s - 21571*s**2 + 75447*s**2 to n*s**2 + z + y*s and give n.\nAnswer: 7902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = d - 0*o + 21, 0 = -5*d + 3*o - 57. Let c = -13 - d. What is the third biggest value in c, 4, -3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 6?\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 212959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -701898.5 and 16.015456.\nAnswer: -701882.484544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2277 in decreasing order.\nAnswer: 3, -3, -2277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35731, 35758, 35795, 35836, 35875, 35906, 35923?\n\"Answer: -j**3 + 11*j**2 + j + 35720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -353, -644, -1051?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3617 + 3602. Which is bigger: -68 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -8, 139 in increasing order.\nAnswer: -8, -7, -5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -908 divided by -4\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47, 57, 69, 83, 99?\n\"Answer: t**2 + 7*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 4*i**2 + i + 1. Does 19 divide m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4 - 0. Is u\/8 - 22\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -860.20042775 - -860.2. Round o to five dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -146*q - 116. Let x = 348 + -354. What is the units digit of f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 118467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -942 + 942. Let y = -5 - -1. Put y, 4, i in increasing order.\nAnswer: y, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2781798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -94, -201, -414, -769, -1302, -2049, -3046?\n\"Answer: -6*k**3 + k**2 + 2*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 187*a + 52. Is s(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5965, -5976, -5987, -5998, -6009?\nAnswer: -6020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6925867 to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 3*i**5 - 2*i**5 - 3*i + 3*i - 2*i**5 + (3*i**4 - 2*i**4 - 2*i**4)*(2*i - 4*i + 4*i) - 6*i**5 + 4*i**5 + i**5 + i**5 + i**5 - 8*i**4 + 19*i**4.\nAnswer: -i**5 + 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -568 greater than -3248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -49*h**3\/6 + 59*h**2\/2 + 2*h + 13. What is the first derivative of c(u) wrt u?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185766 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**6*o + 57*a**4*o + 2*a**3*o + 11*a**2*o - 17*a**2 - a*o wrt a.\nAnswer: -1080*a**3*o + 1368*a*o + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**4\/5 + 262*s**3\/5 + 808*s**2\/5 - 19138*s\/5 - 2940 = 0. Calculate s.\nAnswer: -25, -14, -3\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.243 - 0.193. Let o = i + -18. Let h be (2\/(-15))\/((-3)\/(-27)). What is the second biggest value in 3, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003602 to six decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*i**2 - 2*a**2*i*q + 2*a**2*q - 3*a*i**2*q - 2*a*i*q + 2*a*q + 25 wrt a.\nAnswer: 4*i**2 - 4*i*q + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -160. Let i(b) = b**3 + 6*b**2 + 3. Let r be i(-3). What is the highest common factor of r and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 18*s - 8 = 0. What is the nearest to -2\/3 in s, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = -6*j, -2*o = -4*j - 28. Let b(d) = -d**2 + 12*d + 6. What is the least common multiple of b(o) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 25*w. Let i(j) = -4*j**2 + j**2 + 2*j**2 + 10*j**2 + 4*j**2. Calculate k(i(t)).\nAnswer: -507*t**4 + 325*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8515.8 + 8516. Let m be 0 - (-1 - 23 - 1). Suppose -6*t - m = -t, 0 = v - 2*t - 11. What is the nearest to 0.5 in -1\/3, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961922251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*u - 2*u. Let d(z) = z + 1. Let v(l) be the first derivative of 2*l**2 + 3*l - 2. Let o(n) = u*d(n) + v(n). Let m(q) = 2*q. What is o(m(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -48962 + 161.7177?\nAnswer: -48800.2823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -36*b + 24. Let p(i) = -1878*i - 1882*i - 5 + 3767*i. Determine 5*n(d) + 24*p(d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*f - 84*f - 438 + 20 = 0. Is f at least -420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/24)*k)\/k*k*k)\/(k\/(k*k\/((k\/k**13)\/k*k)*k)))\/(k*k**(4\/7))**(-4\/7) assuming k is positive.\nAnswer: k**(21097\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 - 241*m**2 - 976*m - 4. Let j(c) = c**3 + c**2 - 2*c + 2. Let y(d) = -2*j(d) - o(d). What is the second derivative of y(p) wrt p?\nAnswer: 18*p + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 6:46 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z**4 - 192*z**2 - 202*z**2 + 11 - 2*z**4 + 623*z**2 - 190*z**2 to o + r*z**4 + d*z + k*z**3 + s*z**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 1, 5, 2 in decreasing order.\nAnswer: 111, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*z - 2. Let m be (70\/21)\/(z\/3). Suppose 3*r - 21 = -3*a, m*a - r - 3*r - 8 = 0. Solve 3*b = 2*w + 5, -2*b + 4*b = 5*w - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 851. Let s(f) = f**2. Determine z(s(r)).\nAnswer: -3*r**2 - 851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 h when four letters picked without replacement from {z: 7, h: 2}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**2\/2 - 6. Let z(t) = t**2 + 2. Give o(z(j)).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 763, 1245, 1727, 2209, 2691, 3173?\nAnswer: 3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4582? (a) -2\/7 (b) -18 (c) 0.5 (d) 0.1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (-21)\/3) + 0. Calculate the greatest common divisor of b and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -999, -1541, -2085, -2631, -3179?\nAnswer: -3729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {k: 1, t: 2, r: 5, z: 2, v: 4, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 437922*o**3*q*s**3 + 6*o**3*q*s + 54*o**3*s - 44041*o*s**3 wrt q.\nAnswer: 437922*o**3*s**3 + 6*o**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 37634*z**2.\nAnswer: 2*z**2*(z + 56451)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 38 + 16 - 153*l in the form u*l + f and give u.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1728 - -34553\/20. What is the common denominator of -73\/46 and r?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307185239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 2*y + 2. Suppose -5*d + 50 = 5*i, -4*i + d + 6 + 9 = 0. Let n be q(i). Suppose -4*z + 133 = -3*z + 4*r, -z = -3*r - n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -69*d - 4. Give v(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(sqrt(3388) + -2) + -3))**2.\nAnswer: -220*sqrt(7) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -652a?\nAnswer: -652b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43759450166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/23, 762, -5, 9.\nAnswer: -5, -4, -2\/23, 9, 762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10 = -i + 3, -l = 2*i - 5. Let d = -4 - -3. Let u = 0 + d. Is u greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45 + 33 - 12) + 49\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11181642 to the nearest integer?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a8829 (base 11) in base 16?\nAnswer: 4de84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114372045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 77*f - 337*f - 5)*(f**2 - f**2 + 3*f**2).\nAnswer: -780*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c = -1080. Does 54 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(567)*-1 - (-1*sqrt(847) - sqrt(7) - sqrt(7)) - -1*(sqrt(56)\/(sqrt(32) - sqrt(8)) + sqrt(7) + 1*1*sqrt(7))))**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/9 - 68\/225. What is the closest to r in -0.1, 0.2, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5971 + 5974 + 4*u - 11943.\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91 plus 8535.1?\nAnswer: 8538.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 11. Let c be w(-8). Let d(h) = -3*h - 16 + 19 + h**3 - 4*h**2 + 2*h**c - 7*h**3. What are the prime factors of d(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4 + 1\/3*p**3 + 0 - p**2 - 1\/3*p = 0 for p.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g + 8*g**2 + 90*g**3 - 22 - 10*g**2 + 24. Let a be k(-4). Let r = a + 10473. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458617 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87322082569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -4, 2\/11, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3 - 1\/4*m**4 + 0*m + 4\/3*m**3 - 2*m**2. Solve u(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 39. Let n(z) = -z**3 - 7*z**2 + z + 11. Let q be n(l). Suppose -m - 5*o - 13 = -5*m, -4*m = -q*o - 12. Solve x = 2*x - f, 5*f = -m*x - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8520.716 - -8527. What is s rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = 0. Let k = -1078 - -1183. What are the prime factors of k\/5 - s\/1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 80. Let r be (3\/(-3))\/((-1)\/2). Suppose -j + r = -q. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (82 + -95 + 33 - (-1 + 48))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41020.42485 + -72539.575214. Let s = -113553 - j. Let f = 7 - s. What is f rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h**4 - h + 2*h - 2*h - h**4 + (-3*h**3 - 2*h**3 + 4*h**3)*(2*h - 4*h + 4*h))*(3*h + 2 - 2 + (0 - 1 - 1)*(h + 3*h - h)).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242852 by 109.\nAnswer: -2228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43400740 and 260404440?\nAnswer: 260404440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9*h = -29, 0 = 2*k + 8*h - 3*h + 5. What is the second biggest value in k, -6, 22\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 + 10*p + 8. Suppose 2*k + 16 - 4 = 0. Let f be n(k). Suppose -4*x = x - f. Calculate the remainder when 9 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 13) in base 4?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 183512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1882 + -1873. Let s(b) be the first derivative of r + 11\/2*b**2 + 0*b - 7\/4*b**4 + 0*b**3. Find the second derivative of s(k) wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 116678 and 2.\nAnswer: 116680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 2*z - 3. Let u be (-7 - (-2090)\/198) + 35\/(-63). Let y(p) = p - 3 + 4*p**2 - 5*p - 3. Calculate u*y(n) - 5*m(n).\nAnswer: 2*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n*n**(-2\/11))\/(n**(-2)*n))**48*((n\/(n**13*n))\/(n*n*n**(-3)\/n))**2 assuming n is positive.\nAnswer: n**(2302\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggggggggggygggg?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 16345768\/155 and 105457 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -937, -933, -917, -883, -825, -737?\n\"Answer: y**3 - 3*y - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Suppose n*z = -4*t + 16 + 29, -2*t + 5 = -z. What is the remainder when 5 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Suppose -4*j + 3*l + 20 = 0, -x*l + 14 + 2 = 0. Let h(m) = m**2 + 13. Let r be h(j). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -321, -329, -351, -393, -461?\n\"Answer: -h**3 - h**2 + 2*h - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 - 45*w**2 + 188*w + 7. Give y(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 10. Let w(t) = -t**3 + 27*t**2 + 237*t + 60. Let x be w(34). Solve -x = g*r - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8035 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -148, -223, -298?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5 + 7. Let y = 9 + h. Is 20 a factor of ((-3)\/(-4))\/(y\/(-156))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0369517+0.96\nAnswer: 0.9230483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 - (1 - -5)) + -6. Solve 2 = 2*m - s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -12, -21, -34, -51, -72?\n\"Answer: -2*o**2 + o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 605903317 to the nearest integer?\nAnswer: 24615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -765931, -1531990, -2298049, -3064108, -3830167, -4596226?\n\"Answer: -766059*i + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 224 = 3*j - 4*b, -5*j + b = 288. Let n = 63 + j. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from hhvhhhvhvvrhh?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709 = -14*b + 793 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*w**5 + w**2 + 29*w?\nAnswer: -5340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -21. Suppose 2*d = 8*d + l. Let c be 4*d\/(-6)*3. Which is smaller: c or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -181*o - 46328. Determine q(-256).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjkllklkkkl. What is prob of sequence jk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26181, 26196, 26217, 26244, 26277?\nAnswer: 26316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 10:52 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(5))*-4 - sqrt(20)*-1)**2.\nAnswer: 32*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 7 + 9*s**3 - 3*s - 108 - 10*s**3 to l*s**3 + w*s + i + v*s**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - 5 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9249, 9251, 9253, 9255, 9257, 9259?\n\"Answer: 2*s + 9247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.9. Let p = 5.4 + -6. Let g = x - p. What is the smallest value in g, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20770618 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 500763 + 0.5.\nAnswer: 500763.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-50) - 134\/10. Let n = f + 19. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -507000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 - 1 - (-25 + 20)) - -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113412683.\nAnswer: 41, 2766163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)*y*(y**4\/y)\/y)**13 assuming y is positive.\nAnswer: y**(169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 118807767?\nAnswer: 118807767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3772 and 1288?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 46 = -196. Let o be 6\/(-4)*c\/(-27)*-6. Solve t + 0 = -3*n + 7, -o*n - t + 13 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9193679.\nAnswer: 11, 835789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52138\/166005 - -1\/4743. Let b = o - -247\/105. Find m, given that 4\/3*m**2 - 4 - b*m = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1230 + 2*a - 2442 + 5*a**2 + a + 1212 - 3*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 5*u = 321, 3*q = -u + 255. Let z = q + -57. Let x(n) = -n - z + 2*n**2 + 32 - n. Let i(c) = 2*c**2 - 2*c + 4. Give -6*i(f) + 5*x(f).\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 17, 1, -6, 2 in decreasing order.\nAnswer: 17, 5, 4, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + p**2 + 3*p - 3. Let u be j(2). Suppose r - 7 = u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7227 is divided by 185.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*a**2 + 47*a**2 - 18*a**2)*(2*a**3 + 2*a**3 - 6*a**3 + (-2 + 2 - 1)*(-1 + 1 - a**3)).\nAnswer: 44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*z - 1350*z + 6023 = -4057 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.035 in 3, -3, 0.1, 124, -1\/2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/882)\/(1\/(0 - -18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3*s**2 - 1 - 7*s**2 + 188*s + 98*s + 22*s**2.\nAnswer: 18*s**2 + 286*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15*5\/(-25))\/(2\/8*3). Let r(m) be the third derivative of 1\/40*m**y - 1\/15*m**3 + 0*m + 17*m**2 - 1\/300*m**5 + 0. Determine p, given that r(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q**2 - q. Let i(a) = 6*a**3 + 12*a**2 + 3*a. Let d(t) = -i(t) - 3*w(t). Factor d(n).\nAnswer: -3*n**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 121, 5, 1450, -2, -1, -7 in ascending order.\nAnswer: -7, -2, -1, 2, 5, 121, 1450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 2779 - 2771 = -2*k, 0 = 5*k - 3*p + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 45*n - 50.\nAnswer: 5*(n - 10)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.6 + -8. Let a = w - 0.9. Round a to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + m - 42 = -31, 4*i = m + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + 3 = 0, d - 5 = -2*a. Let u be (39\/(-15) + a)*5. Solve -r = -u + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6139, 12288, 18437?\nAnswer: 24586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {u: 2, s: 1, q: 3, n: 6, v: 4, e: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 234*c**2 - 1024*c - 17137. Determine m(-238).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, -2\/5, 4, 2\/7, -1\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 0 - 4 - b**2 + 6.\nAnswer: -3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 343*r + 12637. Give a(32).\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*l - 85*l + 3*l**2 - 83*l + 2 + 2*l**3 to the form q + u*l**3 + g*l + x*l**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g + 3*u = -20, 0 = -2*g + 3*u + 16. What is the third derivative of -11*z**2 + 7*z**6 - 3*z**6 - 3*z**g - 9*z**6 wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*u + u. Let v be -10 - -10 - (u - 1). Let o = -20 - -36. Solve a - 5*x - 8 = 0, -5*a = -a + v*x + o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89315028 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222727 - -395858. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 454 (b) -2 (c) 2868\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2949242 + 10?\nAnswer: 2949252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -3 - (25 + 19 + -14).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*y**3 - 200*y wrt y?\nAnswer: -1320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121142273 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/11)\/(p*p**7))\/((p\/p**(-15))\/(p*p**(-9\/4))))**24 assuming p is positive.\nAnswer: p**(-6570\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let z(f) = -4*f - 5. Let j(o) = -3*u(o) + z(o). What is the least common multiple of 1 and j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2730306*g*l**3*t + 2*g*l**3 + 93004*g*t - 9*l**3*t**2 + 187*l**2*t - l*t**2 wrt l.\nAnswer: -16381836*g*t + 12*g - 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*u + 18, -5*c + 230 = 3*u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 7*x - 6. Let k be o(-4). Find the common denominator of ((-8)\/28)\/(-1)*11\/k and 59\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -0.067, 0.2?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, 1\/5, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 + -41.23. Let a = g - -40.9. Is a bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 803 divided by 11\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(-6 + 10). Suppose -d + 0*d + f = -123, 231 = b*d - 5*f. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:22 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 118102 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a centimeter?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a + a - 6*a - 4 - 2*a wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119.7 - 108. Round f to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*g - 23 = 5*g, -5 = -4*b - g. Solve -3*f - 2*s = -f, 3 = -f - b*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/90 - 29\/90. What is the second smallest value in -2, n, 10, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15131250 and 3375.\nAnswer: 45393750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/167 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 318*p + 118*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2989520754 to three decimal places.\nAnswer: 0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, o: 7}. What is prob of sequence soso?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/4)\/(1\/32*-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 5:02 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9414 by -2.\nAnswer: 4707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 6:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -18*u**2\/19 - 3050*u\/19 + 252 = 0.\nAnswer: -171, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -14 - ((4 - -19) + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.955 to the nearest integer.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let m(d) = 933*d + 3766*d + 2306*d - 1690*d. Give k(m(p)).\nAnswer: -5315*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-152)\/57)\/(-2))\/((-12)\/(-297)*1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.9*-256.64.\nAnswer: -8700.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 65 = 49. Suppose 11 = 3*t - 9*y + 5*y, t + p*y - 7 = 0. Solve 5 = -t*s - 3*z - 5, -10 = -5*s + z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25362 - -25364. Solve 0 = 3*f + 5*k + 31, l*k = 2 - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -18. Solve 5*f = f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*y**2 - 4*y + 0.\nAnswer: y*(y - 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86173?\nAnswer: 17, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 3, -21, 1\/4 in decreasing order.\nAnswer: 3, 1\/4, 1\/8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxttxxx. Give prob of picking 2 x and 1 t.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 3*u**4 - 2*u**4 + (-6*u**4 + 0*u**4 + 4*u**4)*(-2 + 4 - 4) + (-5*u**2 + u**2 + 2*u**2)*(u + 1 - 1)*(-4*u + 2*u + u))*(-5*u + 5*u - 2*u).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 - -148. Let l be (-3 - 3\/(-2))*-4. Calculate the highest common factor of g and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 15*o - 138. Let i = 64 + o. What is the least common multiple of i and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -596591.9118 and -6347?\nAnswer: 590244.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7018\/379 or -18?\nAnswer: -7018\/379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 5*a - a)*(1 + 3 - 2 + (1 - 1 + 2)*(1 - 13 + 0)).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 784725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367689.\nAnswer: 3, 7, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from {b: 1, a: 2, i: 2, g: 7, s: 2, r: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5)\/((-180)\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-212)\/(-1484))\/(1\/84)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842738 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26253770 or -26253771?\nAnswer: -26253771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-220)\/(-990) - 188982004\/18. What is c rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c + 25. What is the units digit of (-53)\/c - (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001001010011011 + -111100?\nAnswer: 1101001001001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 3*x**2 - 3*x + 8. Let j(z) = -7 - z**3 + 0*z - 8*z**2 + 5*z**2 + 4*z. Let g(h) = 3*j(h) + 2*w(h). What is g(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b - 5*b + 6 + 0. Let o(c) = -c - 39. Let w be o(-30). Is v(w) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.8. Let x = 25408\/156649 - 252\/3643. Which is the third smallest value? (a) -4 (b) -0.1 (c) l (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.14351119 or -1.9?\nAnswer: 0.14351119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283000 rounded to the nearest 100000?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + x)*(x - 2*x + 3*x + (-x + 2*x + 0*x)*(-1 - 1 + 4))*(3267 - 1708 - 1637).\nAnswer: -624*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**5 - 82*z**4 + 2*z**2 + 8*z?\nAnswer: -60*z**2 - 1968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -23*w - 9. What is t(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)*k\/(k\/(((k\/(k**(-6)\/k)*k*k)\/k)\/k)*k*k))\/((k**(-1\/2)*k)\/(k*k**6*k)) assuming k is positive.\nAnswer: k**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4 - 3721075*f**3 - 1484*f**2 + 258 wrt f?\nAnswer: 24*f - 22326450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*r + 13*w - 9*w, -2 = 4*r + 5*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**2 + a - 4. Let z(k) = -5*k - 3. What is 8*h(n) + 3*z(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + y**2 - 2*y - 1. Let c be r(-2). Let o be 3 - ((-9)\/8)\/(8\/(-24)). Put o, c, 5 in increasing order.\nAnswer: c, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1593, -1714, -1823, -1914, -1981, -2018, -2019?\nAnswer: -1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -16\/451, -38?\nAnswer: -16\/451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 110 + 1122 = 0. Let j(p) = -118*p - 708. Let b be j(-6). Suppose -n - 5*u = -182, b*n - u = 3*n - g. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1556442 and 10824?\nAnswer: 68483448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3265 + -3263. What is the second biggest value in -5, -1.1, -2\/17, b?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i**5\/3 + 750*i**4 + 1665*i**3 - 7555*i**2\/3 - 2041*i + 1395 = 0.\nAnswer: -279, -3, -1, 1\/2, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1*sqrt(1053) + -1)**2 + sqrt(1053) - ((sqrt(1053) - (-1 + (sqrt(1053)*2 - sqrt(1053))))**2 - sqrt(1053)) - ((-1 + sqrt(1053) + 0)*2)**2) + -1.\nAnswer: -3169 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16489?\nAnswer: 11, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*h**4 + h**3 - 86*h**2 + 2.\nAnswer: 696*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 0.09 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 9347496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040576 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -35152770 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338466?\nAnswer: 2, 29, 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2887133ng to tonnes.\nAnswer: 0.0000000000000002887133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + (0 + (sqrt(432) - (-5*(sqrt(432) + 1) + sqrt(432))) + 4)*6 + 2)**2.\nAnswer: 39600*sqrt(3) + 391830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 506743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnvnnnnnnnvnnnnn. What is prob of picking 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1629834.\nAnswer: 5\/1629834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 0*y = 0. Suppose u = 4*h + 31, -u - 3*h - 4 = -y. Find the second derivative of -2*f**4 - 2*f - 6*f + u*f**4 wrt f.\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246*(-17)\/153*9\/6\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91\/26524 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -720, -2, 4 in decreasing order.\nAnswer: 24, 4, -2, -720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -69, -116, -145, -138, -77, 56?\n\"Answer: 3*a**3 - 18*a**2 - 14*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 189 = 45. Suppose -3*t + 3*h + 153 = 0, -t + 2*h = -w - 12. Calculate the greatest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - -0.01. Let t = q + 4.9. Let g = -0.1 + 0.1. What is the second smallest value in g, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199193.\nAnswer: 199193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 67 - 5. Let w(q) = 7251*q**3 - 10*q**2 - 17*q + 16. Let p be w(o). What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05433 and 250.\nAnswer: 13.5825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*l + 19 = 0, o = 5*l - 2 + 1. Calculate the remainder when 6\/o + (-568)\/(-14) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*p**3 + 21 + 2*p**2 - 56*p**3 + 29*p**3 in the form h*p + u*p**2 + b + z*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2. Let p be (3 + (-1 - 2))*a. Let z = -3 - p. Is z bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 12. Suppose 20 = 5*n, -p + 2*n = h*p + 24. Sort p, 0, 2 in descending order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492732.\nAnswer: 2, 3, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92 + -11?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 29*n**2 + 5*n - 9. Let x = 8 + -14. Let a be p(x). Let t = 1874 - a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1228\/7 - 40664\/231. Let w = -2002115\/99 + 20223. Let i = d - w. Is i less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -6622*y**6\/15 + y**4\/3 - y**3\/2 + 223*y**2\/2 - y + 461. What is the third derivative of h(z) wrt z?\nAnswer: -317856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2249384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 37. Calculate the smallest common multiple of o and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (0 - (11 + -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by 18.\nAnswer: 65\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611141 is divided by 1868.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5 + 255*l**4 - 3600*l**3 + 8620*l**2 + 960*l - 11520 = 0 for l.\nAnswer: -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885 + 389 = 25*q + 354 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 968*d**2 + 298147*d + 920. Determine r(-308).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*h + 84999980 = -2*h, 17000010 = z + 2*h. Suppose -t + 2*t = -z. Round t to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -272 or -178129\/656?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.4508 + -26.6. Let m = o + 0.14127. What is m rounded to four dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -6*n - 10. Let o(f) = -f**3 - 6*f**2 - 6*f - 3. Let k be o(n). Suppose -k*t = -4*a + 10, -t + 5*t = -4*a - 20. Is -3\/5 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5158 - 5805 = -327*j - 4077 + 3251 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/23, 0, 1, -25.32, 0.1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {k: 3, b: 1, v: 2, t: 4, h: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6111 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42*(-3)\/27)\/(63\/(567\/(-60)))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12849.04ng to grams.\nAnswer: 0.00001284904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 - (-2 - -2)). Let g = -314.3 - -290. Let w = -24 - g. Which is the nearest to -0.1? (a) y (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 123 + 57 = -2*o, -4*b + 182 = -o. What is the remainder when 1327 is divided by b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1938836787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*t + 3*t. Let a = -1 + t. Let x = 17 - a. Calculate the lowest common multiple of 4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574560 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/96)\/((-2)\/222). Let w be (-578)\/(-5) - (-4)\/10. Let i = w + k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**6 + 13*x**2 + 4*x**6 - 7*x**2 wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-10) + 7)*(21 + -39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/((-18)\/(-3)))\/26\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -18*x**2 + x. Let f(p) = 160*p**2 - p - 19. Let i(y) = -f(y) - 9*q(y). Calculate i(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4003\/18 + 222. Let s = b + 8\/9. Sort s, -0.5, 3\/5 in decreasing order.\nAnswer: 3\/5, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 138*c + c - 556. Determine o, given that 2\/5*o**2 + 0*o - 2\/5*o**3 - 2\/5*o**c + 2\/5*o**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/66)\/(4\/(44\/(-1)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 32*k**2 - 7. Let p(o) = o**3 - 33*o**2 + 9. Let h(w) = 6*p(w) + 7*z(w). Let r be h(26). Solve 15 = -0*b + r*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -62*p + 63. Let j be h(1). Let n = 10 + -4. Let y be j*2*(1 - (-15)\/n). Solve 3*m - y*m = 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103187 to the power of 1\/2, 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 90 and 15435?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*((0 + 3 - 5)*(-3*f - f + 5*f) - 8 + 7 - 1 - 8*f - 5*f + f - 3*f) to p*f + v and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 910\/39953 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10.8 in 135, 8, -1\/2, 3\/8, 0.083?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 5*d - 5. Let y be q(4). Suppose 2*h + 18 = 3*x, -x + 5*h = -16 - 3. Let o = 0.2 - 1.2. What is the nearest to y in x, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 - 77*b - 55. Let n be o(20). Suppose -3*q - r + 33 = 0, 0*q - 5*r - 39 = -2*q. Suppose -28 = -q*i + n*i. Solve -2*l + i*l = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704535.\nAnswer: 5, 540907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1171527 - 288788 = 13*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 199 = -215. Let m(y) = -3*y + 9. What is m(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 + 7*z**2 - 3*z + 11*z**2 - z**3 + 5*z to i*z**2 + d*z**3 + t + l*z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/12 - -2)*-4. Let d(o) be the second derivative of 1\/20*o**5 - 5\/2*o**2 - 6 - 7\/12*o**4 + 2*o + 0*o**3. Calculate d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16922304 divided by -4197?\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -291871*k + 8756143. Determine j(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - -2*(-2)\/4. Let t = 19 - -5. Let d = t + -23. Calculate the highest common factor of a and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227187964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1021, -103.9, 4\/7 in descending order.\nAnswer: 1021, 4\/7, -3\/8, -103.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*p - 4204 = -21094 - 2156. Calculate the greatest common factor of 8 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*n - 72, 743*i - 746*i - 34 = 8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6812.334 seconds in microseconds?\nAnswer: 6812334000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 + 3*i - 4. Suppose -38 - 8 = 2*a. Let x be (-10)\/(-35) + a\/7. What is the remainder when 44 is divided by y(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14923993 is divided by 34387?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93656142 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.9 + 14.9. Sort -3, 0, x, -5\/3.\nAnswer: -3, -5\/3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d, 21 = -5*m + 2*d + 5924. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -360414?\nAnswer: -360414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 - d. Let j be (-3)\/(-1)*78\/9. Suppose 0 = t - x, -3*t + 9 = 4*x - j. Let u = -4 + t. Calculate y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 - 8 - (-6 + 8) - (-4 + -7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1359616.86 milliseconds to days.\nAnswer: 0.01573630625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = i - 3, 3*i + i + 3*t = 33. Calculate the smallest common multiple of ((-8)\/(-10))\/(i\/105) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3023 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22016209, -22016203, -22016193, -22016179?\nAnswer: -22016161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65429, -130861, -196293, -261725, -327157, -392589?\nAnswer: -458021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*-5)\/sqrt(9) + 3*sqrt(30)*6 + sqrt(30))\/(sqrt(30)\/(sqrt(3)*2) + sqrt(120)\/(sqrt(72)\/sqrt(6))).\nAnswer: 28*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1014 = 5*c + 158, -c + 155 = 5*z. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20200210002 (base 3) in base 9?\nAnswer: -220702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j - 20 = 4*r, 0 = -3*j + 2*r + 16. Solve 2*n + 2 = -j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2142)\/4*(7 - (-6 - -15)). Suppose -3*l + 1769 = -23*i + 28*i, -3*l = -3*i + j. List the prime factors of i.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -997168, -997161, -997154?\n\"Answer: 7*h - 997175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 b when three letters picked without replacement from scbbbbrbrbbbbbbbzzr?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, -2, 0.3, -0.3, -0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1218, -1216, -1214?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 (base 6) in base 13?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 139. Let j = s + -74. Suppose 2*f - 41 = j. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/10*i**5 + 0*i**4 - 1\/40*i**6 + 0*i**3 + 0 + 0*i + 54*i**2. Solve q(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -35.58 and 0.2.\nAnswer: -35.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 6. What is v(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2. Let h(b) = -9*b. Let m(o) = o - 1. Let y(w) = -5*w + 10. Let k(d) = 10*m(d) + y(d). Let g(c) = 4*h(c) + 7*k(c). What is z(g(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwle when four letters picked without replacement from {s: 1, l: 5, i: 2, e: 4, m: 1, w: 2}.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-147*u + 178 - 178)*(-2*u + 2*u - u**3) + 3*u**4 + 10 - 10 as c + b*u**2 + z*u**4 + h*u + k*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = w. Let m be (4 + (-4)\/(-2))\/2. Solve -u = x - 7, u - m*u - 4 = -w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -210989353*l**2*m - 10*l**2 + l - 3433534 wrt m?\nAnswer: -210989353*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144592?\nAnswer: 2, 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 127*u - 1773. Let z be t(14). Solve 4*f + g + 17 = 0, -z*f - 6*g = -g + 25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 10. Let b be (12\/(-4) - -3)*1. List the prime factors of s(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 4 (c) 2\/9 (d) 0 (e) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**3 + 33*l**3 - 10*l**3 - 9*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -96. Let q(k) = -8*k**3 + k + 1. Let h be q(-1). Calculate the remainder when h\/6*(-3)\/(-2) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**2 - 4*r + 2. Let d(l) = 2014*l**2 + 2332*l - 1166. Determine 4*d(p) + 2332*g(p).\nAnswer: -8268*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -54*m + 2. Let b(u) be the first derivative of -27*u**2\/2 + u - 13. Let d(y) = 7*b(y) - 4*j(y). What is the units digit of d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/3*(-10290)\/(-343)*2\/25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(18\/(-81)*3)*12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/9 bigger than -495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -14 + 17 + -2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -1, -147, 1, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 438, 3, -12, 0, 2\/9, -33?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 14. Let o(q) = 2468*q. What is d(o(m))?\nAnswer: -18273072*m**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9752*l**5*o**3 + 1241*l*o**3 - 4*l*o**2 - l - o**3 wrt l.\nAnswer: -195040*l**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 98*g**2 + 577*g - 5882. Determine a(103).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(4\/5))\/a)\/a**(-2)*(a*a**5)\/(a**(-2\/5)*a*a))\/((a**0*a)**(-34)\/(a**(-1\/10)*a\/a**(-4)*a)) assuming a is positive.\nAnswer: a**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-161)\/(-230)*4\/7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 8*f**2 - 11*f + 5. Let g be 160\/16*(3 - ((-204)\/15)\/(-4)). Calculate n(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 20 = 130*j - 128*j, -7 = -4*j + 4*u + 13 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from yrnnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -32 - (1 + 2)) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2719 = -182*v - 11 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/5)\/11*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228.356 * 72.\nAnswer: 16441.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 16. Calculate the remainder when 6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 - 1) + -2547)*-4. Suppose o = 9*n - 8703. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/10822721 and 54\/1183.\nAnswer: 140695373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-709)\/2*(-4)\/(-18). Let l = d + 79. Let h = -2 + 0. Which is the third biggest value? (a) h (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 23 + 19 + 7 - 237*c - 51 in the form l + k*c and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 201526477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1813 - -1?\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-10\/9)\/l)\/l)\/l)\/l)\/l*l)**(1\/7) assuming l is positive.\nAnswer: l**(-46\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 < -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 9:23 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or 1\/613?\nAnswer: 1\/613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 132*-1.63\nAnswer: -215.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014311425 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 71 = 41 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -123 in descending order.\nAnswer: 5, -11, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 3, j: 13, b: 2}. Give prob of sequence jjjs.\nAnswer: 143\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.95 - -5. Let o = p + -0.25. Is o equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 3. Let i(h) = 4*h**2 - 15. Let n(m) = 2*i(m) + 10*p(m). Let x(q) = -854*q. Determine x(n(j)).\nAnswer: 1708*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 20, -69.71, -5?\nAnswer: -69.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -3 + (4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10 and -21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2. Let c(a) = -106*a**2. Determine c(y(v)).\nAnswer: -2650*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.731 + -0.231. Let n = 9 - 2. What is the third smallest value in -2\/5, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.143 and 9257363.\nAnswer: -1323802.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5113 + 5913 = -250*s - 165*s + 117*s for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 178 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3845870, -3845919, -3845968?\n\"Answer: -49*g - 3845821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:12 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*z - 7 = -0*z, -p + 2*z - 3 = 0. Let j(a) = 5*a**3 - a - 1. Give j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132 - 9)*2\/(-12)*2. Let s(a) = q*a + 45*a - 136*a + 46*a. Let v(f) = 4*f**2. Give v(s(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, -81?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1438 + -563. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 14*z**3 - 5*z)*(-2*z**2 - 3*z**2 + 6*z**2).\nAnswer: -14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-62)\/22 - ((-474)\/(-66) + -7). Does 14 divide (8\/(-10)*n)\/(9\/5160)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2 - 4*c**2 - 6 - 192*c + 200*c + 0 - 1. Determine u(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 156 = 11*t. Let c be (-6)\/2 + (21 - t). What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 55128*w + 55133*w - 29 = 0, 0 = 7*w - 35 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 8*r**2 + 13*r + 2. Let y be z(-6). Calculate the remainder when 1 + (y + -48)\/(-4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38772108.9 + 38772105.20000182. Let h = q + 3.7. What is h rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 206617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48534, 48538, 48544, 48552?\n\"Answer: g**2 + g + 48532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 310*a**2 + 1002*a + 19767. Determine o(-313).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2984*a**3 + 456*a**3 + 487*a**3.\nAnswer: 3927*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 162.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.9 - 16.4. What is the nearest to 0 in l, 0.4, 4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2)\/1 + 598 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0956 + -0.0501. Let x = -0.3545 - y. Which is the smallest value? (a) 5 (b) -5 (c) x (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4510 and 1362430.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 417650251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/(-459) - (1 + 30\/(-34)). Let v(j) be the first derivative of -2\/27*j**3 + 4 + 4\/9*j - x*j**2. What is k in v(k) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51391 or -51393?\nAnswer: -51391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(20)*1 + sqrt(60)\/sqrt(3)*4)\/(sqrt(8)\/(-3*sqrt(2)) - (sqrt(28)\/sqrt(7) - sqrt(4))*-6).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.8, -4, 4\/7, 23, 7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, o: 1, v: 8, l: 1, b: 1}. What is prob of picking 4 v?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (8 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 22*p**2 - 22*p - 19. Let n be x(23). Suppose 4*h = -12 - n. Does 8 divide (-2)\/(-4) + (-62)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 33*s + 134 - 74 - 71 as n + b*s and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -144, -10, 5.\nAnswer: -144, -10, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -63*i - 1. Does 15 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260745971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 386721 + -10?\nAnswer: 386711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {m: 7, a: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -8, 1\/2, 256?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -57291875?\nAnswer: -11\/57291875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 876910, 1753852, 2630794, 3507736, 4384678, 5261620?\nAnswer: 6138562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t = 15*t - 15*t + 568 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3 or 23\/327?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -31*s - 32. Let p(j) = 2*j. Let l(y) = 2*a(y) - 6*p(y). What is the derivative of l(i) wrt i?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 6. Let s be 21\/77 - (-52)\/33*3. Determine m(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1986 and 3?\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(h**(-1)*h))**(-4\/11)\/((h**(-4\/3)\/(h*h\/(h**6*h)*h*h*h))\/(h**0)**1) assuming h is positive.\nAnswer: h**(-34\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323896 != 1323892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.3342 nanometers in millimeters?\nAnswer: 0.0000823342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128014*l**3 - 3*l**2 + 5590*l - 1 wrt l.\nAnswer: 768084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, 18, 48, 90, 144?\n\"Answer: 6*c**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/6*(-4)\/(96\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(0*l**2 + 0*l**2 - l**2) + 3*l**2 + 2*l**2 - 4*l**2)*(l + 2 - 2).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34293 and 1145193?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82684413.66 + 0.\nAnswer: -82684413.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.312877 kilometers?\nAnswer: 9312877000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29861*m - 14925*m - 14937*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -19. Suppose 30*m - 125 = p*m. Find the third derivative of 11*y**4 + 3*y**4 - 27*y**2 - m*y**4 wrt y.\nAnswer: -264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -33. Let m(r) = -8*r - 3*r + 0*r + t*r. Calculate m(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-45)*5\/5*(-20)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/(8\/48). Differentiate 2*a - 6*a**2 + 82 - 12*a**m - 52 wrt a.\nAnswer: -36*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 23 = -3*h, -t = 4*h - 38 + 12. Suppose t*g - 81 = 5*g. Calculate the highest common factor of g and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -143*c + 2577. Give p(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -40*h - 112. Let m be l(-3). Factor 0 + 2\/3*z**4 + 16\/3*z + 4*z**3 + m*z**2.\nAnswer: 2*z*(z + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = -31*w - 38 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -70.7939*-3\nAnswer: 212.3817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6307 and -0.06.\nAnswer: 6306.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -26102.46307 to the nearest 10.\nAnswer: -26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 6*o + 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.727596 milliseconds?\nAnswer: 0.006727596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87851600 to the power of 1\/2, to the nearest integer?\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1585\/25 + 4\/(-10). Let z = j - 8. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8248, -8250, -8256, -8272, -8304?\nAnswer: -8358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*c + 3*k, -2*c - k = k - 40. Solve -c + 0 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 - 5*t - 17. Let n be c(-5). Let l be 1 + (n - 5) - -66. Let m = l - -10. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t + 30. Let j(v) = 28 - 11*v - 12 + 73 + 41*v. Let r(h) = 8*i(h) - 3*j(h). Is r(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 254991 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)*(2 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + 2*t)*(-1 + 1 - t) + (1 + 1 - 4)*(3*t**2 - 2*t**2 - 3*t**2) + 2*t**2 + 0 + 0 + 200*t**2 - 83*t**2 + 215*t**2.\nAnswer: 340*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 3)*(-z - 13*z - 10*z).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + 0*b)*(-b - 2*b - b)*(3 - 3 - 2).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyyvyyyyyyyyvyyvyyy. What is prob of sequence yyv?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**47*(d**(2\/13))**43 assuming d is positive.\nAnswer: d**(1652\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 11. Let y = c + 6. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x + 20*x + x**2 + 0*x**2. Let z(c) = 7*c**2. Calculate i(z(j)).\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1521730*o**5 - 120*o**2 + 40619 wrt o?\nAnswer: 91303800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (50 - 25) - -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/15 + 520\/650?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**3 + 328330*b**2 + 14436135*b - 46263510 = 0.\nAnswer: -65622, -47, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k + 1)*((3 - 2 + 0)*(-2*k**3 + k**2 - k**2) - 186*k - 361*k**3 + 186*k).\nAnswer: -363*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 761 = 757 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 34*o - 677. Let i be m(20). Solve 12*y = i*d + 8*y, 0 = 3*d - 2*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(h - 7*h - 1 + h) to the form y + j*h and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 68*a + 8. Let d = -1 - -5. Let c be 35\/d + (-6)\/8 + 0. Let z(w) = -23*w - 3. Let l(s) = c*z(s) + 3*m(s). Let n(i) = -i**2. Give l(n(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 0.2 (c) -1.28 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egi when three letters picked without replacement from {i: 2, l: 4, g: 9, e: 1}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/20 - d**4\/3 + 2*d**3\/3 + 3*d**2 + d. Let f = -16 - -11. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/42560 and -47\/80.\nAnswer: 42560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 36. Let y = x - -8. Which is the nearest to y? (a) -4 (b) 1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2 - 3*g**3 + 2 - 3 + g - g**2 + 4*g**3. Let o be n(2). Factor f**o + 2*f**2 - 5*f - 4*f**2 + 6*f.\nAnswer: f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 - w + 3. Let o be z(5). Let n be 0 + (2 - (-3 - -3)). Let x = -2 + n. Is o equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*-8 + 0\/(-3). Let g = a - -39. Put 0, g, 1 in descending order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8\/19 (b) 0.1 (c) -2 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:03 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -1\/2*y**4 + 3*y - 1\/10*y**5 + 0*y**3 + 0*y**2 + 9. Let c(v) = 0. Calculate v.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/14 and -0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 930 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose 0 = -l*d - 3*d + f, 3*f - 12 = -3*d. Is (3 - 4)\/(d\/(-19)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110170251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q + 9*q + 64. Let f(i) be the first derivative of 17*i + 4*i**4 - 8*i**4 - 16 + 6 + q*i. What is the derivative of f(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8048, -16108, -24180, -32270, -40384?\nAnswer: -48528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 657*l - 582. Let g(z) = 2633*z - 2327. Let a(i) = -2*g(i) + 9*t(i). Differentiate a(f) wrt f.\nAnswer: 647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.4, 16\/27, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*s + 1420322 = 0, -p + 2*s + 569295 = -851020. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 822 - 69*j + 24*j + 20*j + 2*j**2 + 25*j to s*j**2 + m*j + f and give f.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 7. Suppose d - 3 = -3*h - 2, -3*d - 39 = -5*h. Let w be b(d). What is the tens digit of (-12)\/((-3 - w)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, l: 2, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-20)\/(-18)*-3. Let o(u) = 3*u - 15. What is the tens digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*y = 16 - 19, 5*x - 4*y - 27 = 0. Find the second derivative of 2*t**x + 1330*t - t**3 + 4*t**4 - 1328*t - 16 wrt t.\nAnswer: 48*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208547 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*i - 7*i. Suppose 4*u = -3*j - 8, -i*j + u = 2*u + 19. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -714\/5, 5\/6.\nAnswer: -714\/5, -0.5, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/33 - (-3618)\/22. What is the highest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 679179 and 10653?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/15 (b) 8 (c) -2\/86291 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/13, -12, 45\/179, 1, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 173250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*k = -66, -7*s = -4*s - 5*k - 56. Let n = s - 49. Let d = n + 38. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2255*d = 2*a - 2258*d - 84, -24*a = 5*d + 58 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79.3 and -18686.262.\nAnswer: -18606.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 + 169*a**3 - a**2 - 100*a.\nAnswer: -24*a + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 36*w. Let r(k) = 7*k**2 + 513. Determine r(c(f)).\nAnswer: 9072*f**2 + 513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6169 - 3583 - 5075 - 1777)*(2*t**3 + 2*t**3 - t**3).\nAnswer: -49812*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 328105 - 12468841\/38. Let j = i - -45\/2. Let r be ((-116)\/(-24) - 4) + (-4)\/6. What is the closest to 1 in r, j, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 0*l**6 + 0 + 13\/3*l**3 + 9*l + 0*l**5 + 0*l**2 + 8\/21*l**7 + 0*l**4. Find the second derivative of s(b) wrt b.\nAnswer: 320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130395 is divided by 8684.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35941557, 35941587, 35941617, 35941647, 35941677?\nAnswer: 35941707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgggtgtggtgtgttggg. What is prob of sequence gg?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103980216.6 rounded to the nearest 100000?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67583 + -67582. Let s = -10 - -14. What is the nearest to p in 0.1, s, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02057072702 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3717 divided by -541?\nAnswer: 3717\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1332737, -4, 21\/4 in descending order.\nAnswer: 1332737, 21\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**4 - 32*p**3 + 612*p**2 + 5840*p + 5200 = 0.\nAnswer: -10, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502210020 to the power of 1\/2, to the nearest integer?\nAnswer: 59179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/9 - 909488*u\/9 = 0. Calculate u.\nAnswer: -454744, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4 = -3*q - 3*m, -4*m - 2 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112\/93 + 15\/124. What is the common denominator of -38\/9 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5496942us?\nAnswer: 549.6942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + 36\/60)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3749, -17914, -41513, -74546, -117013, -168914, -230249?\n\"Answer: -4717*s**2 - 14*s + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50627722 (base 8) in base 2?\nAnswer: -101000110010111111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1502060, -3004112, -4506160, -6008204, -7510244?\n\"Answer: 2*v**2 - 1502058*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59023821 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-7 - -24 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:08 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 12 + -105 + (43 - 27)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**5\/20 - b**3\/3 + 3*b**2\/2 - 4*b. Let p = 13 + -13. Let k be m(p). Solve k*o - 14 + 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1743)\/(-2324)*24\/14?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 251.48\nAnswer: -251.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 524 + 863. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -268*z - 38583. Give i(-144).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -87191 greater than or equal to -86771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 143*v - 2571. Calculate j(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432890 and 10.\nAnswer: 432890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 93385*j + 93390*j - 22, -3*j + 14 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -28. Is 14\/(-63) + 11038\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 5*p**6\/6 + 131*p**5\/3 - 268*p**4\/3 + 72*p**3 + 15*p**2. Factor n(y).\nAnswer: 4*(y + 27)*(5*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -716, -5, 2\/5, -3\/5, -1\/5 in decreasing order.\nAnswer: 2\/5, -1\/5, -3\/5, -4, -5, -716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014183 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -4*a - 11*b + 4, -b - 2 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.085, -1\/4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - 0) + (-11 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1510? (a) -1 (b) -1\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*p - 628, 2*p + 3*a - 1056 = -3*p. Is 208 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*g - 50 = 0, -3*y = -8*y - g - 45. Let c be -3 + 1 - (y - 3\/(-3)). Solve -33 = 2*k + c*j - 3, 4*k + 2*j = -28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 + 9603968*b\/5 + 28811922\/5 = 0. Calculate b.\nAnswer: -3, 4801987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*v - j - 137, 0 = -5*v + 2*j + 223. What is the tens digit of v\/(11\/(-6) - -2) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:24 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 0 + 0*a + 0*a**2 + 41\/2*a**4 - 4*a**3 - 5\/2*a**5 = 0.\nAnswer: 0, 1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 20. Suppose 7*c**2 - 5*c**3 + 3*c**4 - 6*c**4 + h*c**4 + 15*c**2 - 36*c**2 = 0. Calculate c.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2747.\nAnswer: 1\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/42 - (-1 - 41\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 + w**2 - 3*w + 1. Let o be f(1). Solve o*t + 3*t = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13962 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24062415001 take away 0.03?\nAnswer: -24062415001.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*n - 67 = 0, -75*d - 959 = -77*d - 29*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifwh when four letters picked without replacement from {i: 1, f: 1, h: 5, w: 2, d: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = 0, -5*k + 21 = w + 1. Solve 3 + 2 = -w*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - n + 3720, 0 = -6*l + 11*l + 2*n - 18600. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*w + 210, -130 = -5*w + 2*u + 209. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 859 + -3610304.\nAnswer: -3609445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, d: 2, t: 7, m: 2, l: 2}. Give prob of sequence lt.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.27 + 6.8. Let k = 1.67 + u. Is k at least as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -21?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 115682 divided by 2275\nAnswer: 16526\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54700 or -109397\/2?\nAnswer: -54700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94952841 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2. Let v(q) be the third derivative of -q**5\/30 + 17*q**2. Determine v(z(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - (-28)\/5. What is the third derivative of 4*q**2 + 3*q**4 - q**2 + 2*q**2 - k*q**2 wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 17 + 43. Let r = c + -14. Put r, 2, 3 in increasing order.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3678?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2088 and -0.07?\nAnswer: -146.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 22*c + 12. What is the remainder when h(-6) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*y - 1582*y - 3573*y.\nAnswer: -5987*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027 times -0.25416?\nAnswer: -0.00686232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23769 is divided by 7901?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + -1.39. Let h = g + -0.21. Which is the second smallest value? (a) 1 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58026500 divided by 51625?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -50924 take away -12147?\nAnswer: -38777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.3 (b) -4 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/105)\/(12\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u*w**2*x - 101369*u*x**2 - w**2*x**2 - 25516*x wrt x.\nAnswer: -202738*u - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7069400*v**3 - 3534624*v**3 - 3534777*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzlllzlzlwlwz. Give prob of sequence lzw.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 23501010467958.\nAnswer: -23501010467962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -1)\/(0 - 1). Let f(g) be the second derivative of g**5\/20 + 5*g**4\/12 - 4*g**3\/3 - 4*g**2 - 3*g. Let b be f(p). Solve -12 = -l + b*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 - -3)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 8774096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6112336 (base 8) in base 6?\nAnswer: -54310114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - 1428\/(-189))*1\/(-2). What is the nearest to -2 in -1, n, -2\/3, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000039026897 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*g - 177*g + 2806 - 2810 + 85*g as z + w*g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*d + 286, 0 = 6*w - 3*w + 2*d - 203. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2+0.0281\nAnswer: 1.2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3650*y + 97\/2*y**3 + 2500 + 1\/2*y**4 + 1101*y**2 = 0. Calculate y.\nAnswer: -50, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3151744\/11 - 286764. Let o = -242 - w. What is the second biggest value in -5, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 - 1316*i**4 + 3335*i**2 wrt i.\nAnswer: -240*i**3 - 31584*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.2. Let d = 28 - 31. Which is the nearest to -1\/2? (a) z (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -84, -294, -736, -1488, -2628?\nAnswer: -4234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99558 (base 10) to base 8.\nAnswer: 302346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -12*c - 54. Let u be 220\/99 - (-4)\/c. Suppose 3*k - u*h - 30 = 34, 0 = 4*k + h - 67. Calculate the remainder when k is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/5 + 12\/(-15). Find the second derivative of -3 + z*u + 7*u**2 - 7 + 10 wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71266571 is divided by 4397?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7, 0, 2\/23, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-28)\/266 - (1040580\/(-1330) + 2\/7) and 138?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 8015\/4071?\nAnswer: 8015\/4071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74174 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 77 - 10, 10*a - f + 14 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 27 - 435 = 0. What is the tens digit of (c\/15 - -7)\/(1\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v - 13*v - 4*v)*(7*v**3 - 15*v**3 + 10*v**3).\nAnswer: -58*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/24 - 2\/(-16)*2. Which is the nearest to -2\/5? (a) t (b) 1\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 13 + 2)*(4 - 4 - 2*c**2) + (-3 - 2 + 7)*(2*c**2 - 4*c**2 - 2*c**2).\nAnswer: -58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/28*2)\/(((-1296)\/28)\/12).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*48\/(-24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzttwcllwwt. What is prob of picking 1 l and 1 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-2)\/6)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**7\/(z**3)**(1\/32) assuming z is positive.\nAnswer: z**(669\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 5*k**2 + 8*k - 8. Let x be f(6). Let j = -3 + x. Let y(g) = 3*g. Let v be y(j). Solve a = 3*q + 12, q = v*q + 5*a + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(3 + 0 + 0)*(-376*a**2 - 29681 + 29681).\nAnswer: -1128*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25845534 a multiple of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 683822235 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.293899 rounded to two dps?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3109\/463 + -2\/3241. Let j = 251604229\/23 - 10932698. Let c = j - 6615. Find the common denominator of q and c.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.265 - -27.1. Let w = 2.3 + -2.305. Let t = z + w. What is t rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1 + (-2)\/(-6)). Let s(w) = 6*w - 115. Let x be s(20). What is the second smallest value in 2, x, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3428 - 3428 - 2511*t**2 + 2525*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/24)\/((15\/(-27))\/5). Let n(m) = m + 4. Let j be n(4). What is the closest to j in -5, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/104)\/((-11)\/(18825488\/24)). Let c = o + 4117. Calculate the common denominator of -107\/14 and c.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -14*h - 30. Sort 0, 4, h.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 151*i\/4.\nAnswer: -i*(i + 151)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/3 - t**4\/3 - 8*t**3\/3 + 4*t**2 = 0. What is t?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 312\/(-42)*(-14)\/4. Let f = c + -12. Suppose -4*x + 3*x + f = 0. What is the greatest common divisor of 154 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121944 is divided by 280477?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2409\/(-33)*-2*11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76555.\nAnswer: 5, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -b - 460, -2312 = -4*o - o - b. List the prime factors of o.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4128 and 2400.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3895?\nAnswer: 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 1 (c) 2216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2752 (base 9) to base 8\nAnswer: -4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-9) + (-1 - 1)*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(64)\/sqrt(2) + 5*(sqrt(2) + 1) + -2 - (2*sqrt(160))\/(-5*1*sqrt(5)).\nAnswer: 3 + 53*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 4*y**2 - 5*y + 1. Let w = -260 + 261. What is the remainder when s(-5) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 - ((-26 - -14) + 23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 6*d - 3*d)*(297 - 46 + 60).\nAnswer: 933*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**4\/24 + 3*u**3 - 3*u**2. Let a be x(-11). Suppose -a*t + 3*t = -16. Solve 2*z = -2*z - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 84 = -0*g. Let a be g\/(-6)*24\/(-28). What is the third derivative of 23*v**2 + 6*v**4 + a*v**4 - 17*v**2 wrt v?\nAnswer: 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 30*u**3 + 2 + 276*u - u**4 - 93*u - 95*u - u**4 - 87*u to r*u**4 + x*u**3 + w + a*u + o*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*v - 12415 = 8333 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 356 + -145. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119671346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(5 - 76\/16). Solve 8*d = x*d - 15, z - 2*d = 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*l + 588*l = 54 + 72 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 4:52 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from rwrwcwrwtccwcrrw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**3 - 3*x + 48*x**2 + 4 + 1 - 46*x**2 - 16*x**3. Let w be i(-3). What is the highest common divisor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 1:35 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1586*f - 18. Let h(g) = 795*g + 8. Give 9*h(t) + 4*m(t).\nAnswer: 811*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -45*r + 2616. Let d be h(58). Solve 5*a - 4*z = -d*z + 11, -2*z + 9 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 0)**2 - sqrt(3))*-4.\nAnswer: -48 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 11*c - 13. Let r be v(-9). Suppose r*u - 2331 = -s + 144, 4*s = -2*u + 1008. Suppose -7*d + 409 + u = 0. List the prime factors of d.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 79, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:02 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 484*h**3 + 1216*h**2 + 500*h - 136. Let q(g) = -74*g**3 - 187*g**2 - 77*g + 21. Let i(v) = 32*q(v) + 5*s(v). What is z in i(z) = 0?\nAnswer: -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/648830 and 77\/8064030.\nAnswer: 56448210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**6\/66 - n**5\/11 - 9*n**4\/44 - 7*n**3\/33 - n**2\/11 + 6. Factor c(o).\nAnswer: -o*(o + 1)**3*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.04268 and -2?\nAnswer: 24.08536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 16. Let x(f) = 18*f**2 + 30*f + 8. Let y(g) = 2*g**2 + 3*g. Let q(t) = -x(t) + 10*y(t). Give w(q(j)).\nAnswer: -2*j**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384265878?\nAnswer: 2, 3, 64044313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*n**2*x*z**2 - 3*a*n**2*x*z - 17*a*n**2*z**2 - 6*a*n**2*z - a*x - n**2*z + n*x*z**2 wrt z.\nAnswer: 4*a*n**2*x - 34*a*n**2 + 2*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18*n**2 + 1 - 34*n**2 - 2*n + 15*n**2. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 2)*(-1 + 1 - 2*k)*(2 + 1 - 1)*(2 - 3 + 0)*(k - 7*k + 4*k) to c*k + g*k**2 + z and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-20))\/(35\/112)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -82033 (b) -3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4469*d**5 - d**3 + 43140*d - 3?\nAnswer: 89380*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2765*m + 21322 = 295057 for m.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 301, 286, 261, 226?\n\"Answer: -5*y**2 + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 10) in base 5?\nAnswer: -3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 660, 5 in decreasing order.\nAnswer: 660, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u - 234 = -16*u - 682 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5)*1) + 2.\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 435100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 19. Let r be (-12)\/8*n - 1. Let d(f) = 0*f**2 - 5*f**2 + 6*f**r + 4 + 8*f. What is d(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10027*i**3 - 10135*i**3 + 19826*i**3 - 1 + 1.\nAnswer: -336*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gom when three letters picked without replacement from {o: 2, b: 4, m: 1, s: 5, g: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-1\/2)\/(a**(-8)*a**(2\/13)*a))\/(a**(-6)*a*a**(-2\/23)*(a\/a**2)**(1\/14)) assuming a is positive.\nAnswer: a**(24079\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20132210212 (base 4) to base 3\nAnswer: 11011220112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 35 + 108*g**4 - 10 - 6*g - 114*g**4. Find the first derivative of r(h) wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 18*p**2 - 2*p - 73. Let u be w(-18). Let m be (-34 - u)*2\/(-6). Which is bigger: 6\/245 or m?\nAnswer: 6\/245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/60)\/((-1981)\/(-849))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/200)\/((16\/(-100))\/(12\/90))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*j + 46, j - 2*n = 3*j - 24. Let g = j + -9. Solve -g*f - 1 = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17378 (base 11) in base 14?\nAnswer: -8c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/2, -0.284?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*a + 78, 2*t = -0*t - 6. Suppose 0*p = -2*p + a. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10566 and 1522678?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/(-2)*(0 + 16114\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-155*q + 56*q - 78*q - 38*q)*(2*q**3 - 4*q**3 + 0*q**3) in the form m*q**3 + h*q + j*q**2 + f*q**4 + p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32647 + -20?\nAnswer: -32667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 156. Suppose 4*t = -n + 72. Solve -4*f - 45 + 10 = 3*v, 3*v = -t*f - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 357306041?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1812 and -47\/60.\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-1)\/(-135)*(-7)\/7?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -464.34373 and -33931.3.\nAnswer: -34395.64373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8488650 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i**2 - 3*i + i + 2*i**3 + 2*i to f*i**2 + o + j*i**3 + h*i and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 60573, 118 in ascending order.\nAnswer: -1, 118, 60573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 340\/17 + -7 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4 - 332384*u**3 + 13808893244*u**2 + 82862334048*u + 124297988418 = 0.\nAnswer: -3, 83099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 30555*h - 854770. Determine m(-28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 4:58 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212.3 + 212. Which is the third biggest value? (a) -0.4 (b) j (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9775734 and 2247.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 60. Suppose -4*q + 32 = -i. Let r = 194 + -74. Calculate the highest common factor of q and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.0907 - 3479.\nAnswer: -3475.9093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*p - 3*p - 25 = 0, 0 = 5*r + 5*p - 85. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-3 - 8 + 0)*(3*s**5 - 5*s**5 + 3*s**5).\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-13)\/z*z**12)\/((z*z*z**5)\/(z*z\/z**9)) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11662606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 4, a: 8}. Give prob of picking 2 a.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57037, 115914, 176631, 239182, 303561, 369762, 437779?\n\"Answer: -u**3 + 926*u**2 + 56106*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 258134834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18*t**3 + 6*t**2 - 1. Let x(s) = 55*s**3 - 17*s**2 + 3. Calculate 8*a(h) + 3*x(h).\nAnswer: 21*h**3 - 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -51*d**2. Let a(b) = -34273*b. Calculate k(a(p)).\nAnswer: -59906564979*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931 - 540 = -85*g - 26 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/2 + 0 + -2. Let y = c - 6. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/118800 and -91\/39600.\nAnswer: 118800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*r**2 - 2830*r + 3779305?\nAnswer: -64*r - 2830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 i when four letters picked without replacement from {a: 1, e: 1, d: 1, i: 2, o: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 1947\/110 - (5 - 861\/(-70))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87059 (base 12) in base 10?\nAnswer: 178053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/10))\/((v\/(v*v**(-6))*v)\/v))\/(v**(1\/5)\/(v*(v\/(v**(3\/5)\/v)*v)\/v*v)) assuming v is positive.\nAnswer: v**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (-34196)\/747 - ((-100)\/630 - 2\/7)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25949*r - 51936. What is c(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2632*j**2 - 4865*j + 4865*j - 363*j**2 to d*j**2 + t + m*j and give d.\nAnswer: -2995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 105.\nAnswer: -26\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2, 5, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(96\/152))\/1)\/((-6)\/36).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.056*-2.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 247*s - 8*s + 2.\nAnswer: 239*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 439+-614833300\nAnswer: -614832861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -335*g - 11. Let d(k) = -1001*k - 29. Give -3*d(i) + 8*v(i).\nAnswer: 323*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2. Let r(m) be the third derivative of m**5\/60 - 8*m**3\/3 + 129*m**2. Let u(l) be the first derivative of r(l). Give f(u(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 178, 276, 394, 538, 714, 928?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, m: 5, d: 3, i: 2}. What is prob of picking 1 m and 3 d?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 4}. What is prob of picking 4 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.061 in 0.01, -5, -11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 3, j: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27065052?\nAnswer: 2, 3, 7, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -354471, -354484, -354505, -354534?\n\"Answer: -4*q**2 - q - 354466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w\/(w\/w**(2\/7))*w)\/w)\/w)\/w*w\/w**(2\/9))\/(w*(w*w**(-1))\/w*w**5))\/(w\/(w*w**(-6))*w**(2\/5)*w**(2\/3)\/(w**(1\/2)\/w)) assuming w is positive.\nAnswer: w**(-7877\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*h + 3*n + 26 = -276*h, 0 = 3*h + 3*n - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2190 + -2189. Which is the nearest to u? (a) -12 (b) -1\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07645 and -0.19?\nAnswer: -0.0145255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 8*s**2 + 8. Let c be k(-8). Suppose 0 = 5*x - 3*x - c. Let u(o) be the first derivative of -o**4\/4 + o**3 + 3*o**2\/2 - 7. Give u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006679 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*53\/40068*7\/(-2)*-112?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 481.5 - 519. Let z = -40.4 - h. What is z rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**7\/5040 - m**5\/60 - 5*m**4\/8 + m**2 - 16. Let f(g) be the third derivative of h(g). Let k(b) = -18*b - 4. Give k(f(j)).\nAnswer: 18*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*r)*(2 + 0 - 4) - 5*r + 0*r + 4*r + 1 - 1 + 2*r + (3*r + 0 + 0)*(-115 - 117 + 110).\nAnswer: -369*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:13 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c - 43*c - 16 = 0. Suppose 5*u = 15*o - c*o + 7, 2 = -u. Solve -o = -5*m + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5305181206 to the power of 1\/2, to the nearest integer?\nAnswer: 72837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/14)\/(1\/(-52)). Is y <= 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/36172376 and -73\/5386.\nAnswer: 36172376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16653 at least as big as 16655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmakqq. What is prob of picking 1 q, 1 a, and 2 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56688*a**2*o**2 + 380*a**2*o - 314885*a*o**2 + 2*a*o + 2*a - 2*o**2 + 3*o + 2 wrt a?\nAnswer: 113376*o**2 + 760*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160965330 to the power of 1\/2, to the nearest integer?\nAnswer: 12687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4.9 (b) -2 (c) 0.312\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y - 1. Suppose -36 = 94*k - 97*k. Calculate the lowest common multiple of p(1) and ((-20)\/k)\/(5\/36*-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1219 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 510 - 59 = -3*o + 489 - 242, 0 = 5*o - 8 - 2 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x - 16. Suppose -5*f + 3*y - y = -98, 4*f = x*y + 76. What is the smallest common multiple of f and (-5 + 4)*66\/(-3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 326 = 87*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 5*z + 22, -4*f - z + 6*z - 6 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(2*sqrt(96)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 171?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34984456?\nAnswer: 2, 13, 43, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:41 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 21*a**2 - 5*a**2 + 594*a**3.\nAnswer: 594*a**3 + 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 872?\nAnswer: 872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let c(m) = -1475893*m - 37. Give c(d(s)).\nAnswer: -1475893*s**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 27*h - 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24506719679\/1356 + 18072808. Let g = -11\/282 - 13\/15933. Let t = h - g. Find the common denominator of -27\/20 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 - -19?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(640))\/((2*sqrt(45) + sqrt(45))\/sqrt(9)).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -y - 9*y. Let u = -19 + 14. What is the lowest common multiple of (-1)\/(7 + -3 + u) and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.97 + -0.03. Let m = -2.6 - 0.4. Let p be 5\/20*2 + (-1)\/2. Which is the second smallest value? (a) m (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -655559*l**2 - 30*l + 9. Let f be z(-9). Round f to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - q + 5*c + 26, 5*q - 5*c = 60. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-20) + (-441)\/(-36). Suppose 0 = t + 5*u - 1074, -5*t = -c*u + 7*u - 5220. What are the prime factors of t?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 4*c + 7. Let o = 471 - 472. Let k be l(o). Suppose 14\/5*s**5 - 2\/5*s - 52\/5*s**4 + 4\/5 + 68\/5*s**3 - 32\/5*s**k = 0. What is s?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.426*0.5.\nAnswer: -0.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 34*p**3 + 21*p**2 - 3*p - 6. Determine m(-3).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/20 + 57\/(-95).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14 (b) -1\/3 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*2*sqrt(612) + (-1 + sqrt(612))*5*4)**2.\nAnswer: -1440*sqrt(17) + 39393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -464244587 divided by -103?\nAnswer: 4507229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59038358 is divided by 2155?\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 202 - (-146 - -144 - (-10 - (-1 - -3)))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012212 + -100?\nAnswer: -1020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1385 + 1385.00000747. What is q rounded to seven decimal places?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22216813.2 take away 5?\nAnswer: -22216818.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358883*c**2 + 47043*c.\nAnswer: 717766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23133983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**9)**(-3) assuming r is positive.\nAnswer: r**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177315 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28561077 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0 - 2*y + 5\/6*y**3 + 3\/2*y**2. What are the prime factors of z(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 85*z**3 - 2001315*z**2 - 14248890*z - 1648640 = 0.\nAnswer: -7, -2\/17, 23552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51966.5671 - 51986. Let f = b - -0.2969. Let l = f + 19. Round l to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0.4, -1803, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 6*l - l + 2. Which is the nearest to -0.2? (a) -2\/3 (b) -0.3 (c) l (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - -4) + (552876*-15)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 42 - 37. Suppose -4*l = -3 - 9. Suppose -k + 4 = l*k. What is the closest to k in 0.4, f, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81674*x = -81632*x + 1107 + 69 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - -1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 + (-1680)\/(-189))*3\/(-528) and -29\/46.\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 10, 16, 24, 34?\n\"Answer: b**2 + b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let c be ((-6)\/(-4))\/(w\/(-2)). Let q(v) = -v**2 - 3*v + 1. What is the remainder when 1 is divided by q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 0*p**3 + 2 + p**3 + 0*p**3 - 18*p**2 - 56.\nAnswer: p**3 - 18*p**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:54 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = x - 48, -4 = -5*x + 11. Calculate the lowest common multiple of w and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 213, 505, 947, 1557, 2353?\n\"Answer: 3*f**3 + 48*f**2 - 5*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/5, -4\/9, -4 in decreasing order.\nAnswer: 1\/5, -4\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:24 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.56 - 3.56. Let d be (-4)\/(-30) - -21*408\/(-135). Let v = 62 + d. What is the third biggest value in c, v, 2\/7, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 3*a**2 - 3*a**2 - 51321992*a + 51321992*a + 103*a**3.\nAnswer: 103*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - z**3 + 2*z**3)*(-4*z**2 + z**2 + 0*z**2).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -14. Let x be ((-1)\/(-2))\/(q\/32). Let v = -6 - x. What is the third smallest value in v, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 60. Let z be (c + (-10)\/6)\/((-31)\/1209). Let p = 70 - z. Solve 4*f - 2*r - 13 + p = 0, -f = -3*r + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 949, 929, 897, 841, 749?\n\"Answer: -2*k**3 + 6*k**2 - 24*k + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55\/100 - 369\/205)\/(1\/(-4)). Suppose 4*v + 8 = -2*t, -4*v - 12 = -0. Suppose -610 = -10*g + h*g - 5*k, 0 = t*g + k - 248. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127765991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - 9139?\nAnswer: -9124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*d = -358*d + 51 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -791. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184719889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (2 - -15 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 5)*30\/4. Suppose c*w - 18*w = -801. Calculate the remainder when w is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 - 37123*m\/5 - 779142\/5.\nAnswer: -(m + 21)*(m + 37102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1, 2\/3, -1\/13, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (900\/8)\/(-5)*2\/3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-266)\/49)\/(-38)*7\/(-10)*-2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70266 or 70265?\nAnswer: 70266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - 64 - (769 - 766)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18018\/35 + 1\/5 + 0. Suppose 3*b + s = 8*b. Let k = b + -102. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 8*h**2 + h + 5. Let p be g(-4). What is the highest common divisor of p and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*a**2 + 4*a**2 - 12*a**3 - 21*a**2 wrt a?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3296\/3*m - 1357952\/3 - 2\/3*m**2.\nAnswer: -2*(m - 824)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/5 - t**4 + 8*t**2 - 10*t. Let m(a) = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1) - ((-129)\/((-153381)\/(-143828)) - 5\/145).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300 + -141. Suppose 4785 = o*c - 154*c. What are the prime factors of c?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4\/7, 53\/5, 4, -2, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9431886 to the power of 1\/2, to the nearest integer?\nAnswer: 3071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w + 22. Determine p(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 320*f - 4477. Give w(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 1. Let o(h) be the first derivative of -7*h**2\/2 - 5*h - 2. Let i = -10 + 9. Determine i*o(p) + 5*k(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14341432*l - 14341260*l = 11008 for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 15 + -27 + (-1 - -25).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 5*l, 4*x - x = 0. What is the tens digit of (l + (-266)\/4)*144\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 24*r - 54. Calculate y(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385 is divided by 1170.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218216*d + 680485.\nAnswer: -218216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrn when three letters picked without replacement from neeqreneeden.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/9*(-15)\/20*(-3)\/75?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2) + 4 + 0. Let h be ((-18)\/(-27))\/(d\/(-3)). List the prime factors of -74*h\/(0 + 2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(12) - (-5 + sqrt(3)*1))*-4.\nAnswer: -20 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 10)*-10*1. Suppose 21 = -j*o + 17*o. Solve -9 - 6 = -o*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 - 15 = -2*b, -3*b + 2*z = -19. Let c(r) = -5*r + 3. Let n(w) = 14*w - 9. Let k(q) = 8*c(q) + 3*n(q). Calculate k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(77)\/sqrt(63) + 2.\nAnswer: -3 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19027 + 34302 = 17*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a factor of 5545966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 - r**2 + 2*r - 1. Let v be n(2). Let g be (0 - 30)*(-2)\/5. Let c = v - g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**4 + 0*k + 2*k**3 - 37 + 5*k**4 + 5*k + 0*k - 3*k in the form z*k**3 + g + t*k + q*k**4 + w*k**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 4*p - 126. Let a(u) = 12*u**2 - u - 1. Let t be a(-1). What is the remainder when p is divided by (-40)\/t*(-2)\/8*18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 5. Is 4 a factor of ((-9)\/z)\/(21\/112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 3*s + 0*s)*(3*s - 4*s + 3*s) + s**2 - 3*s**2 + s**2 to the form r + f*s + m*s**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103306.5 days to hours.\nAnswer: 2479356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-12 - -6) + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n**3 - 6*n**2 - n + 6. Let w(h) = -h**3 + h**2 - 1. Let i(b) = 6*w(b) + x(b). What is the second derivative of i(k) wrt k?\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 + 7. Let u be s(-6). Let o be 2\/u - 30\/(-42). Let t be o*0\/(-2) + -7000. Round t to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 352 + 2*z**2 - 193 + 29*z**3 - 121 to h*z + m + y*z**2 + g*z**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 433704.1 nanometers in centimeters?\nAnswer: 0.04337041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/31 in -0.3, -4, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23683170*o + 23683084*o - 47366254*o - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-1))\/(-20)*(17680\/6305)\/(-34)\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + -14.7. Let d = 0.0121 - -0.0479. What is the second biggest value in d, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 34*n + 337672 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40782487 minus -0.874?\nAnswer: 40782487.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*s - 17, -y - 8 = -2*y - 3*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 17599680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220021 (base 3) in base 4?\nAnswer: -230122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*(2 - 9\/6). Let z = -2 + 15. Let m = z - g. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 27*u**2 - 4*u - 16. Let t be q(-4). Suppose 103*c = 115*c - t. Calculate the greatest common divisor of c and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/9, -5, 0.3, 0.5, 888, -2\/35, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-247 - -251)*1\/(-44)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1906*a + 953*a + 965*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*w - 294 = 70, -12 = -4*w. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(22\/(-143)))\/((-10)\/(-20)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5627762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 3, f: 1, h: 2, e: 9}. Give prob of picking 2 c and 1 e.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - ((-30)\/(-21))\/(-5). Suppose -a = -o - 26, -a + 2*o + l*o = -26. Calculate the remainder when 35 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-34 - -41 - 31).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -431*j**2 - 318*j wrt j.\nAnswer: -862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154000 and 11935.\nAnswer: 4774000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22030 divided by -362.\nAnswer: -11015\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1181?\nAnswer: 3543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -0.5, -1, 60, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 12*o + 36. Let v be u(7). Suppose -4*r = -2*n + 50, v = 2*r - 5. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304) + 1 + 5 + 2)**2.\nAnswer: 128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589777772?\nAnswer: 2, 2693, 54751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 31 + 67)*(2*o + 1 - 1) + o + 0 + 0.\nAnswer: 163*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, 0.1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 8*q - 4. Let b be m(-7). Suppose 5*i - b*i = 4. Factor -6\/7*s**i - 4\/7*s + 2\/7.\nAnswer: -2*(s + 1)*(3*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 4, j: 2, w: 5, r: 4, p: 4}. What is prob of picking 1 j and 1 p?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1758510*q**4 + q**2 + 18437542.\nAnswer: 7034040*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-154))\/((-330)\/1078)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**3 + j**2 - 4*j + 808. Give n(5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/v)\/v**(-2) assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 12*i + 4. Let d be t(-6). Find the second derivative of 0*z**3 - 2*z - z**3 + d*z - 12*z**3 wrt z.\nAnswer: -78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 8\/4 - 2. Solve p = 2*c - 10, c + 8 = 3*s + 5*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*r**5\/2 - 1506*r**4 - 11033*r**3 - 8262*r**2 - 4103*r\/2 - 156 = 0. Calculate r.\nAnswer: -39, -8, -1\/3, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 24*a**2 - 316*a + 307. Let l(q) = 29*q**2 - 317*q + 306. Let x(v) = 5*l(v) - 6*n(v). Factor x(u).\nAnswer: (u - 1)*(u + 312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413242.\nAnswer: 2, 367, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 2647, -1?\nAnswer: 2647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 4. Let x be u(0). Suppose -4*k + x = -6*k. Let j(l) = 4*l - 5. Let g(t) = 3*t - 4. Let y(c) = -3*g(c) + 2*j(c). Give y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(20\/(-8) - -1) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -386, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5923569 - 83*f**3 - 5923569.\nAnswer: -83*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12) + (-1*sqrt(12) + sqrt(12))*3))**2 - (sqrt(20)\/(5*(sqrt(4) + sqrt(12)\/sqrt(3)) - sqrt(4)))**2.\nAnswer: 400\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*w, 5*w = -3*r + 19 - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1020 and -131\/900.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/8*(-2712)\/(-339)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9188087 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lutltaaallkaltlkl. What is prob of picking 2 l and 1 k?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1168 - -1166. Let i = -5 - -5.2. Sort -4, i, q, -5 in increasing order.\nAnswer: -5, -4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2805.7 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -422.1 + 329.1. Which is the smallest value? (a) 3 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*l**5 + 23760*l**4 - 426744*l**3 + 209372*l**2 - 34672*l + 1920 = 0 for l.\nAnswer: -40, 1\/6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.292 + -2.292. Let c = -0.58 + 0.18. What is the second biggest value in c, -36, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*f - 9*f - 9*f - 17*f to the form i + v*f and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1099 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 17*a - 27. Let v be i(15). Suppose -4*k + 7*k = v. Let l(t) = 5*t**3 - 4. Let h(j) = 1. Calculate k*l(m) + 4*h(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.88 - -0.88. Put 14, f, 1\/12 in increasing order.\nAnswer: f, 1\/12, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12526 - 0.31526. Let o = -7 + 3. Put x, o, 0.3 in ascending order.\nAnswer: o, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*q + 4*q - 15*q + 1)*(0 - 2 + 5)*(q - 4 + 4)*(-3*q + 0*q + 2*q) to the form o*q + k*q**2 + r*q**3 + c and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 5619*t**3 + 11247*t**2 - 5625*t.\nAnswer: -3*t*(t - 1)**2*(t + 1875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13228 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 h(x) = -x**2 + 294*x - 9071. Give h(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.3203 and 1466?\nAnswer: 1468.3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j*j**(-14)))\/(j*j\/j**(-16)*j*j) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93*d**3 + 23 - 68 + 34*d**3 wrt d?\nAnswer: -177*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321812 and 3956.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 132. Let p be x(-22). Let b be (2 - (0 - 0))*-2. Sort -0.02, b, p.\nAnswer: b, -0.02, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 divided by 22159?\nAnswer: 1485\/22159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16173 is divided by 1791.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3396.5 + -3397. Sort 2\/7, 0.195, s in decreasing order.\nAnswer: 2\/7, 0.195, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3 + (-143)\/(-44) - (-5)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256307605 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -44244 < 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1090079385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936209308 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2382, 2954, 3898, 5208, 6878?\n\"Answer: -o**3 + 192*o**2 + 3*o + 2188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 992973843 - 992981020.03323. Let c = m + 7177. Round c to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 132*l. Let x(n) = n. Determine b(x(g)).\nAnswer: 132*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + 61947?\nAnswer: 61931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = s - 1, 0 = -2*v - 2*v - 2*s + 8. Let l be -6 + 8 + (v - -26). What is the greatest common factor of 319 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/112 + 94*(-6)\/(-28). What is the greatest common divisor of b and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -w - 53, -32 = 4*w + 532*d - 534*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/((-33)\/12) + 4. Suppose -c*b - 22*b = -60. Solve t + 6 = k - 4*k, -k = b*t + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431552 (base 7) to base 4.\nAnswer: 2011031310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -2*j. Suppose 0 = 4*t - 3*o - 10, t + 7*o - 2*o = -9. Let z be (2 - 2) + t + 1. Solve -j*n = -z*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 893284410*w**5 + 236660826*w**2 wrt w.\nAnswer: 53597064600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44568820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.5671 micrograms in kilograms?\nAnswer: 0.0000002955671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgcggccgcd. What is prob of picking 1 g and 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 + 2*z**2 - 7*z - 41. What is the hundreds digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*z = -239*z + 75698000. What is z rounded to the nearest one hundred thousand?\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 3, m: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = k + 21 + 61, 5*k = 2*v - 42 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 7*h + h)*(-24*h - 87*h + 31*h).\nAnswer: 400*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1924? (a) 0 (b) 2\/5 (c) -0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1921 = -f + 2*f. Let w = 3476 - f. What are the prime factors of w?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*z - m, 13 - 3 = 2*z - 2*m. Let d = -5 + z. What is the common denominator of 18\/(-7) + -1 - d and -121\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592531.\nAnswer: 23, 109, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204508 - -204511. Let d(r) = -r**3 + 3*r**2 - r**2 - r - 2*r. Calculate d(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 less than or equal to 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273459*a**3*c + 339*a**3 - a*c + a + 355*c + 675 wrt a?\nAnswer: 1640754*a*c + 2034*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 34*w**2 - 6833*w - 186. Calculate i(201).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1165*f - 9 + 12 + 1100*f.\nAnswer: -65*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q**2. Let s(i) = 687*i. Give p(s(a)).\nAnswer: -8023473*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86480248 and 64860186?\nAnswer: 259440744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 14900 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/44 and -21\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 6*k - 23075 + 22986 = 2*k, -4*q - 2*k = -5*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/7*-4 - 84\/(-147). Let j = -121\/63 - -15\/7. Factor 2\/9*c**3 + g*c - 2\/9*c**4 - j*c**5 + 0 + 2\/9*c**2.\nAnswer: -2*c**2*(c - 1)*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*n + 19 = -a, n - 27 = -a. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 8*l**3 - 3*l**3 + (6*l - 2*l - 5*l)*(4*l**2 - 2*l**2 - 3*l**2) - 2*l**3 + 0*l**3 + l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 + 2*p**2 + p**2)*(-4 + p + 2 + 5) as h*p + w*p**3 + o*p**2 + j and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 + a + 1. Let g(t) = 4*t**3 + 7*t**2 - 24*t - 46. Let i(h) = -g(h) - 5*w(h). Is i(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**4)\/((h*h**0\/h)\/(h\/h**4))*(h\/(h*h*h*h**(-5))*h*h)\/h**(-3)*h**(-5)\/h**(-2\/7) assuming h is positive.\nAnswer: h**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j - 11. Let b be n(-5). Which is smaller: -2\/295 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(700) + -1 + sqrt(700) - sqrt(700) - sqrt(700))*-1*-1 + 3 + -5 + (-3*(sqrt(700) - (sqrt(700) + 2*sqrt(700))))**2.\nAnswer: 25195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -5, 0 in ascending order.\nAnswer: -5, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70584 and 10200.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 1, j: 2, l: 1, z: 2, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.2 - -1.2. Let f = 7 + u. Put f, -3, 5 in descending order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-1))\/(-5 + 8). Let c = -1232\/5 - -72698\/295. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72971 is divided by 8074?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13297537829 - -3.\nAnswer: -13297537826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2 + 1211711*v = 0.\nAnswer: 0, 1211711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h + 4 = 41*h. Sort -3, -8, h in ascending order.\nAnswer: -8, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 1. Let m be k(2). Let d be (m - 3)*2\/(-4). Let a = d - -2. Solve 0 = -a*f - f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6224, 0, -1, 4 in increasing order.\nAnswer: -1, 0, 1\/6224, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 72.38543 minutes?\nAnswer: 4343125800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -3.5, 1 in decreasing order.\nAnswer: 45, 1, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 26 = -4*v. Is v + (-3 - 90\/(-5)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -1\/12*g**5 + 0*g**3 + 4*g**2 + 0*g - 1\/30*g**6 + 0*g**4 + 0. What is the third derivative of m(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 352, 990, 1882, 3028?\nAnswer: 4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 452130000 rounded to the nearest 1000000?\nAnswer: 452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719335 is divided by 1095?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 + 80*c**2 = 0. What is c?\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 25. Let s(t) = -2*t**2 - 14*t - 7. Let b be s(y). Suppose n - 2*k = 0, b*n - 2 - 7 = k. Solve -f + 4*q + 3 = -n, -f + q = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13308 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (1 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7051 (b) 0 (c) 0.5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 124 - 116. Let v = w - 27. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 158?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4208479*y**3 + 4208649*y**3 - 8417131*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (5 - -4) - -14. Calculate the remainder when 149 is divided by ((-12)\/o)\/(3\/(-135)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159*g*t**2 - 103*t**2 wrt g.\nAnswer: 159*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6001, -12047, -18119, -24217, -30341, -36491?\n\"Answer: -13*d**2 - 6007*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/21 and 19\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0 - 5 + 4. Let j(i) = -3*i**2 + 3. Let s(o) = -3*b(o) - j(o). Let x(h) = -16*h**2. Determine x(s(r)).\nAnswer: -144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 113720 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*d - 2*d - 2 = 0, -13 = -3*z - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6*k = -4*k + 327, -4*w = -2*k + 258. Suppose 17 + 1 = 18*o. Find the common denominator of 15\/2 and (o - 20\/16) + w\/(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/807?\nAnswer: -2\/807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-168)*-14*(-1)\/4. Let i = 2 - 25. Which is the nearest to -2\/3? (a) -5 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14809*v + 2*v**2 - 2*v**2 - 10*v**3 + 14860*v + 1 to the form o*v + g*v**3 + q*v**2 + j and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -5*i - 2*z, 0*z = 4*i + 4*z - 156. Let h = i - 114. Let p be (-10)\/55 + h\/(-22). Calculate the highest common factor of 21 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 5 - 23 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-12 - (-3 - -2)) + 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**(-1)*o)\/o)\/o*o)\/(o**(1\/20)\/o*o))\/((o**18\/o)\/o**13) assuming o is positive.\nAnswer: o**(-61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 0*u - 3*u - 23, -u - 13 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19998 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {i: 3, y: 3, r: 3, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f**2 - f)*(2264*f**2 + 365*f**2 + 500*f**2 + 1798*f**2).\nAnswer: -9854*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 66*m + 3 = 0. Is -70 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18457 - -18465. Calculate the remainder when 142 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(48))\/(sqrt(5) - 1*sqrt(320)) - ((-1 + sqrt(3) + 3)**2 + (sqrt(27) - (sqrt(27) - (sqrt(243) - sqrt(27))))\/sqrt(9)).\nAnswer: -169*sqrt(3)\/28 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.5 - -5.500000686. What is l rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x + 8*x - x - 1 + 2. Let w be l(-1). What is the least common multiple of (2\/w)\/((-7)\/(-210)) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2. Let g(r) = r**2 - r. Let s be g(1). Let x = s - -7. Let i(o) = -o**2 + 8*o - 8. Let t be i(x). Determine f(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14624242 (base 7) to base 11.\nAnswer: -877894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 1859*n - 929*n - n**2 - 3*n**2 - 948*n to p*n + i*n**2 + o and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*y - 299*y = -11*c - 177, 0 = -3*y + 2*c + 49 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - r**3 + r**3)*(7*r + 6*r - 3*r)*(1 - 1 + 2).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 8:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4 - 13 - 33*m + 10*m + 13. Let o(u) = -35*u + 6. Let z(v) = -5*o(v) + 8*w(v). Differentiate z(a) wrt a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7040988.\nAnswer: 2, 3, 131, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 353099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u + 431. Let n(s) = -s + 33. Let k(i) = -h(i) + 12*n(i). What is k(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -7*a**5\/120 - a**4\/4 + a**3\/6 + 3*a. Let n(j) be the second derivative of u(j). Let h(k) = k + 1. Determine 5*h(f) + n(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (0 + sqrt(363))**2 + -2.\nAnswer: sqrt(3) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-56))\/((-9)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p + 10. Suppose 6*h - 190 = -40. Suppose -k = 5*u + 5, -6*u = -2*u - 5*k - h. Calculate x(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 2, p: 1}. What is prob of picking 2 s and 1 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16ba (base 16) in base 13?\nAnswer: -2857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(0*x**4 + 0*x**4 - 4*x**4) + 0*x**4 + x**4 + 2*x**4 + (-x + 2*x + 2*x)*(4*x**3 - 3*x**3 - 2*x**3).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133746 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29524656 and 84883386?\nAnswer: 679067088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13980*y - 1 = 4*j + 13982*y + 25, 2*j + 33 = -5*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*u**3 - 1 - 2 + 3.\nAnswer: -90*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.1 (b) 0.3 (c) 522430\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 6385860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 116 = -10*n. What is the units digit of 3\/(-1) - (n - 419)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1192 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 10*v + 10. Determine s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 17 - 17)*(-9*v + 6*v + 12*v).\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1446 (base 10) to base 2.\nAnswer: -10110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -97, 3, 1\/6, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115226853 and 29673.\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4653 - -4654. Let i = 1170842\/179 - 6541. Is p < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 741750 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -5, 5, 1, 2640, -3 in decreasing order.\nAnswer: 2640, 8, 5, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92183 - 287?\nAnswer: -92470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*g + 34 + 24 - 62 in the form o + r*g and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1 - 1 - 2*s - s**2 + 0*s - 4*s. Suppose -6*a + 14 = -5*a. Suppose -5*o - 3*w = 2*w + 10, -a = o - 5*w. Give h(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -213\/76 + 39\/19. Which is the closest to 0? (a) r (b) 9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 2, b: 5, x: 3, j: 7}. Give prob of picking 1 f and 1 b.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 0.46. Let x = -2163\/2 + 1121. Let i = 38 - x. What is the closest to -2\/7 in i, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4308 and -35\/4308?\nAnswer: 4308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 + 42*f**3 - 921*f**2 + 1558*f + 5043\/2.\nAnswer: -(f - 41)**2*(f - 3)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 2*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6149164833.\nAnswer: -6149164834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 115968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**4\/8 - 3*n**3 - 63*n**2. Let u(v) be the second derivative of v**3\/6 - 5*v**2\/2 - 4*v. Determine -5*a(d) + 18*u(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/830)\/(-1) - 0. Let g = y - 4929\/830. Calculate the common denominator of g and 131\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 1323110212?\nAnswer: 1323110233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y - 270*y**3 - 22*y - 26*y + 272*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 + 3*s**2)*(-5*s**3 + 4*s**3 + 5*s**3).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8731 + 17084. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s - 65*s + 2*s = 1056 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/11 at least -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = -1564 + 1676 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n - 95. Let u(o) = -6*o + 22. Let m(t) = 2*d(t) + 9*u(t). Let r(x) = -7*x + 7. Determine -5*m(g) + 6*r(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/11 and -69\/40946.\nAnswer: 450406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -685102 (base 12) to base 2.\nAnswer: -110010111001001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 2. Let x(y) = -2*y - 5. Let d(w) = -1. Let c(a) = 12*d(a) - 3*x(a). Calculate 3*c(l) + 4*g(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5\/4*s**4 + 0*s - 1\/4*s**3 + 5\/4*s**2 + 1\/4*s**5 = 0. What is s?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029527335?\nAnswer: 3, 5, 1777, 113657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88.152 + -88. Let w = f - -0.948. Sort -2\/7, w, 3 in decreasing order.\nAnswer: 3, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 383.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -70375077.1 to the nearest 1000.\nAnswer: -70375000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 965 and 59089073?\nAnswer: 295445365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43806 and 648.\nAnswer: 4731048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 8249*p + 11612820. Give u(-1801).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -4*f - 4*n + n, -5*f + 220 = 5*n. Let a be ((-10)\/f)\/(4\/(-6)). Which is smaller: 0.7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzllzxpxpz. What is prob of picking 2 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 15, v: 5}. What is prob of sequence tt?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.986, 39, 5, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6897 and 957?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-480)\/384 + 185\/140)*(-1)\/(-1)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 274. Let m be ((-2)\/4)\/((-7)\/j). Let b = 69 - m. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 25704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/5*c**2 + 2\/5*c**5 + 0 + 0*c - 6\/5*c**3 + 0*c**4 = 0 for c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5899905839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6 = 6*q, -177*q + 5*p + 3 = -180*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 = -3*t + 4*h, 5*h + 25 = 0. Find the common denominator of -121\/6 and -3 + t*3\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(-4)*(-8)\/10. Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22*s + 72795 = 17*s, f - 3*s - 18183 = 0. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -2217?\nAnswer: -2217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 + 140. What is the nearest to q in -0.1, -1\/4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-1 + (sqrt(7) + 4 + 2 - (sqrt(77) - (sqrt(77) + sqrt(77)*-2 + sqrt(77) - sqrt(77)))\/sqrt(11))**2).\nAnswer: -840 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -13. Let m be (-33)\/4 - 4\/n. Let h(f) = -f**3 - 7*f**2 + f - 9. Calculate the remainder when h(m) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 2 + -213 + 164 - (0 + 12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybvb when four letters picked without replacement from {q: 2, b: 1, y: 2, p: 1, v: 2, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**3 + 5*j**2 + 5. Let z be (-5)\/(1\/2*2). Suppose 4 = 4*o - 8. Let u be (6 + z)\/(o\/15). Let m(i) = -i**3 + i**2 + 1. What is u*m(p) - g(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -27 + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/619? (a) 0 (b) 1\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 5. Let r(w) = -w**2 + 8*w - 5. Let u be r(5). Let t be y(u). Let k = t + -8. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 221*h - 650*h - 332 + 216*h + 216*h as b*h + u and give u.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:54 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52276122 (base 8) to base 10.\nAnswer: 11107410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/11 + 1186*i**3\/11 + 16332*i**2\/11 + 69624*i\/11 + 83376\/11 = 0?\nAnswer: -579, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*-3*sqrt(170)*-2)\/(((sqrt(1440) + sqrt(40))\/sqrt(4) + sqrt(10))*-4))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(7400\/750))\/6?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -35*s**2 - 3358*s - 12895. What is q(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -49*z**2 + 481*z + 482. Determine i(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 3844*d**3 + 15387*d**2 - 19238*d + 7696.\nAnswer: -(d - 2)*(d - 1)**2*(d + 3848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k. Let g(h) = 3*h**3 + h**2 - 3*h + 1. Determine g(n) - 3*z(n).\nAnswer: 3*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -3.519 (c) -187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16123.2 and -34019.\nAnswer: -17895.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 27720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -4)*(-9)\/(-6). Suppose -u = -c - 2. Put -2, 2, c in increasing order.\nAnswer: -2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 12. Let h be c(-4). Suppose -16*j + 6*j + 40 = h. What is the second derivative of -7*b - 6*b**4 - 6*b**j - 2*b wrt b?\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y + 2. Let c be f(-5). Solve -c*u + u = 4*s + 22, -3*s + u = 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*p - 3*p = 130, 137 = 3*q + 2*p. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 325\/55 + (-3)\/(-33). Calculate the greatest common factor of n and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4558 and 4028?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 7) to base 10\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 98708*s - 1. Let c(v) = v. What is t(c(i))?\nAnswer: 98708*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -453 - -447. Let g(a) = a**3 + 6*a**2 + 3. Give g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19631\/12 + 1634. Calculate the common denominator of 51\/220 and m.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - -15) - 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*i + 5*v, 13 = -i - 4*v - 4. Let y be 4 - (-1 - (i + (9 - 4))). Let k(g) = g + 17. Let f(p) = -2*p - 26. Determine y*f(q) + 8*k(q).\nAnswer: -2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(192) + -4) - (sqrt(192) + 0 + sqrt(192) + 1 + 1))**2*-5.\nAnswer: -108500 + 40000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.34 and -0.18957?\nAnswer: 0.0644538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*l**3*n**3 - 3*l**3*n**2 - 2*l**3*n*y**2 - 8*l*n**3*y - 4*l*y**2 wrt y?\nAnswer: -4*l**3*n*y - 8*l*n**3 - 8*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = q - 5*g, -q - 3*g = -5 - 7. Let t(m) = -6*m - 11. Let z be t(1). Put q, 2, z in ascending order.\nAnswer: z, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 6, -9, 0, 545 in descending order.\nAnswer: 545, 6, 0, -1, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(-25*b**2 + 266 - 266) + 9*b - 9*b + 2*b**2 in the form q*b + t*b**2 + i and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*o - 8. Let y be 1*(-3 - 0)\/o. Let m(z) = 24*z - 1. What is the units digit of m(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**4 - 3*b**4 - b**4)*(-5 + 1 + 5 - 1 - 4 + 2 + (1 - 1 + 2)*(2 - 5 + 5) + 2 - 1 + 0).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 2:13 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + u - u)*(-3*u - 186*u - 248*u + 28*u).\nAnswer: 2454*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvh when three letters picked without replacement from {v: 2, c: 4, h: 2, k: 1, n: 2, m: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256 + 258.9. Let u = m - -2.1. Let d(x) = x + 8. Let t be d(-10). What is the closest to t in 0.7, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581*c**3 - 2627*c**3 + 1269*c**3.\nAnswer: -1939*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(-1\/23) assuming f is positive.\nAnswer: f**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*m + 2*m - m)*(-4*m + 7*m - 4*m) - 6*m + 6*m + 2*m**2)*(0*m + 2*m + 0*m) to n*m + j*m**2 + u + w*m**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-866 + 59*a**2 + 866)*(-2*a**2 + 6*a**2 - a**3 - 3*a**2) + (-2*a + 2*a + a**4)*(1 + 2*a - 1) + a**5 + 1 - 1.\nAnswer: -56*a**5 + 59*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x. Let u(z) = 26*z. Let y(t) = 5*t. Let k(s) = -3*u(s) + 16*y(s). Let h(m) = -4*m. Let w(b) = 2*h(b) + 5*k(b). Calculate q(w(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b3c9b (base 15) to base 9.\nAnswer: 13447012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -945.5926 rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-34)\/(-2) - 2. Suppose -2*p + u = 1. Let v(o) = 4*o - 8. Is v(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1714878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8506 + 1770246?\nAnswer: 1778752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 30, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:09 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 23*r - 20*r - 5*g, 4*r - g - 9 = 0. Put -4\/3, -8\/19, -5, r, 0.2 in decreasing order.\nAnswer: r, 0.2, -8\/19, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from yyeyiyi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228863707 rounded to five decimal places?\nAnswer: 0.22886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3) + -6 + -5 - (-17 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 101?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**4 - 1845*y - 3372 wrt y?\nAnswer: -4*y**3 - 1845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-285)\/57 - (-11 + 3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-1 + 0 - 1)*(0 + 2 + 2*b - 1).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 11966.\nAnswer: 17\/11966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12442877.\nAnswer: 12442877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24931 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -77*f**4 + 2*f**3\/3 + 1641*f**2\/2 + f + 255. Find the second derivative of s(v) wrt v.\nAnswer: -1848*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1222*(18 - 4935\/273). What is the greatest common factor of 12 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 2, -5.\nAnswer: -5, 2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508587479 is divided by 3735?\nAnswer: 3734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Let i be (7\/f - 1) + 3864\/(-35). Let j = 925 + i. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**4 + 5*z**4 - 3*z**5 + (-2*z**2 - 4 + 4)*(-22*z**3 - 29*z**3 + 12*z**3).\nAnswer: 75*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/49 + -4\/49. Let g = -101\/372 + 2\/93. What is the nearest to z in 4, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*h - 362*h - 6*h**3 + 729*h.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162\/5*l**2 - 2838\/5*l - 2\/5*l**3 - 14278\/5.\nAnswer: -2*(l + 11)**2*(l + 59)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:31 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 7855797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 8. Let u be v(6). Suppose -u*m = -m - 117. What is the greatest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(6\/14)\/((-6318)\/189)?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.99 - -0.42. Let s = o + -1.51. What is the closest to s in 5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgggqqgqqqqqgq. What is prob of sequence gg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azz when three letters picked without replacement from zazaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 88*y + 15398. Determine m(-91).\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/16 - -1)*((-59850)\/189)\/25. Factor 4*d + 7\/4*d**4 + 1\/4*d**5 + 25\/4*d**2 + p*d**3 + 1.\nAnswer: (d + 1)**3*(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7835 is divided by 7794.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111111001101011 - -11?\nAnswer: -100111111001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) + 82\/8. What are the prime factors of 4 + r + (0 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f**3 - 43*f**3 + 87 + 4*f**3 + 9.\nAnswer: -4*f**3 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*j**3 - 14241*j**2 + 1851386*j - 115656.\nAnswer: (j - 732)*(j - 158)*(16*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 771\/15 + 4\/(-10). Suppose -356 + 84 = -8*g. Calculate the highest common factor of g and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 7*g**3 - 8*g + 7*g - 3*g.\nAnswer: -7*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1438.5798 minutes to weeks.\nAnswer: 0.14271625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1524, -1685, -1968, -2379, -2924, -3609, -4440, -5423?\nAnswer: -6564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/3, 1\/10, -1\/12, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66666448*o - 76276930.\nAnswer: -66666448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -4. Let c = d + -14. Suppose c = -2*q + 12. Solve q*i - 6 = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0)*(-3*l + 3*l - 2*l**2) - 2*l**3 + l**3 + 3*l**3 + 6*l**3 - l**3 + 0*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 25980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:48 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14383?\nAnswer: 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 896 = 2*i - i. Calculate the remainder when 425 is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*j - 2 - 403 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/((-2)\/(-20)). Suppose v - 3*v = -x. Let o(y) = -y + 66. Let d be o(0). Calculate the highest common divisor of d and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 - 49596*w - 49592 = 0.\nAnswer: -12398, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.57 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4715039, -9430121, -14145203, -18860285, -23575367, -28290449?\nAnswer: -33005531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 32 = 24. What is the units digit of 54\/36*d\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h**3 - 3*h**2 + 3*h. Let t(w) = -22*w**3 + 5*w**2 - 5*w. Let c be 6\/10*((-70)\/7 + 15). Determine c*t(s) + 5*u(s).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niinnnn. What is prob of sequence nn?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 1, f: 1, r: 1, j: 1, w: 2}. What is prob of picking 1 w, 1 r, and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -14842 <= -14845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2, -4, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s - 84. Let j be k(8). Let p(d) = -3*d. Let x(t) = -33*t - 12. Let o(w) = j*p(w) - x(w). Calculate o(13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 2*45\/(-6). Calculate the greatest common divisor of r and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33525.81 days in microseconds?\nAnswer: 2896629984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:59 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 6*a + 16. Suppose -2*i = z - 113, -z + 82 = a*i - 22. What is the greatest common divisor of 68 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 3 + 250*d**3 - 126*d**3 - 122*d**3 - 2*d**4 in the form c*d**2 + f*d + r*d**4 + p + k*d**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 0 + 1 - -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 7*o**6\/10 + 23*o**4\/12 - 25*o. What is the third derivative of s(k) wrt k?\nAnswer: 504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 + 0.013?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/10 - y**2\/2 + 189*y. Calculate w(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -2*g - l - 4*l, -2*g + 3*l = 52. Let y be g\/(-24)*6\/(-2). Let h be 1*9*y\/(-6). Let c(r) = r**2 - 5*r - 1. Calculate c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n - 6 = 0. Solve -5*h + 15 = -10*h + 3*m, 0 = -2*h + n*m - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 9*u + 10. Let s(g) = g**3 + 5*g**2 + 6*g. Let n = -1 + -3. Let h be s(n). Let k be j(h). Solve 2 = -3*q - o - o, -2*o = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/19 + 19294*d\/19 - 2380500\/19.\nAnswer: -2*(d - 9522)*(d - 125)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3768 and 0.055219.\nAnswer: -208.065192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -13. Calculate the remainder when 9 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) -2\/13 (c) -1\/121 (d) 5318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - 3798 - 4096 + 12013 = 3469 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115745 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 26*j. Let u(v) = v**2 - 5*v. Let z(f) = 2*m(f) - 11*u(f). Suppose 0 = 3*c + 2 - 17. Let q be z(c). Are -9 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 5. Let k(f) be the third derivative of 3*f**5\/20 - 307*f**2 - 2. What is k(c(z))?\nAnswer: 36*z**4 + 180*z**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (90 + 21 + 45)*(-3 - 4*n**4 + 3 + (3*n + 1 + 0 + 0)*(n**3 + 0*n**3 - 2*n**3)) as q*n**4 + t*n + b + r*n**2 + o*n**3 and give o.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**19*y)\/y))\/y)\/(y\/((y**13*y)\/y)*y)*y**9*(y*y**(-18))\/y assuming y is positive.\nAnswer: y**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-343)\/(-2))\/(2\/10). Let o(g) = g**3 - 57*g**2 + 155*g + 381. Let a be o(54). Factor 5\/2*l**a + 105\/2*l**2 + 735\/2*l + u.\nAnswer: 5*(l + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 - 0.3. Let t = -1.6 - -1.62. Let o = f - t. Which is the closest to o? (a) 5 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/140 and 43\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = 2*b + 3*w, 0 = 3*w - 15. Let n(a) = -34*a**3 + a**2 - 2*a + 1. Calculate n(b).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 2*f + 14 + (7 - 14 - 7)*(-4*f + 2*f + f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(2\/3))\/(1 - 0) + (-217095)\/(-180030).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5653*q - 55380. Determine a(-10).\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*6\/(-21)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -900)*(-24 - -4). What is v rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189*(-4 - 186\/(-72))*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56407 - 3.03983. What is l rounded to 2 dps?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/19 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90930.\nAnswer: 2, 3, 5, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38311493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -55, -82, -109, -136, -163?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 + 131032*u**4 - 262052*u**3 + 131024*u**2 = 0 for u.\nAnswer: 0, 1, 32756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*v + 1164*v - 52*v = 9856 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*y**2 + 124*y**4 + 32*y**2 - 1 - y**4 + 1 + (-2*y**4 + 0*y**3 + 0*y**3)*(6 - 4 - 1).\nAnswer: 121*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 15\/7, 54139 in ascending order.\nAnswer: -0.4, 15\/7, 54139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 46 = -4*y, 2*d - 2*y - 54 = 4*d. Let p be (4059\/d)\/((-1)\/4). Suppose 0 = -6*u + u + 2*x + p, -5*x = u - 126. What are the prime factors of u?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198 != 2193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - a. Let n be g(-5). Suppose -3204*o = -3202*o + 2. Put o, n, -2 in ascending order.\nAnswer: -2, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v = -248*v - 129 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9706*s - 2068 = 9800*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 + 12905*l**2 - 41667000*l + 208012500 = 0. What is l?\nAnswer: 5, 6450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 13*n + 73. Let z be l(7). Let i be (-6)\/(-18) + z\/225. Let d be 1\/((-4)\/(-2))*0. Which is the closest to -2\/9? (a) d (b) i (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.99423 meters?\nAnswer: 899.423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.108 - 0.06. Let l = i + 2.052. What is l rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*m = -5 - 3, -21112*g + 21109*g - 4*m = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -23*u - 67. Let z be v(-7). Suppose -4*j + 4 - 18 = -p, 4*p + 3*j = z. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) - sqrt(204)*-2*4)) - sqrt(204)))*1)\/(4*sqrt(108)*-6 - sqrt(108)) + -1.\nAnswer: -1 - 3*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*n**3 + 19*n**3 + 5*n - n**2 - 13*n)*(-n**2 - 1 + 1).\nAnswer: -3*n**5 + n**4 + 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**8\/840 + d**5\/40 + d**3\/3 - d. Let w(t) be the second derivative of o(t). What is the second derivative of w(x) wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (3 + 4 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 56?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.82681 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h = -72*h - 58*h + 756 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -105, -207, -309?\n\"Answer: -102*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 7:53 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8))**(21\/8)*(q**(-2))**(4\/15) assuming q is positive.\nAnswer: q**(-323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -0.4, 5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -51*h + 86*h + 90*h**3 - 37*h - h**2 + 2. Let n = -1 + 2. What is the tens digit of d(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6391 + 805*u - 427*u + 6086*u - 1760*u wrt u.\nAnswer: 4704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/114 and 25\/494.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 + 9*m - 188. Calculate c(-17).\nAnswer: -1786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (49 - 19)\/((-3)\/(-4)). Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 304889640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 - 0.1. Let m = 489.79 + -490. Let l = m - -0.19. What is the smallest value in 5, -1\/3, l, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1990 + -486. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/75109 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k. Let z(n) = n - 1. What is v(z(m))?\nAnswer: 7*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75014*q*y**3 - 9*q*y - 44*q + 8*y**5 + 60*y - 3 wrt y?\nAnswer: -450084*q*y + 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 8*d**2 - 2*d - 12. Suppose -2*m = m + 24. Let q be r(m). What are the prime factors of (7\/q)\/(1\/20)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -6, -5, 3, -3 in decreasing order.\nAnswer: 3, -3, -5, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53531384*j**2*m**3 - 1431*j**2*m**2 - 189*j**2 - 2*j*m**6 + 3*j - m**2 + 1 wrt m?\nAnswer: -321188304*j**2 - 240*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4095.9 - -4096.1. Let p = -17\/18 + 71\/72. Which is the third biggest value? (a) -4\/5 (b) -0.4 (c) g (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13049649 divided by -307\nAnswer: 42507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -1)\/(-6)*-6. Suppose -2*x + 2*q + 43 = s*x, 3*q + 6 = x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (6 + -5 + 6). Let p(u) = 126*u**2 - 2*u - 4. Let i be p(j). What is the highest common divisor of 96 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12417249067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263890 is divided by 8511.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 35057004 divided by -1\nAnswer: -35057004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756 is divided by 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28\/39 + -1364\/273. Put q, -3, -2 in descending order.\nAnswer: -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6028363207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5925 + -5387. Solve 15 = -535*z + s*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/22368 and -79\/160?\nAnswer: 111840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7443 at most as big as -7445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -405, -3.2, -2, -1, 1.\nAnswer: -405, -3.2, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -3*o + 3*w, -60*o + 44*w - 114 = -59*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/20*(-680)\/16)\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280*u**3*v**2 + 132*u**2 - 2*v**2 wrt u.\nAnswer: -1680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 39 + 5 = 4*h, -4*o - 2*h + 18 = 0. Calculate the remainder when 298 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80358?\nAnswer: 2, 3, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002836513245 rounded to six decimal places?\nAnswer: 0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1866 and 10.\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2981799\nAnswer: -1\/993933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 2796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1597481, -3194944, -4792381, -6389786, -7987153, -9584476, -11181749?\n\"Answer: d**3 + 7*d**2 - 1597491*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 18, q: 1}. What is prob of picking 3 x?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -4. Let x(f) = 12*f**2 + 1. Let g be x(1). Let c = -10 + g. Calculate the highest common factor of c and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a week in minutes?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122, 1046, 968, 888?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from hwwwwwwswwwwwswww.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 20. Let r = 9.99 + f. Round r to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2583 and 2583 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -1 - (29 + (-49 - -33)) - (10 + -18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190305797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mddu when four letters picked without replacement from {m: 1, g: 9, d: 3, u: 2, j: 2}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 12. Let w be r(9). Let d be -1*13*(-4 - w). Suppose -2*c - 5*p = -9, -20 = -4*c + 5*p + d. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -5. Let j(i) = i**3 + 7*i**2 - 8*i - 6. Let w be j(z). Let t be 20\/w*(-21)\/14. Solve 10 = t*u + 3*y, 2*u + 3*u + y = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*j + 5*f, 4*j - 155*f = -156*f + 25 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*w = 6*w + 8, 3*z - 6 = -4*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c - 10*c**3 + 4*c**2 + 4*c**3 - c wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 13*b - 1. Let s be m(6). Suppose t + 105 = s*l + 4*t, -5 = t. Calculate the lowest common multiple of 16 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -18*d + 2. Determine m(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 378.246479 to 0 decimal places.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1715*s**2 - 4140*s - 4120*s + 8260*s.\nAnswer: -1715*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/(x**(2\/11)\/x))**(1\/22) assuming x is positive.\nAnswer: x**(9\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952301 is divided by 17005?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5 + 3. Suppose -3*t + 631 = z*k, -3*k = -5*t + 340 + 731. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*m*q - 5*m - 15*q**4 + 29 wrt q.\nAnswer: 11*m - 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7174, -2\/9, -6 in decreasing order.\nAnswer: -2\/9, -6, -7174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/2 of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25713.\nAnswer: 3, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.95 times -0.3?\nAnswer: 1.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*b - 6, 2*b + 7 = 4*z - 3*b. Suppose -2*j = -f + z*f - 80, -j = 5*f - 192. Suppose 2*t - 64 = f. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -5*d + 22, 6*m - 3*d + 2 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*2*sqrt(75)*1*2 + 0 + 2)**2.\nAnswer: -1920*sqrt(3) + 691204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 2:06 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*a - 531*a + 4*c = 537*a + 183, 0 = 2*c - 4 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 24, 0.8, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6745468741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 o when three letters picked without replacement from {t: 3, r: 6, f: 5, o: 3}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 16) in base 9?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20094, 20961, 22404, 24423, 27018, 30189?\nAnswer: 33936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwahjhj. Give prob of sequence ha.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103\/3 - 34. Let l = 45 - 12. Let j be 6\/11*11\/l. What is the closest to n in 1, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -776, -1410, -2042, -2672, -3300, -3926, -4550?\n\"Answer: l**2 - 637*l - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**3\/6 + w**2\/2 - 10*w. Give p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3676 - -4347. List the prime factors of n.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18704463 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3292*u**3 + 2*u - 2*u - 3291*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 2178.23.\nAnswer: -435.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -3, -2, 1154 in increasing order.\nAnswer: -3, -2, 3, 14, 1154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 2*l**2 - l. Suppose 5*c - 3*c = 4. Let b(x) = -x - 9. What is the remainder when v(c) is divided by b(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-32))\/(-1))\/((-51)\/34)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (0 - -22) + -3 + 12 + 9 - -2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/7 + 2012*w\/7 - 1012036\/7 = 0 for w.\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w)**35*(w**2*w)**(-33) assuming w is positive.\nAnswer: w**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 8*v. Suppose 5*w - 10 + v = 0. Solve -2*u = -0*u + w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.46 from -9867887.\nAnswer: -9867883.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k = -50*k - 124 - 352 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2 = 7. Suppose 5*l + 5*a = -15, 5*l + f*a + 1 = -4. Suppose -5*x = -l*i, 0 = 6*x - 3*x + i - 11. Solve -9 = -x*g + 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/90 and (16\/(-28))\/((-93876)\/(-2604) + 7)?\nAnswer: 46710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3222 + 1742 = 4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 29*u + 10. Let g(a) = -29*a - 11. Let x(q) = 4*b(q) + 3*g(q). Let v be x(6). Suppose s + 3*y + 2*y = v, -y - 2 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-32)\/(-12))\/((-1)\/(-24)). Solve -5*j - 7 + w = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 3*q**2 + 9*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/3 - 424031*v**2\/3 - 6360664*v\/3 - 11025196\/3 = 0?\nAnswer: -13, -2, 424046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4.504, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n - 8. Is c(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95080 is divided by 31689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 50 = 4*a - 5*x, -a + 22 = 5*x. Suppose 0 = -f - 48 - 31. Let t = a - f. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + (2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6\/11, 40, 0.15?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 18 + k - 4*k + 4*k. Let a be r(-6). Solve -5*b - 3*u + 34 = a, 0*u - 25 = -2*b - 5*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(25\/(-120)*40).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s - 2904 = 48*s - 334 + 432 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68765 + -62?\nAnswer: 68703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5039041835 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*w + 807*w = 169*w - 686*w + 12280 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2382 + 8674. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77347584 - 77347584 + 3341*r.\nAnswer: 3341*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g + 49. Let m(a) = 16*a - 98. Let t(f) = 3*m(f) + 7*v(f). Does 11 divide t(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*h + 3*h - 53, -4*h - q + 75 = 0. Let x(u) = 25 + 5*u - 2*u - h. Suppose -24 = 20*i - 16*i. Determine x(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 240 = 5*p. Solve -4 = -4*a - p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082.8 times -0.1586?\nAnswer: -171.73208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 302, 2 in descending order.\nAnswer: 302, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 121*r**3 - 9*r**2\/2 + 11*r + 272. What is the second derivative of u(i) wrt i?\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 36?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -27*r**2 - 4. Let y(h) = -1403*h**2 - 207. Let x = -2002 + 2209. What is x*g(a) - 4*y(a)?\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -201?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 313. Let o be c(0). Let v be 622\/(0 + 2 - 0). Suppose 3*j + 0*j = -4*d + o, -5*j + v = 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 8*i**2 - 5104*i - 30535. What is q(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1139*u - 1154. Give h(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 greater than 1114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/q*q)**(-35)\/(q**(-2\/7)\/q)**(-45)*((q**3*q)\/q*(q**12\/q*q)\/q)**(1\/20) assuming q is positive.\nAnswer: q**(-3021\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*d**2 + 6*d - 6*d - d + 0*d to m*d + s + p*d**2 and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516.688 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.6, 12?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 104, -13, -272, -697, -1312, -2141, -3208?\nAnswer: -4537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 29. Let g(v) = -4*v + 28. Let c(o) = 5*g(o) + 6*l(o). Let y be c(-17). Solve 2*p + 11 = -3*k, -1 = 5*k - p - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:57 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:29 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3806926 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -54 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**3*w**3 + 71*u**3 - 199*u*w**3 - 2*u*w**2 + 17*u*w wrt w.\nAnswer: 6*u**3*w - 1194*u*w - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49497 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000303198569 rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 652*i**2. Let r(o) = -32352*o**2. Determine u(r(d)).\nAnswer: 682417041408*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -29142.1 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + 89 - (2 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 - (-26)\/(260\/150). Suppose -5*y + 10 + 25 = 0. What is the second derivative of -y*i + h*i**4 + 19*i - 38*i wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 293328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvs when four letters picked without replacement from vxlxvxxllxxsvlsxxx?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3633069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 423 = 693 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 10:51 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -194, -259, -328, -401, -478, -559?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/24*32\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*g + 4*g = 0, -4*x + 6 = g. Suppose -3*w + 3*k = -27, k - 2 = -3*w - k. Suppose -w*m = 3*z - 49, -5*m + 3 + x = 0. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -286*b**2 + 199*b**2 - 6*b + 3793 + 209*b**2 wrt b?\nAnswer: 244*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -2*l. Calculate the least common multiple of 4 and (4\/l)\/(5\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*f + 40. Let o be 85\/f + 2\/(-16). Let x(y) = -2 + 7*y + 5*y - 14*y. What is x(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9224 + -55225\/6. Find the common denominator of 2 - (-1 + 930\/316) and j.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137 is divided by 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 5\/6*l**6 + 0*l - 8\/3*l**3 + 0*l**2 - 2 + 0*l**5 + 0*l**4. What is the third derivative of n(m) wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16220, 16364, 16494, 16604, 16688, 16740?\n\"Answer: -v**3 - v**2 + 154*v + 16068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*1.305568\nAnswer: -2.611136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 17*d**3 + 3*d**2 - 621*d - 4423. Determine s(-7).\nAnswer: -5760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l - 3. Let r(s) = -17*s + 7. Let a(k) = -5*c(k) - 2*r(k). Let j(p) = -2*p + 7. Determine -6*a(h) + j(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97.23 + 96. Let g = -0.73 - v. Does g = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 147\/(-98)*8\/22. What is the smallest value in -0.5, 5\/2, a, 2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.542 - 0.028. Let q = -1.031 + k. Let w = 0.017 + q. Which is the third smallest value? (a) 19 (b) 1 (c) 3\/2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*((x*x**(1\/4)*x*x)\/x)\/x)**(-2\/5)\/((x\/(x*((x*(x**(-2\/3)*x*x*x)\/x)\/x)\/x))\/(x**(-20\/9)\/x)))**(-15\/2) assuming x is positive.\nAnswer: x**(377\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w**2 - 7*w + 4. Let v(t) = 6*t - 27*t**2 + 0*t + 0*t - 4*t - 8 + 31*t**2 + 7. Let s = -2 - -4. Calculate s*r(d) + 7*v(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 22 = -4*s, 4*s + 1 = -4*i + s. Find the third derivative of 36*q**3 + 84*q**4 - 31*q**i - 93*q**2 - 61*q**2 - 34*q**3 wrt q.\nAnswer: 2016*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 920 (base 12) to base 7\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**4 - 1328*n**3 - 105612*n**2 + 215192*n - 108256 = 0.\nAnswer: -68, 1, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o. Let t(d) = -31*d**2 - 12*d + 1085. Determine b(t(y)).\nAnswer: 217*y**2 + 84*y - 7595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 25*r**2 + 2 in the form i*r + s + z*r**2 and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 171, -2, 3, 4, -15 in ascending order.\nAnswer: -15, -2, 2, 3, 4, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186529 is divided by 1727.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 379.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 9*n + 48, -111760*f = -111759*f + 5*n + 8 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69218*b + 66323*b + 1 + 1 + 167711*b.\nAnswer: 303252*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0507 - 8229.\nAnswer: -8228.9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11322416 (base 9) to base 16\nAnswer: -5405ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(-4)))\/j)\/(j\/(j**3\/j)))\/(j**(1\/3)*j**2))\/(j\/(j*j\/j**(-4))*j**6*j**(-2\/3)*(j\/(j**(1\/4)*j))\/j) assuming j is positive.\nAnswer: j**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1, -132\/23?\nAnswer: -132\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f - 1. Suppose 7*x - 25 + 11 = 0. Let u(c) = 16*c**2 + 14*c - 14. Calculate x*u(p) - 28*g(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 271. Let l = 267.17 + d. Let x = -0.17 + l. Which is the smallest value? (a) -3\/4 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 425024 and 1.732.\nAnswer: 736141.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - j**2 - 2*j + 112. Let n be u(0). What is the greatest common factor of n and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*v + 2*t, 4*v - 5*t - 9 = -4*t. Solve p + 3 = -v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010101 + 1001010010101?\nAnswer: 1010110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*l + 4*x, 2*l + 0*x + 3*x = -33. Let f be (-9)\/l - (-39)\/(-15). Which is the nearest to 1\/3? (a) f (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/2 + i. Let k(z) = z - 14*z + 3*z. Calculate b(k(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j - 20 = -3*i, 0 = 2*j + 4*i - 10. Sort j, 3, -4, -1.\nAnswer: j, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) + -8 + 267\/(-9). Which is the third biggest value? (a) 1\/3 (b) 1 (c) -5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211979.34 microseconds to minutes.\nAnswer: 0.003532989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*m**3 + 3*m**3 - 20*m**2 + 3*m**3 + 21*m**2 as f + k*m**2 + x*m + n*m**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1385040206*p**3 + 4*p**2 + 4 - 2*p**2 - 4 - 2*p**2 - 1385040205*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 629882010 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/w**(1\/4))\/w)\/w*w)\/w)\/w)**(4\/11)*(w**(2\/15)\/w)\/(((w\/((w\/(w*w\/w**(-2)))\/w*w))\/w)\/w) assuming w is positive.\nAnswer: w**(-608\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 + 2. Let b(o) = -4*o**3 - 12*o**2 - o - 3. Let v(m) = b(m) + 5*k(m). Factor v(g).\nAnswer: (g - 7)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -2*k - 10, -3*m - 4*k = -16. Suppose -10 = -5*o, -6*z = -4*z + m*o - 78. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-6) + (-51)\/(-34). Suppose 6*b - 2*b = 8. Let k = 1 + -1. Solve -b*m - m - i = k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o - 93. Let t(p) = 2*p + 11. Give -f(d) - 4*t(d).\nAnswer: -2*d + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 281 - 281.2. Let h = -1.63 - -2.13. Put 2, h, p, 0.4 in ascending order.\nAnswer: p, 0.4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*b**2 + 0 + 65015*b - 65806*b to v*b**2 + f*b + p and give f.\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11.8+-0.28\nAnswer: -12.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 11. Let p(x) = -4*x + 10. Let y(m) = -2*m + 1. Let b be y(3). Let g(d) = b*i(d) - 6*p(d). Let s be (-8)\/3*((-6335)\/(-280) + -23)*0. Give g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7*(-11)\/(-11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 4\/5 (c) -2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 56*v**2 - 442*v + 676 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148165073 divided by -469.\nAnswer: 315917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z + 5*c, 0*z = 2*z + 3*c + 3. Suppose -1 = p, 4*g = -0*g + z*p + 3. Suppose -b = -g*b - 1639. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 0. Suppose m - 4*m - 2*w + 57 = b, -w + 18 = m. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -645 by 129.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-9)*(-57)\/266 + 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 plus -217?\nAnswer: -217.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 4. Let n(z) = z**2 - 2*z - 7. List the prime factors of n(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/20 - t**4\/2 - t**3 - t**2 + 4*t. Let h be r(-5). Solve -h*b - 1 = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5477189.\nAnswer: 5477189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132\/5*d**2 + 36\/5*d - 12\/5*d**5 + 0 - 87\/5*d**4 - 69\/5*d**3 = 0. What is d?\nAnswer: -6, -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 16*v = 24 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b**2 + 4*b - 5. Let t be i(1). Let k be ((-20)\/(-16))\/((-12)\/t). Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*k**(-1))\/k)\/k*k*k*k**3*k)**(-4\/3)\/((k**(2\/5)*k)**(9\/10)\/((k**(1\/5)\/k)\/k*k*k*k**(-3))) assuming k is positive.\nAnswer: k**(-1609\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 6 = 26*x - g, x + 5*g = 22. Is x + 0 + (-9 - -3306) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**10\/5040 - p**6\/360 + p**3\/3 - 3. Let l(a) be the third derivative of r(a). What is the third derivative of l(i) wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1217*n**3*p*x**3*z + 65*n**3*p*z + n**3*p + 465*n**2*p*x - n**2*x**3 + n*p*x**3*z - 702*x**3*z wrt n?\nAnswer: -7302*p*x**3*z + 390*p*z + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3959 and 3.\nAnswer: 3962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -82*o**3\/3 - o - 2. Let g be j(1). Let t = 70 - g. Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(2205)*1)\/((sqrt(30)\/sqrt(3))\/sqrt(2)))\/(sqrt(1200)*2*-6) + -5.\nAnswer: -5 - sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5, 0*y = -4*w - 2*y + 814. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 - 2*i**3)*(50*i - 62*i + 37*i + (-3 + 5 + 10)*((-4 - 2 + 4)*(-3 + 2*i + 3) + i - 4 + 10 + 0*i) - i + 2*i - 2*i).\nAnswer: 24*i**4 - 144*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2549.\nAnswer: 15294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 1245757500*n + 77595587440312500.\nAnswer: 5*(n - 124575750)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787*f + 2230 + 918 = 0. Sort -3\/5, f, -1, 22, 5.\nAnswer: -1, -3\/5, f, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 23*f**2 - 3*f - 17. What are the prime factors of g(4)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(21\/4)*k**(-1\/30)*k\/(k*k**(4\/13)\/k*k)*k**26\/k assuming k is positive.\nAnswer: k**(23329\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = 0, 2*v + 1701 - 204 = n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a7a31 (base 14) to base 12\nAnswer: -5b50a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/29)*j*j*j*j**(-2\/121) assuming j is positive.\nAnswer: j**(9743\/3509)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0 = 3*m - 5, -m = 2*y - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1981 - -91791. What are the prime factors of z?\nAnswer: 2, 5, 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((12\/(-18))\/((-4)\/(-30))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9223 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: How many minutes are there between 8:41 PM and 5:08 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141138997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 160 = -13*t. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -11 + (27 - 38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -627649, -1255300, -1882953, -2510608, -3138265, -3765924, -4393585?\n\"Answer: -o**2 - 627648*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353198, -353196, -353192, -353186?\nAnswer: -353178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -5 in descending order.\nAnswer: 13, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -132*p + 6006. Determine w(46).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) 305380 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 36*k**2 + 102*k + 5154. What is l(-37)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 312310020213 (base 4) in base 16?\nAnswer: db4227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1237\/4 - -309. Which is the nearest to h? (a) -4\/3 (b) 0.02 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 25 + 11 = 0. Suppose -h + 6 = h. What is the remainder when n is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 2. Let p be d(-2). Let r be p\/6 - 2\/(-3). Suppose r*a + 17 - 137 = 0. What is a rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/((-4860)\/(-4040))*(-1)\/8 and (-6)\/(432\/518) - -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + 4*m - 4*m + 5*m in the form t*m + s and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-6 - -16) + -5 + (-18 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 790 - 552. List the prime factors of u.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m = -35*m - 29*m + 72. Which is greater: m or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2922*f = -2939*f - 408 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169*p**2 + 17*p + 2?\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2592) + -1.\nAnswer: -1 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -26*d - 11. Let b(x) = -5*x - 2. Determine 33*b(p) - 6*w(p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 4. Let h(b) be the third derivative of -b**4\/6 + b**3\/2 - 39*b**2. Calculate 7*h(v) + 5*i(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*u - 25 - 10, 37 = 2*m - 5*u. Let r = -869 - -934. Calculate the greatest common divisor of m and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -650, -954, -1258, -1562?\nAnswer: -1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 41656802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/12 + 10670\/(-2328))\/((-25)\/500)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6301 - 6300.5. Let z = -18\/35 - 419\/70. Which is the closest to z? (a) -1\/5 (b) p (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -5, -1.2, -44, -8.04?\nAnswer: -8.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 5:53 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22442390699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Simplify ((d\/(d*(d*d\/((d\/(d**(-2\/9)\/d))\/d)*d)\/d)*d)**(-3\/5))**(-39\/7)\/((d**(-2)*d)\/(d**6*d)*(d**(1\/3))**(-30)) assuming d is positive.\nAnswer: d**(656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t**3 - 2*t**2 + t. Suppose -5*i - h + 3*h + 10 = 0, 0 = 3*h. Let x be 15 + -20 - (-2 + -2). Let b = i + x. Give q(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -0.01, 0.3, 2\/7, 3384 in decreasing order.\nAnswer: 3384, 0.3, 2\/7, 0, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 171*b - 51. Let g(a) = a**2 + 5*a + 2. Let w be g(-5). Let o(r) = 17*r - 5. Let n(k) = w*f(k) - 21*o(k). Find the first derivative of n(j) wrt j.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 384 or 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 - 8*a - 84. Let o be y(12). Suppose -o = 62*u - 66*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-285))\/((-4)\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -1\/24*r**4 - 7\/3*r**3 + 3*r**2 + 0*r + 0. Let y be (-6)\/(-7)*(0 + -7). What is i(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 9*a**2 + 11*a + 13. Let c be i(-10). Suppose -g + 5*g + 292 = 4*s, -4*s = c*g - 313. What is the remainder when s is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y = 10*y + 28 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 5843352\nAnswer: -23373408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**3 - 5076*q**2 + 10140*q - 5068 = 0.\nAnswer: 1, 1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*1970\nAnswer: 11820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 5, 2\/153, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + (sqrt(425) - (0 + sqrt(425))) + 5 + sqrt(425).\nAnswer: 5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6144*t + 2674*t - 2*t**3 - 5 + 6.\nAnswer: -2*t**3 + 8818*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -662 - -1152. Suppose -7*y = r + 511. Let k = -80 - y. Calculate the remainder when k is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3283 + -7?\nAnswer: -328a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157321.014 + -157487. Let i = 166 + y. Is i bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + 59 - ((51 - 293) + 248)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 241705 = -5*x, -211*x = -215*x - 2*r + 193352. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2, -55\/14, 1\/4, 0.5 in ascending order.\nAnswer: -55\/14, 1\/5, 1\/4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*t = -31 - 83, -3*f + t = -105. Factor -25*w**3 + 90*w**2 - f - 4 - 5 + 5 - 60*w.\nAnswer: -5*(w - 2)**2*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1181315, 2362687, 3544063, 4725443, 5906827, 7088215?\n\"Answer: 2*m**2 + 1181366*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 877884 and 1470.\nAnswer: 4389420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 84. What is t(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 245544130 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebkkeekkkeekkbekb. Give prob of picking 2 k.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/16)\/((-20)\/40)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 2\/3*m**4 - 2*m**3 + 0 + 0*m + 4*m**2. What are the prime factors of j(4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757*i**3 + 314*i**3 + 2576*i**3 - 646*i**3 + 683*i**3.\nAnswer: 3684*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (55\/2)\/(7\/14). Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -114*x - 10141. Let p be f(0). Round p to the nearest 100.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149.19 - -150. Let v = m + -0.77. Let x be (-8)\/18*(-2)\/8. Which is the second smallest value? (a) x (b) -1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**3 + 16*t**2 + 19*t + 35. Let f(p) = 7*p**3 - 16*p**2 - 19*p - 34. Let a(b) = -3*f(b) - 4*v(b). Is 19 a factor of a(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 23. Let m be w(-7). Solve -2 = -3*j - c, 0 = -m*j + 3*c - 4 - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 19. Calculate the highest common divisor of x and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4517, -9177, -13837, -18497, -23157?\n\"Answer: -4660*o + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) 0.4 (c) -58 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2295*r + 16192. Calculate o(-7).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + -0.12. Which is the second smallest value? (a) 4 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 + 126 + (-4 - -1) + 0 - (-4 + -15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*j + 641*j = 416 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.174 times -1596.6?\nAnswer: 29016.6084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 234\/493?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9230483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 + x + 3. Let f be b(-3). Let j = 87 - f. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 10:31 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0964 - -5.0964. Let i = 490.7 + -491. What is the fourth smallest value in i, -10, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28956 - 0.29. What is w rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 7*o - 2. Let l(z) = -z**2 - 7*z - 3. Let d be l(-5). Determine x(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.7, 62 in increasing order.\nAnswer: -4, -0.7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 8*m**2 - 4*m + 4. Let y be r(-4). What are the prime factors of ((-37)\/37)\/(y\/(-83) + 1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003168765 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*a + 57, -3*a + 16 + 17 = 4*d. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssdsdsssssssss. Give prob of picking 1 d and 2 s.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 9*v**2 + 7*v - 6. Let z be h(-8). What is the third derivative of -6*t**2 + 4*t**2 - t**2 - t**z - 3*t**4 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from {s: 5, j: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*q + q + 5*s, 0 = -4*q - 5*s + 3. Let f be (5 - (q + 0)) + 1. Suppose 5*z + 2*l + 5 = 6*l, f*z + 3*l - 27 = 0. Solve z*o - 3 = -18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 0, -2, 198, -6 in descending order.\nAnswer: 198, 5, 0, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 18\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4 + 8. Calculate the highest common factor of 24 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 - -2.7. Let r = -0.08 + -6.92. Let f = r - -5. What is the second biggest value in 2\/3, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3603654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:54 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 71411\/(-12)) + 9\/108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (1*sqrt(77) - sqrt(77)))*4 - sqrt(77) - (1*sqrt(77)*-4 - sqrt(77)))\/(2*sqrt(704)).\nAnswer: 9*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -881\/5 + 176. Which is the smallest value? (a) 1\/2 (b) 1 (c) q (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21902, -21204, -20062, -18476?\n\"Answer: 222*n**2 + 32*n - 22156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwaf. What is prob of picking 2 w and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 364, 832, 1490, 2338?\nAnswer: 3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3\/2 - 10245*y**2 - 61392*y + 163776 = 0?\nAnswer: -6824, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2 + 252*o - 2769 = 0.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59900.\nAnswer: 2, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 913\/3073 + 20\/(-70). Is s greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.098194 (c) -1\/60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00172362 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 + 2*v**4 + 3*v**4)*(-26 - 18*v + 26) - 2*v**4 + 2*v**4 + v**5 + 4*v**3 - 4*v**3 - 2*v**5 - 2*v**5 + 5*v**5 - v**5.\nAnswer: -35*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55279.34 nanometers in millimeters?\nAnswer: 0.05527934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(63) + (sqrt(63) - (-1 + sqrt(63))))**2 - ((-2*sqrt(1008) - sqrt(1008))**2 + sqrt(63)).\nAnswer: -9264 - 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 504436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 3 - 3 + (-4 + 2*k**3 + 4)*(-2*k + 0*k + 3*k) - 2*k**4 + 6*k**4 - 3*k**4 - k**4 - 3*k**4 + 2*k**4)*(-25 + 25 + 16*k).\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 1, u: 2, v: 1}. What is prob of sequence upvu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -138. Let n be ((-248)\/12)\/(2\/3). Let k = n - m. Solve 2*g + 12 = k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = o - 57, -4*t - 31*o + 1204 = -40*o + 1625 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*z**2 - 33*z**3 - 362*z**2.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -374 and 318824732170.\nAnswer: 318824731796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 133021 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 793 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let f(q) = -6460*q - 1. Give t(f(p)).\nAnswer: -6460*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4 + 49499848*b**3 - 153139734001284*b**2 + 306279319503040*b - 153139635001600 = 0. Calculate b.\nAnswer: 1, 6187480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blb when three letters picked without replacement from {o: 3, l: 10, b: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46524340663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380\/223 or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -4 + -2 - (-1 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 11. Let k(c) be the second derivative of -c**3\/2 + 2*c**2 + 2*c - 15407. Let s(q) = q**2 - 8*q + 11. Determine d*k(r) + 4*s(r).\nAnswer: 4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28397 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: Convert 105282.7 centuries to millennia.\nAnswer: 10528.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88598 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.0012, -0.3, -991, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 36. What is the nearest to 1 in 9, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006485982 rounded to six dps?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a**2 - 12. Let u(w) be the second derivative of -w**4\/4 - w**2\/2 + 84*w. Let v(o) = n(o) - 6*u(o). Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n\/(n*(n\/(n*n**2))\/n))\/n*n*n)*n)\/n*n**(3\/4)*n**(2\/5)\/n**(-2\/13)*(n**(-1))**(1\/11)*(n*n**(3\/5)*n)\/n*n*n**7*n assuming n is positive.\nAnswer: n**(4469\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103644583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/2))**12*(s\/(s*s\/(s\/(s**2*s))))\/s*s**(-2\/9)\/s assuming s is positive.\nAnswer: s**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 11 - 11 - (-3 + 17)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -334981\/16890 - 2\/8445. What is the common denominator of -73\/3 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 0, -1, 8\/7, -7, -17\/2 in increasing order.\nAnswer: -17\/2, -7, -4, -1, 0, 0.3, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2113, 29, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 114651?\nAnswer: 114638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3.18 (b) 31717 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92737886291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4891, 4810, 4729, 4648, 4567?\n\"Answer: -81*r + 4972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -115.555 (b) -2\/11 (c) -1\/55 (d) -3\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-24 + 75 - 22)*(2 + 2 - 2) - 5 + 2 + 5 + 0 + 3 - 6 + (2 + 0 + 0)*(-3 + 5 - 4))*(0*j + 3*j - 4*j) to the form h + b*j and give b.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-1 + 2 - (3 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and -94.64210634.\nAnswer: -79.64210634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.2 (c) 158 (d) 2\/7 (e) -4 (f) 7 (g) -6295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**29*i*(i**(2\/11)\/i)\/i*i)\/(i*i\/(i*i**(-1\/2))*i*i**(3\/4)) assuming i is positive.\nAnswer: i**(1185\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -1, 163, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 - 48 = -48*u + 2*w, -u + 3*w + 13 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 6, 25 in descending order.\nAnswer: 25, 6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-2 - -5 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 7*o - 2*o)*(-3*o - o**4 - 3*o**4 + 4*o - 2).\nAnswer: -12*o**5 + 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from bwmbbmbbmhwwbbbmpbmb?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1321*u**3 - 1847*u**3 + 1000*u**3.\nAnswer: 474*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 519*p + 58780. Calculate a(-352).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 357201.\nAnswer: 357200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/6 + a**2\/2 - 66*a. Let i(v) be the second derivative of v**4\/6 - 20*v. What is i(d(m))?\nAnswer: 8*m**4 + 8*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from sissxssxxsxiiis.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61594 by -178.\nAnswer: -30797\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) 8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 5*w**2 - 70*w - 120.\nAnswer: 5*(w - 4)*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -3)*(4 + -2). Differentiate 64 - 26*t**3 - 2*t**2 + t**x + 36*t**3 wrt t.\nAnswer: 30*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+3.4366465\nAnswer: 3.0366465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4092*s + 2049*s + 2045*s - 418 in the form w + p*s and give w.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = f + 14456, -4*o + 9892 + 1668 = 4*f. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -4.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - 1261743?\nAnswer: -1261691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and -4 + ((-1074)\/32)\/((-58)\/8).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f - 5. Let r(b) = -b. Let m(x) = -g(x) + 2*r(x). Is m(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52765.\nAnswer: 5, 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4537414 to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x*x**0*x)))**(-8\/3))**49\/(((x*x**(-1))\/((x\/(x\/(x*x**(-1\/2))))\/x))\/(x\/(x\/(x*x**2))*x*x\/x**3)) assuming x is positive.\nAnswer: x**(-3127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13460986 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57939618.\nAnswer: 2, 3, 11, 877873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2624.83446 to the nearest integer.\nAnswer: -2625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -43, -93, -161?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 7*w**3\/6 - 5*w. Let v(m) = m. Determine j(v(c)).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116514 is divided by 13757.\nAnswer: 6458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(95)\/sqrt(5))**2 - 1*sqrt(2299)).\nAnswer: -65*sqrt(19) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 862 - -463. What are the prime factors of j?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 7. Let y be p(-5). Suppose 2*c = y - 5. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -16*a + 1. Let d(r) = -4*r**2 + 22. Let v(h) = 3*h**2 + 2. Let i(s) = d(s) + v(s). Determine i(x(f)).\nAnswer: -256*f**2 + 32*f + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 46 + 14 = 0. Let h = -10 + r. Let b be 3 - -2*(-1)\/h. Solve 3*a - b = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5232393157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 533 + 38 = 0. Solve -17*a + i*a = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 2515514?\nAnswer: 2515541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*s = s + 27, -3 = -l - 3*s. What is the lowest common multiple of 4\/(-8)*(-40)\/2 and -4*(1 + l)*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1051 + 275?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 757079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 - 2*w - 4. Let q(c) = 3*c**2 - c. Let s be q(-1). Let n be z(s). Solve 1 = -k + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.53353 rounded to zero decimal places?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 11. Determine d(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -7. Let z be -1 - 2 - j - -1. Is z <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3877*v + 82*v + 7136*v - 1573*v.\nAnswer: 9522*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*i + 85 = -0*s, -10 = -s + 3*i. Suppose 104 = s*h + 4. Solve -h*o + 3 = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhshebbhh. Give prob of sequence bb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 20 - (-4 + 0) - (172 - 168)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2805 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2818336129347.86 and -0.4.\nAnswer: 2818336129347.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 71*p**2 - 4*p + 2696. What are the prime factors of c(67)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 12*b + 5. Let d(v) = -13*v - 6. Determine -6*d(q) - 5*n(q).\nAnswer: 18*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*d - 2*d. Solve -d*b - 12 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -62. Let b = 67166 + -66748. What is the remainder when b is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 + 702*p**3 - 2*p**2 - 3*p**2 + 2*p**2 - 4*p**2 to the form i + k*p + z*p**2 + l*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4\/7 - 270*g**3 + 87648*g**2\/7 - 1385984*g\/7 + 7348224\/7 = 0?\nAnswer: 16, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29423*t**3 - 17198*t**2 + 17198*t**2.\nAnswer: 29423*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27736?\nAnswer: 2, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a factor of 100428235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a - 2945 = -73*a. What is the smallest common multiple of 135 and a?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.37 (b) -1\/4 (c) -2\/17 (d) -0.3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (164 - 192)) + -1 + -137?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 4*q + 0*q + 9 - 6*q + (2 - 2 - q**2)*(-3 + 6 - 2) + 2*q**2 + q**2 - 5*q**2.\nAnswer: -6*q**2 - 2*q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4 - (-6 - -27). Let c = g + 16. Is c\/(-12) - (-1748)\/24 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 2*j - 4, -4*o - j - 12 = -8*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.428 minus -2?\nAnswer: -1.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -1587.5938.\nAnswer: 31.751876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035\/138)\/((9\/(-4))\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641.6101s in nanoseconds?\nAnswer: 641610100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -28351382 to the nearest ten thousand.\nAnswer: -28350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.024, 0.5 in ascending order.\nAnswer: 0.024, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(27) - 6*sqrt(432)) + sqrt(27))\/(sqrt(441) + sqrt(441)*2 - sqrt(9)) - 6*(-4 + sqrt(3) + (sqrt(3) - sqrt(15)\/sqrt(5)) + 1)).\nAnswer: -71*sqrt(3)\/10 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000132596 rounded to six decimal places?\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - -4.2. Let d = -4.1 - -4. Which is the nearest to d? (a) 0.4 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 306.7 - 303.7. Which is the third biggest value? (a) 1\/4 (b) 20 (c) -2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 47 + (-6 - -6 - (3 + -1)). Let b = f + -11. Calculate the remainder when b is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/8 and 32\/397?\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16996, -0.5, -0.058 in decreasing order.\nAnswer: -0.058, -0.5, -16996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + 1)*(1 + 2*s**4 - 1) + 2*s**3 + 3 - 3 - 2*s**4.\nAnswer: 10*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -341 + 573. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 53546.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/13)\/v*v)\/v)\/(v\/(v**10\/v*v))*v\/v**(-3)*v\/(v\/v**(-3\/2)*v*v) assuming v is positive.\nAnswer: v**(225\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 329149815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281 - 269. What is the remainder when 56 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-10 - -15 - -10) + -13 - -9?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(1216) - sqrt(1216)) + -2 + -4*(1 + sqrt(1216)))*-3)**2 + (-2 + sqrt(1216)*-1 - sqrt(1216))*-2 + 1)*5.\nAnswer: 20320*sqrt(19) + 877750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3136, 1747, 360, -1025, -2408, -3789, -5168?\n\"Answer: m**2 - 1392*m + 4527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 + -0.39. Which is the nearest to t? (a) 0.3 (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-3*3\/(-9). Suppose 0 = -5*g - 4*y - 16, 5*g + w*y + 4 + 14 = 0. Suppose 5*k + 8 = -3*z, -24 = -3*z + k + 2*k. Put g, 5, z in increasing order.\nAnswer: g, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y + 1978 + 136*y**2 - 990 - 990 wrt y.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10123 divided by -6.\nAnswer: -10123\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 59*c**3 + 649*c**2 + 3. Let p be g(-11). Solve -3*l - 6 = 0, p*i + 5*l = 6*i + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-3*(-36)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1982457344805 + 1982454057570.9099845. Let l = h + 3287235. Let x = -0.91 + l. Round x to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {a: 1, m: 3, w: 2, e: 4, x: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110040 - 133032?\nAnswer: -243122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 97. Suppose 5564*o - 5574*o + 110 = 0. Calculate the remainder when c is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.39 and -107625?\nAnswer: 107623.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b - 1)*((2*b - 5*b + 0*b)*(-8*b**3 + 3*b**3 - 2*b**3) - b + b + 2*b**4).\nAnswer: 23*b**5 - 23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 20 = -5*v, -3*h + 5*v = -3876 + 3896 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185654529.\nAnswer: 3, 19, 389, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6 - (-2713149)\/63) + (-8)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 2*n - 48, -48 = -4*x - 2*n. Let l be 41\/6 - (-2)\/x. Solve 4*b - l = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, f: 3, j: 1}. Give prob of sequence djdd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 3*r + 5. Give b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-5 - (-2 - -2151) - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -13*v + 67. Let r be y(5). Let c(g) = g**3 + 4*g - 6*g**r + 3*g + 4 + 4*g**2 + 7*g**2. Calculate c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2\/7 - 2300048*r\/7 + 114992400\/7 = 0. Calculate r.\nAnswer: 50, 574962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 21 = 14*u, 518*q - 521*q + 18 + 6 = 4*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b + 5*b + 3*b to z*b + l and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**4 - m**4 - 2*m**4)*(0 + 0 + 1) - 40*m**4 + 266*m**4 - 489*m**4 to the form f*m + s*m**3 + h + r*m**2 + d*m**4 and give d.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 97, 2, 1, -12089, -6 in descending order.\nAnswer: 97, 2, 1, -1, -6, -12089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -58, -79, -96?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 times -151129?\nAnswer: 15415158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a**(1\/2))\/((a\/a**(2\/3)*a)\/(a*a**(3\/5))))\/(a**(-7)*a*a*a**(-4\/5)*a)**19 assuming a is positive.\nAnswer: a**(2759\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/5 + 232*a**2\/5 + 96*a.\nAnswer: -4*a*(a - 60)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1 + 4) + -3. Determine c, given that x*c + 21*c**3 - 6 - 24*c**3 + 7*c = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, 5, 10.2, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 53*s + 22. Let a be n(4). What is the greatest common divisor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 5*l + 12*l - 8*l. Solve -x = l - 32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 6. Let x(p) = 0*p**n - 4*p**3 + 3*p + 6*p**3. Let a(o) be the first derivative of o**4\/2 - o**3\/3 + 2*o**2 - 764. What is 3*a(c) - 4*x(c)?\nAnswer: -2*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20117788 a multiple of 724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 21. Calculate the highest common divisor of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27863*j**2*o**2 + 17*j**2 + 19*j*o**2 - 143*j*o - 7 wrt j?\nAnswer: -55726*o**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2)*(8 + -1511 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 11, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159028256 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(7)*3)*2 + (2 + sqrt(847))**2.\nAnswer: 40*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/254053864 and 53\/24.\nAnswer: 762161592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 116029.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355271143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1246031*k**2 - 1121193*k wrt k.\nAnswer: -2492062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -680, -747, -866, -1043, -1284, -1595?\n\"Answer: -f**3 - 20*f**2 - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 584*125.\nAnswer: 73000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 201594 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 105*d + 2171. What is b(-18)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-6)\/8)*(-15)\/2. Let j = -7 - b. Calculate the remainder when 3 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*4)\/sqrt(9)*-1.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15390 - -15640. Solve 0 = 258*q - t*q + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*c**2 + 122*c**2 - 62*c**2)*(2 - 2 + c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 - 10*d - 600 = 0. Calculate d.\nAnswer: -10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 4. Let u = 0.6 - s. Let g = -0.8 - -1.3. Put g, -3, u in ascending order.\nAnswer: -3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**5\/15 + 22*q**4 + 116*q**3 + 520*q**2\/3 - 1329. Factor z(p).\nAnswer: p*(p + 2)**2*(p + 260)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23977 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 44 = -40. Suppose 201 = 3*o - i. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 3 + 3)*(3 - 5 + 1) + 24*k - 24*k - 15*k**2 - 84*k**2 - 7*k**2 + 8*k**2.\nAnswer: -95*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**3\/6 - s**2 + 629*s. Give h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaadoaaaxdx. Give prob of sequence daa.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 406 - 397. What is the greatest common factor of h and 900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 211 = 625. Suppose -u*r = -48*r + 360. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -2655424.\nAnswer: 45\/1327712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.066 + 0.084. Which is the nearest to l? (a) -1\/2 (b) -2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b - 4 = 0. Let a = 927 + -934. Let j(l) = 3*l + 5. Let v(m) = -6*m - 9. What is a*j(x) + b*v(x)?\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 203.\nAnswer: 8\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1074 times -7082\nAnswer: -760.6068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -815\/7. Let i = -6 - -5.6. Let b = 2 - 2.2. Sort u, b, i in descending order.\nAnswer: b, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23593 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5 - 57*n**4 - 580*n**3 - 210*n**2 + 2378*n - 1533 = 0.\nAnswer: -7, -3, 1, 73\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 25*h**2 - 4*h + 3. Let p(j) = -2*j**2 + j - 1. Calculate i(l) + 4*p(l).\nAnswer: 17*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21680 - 1018. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 359*k + 308*k + 1 - 660*k + 32*k**2 in the form t + p*k**2 + z*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*9\/(-24))\/(150\/(-20)). Sort 0.3, y, 5 in decreasing order.\nAnswer: 5, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2890419, -5780838, -8671257?\nAnswer: -11561676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) 2\/3 (b) 4 (c) 1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, -1 in increasing order.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555*b**2 - 101*b?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 11587897?\nAnswer: 11587897.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 1. Suppose 5*x - 7 = 4*x + 2*a, 5*a = -x. Let n(c) = 4*c**2 - 5*c - 2. Let h(q) = x*g(q) - n(q). Differentiate h(d) with respect to d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 83. Differentiate u*h + 10 - 6 + 31 + 53*h with respect to h.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 305, 836, 1871, 3578, 6125, 9680?\nAnswer: 14411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9481*o = -9471*o - 100 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 10)*(0 + 0 + 2)*(0*t**2 - 5*t**2 + 2*t**2 + (-t - t + 0*t)*(1 - 1 - 2*t) - 206*t**2 - 507*t + 507*t).\nAnswer: -2870*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:59 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 31 = -5*o, 359*d - 358*d + 2*o - 13 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -33*s + 473. Calculate j(27).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 6*d + 9. Let h be q(7). Suppose o + 75 = h*o + 4*w, -5*o + w + 396 = 0. Suppose 3*z = 29 + o. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 41 = 3*l, -4*l + w - 6*w = 65. Let u be 8\/6*-3 - l. What is the greatest common factor of u and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 42, -4, -5 in descending order.\nAnswer: 42, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 4*b + 4*b + (-198 - 147*b**2 + 198)*(3*b - 7 + 7).\nAnswer: -438*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 + 11 = 0. Let a be (3\/9)\/(2\/18). Suppose 4*h + y + 12 = 2*y, 0 = 3*h - a*y + 9. Put h, 2, l in ascending order.\nAnswer: l, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-75)*10\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 = -a, 3*a - 90 = -3*z. What is the greatest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 3042?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (sqrt(432) + (sqrt(432) - (2*sqrt(432) + sqrt(432))))*-5 + sqrt(432))\/(((sqrt(72) + -2*sqrt(72) + sqrt(72) - sqrt(72))*-4)\/sqrt(8)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132466 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 3*t - 1. Suppose -d = p - 0*d - 224, -5*d - 476 = -2*p. Let s = p + -225. Give r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19674 + -17261. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216375082 to the power of 1\/2, to the nearest integer?\nAnswer: 14710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3 + 67874*b**2 - 1222096*b - 2715680 = 0?\nAnswer: -67892, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -19*i**3 - 3*i**2 + 10*i - 3. Let g be r(2). Let u = -138 - g. Is u at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6383 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 4134, -5 in descending order.\nAnswer: 4134, 83, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Let k = -9 + w. Which is the second biggest value? (a) -0.5 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 8246?\nAnswer: 41230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:00 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.05 * -9.\nAnswer: 18.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from cddccdccddcccpcddccc?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 343 + -343.1. What is the nearest to h in -2, -0.2, 61?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5835821, -11671639, -17507455, -23343269, -29179081, -35014891?\nAnswer: -40850699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 4. Suppose 4*l = -l. Suppose n + l*n + 9 = 0. Let j be d(n). Solve -4*f - 2 = -t + 7, j*t = -3*f - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(8\/168). Let d = 0.0507 - 0.5507. Which is the closest to -1? (a) 0.3 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3394795, -3394741, -3394689, -3394639, -3394591, -3394545?\n\"Answer: -n**2 + 57*n - 3394851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2 + m - 4. Let p(t) be the third derivative of t**5\/6 - t**3\/2 + t**2. Let s(y) = -2*f(y) + 3*p(y). Is s(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708633?\nAnswer: 3, 78737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4613)\/2636)\/((-2)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779640.\nAnswer: 2, 5, 44491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 914 and 37.965.\nAnswer: 34700.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31309 - 152498 = -94*g + 3699*g + 1108*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h - 3 = 82*h + 3*t, 35 = 5*h - 3*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -8, 2, 28, 76?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + sqrt(252) + sqrt(252))**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v + 12 + 33 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 = -23. Solve 2 = 2*c, -m*u + c - 1 = -0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45318 + -23662. Let r = 34498 - o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1511, -1502, -1487, -1466, -1439?\n\"Answer: 3*p**2 - 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -977053 + 204?\nAnswer: -976849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316199 or 312297?\nAnswer: 312297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let b(c) = -25*c**2 + 3*c. Let m(t) = -26*t**2 + 4*t. Let x(h) = -4*b(h) + 3*m(h). Determine x(u(o)).\nAnswer: 22*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + z**2 + 1 + (4 - 4 - 2*z)*(4 - 2*z - 4) + (132*z**2 + 66*z**2 + 47*z**2)*(4 - 3 + 1) + 2*z**2 + 15 - 15 - 13*z.\nAnswer: 497*z**2 - 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1225, -4893, -11007, -19567, -30573?\nAnswer: -44025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 61. Let l(c) = -c**2 - n*c + 18*c + 61 + 18*c. Let v(x) = -2*x**2. Calculate l(v(y)).\nAnswer: -4*y**4 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15 + 1270*k + 4 - 1269*k. Let g = -17 + 32. Is l(g) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1083*o**2. Let p(b) = 213265*b. Calculate p(h(q)).\nAnswer: 230965995*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 250 or 249?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h - 2*r + 6, 2*h - 16 = 2*r. Let s(x) = -x**2 + 5*x + 1. What is the units digit of s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 14 = -26*d. Solve l = -d*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 + 5 = 0. Suppose a*w + 107 = 6*w + 3*f, f = 1. Find the second derivative of 7*n + 2*n**4 + 26*n**3 - w*n**3 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*p**2 + 89*p**2 - 59*p**2.\nAnswer: 176*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111001110 (base 2) in base 7?\nAnswer: -5553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/12 - v**3\/6 - 207*v. Determine n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 70220906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7074 - a970?\nAnswer: -16a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.5, 0.1, 11.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-70))\/((-18)\/28)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a kilogram in grams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/6 - k. Let t(s) = -2*s + 2*s - s**2 - 2*s**2. Give t(m(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 28. Find the third derivative of 2*t**2 + 50*t**4 - 12 + f*t**2 - t**2 - 5*t**2 wrt t.\nAnswer: 1200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/7 (c) 9 (d) 1\/10 (e) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 117797140 divided by -58898570\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 3)*(53*w + 3*w + 10*w) + w - 4 + 4.\nAnswer: -461*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1712, -1714, -1718, -1724?\n\"Answer: -i**2 + i - 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/(-60) - (-1 - (-7)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -4*j + 2*p, -4*j + 3*p + p + 288 = 0. What is the remainder when j is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 1) + 13 + -20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n**3 - 14 + 18*n + 33*n**3 - 2*n**2 - 18 + 64*n**3. What is the tens digit of a(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-18) - (-8009)\/6. Suppose -5*u = 5*w - s, 3*u = -4*w + 545 + 251. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 20, -4*s + 2*y - 10 = 0. Suppose -581 = 2*i + 2*g + 875, 4*g + 16 = s. Is 1\/(3 + i\/242) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 177861 = 178167 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 1. Let j(m) = -2*m - 1. Calculate -4*j(d) - 3*p(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -241437.\nAnswer: -72431.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 54 (b) -3 (c) -1\/38 (d) 1.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1728) - (sqrt(1728)*-2 + sqrt(1728)))\/sqrt(9) + (sqrt(3) - 3*sqrt(300)) + sqrt(33)\/(sqrt(99) - sqrt(11)).\nAnswer: -25*sqrt(3)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -256?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/108 and 35\/300*37 - 5.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + 0.1. Let g = 0.02 - l. Let h = 0.02 + g. Put 3\/2, h, -2\/5 in descending order.\nAnswer: 3\/2, h, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 13. Let p be r(-23). Let n be (1 + (-1 - 0))*p\/30. Solve 5*w = -4*i - 16, 4*i + 4 = -2*w - n*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -475 (b) -0.07 (c) -48 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z**2 + 11*z - 46. Let w be q(8). Let s = -274 - w. Round s to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/834 and -21\/1390.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4446, 9038, 13630, 18222?\n\"Answer: 4592*s - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/6*522\/174*-14\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 + 85 + 0*m**3 + 2*m**3 + 2*m**2 as r*m**2 + p + f*m + x*m**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 3*h**2 + 4*h + 3. Let v be z(-4). Let r be 5 + (2 - 3\/v). Suppose 30 = r*q - 3*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:01 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 12*j**2 - 22*j - 8. Let w be y(-10). Solve -l - w = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9119 = -5*v + 107598, 2*w + 2*v = 58356. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(1\/3)\/z*z)*z))**(-2\/13)\/(z*z**(-8)*z*z*z\/(z\/z**(-8\/7))*z*z))\/(z**(1\/5)\/z*z*z*z\/z**(-3\/2))**(-35) assuming z is positive.\nAnswer: z**(73025\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*l - 107*l + 56*l - 168 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, -2\/9, 641, 2109, 1\/3 in descending order.\nAnswer: 2109, 641, 1\/3, -1\/6, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 128\/40 - 8\/(-10). Suppose m*d - 3*d = 3. Solve -d - 7 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 257c0 + -a76?\nAnswer: 24a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16*0\/175.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 355\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269951.\nAnswer: 11, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -150. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -147*d**3 - 14*d**2 - 3*d + 4. Let i be z(-11). Round i to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0, -5, -1447 in ascending order.\nAnswer: -1447, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399\/8 + -50. Let h = -13339 + 13339.5. What is the biggest value in -5, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227379249 - -592189\nAnswer: 227971438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t**(-2\/11)*t)\/t)\/t*t)\/t)**(-3\/8)\/((t*t\/(t*((t*t**(-5)*t*t)\/t)\/t))\/(t\/t**(-8))) assuming t is positive.\nAnswer: t**(179\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332 (base 4) in base 16?\nAnswer: fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 + s. Let r(y) = 11*y**3 + 2*y**2 - 2*y + 5. Let z = 15 + -13. Let m(d) = z*t(d) + r(d). What is the derivative of m(i) wrt i?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55202 at least -607224\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 23 = -71. Let d(r) = 12*r**3 - r**2 + 1. Let n be d(1). Calculate the highest common factor of i and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -87*w**2 - 5*w + 19. Give k(2).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1556919\/64 + -24328. What is the common denominator of y and (-1815)\/(-36)*(-1)\/(-5)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 16\/24439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let z = -1.73 + 1.93. Which is the closest to 1\/2? (a) -2 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and -1121.8106?\nAnswer: 1135.8106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) -1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 13. Let o(s) = -s + 1. Let p be o(-7). Let f be z(p). Calculate the highest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -48\/28026167 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3190 (base 16) to base 9.\nAnswer: 18357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234700 is divided by 234.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.9 - 19.932. What is p rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120)*-2 - sqrt(120))*6) + sqrt(120))\/(sqrt(6)*2*-2 + sqrt(6) + sqrt(6) - (sqrt(6) - (sqrt(108)\/sqrt(2))\/sqrt(9) - sqrt(6))).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 1. Let z(p) = -4*p**2 - 4. Let c = -93 - -94. Let v(f) = c*z(f) - 3*i(f). Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s - 66. Let g(i) = i + 1. Calculate -4*g(p) + n(p).\nAnswer: 4*p - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54810646 to the power of 1\/2, to the nearest integer?\nAnswer: 7403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or -0.1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.97 - 0.03. Let l = -4.7 - k. Let w = 4 + 1. Sort l, -0.2, w in increasing order.\nAnswer: -0.2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13330 - -2?\nAnswer: -13325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-4 - 3) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 270*k**2 - 549*k + 276 = 0. What is k?\nAnswer: -92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16326829 or -16326828?\nAnswer: -16326829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1900?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9387 - 9354. What is the remainder when 58 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 7. Let o be r(5). Is o != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 9) to base 7.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 0*z**5 + 4*z**5 - 5*z**5 + (-z**5 + z**5 - 2*z**5)*(5 + 3 + 2).\nAnswer: -21*z**5 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 66.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11865792 by 48.\nAnswer: 247204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:47 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h + 1424. Let b = -241 + h. Suppose -5*n + 0*n + b = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let k(t) = 81*t + 21. Let u be 65\/26*(-4)\/5. Let y(m) = 8*m + 2. Let i(g) = u*k(g) + 21*y(g). Give i(s(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -3, 1, 4, 17, 3 in increasing order.\nAnswer: -28, -3, 1, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(33)\/(sqrt(33)\/sqrt(3)))*6 - sqrt(27)\/(sqrt(27)\/sqrt(3))*-2 - (0 + -2 + 1*(1 + sqrt(243) - sqrt(243))))**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 9*x**2 - 5*x - 3. Calculate the remainder when b(8) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3351 - 6369. What is v rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(-1 + sqrt(2)).\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*c - 9 = 0, 4*c + 45 = -5*t + 177. Let i(n) = n**3 + 0*n + 1 - 5 + 9*n**2 - n. Let b be i(-9). Solve -k = 4*p + t, -k + 4*k + 37 = -b*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59 or 58?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -0.1. Suppose 34198*m + 1089 = 34319*m. Put c, -3, m in decreasing order.\nAnswer: m, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208500432 and 22890?\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 40*d**2 + 1045*d + 143. What is b(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + q**2 + 3*q + 5. Suppose 0 = -3*d - 3*y - 12, -3*d + 4*y + 0*y = -16. Calculate the least common multiple of 99\/21 + 4\/14 and j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**5\/70 + c**4\/21 - 41*c**3\/21 - 6*c**2 - 1551*c. Factor h(m).\nAnswer: 2*(m - 6)*(m + 1)*(m + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 0.4 (b) -4 (c) -0.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(3\/(-6) - -1). Suppose n = -a + 28 + 10. Let b = -17 + 30. What is the remainder when a is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (-7 + 3) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:14 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443 - -451. Let t be ((-62)\/8 + g)*-12. Let a(r) = 6*r. What is a(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3831 = -3*o, 0*g - g + 4*o + 3831 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8197.58 tonnes?\nAnswer: 8197580000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671368 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 2366328*i**2 + 466637515047*i + 4666138520670.\nAnswer: 3*(i + 10)*(i + 394383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-26)*((-15)\/12 + (-51)\/68)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1 - 9*z**3 - 2*z + 5 + 4*z**2 + 10*z**3. Let t(r) = r**2 - 5. Let o be t(0). Let v be m(o). Do v and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1351\/4098 + -143372234\/14343. Let i = q + 10003. Find the common denominator of i and (27\/7)\/(4\/6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 + -133. Calculate the remainder when 91 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90 and 3.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) 7\/6 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gllpllllpbpypplllbyl. Give prob of picking 1 l and 2 y.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -284*u - 315 - 122*u - 79*u + 126*u wrt u.\nAnswer: -359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -0*t - 230. Let o = 46 + -42. What is the third derivative of -t*b**2 - 16*b**o + 16*b**4 - 5*b**5 + 5*b**2 wrt b?\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 3*g - 2*g. Let n(a) be the third derivative of 8*a**5\/15 + 1819*a**2. Give n(z(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 10 + 19*a**2 - 3.\nAnswer: 19*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + (sqrt(32) - sqrt(8)) + (sqrt(22)\/(sqrt(55)\/sqrt(5)))**2.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 6 + 8 + 16*q + 6*q - 4. Let n be w(-7). Let k = 35 - n. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -4252033?\nAnswer: -4252044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7368 divided by 1842\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -228 - 1667875?\nAnswer: -1668214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - l + 5, 0 = -z + 5*l + 7 + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(300)*3) - sqrt(84)\/(-5*sqrt(72)\/sqrt(6)))**2.\nAnswer: 112\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:06 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 34) + -267 + 313 + 43?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y + 10 - 10 - 6*y to the form s*y + x and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14*(104\/((-312)\/12))\/((-7)\/4)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y + 0*y - 69 - 181 + 0.\nAnswer: 11*y - 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + a - 1. Let x(g) = g**3 + 6*g**2 + 6*g + 9. Let r be x(-5). Let h(u) = -8*u**2 - u + 5. What is r*k(w) + h(w)?\nAnswer: -4*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {b: 5, d: 1, l: 4, e: 6}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17336760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 9*h**5 - h**4\/4 - 24*h**3 + 66. Find the third derivative of l(c) wrt c.\nAnswer: 1080*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 32. Let w = d + 23. Suppose w*v - 6 = -2*v. Solve -v*k + 21 - 6 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/2*(-3)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 + (48\/(-6) - 8). Are -34\/77 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*z - 188*z - 2167 = 0. Let d = 258 + z. Calculate the remainder when d is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -26*i**3. Let l(b) = -27*b**3. Determine 6*l(x) - 7*v(x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8415144 take away 0.13?\nAnswer: -2.9715144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 676 times -0.4\nAnswer: -270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 v when four letters picked without replacement from {t: 9, y: 1, i: 6, v: 3}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 229803083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 29. Calculate q(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 14 = -65. What is the highest common divisor of 57 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**1*w\/w**(-2))\/(w**(4\/3)*w**6) assuming w is positive.\nAnswer: w**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 516, 1775, 4224, 8259, 14276, 22671?\nAnswer: 33840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**5 - 2*i**4*x + 11671*i**2 + 2*i*x - 19588*i - 47*x wrt i?\nAnswer: -80*i**3 - 24*i**2*x + 23342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 10*j**2 - 5*j - 44. Calculate r(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))*3)**2 - (sqrt(325)*-1 - sqrt(13))**2.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let i(c) = 7*c - 414*c**2 + 26*c**2 - 7*c. Give a(i(j)).\nAnswer: -776*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1261 = 4*k + 535. Let r = 457 + k. Solve 7*j - 5*j - r = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)*l*l*l**6*l**(-1\/5)\/(l*l**(-7)))\/(l**(-2)\/l**(-1\/10)*(l**(-1))**(-3)) assuming l is positive.\nAnswer: l**(909\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51196 is divided by 256.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/3198096 and 11\/48.\nAnswer: 3198096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 - p**2 + 0*p**2)*(-7716385 + 7716385 + 3770*p) - 2*p**3 - p**2 + p**2 to k*p**2 + i + z*p**3 + l*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 850, 1274, 1698, 2122?\nAnswer: 2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/5 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37261.5 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -788 - -785.14. Let d = -2.76 - u. Which is the closest to d? (a) 20 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2574407.4 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (-6*3*sqrt(405) + -3)**2 + 2)*6.\nAnswer: -3149616 - 23328*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 6, d: 3, f: 2}. Give prob of picking 2 m and 1 x.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/14976 and -7\/22464.\nAnswer: 44928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 5*k**2 + 13*k**2 + 0 - k + 2*k**3 + 2 to z*k**3 + w*k**2 + q*k + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 136*i + 3392. Does 100 divide t(78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5 - 11730*t**4 + 11667*t**3 + 234540*t**2 = 0?\nAnswer: -4, 0, 5, 3909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51834989?\nAnswer: 17, 911, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22408462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65745, 132322, 198899, 265476, 332053, 398630?\n\"Answer: 66577*o - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y**(-2\/7))\/((y**15*y)\/(y*y\/(y\/y**9)*y*y)))**14 assuming y is positive.\nAnswer: y**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 1. Let f = 901 - 902. Give g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -9. Let i = 0.90955 - -0.09045. Let r(o) = -o**2 - 7*o + 11. Let m be r(-9). What is the biggest value in m, x, i, 4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 5. Suppose 20 = -4*v + 4. Let w(h) = 6*h - 11. What is v*w(m) + 9*r(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2, 2*n = -3*n + 4*w + 219. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.79850352 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 4 + 1 + c)*(-3*c**2 + 3*c**2 + 2*c**2).\nAnswer: 2*c**3 - 56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*u + 2928 = 304*u + 257*u for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:10 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12608 and 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 52*r**2 + r + 1. Suppose -4*q + 3*z = -2*q + 11, -2*q - z = -1. Let p be b(q). Let t = -36 + p. Is 16 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h. Suppose 0 = -a + 2 - h. Suppose -u + 8 = a. Solve 0 = 5*q - 2*q - u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35150121145 - 5?\nAnswer: -35150121154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 > -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*a - 4321, 24*a = -2*u + 21*a - 1735. Let x = 879 + u. Calculate the lowest common multiple of 42 and x.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Suppose -5 = 5*k + 5*t, 5*k = 3*t + 4 - 9. Which is the third smallest value? (a) 3 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673 = 90*o + 214*o - 4017 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -22487 (b) 1\/2 (c) 2 (d) -2\/5 (e) 0.4 (f) -1 (g) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595404 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**5 + 4*c**4 + 488*c**3 - 2704*c**2 + 5152*c - 3328 = 0?\nAnswer: -13, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 39*m - 5*v - 461 = 0, 5*m - 2*v - 1163 = 0. Calculate the remainder when 239 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 7*t = -28645. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((3 + -7)\/4). What is the units digit of 13 - (l - (-1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-26)*(-676)\/(-91))\/(2\/(-21))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 88, 15, 17, 5 in ascending order.\nAnswer: -7, -1, 5, 15, 17, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6333.831mm?\nAnswer: 633.3831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 5*h + 69 = -2*l, -58*h = 4*l - 60*h + 34 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.14, 2, -15, -0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 5. Suppose -a = -4*k + 3*z, -5*z + 12 = -2*z. Calculate the lowest common multiple of 9 + 1 - (32\/4)\/(-4) and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 + 2. Let n = -60829 - -60857. What is the remainder when n is divided by j(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -24 + -1 + -1. Let t = p + 34. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 391 + -396. Let n = 0.36 - 14.36. Let g = 14.1 + n. Which is the nearest to p? (a) g (b) -2 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64110 + 3718469\/58. What is the common denominator of 77\/40 and j?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose 5*n - n = -3*t, -l*t - 20 = -4*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239660156.\nAnswer: 2, 43, 1393373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = 0, -5*g + 2*g = -4*q - 139. Let v = q + 32. Is v\/1 - (-8)\/2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/927 and 2\/103.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.53 - -6.6. Let z = 2.07 - o. Which is the closest to z? (a) -0.3 (b) -1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3890, 7778, 11654, 15512, 19346, 23150, 26918, 30644?\n\"Answer: -u**3 + 3895*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 - (21 + -30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j. Let b(l) = 58*l - 17. Let y(w) = -8*w + 2. Let k(i) = -b(i) - 8*y(i). Give -2*k(o) + 3*n(o).\nAnswer: 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + j + 4*q - 5 = 0, 5 = j + 2*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2380 - 3823. Let c be u\/(-21) - (-12)\/42. Let z = c + -69. Solve 0 = -k - z + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 110*t**2 - 125*t + 230.\nAnswer: 5*(t - 23)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 88, -2, 0.3 in descending order.\nAnswer: 88, 5, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + o**2 - 2*o**3 + o**3 - 38*o**4 - 2 to s*o**3 + q + y*o + j*o**2 + m*o**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 23*o**2 + 4*o + 28959. What is the ten thousands digit of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 2:20 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -c, -3*c - c - 24 = -2*z. Suppose -2*f - 2*v - z = -4, 10 = -2*f - 4*v. Calculate the remainder when 10 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2. Let w(f) = -8*f + 526 + 491 + 9*f. Give x(w(o)).\nAnswer: 4*o**2 + 8136*o + 4137156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -5 (c) 4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311\/9641*(1331 - -2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Let f = 1 + m. Let v = 0 + -0.1. Which is the closest to v? (a) -4 (b) f (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 25 + 23 = 0. Suppose 6*w - f = 2*w. Suppose 2*h - w*h = -5. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/120 - 2*b**5\/15 + b**4\/24 - 5*b**3\/3 + 16*b**2. Let s be u(8). Let j(p) = -4*p + 2. Determine j(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -419781.5 to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-6\/7)\/w)*w)**(3\/7) assuming w is positive.\nAnswer: w**(81\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -136, -304, -540, -838?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/7 - 538452*l**3\/7 - 2769552*l**2 - 232652736*l\/7 - 930631680\/7 = 0. Calculate l.\nAnswer: -12, 179520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62703468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Suppose 0 = f + n + 6494 + 13662, 2*f = j*n - 40300. Is (-2)\/(-6)*1\/(-2)*f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a9 - -128?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3900000 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + sqrt(2448) + sqrt(2448) + 0 + -2 - (-1 + (sqrt(2448) - sqrt(2448)*-2) + sqrt(2448)))*5*4)**2.\nAnswer: 9600*sqrt(17) + 979600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 3. Does 4 divide 95\/o - (-1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3399371 (base 13) to base 12.\nAnswer: 539503b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a. Let v be x(6). Calculate the common denominator of -4\/5 and ((-4)\/v)\/((-18)\/(-1593)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 1. Suppose 2*k + k = -5*j - 14, -k = 2*j + 6. Let w(g) = -11. Let f(u) = -2. Let v(p) = 10*f(p) - 2*w(p). Calculate k*a(x) + v(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 4. Let a be c(1). Let r be ((-1)\/a*-4)\/(3\/27). Solve r = 4*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/52*(-192)\/168?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4632 - -10163. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 0*y**3 - 11*y**3 + 9*y**3.\nAnswer: -2*y**3 + 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/154911015 and -22\/7.\nAnswer: 154911015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - -0.47. Let t be (-8)\/(2\/1) + 30\/8. What is the second biggest value in y, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**3 + 100*z**2 - 94*z + 17. What is a(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c8cd (base 16) to base 5.\nAnswer: -21314402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669 smaller than 47685\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 - (-3 + (3 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b57 (base 13) in base 10?\nAnswer: 12916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 28. Suppose 0 = 4*x + 4*y - 20, -6 - g = -4*x + 3*y. Solve -3*a - 4*j = 16, 0 = -x*j - 7 + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 40898*b**5\/3 - 37466*b**4\/3 - 330544*b**3\/3 + 154416*b**2 + 13536*b + 288 = 0.\nAnswer: -3, -6\/143, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdrr when four letters picked without replacement from {r: 3, g: 4, a: 7, u: 3, d: 1}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1567 divided by 227.\nAnswer: -1567\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) + (sqrt(120)\/sqrt(2))\/sqrt(12) + (3 + sqrt(720))**2) - ((4*sqrt(225))\/sqrt(5) + (-4 + sqrt(315)\/sqrt(7) - sqrt(45)))**2.\nAnswer: -7 + 170*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(2\/24). Let j = 5 - 8. Let g = 0 - -1. Which is the nearest to 0.1? (a) j (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29e - 3?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*u - 230*u = -153*u - 1855 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3565\/138)\/31)\/(2\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-n + n - n)*(2 - 2 + 1 + (1 + 0 - 3)*(-2 + 0 + 1) + 3 - 7 - 9).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1. Let u(n) = n - 4. Let a(z) = u(z) + 3*v(z). Let j be a(3). Suppose -7 = -j*x + 13. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16740 - -2a1?\nAnswer: 16a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let p be l(-2). Let r(n) be the second derivative of -n**5\/20 + 2*n**4\/3 + n**3\/2 + n**2\/2 + 179*n. Let w be r(8). Solve -7*g = -p*g - w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3138304 and 167\/8438976.\nAnswer: 1383992064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 2)\/(13\/26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4144236 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 6. Determine n(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 31700841?\nAnswer: -63401682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 30) + (2 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.866 + -6.174. What is o rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24609 + 0*w - 41*w + 24594 + 2*w in the form n*w + l and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/256 and 115\/1632.\nAnswer: 13056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 547670 and 2410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1011*t + 704 = 1033*t. What is the remainder when t is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.06, -2\/9, 8\/417?\nAnswer: 8\/417","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171079.71 seconds in minutes?\nAnswer: 2851.3285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 3 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2 - 12*m - 8*m - 7*m. Is q(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 2*w - 2. Let j(k) = -k**3 + 5*k + 5. Let t = 4 - -1. Suppose -z - 7 + 9 = 0. Calculate t*h(f) + z*j(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, e: 6}. Give prob of sequence errr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*q + 0*q + 2 = 0, 4*q = 3*l + 4. Let t(v) = -v + 2. Let d be t(l). Solve d*o + 4*g = 6*o - 36, 2*g = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 - (1 - (-4 + 4)). Let k(b) = 7*b + 11*b + 4 - 3*b + 0 - 1. Give k(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 + 0.26. Let x = o - 3.14. Let m = -1046 - -13600\/13. Sort x, -9, m, 0.4 in descending order.\nAnswer: 0.4, m, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 + 113*b**3 - 1.\nAnswer: 113*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4420000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4. Let i be 0 + 2 - (-488)\/90. Let d = 36\/5 - i. Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**38\/(p\/p**(-2\/35)))**31 assuming p is positive.\nAnswer: p**(40083\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26042443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Suppose 2*i + 0*i + 2 = 0, -11 = -4*u + f*i. Solve u*d + 6 = -4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - -0.02. Which is the nearest to -1\/2? (a) 2 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r - 12*r - 41 - r**2 - 12*r - 19*r. Is c(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 465*j**4 + j**2 - 11669 wrt j?\nAnswer: 1860*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 669726863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**3 - 2*m - 17*m + 29*m to h*m + g*m**2 + s + p*m**3 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 105007.346546459+0\nAnswer: 105007.346546459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -476 + 480. Let y = 23 - 23. Solve -u + 5*t + 3 + 3 = y, 2*u + l*t = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k + 9*k + 24*k**2 + 33*k**2. Let a(c) be the first derivative of -c**3\/3 - 154. What is a(v(p))?\nAnswer: -3249*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 85 - 109*z - 41 + 58*z**3 - 36 - 60*z**3 - 92*z as k + y*z**3 + w*z + n*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 + 9*i + 3. Suppose -6*b - 4 + 28 = 0. Let l be k(b). What is the greatest common divisor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -564*z**3 + 50*z**2 - 160707 wrt z?\nAnswer: -1692*z**2 + 100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + f**2 - 6*f**2 - 2*f - f**2 + 2*f + (5 + 1 - 4)*(-5*f**2 + 2*f**2 + 2*f**2))*(-2 - 6*f - f + 4*f).\nAnswer: 15*f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*p = 28, -10*p - 28 = 4*g - 13*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 4*v + 5*v. What is the remainder when v is divided by (-146)\/(-10) + 4\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 31, 0 in descending order.\nAnswer: 31, 7, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227 - 228 - 417*p + 710 - 233 to the form m + q*p and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, 34, -2\/13, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28400 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckr when three letters picked without replacement from rgrrgvskcrrsrvrkgrrr.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*d - 58, 5*n - 105 = d + 7. Let t = n + -18. Solve 3*b - 4*j - 5 = 0, -2*j - j - 2 = -t*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) - 47\/46. Let h(d) = 3*d**2 - 2*d - 105. Let z be h(-6). Suppose 0 = -11*y - z*y + 26. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 7051*f**2 + 7051*f**2 + 2*f**5)*(0 + 2 - 3) - 657*f**5 + 184*f**5 + 84*f**5.\nAnswer: -391*f**5 + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5736.00006532 - 5736. Round d to 6 dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -68. Suppose 4*i - 12 = s. Solve o = 4*j + 8, i*j + 10 = 6*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5. Let z be 55\/15 - w\/3. Suppose -z*u = 1 - 13, u = -4*s + 95. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/10)\/((-52)\/650)*8\/(-112)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5*-13*1. Let y = z - -21\/10. Let s = 24 + -26. What is the nearest to y in s, 2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -884, -877, -856, -815, -748, -649, -512, -331?\n\"Answer: x**3 + x**2 - 3*x - 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 1. Let h be c(-1). Let b be 8\/(-6)*3\/(-6). What is y in h + 2\/3*y + b*y**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*a + 4, -p - 4*p - 4*a - 44 = 0. Let h be (6\/p)\/((-2)\/(-6)). Let u be 20\/16*1\/(-5). Put h, u, 5 in descending order.\nAnswer: 5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 156 = -5*c, -2*c - 4*f + 82 - 10 = 0. Let a = 93 + -56. Let i = c + a. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -235 - -c39?\nAnswer: a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + 170\/15. Let j = -11 + z. Which is the closest to 1? (a) j (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2336 - -18617\/8. Calculate the common denominator of l and 69\/130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a**(-36)\/a)\/a))\/a)\/(a\/(a\/(((a\/((a*(a*a*(a\/(a\/a**(2\/17)*a*a)*a)\/a)\/a*a)\/a))\/a*a)\/a)))*(a*(a\/(a**(-26\/7)*a))\/a)**(-44) assuming a is positive.\nAnswer: a**(-14793\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811?\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47727 (base 10) to base 11.\nAnswer: -32949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 8393\/3*w + 3209*w**2 + 1543\/3*w**3 + 242\/3 + 67\/3*w**4 = 0?\nAnswer: -11, -1, -2\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 2. Let o be l(-3). Suppose 2*r - o - 5 = 0. Suppose -r*v = 5*x - 4*v - 494, -78 = -x - 5*v. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + 103. Suppose -123*z - 864*z + 34511 + 4625 = 236*z. Calculate the remainder when k is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 19 - 49. Suppose -5*a - 5*v - p = 0, -2*a - 5*v - 10 = -3*a. Let u(s) = 899*s - 898*s - 2 - s**2 + 4. Give u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z - 208 = -13*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 48*f**2 - 5376*f + 8. Determine k(112).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by -11\nAnswer: -201\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1815, 5154, 10685, 18384, 28227, 40190?\nAnswer: 54249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s**(1\/15))\/(s**2)**(4\/19) assuming s is positive.\nAnswer: s**(-424\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -27480*n + 6. Calculate i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 116*b**2 + b. Let f(m) = 246*m. Give x(f(n)).\nAnswer: 7019856*n**2 + 246*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1 + -1)\/(-2). Let x be (-1 - 12\/(-9))*36. Suppose 37 = x*u - 11. Sort u, s, 0 in descending order.\nAnswer: u, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erre when four letters picked without replacement from {e: 17, r: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 21654 = 34*b. Is b > 401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 8*h - 200. Is x(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/1)\/1)\/((-780)\/24 + 25).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25956 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(-12)\/15*-10. Let c(d) = -d**3 - 5*d**2 - 6*d + 2. Let r be c(v). Calculate the highest common divisor of r and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551619 at least as big as 551524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 622, 624, 626?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*m + 1111*m + 167*m + 73425 = 0 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2. Let d(o) = o - 3. Let z be d(8). Let j(m) = -z*m + 2*m + 4*m. Give j(b(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*(-9)\/(-16).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 + 23 = 0. Let z be 2\/q + (-66)\/(-14). Let a(y) = 6*y + 3. Let b be a(z). What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -5. Suppose -2*l + w = -8. Suppose -l + 0 = -5*z. What is z rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 - 354*i**4 - 83583*i**3\/5 + 186756*i**2\/5 + 617196*i\/5 + 348624\/5 = 0.\nAnswer: -538, -54, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2 - (4 - -1)). Let j = d + 21. Let x be 4\/j - 6\/21. Solve -5*u = 3*y - y + 2, x = 3*y - 4*u - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*1*3)\/(sqrt(5) + (sqrt(50)\/sqrt(2))\/sqrt(5) + sqrt(5)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 110671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 7\/2*a**4 + 11 + 0*a**3 + 0*a + 2*a**2. What is the second derivative of q(m) wrt m?\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.01702106364 and -0.03?\nAnswer: 5.98702106364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + ((sqrt(5) + 2*sqrt(5) + sqrt(5))*-2 - (2*sqrt(245))**2) + 5.\nAnswer: -976 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1096 - -3505. Does 73 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 24953593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 2458. Let p(f) = -2*f + 1536. Let n(o) = 8*p(o) - 5*z(o). Let u be (-26)\/10 - 2\/5. Calculate n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/11, 5, -2\/5, 2\/19, -8?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21607, 40768, 57481, 71746, 83563?\nAnswer: 92932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 32. Calculate the remainder when 25 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(2\/(-4)*1))\/17\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 5*k. Suppose 0 = -2*y - k - 3. Is 6 a factor of y\/5 - (-784)\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 296484, 296033, 295572, 295095, 294596, 294069?\n\"Answer: -v**3 + v**2 - 447*v + 296931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.635 + -20.56845. What is d rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41566158, -83132316, -124698474, -166264632?\n\"Answer: -41566158*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-7)\/2). Let q = 1065.2 + -1068.2. Which is the closest to -2\/5? (a) q (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -23.3. Let x = p - -25. Let f = x + -1.2. Which is greater: f or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 + -7678?\nAnswer: -7875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*6)\/(21\/14). Suppose -1 = w*d + 2*y + 19, 3*d = -y - 15. Let k = 5 + d. Solve 4*n + 0 + 3 = 3*i, k = 3*i - 5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19630 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: Let q = -26 - -25.5. Which is the second smallest value? (a) q (b) -2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**7\/210 - p**6\/30 + p**5\/60 + p**4\/4 + 19*p**2\/2 - 14. Let o(d) be the second derivative of j(d). Factor o(t).\nAnswer: t*(t - 3)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = -0*x - 3900. What is the tens digit of (1 - (-255)\/2)\/((-50)\/x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -8006 (c) -4 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 24*i - 2. Let k be x(-5). Let t(c) = -6*c**2 + c**2 + 7*c**2 - k*c**2. What is t(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13314*t**2 - 2*t + 13310*t**2 + 2*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**2 - 2. Calculate g(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*s = -10, -5*y = -5*s - 25 + 5. Suppose 0 = -7*i + y*i + 392. Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 4 + 248*t**2 + 580*t**2 + 15 to u + s*t**2 + z*t and give s.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936056?\nAnswer: 2, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 6 + 6 + 3*q**2)*(0 - 3 + 1 - 2 + 2 - 1 + (-1 + 0 + 3)*(1 - 3 + 4) - 1 - 6 + 3 - 5 + 1 + 2).\nAnswer: -15*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 7*v**2 + v + 2. Let r be b(-7). What is the common denominator of r\/(800\/(-339)) - 6\/15 and -109\/10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 488, 650, 818?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3591972 and -6\/58519.\nAnswer: 499284108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -313, -695, -1229, -1915, -2753?\nAnswer: -3743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -97 - 3*p - 8*p - 8*p - 26*p**2 + 13*p + p**3. Is 10 a factor of n(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19195, -4, 2 in ascending order.\nAnswer: -4, -0.19195, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 1431095*g**2 - 1430805*g - 290 = 0.\nAnswer: -58\/286219, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1585 by 3.\nAnswer: 1585\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5005 - -12622. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from iwlkkw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -407, -643, -1039, -1595, -2311, -3187, -4223?\n\"Answer: -80*q**2 + 4*q - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 32 = -9*y. Is 2\/(y\/(-3118))*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 30*i.\nAnswer: 5*i*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 6*b + 10. Sort 9, b, -1 in decreasing order.\nAnswer: 9, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*u - 24, 2*y - 1 - 1 = 5*u. Which is the second smallest value? (a) 35 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**3\/3 - 3*j**2\/2 - j + 1. Let f(i) = -26*i - 99. Let h be f(-4). Is c(h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 97*m**2\/2 + 2*m + 1. Let f be p(2). Suppose 3*y - y = f. Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 1, 0.34, 3\/5, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1371668510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -237*l + 3068. Let i be s(9). Calculate the greatest common divisor of 170 and i.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 71. Let g = -68 - -137. Let u = g + a. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.7, 1\/3, -0.1, 5, -0.3577.\nAnswer: -5.7, -0.3577, -0.1, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -3 (c) 8.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + -2.6. Let b = a - 0.2. Sort 5, -3\/5, b in ascending order.\nAnswer: b, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 2972 - 1245)*(0*l**2 + 3*l**2 - l**2) to the form a*l + t + d*l**2 and give d.\nAnswer: -8410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.7, 4.463, 0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 20581?\nAnswer: 20580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 162\/57)\/4. Let y = -942 + 941. Do s and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406751649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 315041.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -27 - 14) + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/4 + (-121250)\/(-42). Let u = x - 2886. Let v = -13636 + 409243\/30. Calculate the common denominator of u and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 889, 35 in decreasing order.\nAnswer: 889, 35, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (23 + 14 + 5 + -27 + -10 + 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1408.97 times 4\nAnswer: -5635.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uku. Give prob of sequence ku.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.35 and 0.3.\nAnswer: -0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-14)\/(-28)). Let d be 1\/(((-264)\/(-28))\/3 - b). What is the second derivative of -12*z + 12*z**5 + d*z**5 + z**5 wrt z?\nAnswer: 400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2141302?\nAnswer: -2141275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 18 = -2*i - 3*i, -4*q = 16. Let m = i + 5. Suppose 4*x - 29 + 5 = 0. Calculate the remainder when m is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6693696, 13387395, 20081096, 26774799, 33468504, 40162211?\n\"Answer: z**2 + 6693696*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.015 and 235?\nAnswer: 235.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 4*v**2 + 473*v**3 - 66*v**3 - 2*v.\nAnswer: 407*v**3 + 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let b(f) be the first derivative of 590*f**2 + 649. Give b(h(x)).\nAnswer: 1180*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4 - 46*h**3 + 206*h**2 wrt h?\nAnswer: -24*h - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - -103. What is the highest common divisor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/26274 and 1\/453.\nAnswer: 26274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9637, 9625, 9613, 9601, 9589, 9577?\n\"Answer: -12*h + 9649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - 0. Suppose 1 = 3*p - u. List the prime factors of (-18)\/27*(-45)\/p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 25*g - 1. Let k = 6 + -2. Let a be v(k). Let l = a + -8. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j - 15. Let m(d) = 2*d - 10. Let w = 28 - -42. Let n = -78 + w. Calculate n*m(r) + 5*i(r).\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 46. Let l be (94\/24)\/(1\/27). Let u = l + -1021\/12. Calculate the common denominator of u and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o - 17. Let j(h) = -2*h - 4. Let y be j(7). Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.149 to zero decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -14. Let o(d) = d**2 - 12*d + 2. Let g be o(j). Suppose 28 = g*i - 0*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/17, 5, -5, 4\/3, 1\/6, 1274?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 1\/30*j**5 + 0*j**2 - 1\/6*j**4 + 32\/3*j**3 + 0*j - 2. Let k(d) be the third derivative of q(d). Determine k(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 20*z - 212. Suppose -u + 5*u = -5*o - 25, 2*u = -2*o - 10. Suppose u*b + 18 = b. What is the remainder when k(14) is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, c: 2, b: 4}. Give prob of sequence bc.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Suppose -p - 1 = -g. Suppose 3*t = -3*r + 810, -r + 4*r - 541 = -p*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyyfffyvfjjjjjfyjf. Give prob of picking 1 f and 2 v.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0)**7)**25)**(-1\/13) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/3 - 2*x. Let f(v) be the second derivative of -v**3\/3 + 6*v. Determine q(f(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2914190 and 15.\nAnswer: -43712850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s + 5*v + 48 = 0, 0 = 3*s - 3*v - 120. Let u = -34 + s. Solve -5*f = -u*p + 5 + 9, 2*p + 2 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6370 and 31\/13720.\nAnswer: 178360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026446 to six decimal places.\nAnswer: -0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/17))**(-3\/22)\/((s*s**(-14)*s)\/(s*s*s\/s**16)) assuming s is positive.\nAnswer: s**(-371\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 - 3*u + 4. Let o be b(4). Let l = 30 + o. Suppose -2*t + l*t - 136 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:02 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -255*r - 5. Let z be i(-4). Suppose 4*d - z = -d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loarr. What is prob of picking 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-120)*-10)\/(3\/(-6))*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1011.3?\nAnswer: -1011.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2269113 - -1339.\nAnswer: 1339.2269113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 49. Is r less than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 - 8*y + 4. Let h be u(5). Let m = h - 10. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*1 - sqrt(8)) + (sqrt(40)*-2)\/sqrt(5))\/(-4*sqrt(16)*5).\nAnswer: -sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*r + 4*r - 18 = 0, 0 = -3*r + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 7*g - 25)*(90 - 38 - 46) to t + b*g and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15410*t - 15321*t = -712 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 8. Let p be a(-13). Suppose 31 = p*i + 1. Calculate the lowest common multiple of i and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*o + 24, -4*h - 17 = -o - 0*h. Let k(i) = -i**3 + 5*i**2 - 6*i - 5. Let r be k(o). Is (-790)\/r + (-8)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4214 = 15*u + 1124. Let z = 208 - u. Solve 4*r - 1 = z*d + 5, -4 = -r + 3*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -5 + 1)*(1 - -10). Suppose -293 - 125 = -a*q. Find the second derivative of -7*d**4 - q*d + 22*d - 28*d wrt d.\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from phphhhph.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -17076041 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 610220.\nAnswer: 12204400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 75*u + 379. Let d be c(-5). Calculate the highest common factor of d and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 10bb3a?\nAnswer: 10bb35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360 - 364. Let l be ((-16)\/(-6))\/i + -3 - -4. Which is the nearest to l? (a) 0.4 (b) -1 (c) 12 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0679646 and 0.777.\nAnswer: 0.8449646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048 - (4\/42 + 2604\/441) is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, t: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -d - 0*x - 48, -22 + 32 = x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - 14. Let g be v\/(-49)*(-21)\/(-6). Find the third derivative of 8*r**2 - g*r**3 + 17 - 17 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3253)\/(-3) - 1)*-5160. Round s to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64 + 186 - 90 - 32 + 183 + 48*p**2 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, 61, 88, 125, 172, 229?\n\"Answer: 5*n**2 + 2*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 + 14*h - 11. Let v be j(6). Let m(y) = -60*y + 24*y + v + 27*y. Give m(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11615139 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-12)\/(-4) + -3). Let s = n - -3. Solve -3 = -5*q + 4*o, q + 2*o + s + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -5\/418847?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609, -1286, -1955, -2616, -3269?\nAnswer: -3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 102 = 737. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 398 (base 13) to base 12\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**6\/120 - c**4\/12 - c**3\/2 - c. Let u(j) be the second derivative of h(j). Find the first derivative of u(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 + 7*o - 3*o**2 + 34819 - 34819 - 2*o**3 as h*o**4 + j + y*o**2 + t*o**3 + l*o and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 1010048641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239 or -253?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let j(c) = -c. Let i(t) = 3*j(t) - 2*p(t). Let g(o) = 3*o. What is i(g(z))?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27845.\nAnswer: 5, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, -177, 2, 1, -3071 in increasing order.\nAnswer: -3071, -177, -5, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4f97 (base 16) to base 14.\nAnswer: -75d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vppn when four letters picked without replacement from {v: 5, p: 2, n: 7, w: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 388*z**2 + 3654*z + 79. Give h(203).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6801*m**3 + 9*m**2 + 119*m - 1.\nAnswer: 40806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16907829949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -17. Is -5 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 134, 275, 452, 659, 890, 1139?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/8 - 13*m**2\/2 - 4. Let o(s) be the second derivative of g(s). Let x(l) = -5*l**2. Determine x(o(y)).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189576.\nAnswer: 2, 3, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015263071398 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w + 11. Determine y(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a)**(-50)\/((a**(-1)*a*a*a)\/a)**(-8\/9)*(a*a**(-3)*a**3)\/(a\/(a*a**2))**(-2\/97) assuming a is positive.\nAnswer: a**(-85687\/873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 divided by 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2196 + 2146. Which is bigger: o or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*i + 7*i, -2*h = -4*i - 4. Let j be (h\/(-6))\/((-5)\/15). Solve -y - 12 = j*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -200.008\nAnswer: 400.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghhhhlhlhhhhh. What is prob of picking 2 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-130045)\/(-62) - (-9)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12 - 2 + 13*c - 21*c + 7*c. Determine k(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -32*y - 5. Let k(g) = g**2 - 8*g + 9. Let u be k(7). Suppose 2*r = 3*d + 16, u*d + r + 4 = -2. Is l(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 216995, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/21912 and 103\/3080.\nAnswer: 766920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6290 and 2178227?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + p. Let t be ((-15)\/12)\/(((-51)\/(-408))\/((-1)\/(-2))). Sort -1, p, 17, t in descending order.\nAnswer: 17, p, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51684 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -54. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:07 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4203 or -71447\/17?\nAnswer: -71447\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j - 3099 + 3462. What is the highest common factor of j and 1441?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*d)*(2 + 4 - 2)*(-2*d**2 + 0*d**2 + 0*d**2 + (2*d + 0*d - 3*d)*(-3*d + 5*d - d)).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 12. Determine r(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/287672112 and -11\/27144.\nAnswer: 287672112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301358*z**3 - 63970*z.\nAnswer: -1808148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44120 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: Let u(p) be the second derivative of -p**4\/12 - p**2\/2 - p. Let q = -116 + 113. Let a(v) = v**3 + 4*v**2 + 4. What is q*a(y) - 12*u(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*o + 64 = 0, 0*t - 3*o = t - 32. Suppose 3*i - t = 7. Suppose -4*w + 77 = -23. Calculate the remainder when w is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3 - 3 - 2*s**2 + 5*s. Let u(l) be the third derivative of l**5\/15 - 3*l**4\/8 + l**3\/6 + 64683*l**2. Determine 3*u(r) + 5*x(r).\nAnswer: 2*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 5. Let u be r(-4). Calculate the greatest common factor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-17*(-84)\/(-85680))\/(2\/6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - 6.8. Let p = -6.152 - -5.952. Which is the closest to p? (a) 4 (b) 2\/5 (c) o (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 832*c + 18926 - 3846 = 845*c. What are the prime factors of c?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-141)\/(-94)*((-5)\/(-3) - -1). Let r = 867 - 872. Put r, u, 5 in increasing order.\nAnswer: r, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 20*h + 2. Let b be f(-20). Suppose 4*x = 8, -x - x - b = 2*t. Let k(d) = -d**3 + d - 1. Let w(a) = -6*a**3 + 3*a - 3. Determine t*k(z) + w(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6.4. Let b be (5 - 238\/51)*(-12)\/26. Let r = 2 + -2. What is the nearest to r in u, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161118 and 72.\nAnswer: 644472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/61134059?\nAnswer: 1\/61134059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggwgwgwwgwg. Give prob of sequence wgg.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/3 + 148*m**4\/3 + 310*m**3\/3 - 152*m**2 = 0. What is m?\nAnswer: -3, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 33380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24, -113, -256, -447, -680, -949, -1248, -1571?\n\"Answer: f**3 - 33*f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/30 - t**2 + 85*t. Let q(w) = -105*w + 2. Determine q(z(b)).\nAnswer: 210*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14*-2.2367\nAnswer: -31.3138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - (9 - 12))*1. Put -274, g, 3, 12 in decreasing order.\nAnswer: 12, 3, g, -274","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - g**3 + g**3)*(-2*g + 0 + 0) + 4*g**3 + 11*g**4 - 6*g**4 - 2*g**3.\nAnswer: g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3628*o**2 + 6118*o - 2 wrt o?\nAnswer: -7256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(a + a + 0*a) + 0 + 0 + 2*a - 3*a + a + 0*a + 3*a + 70 - 71 + 0*a.\nAnswer: 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 5. Calculate v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18)*9\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(304) + 0.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307494432?\nAnswer: 2, 3, 7, 127, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 4243 = -3879. Solve 2*l + n = 2*h - 3, -2*h + 10 = -l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 10 - 10195513*i + 10195519*i - 12.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2810.946 microseconds?\nAnswer: 0.002810946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose 246 = -w*p + 40. Let h = 186 + p. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or 9354?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 22.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 60*l**5 - 8*l**4 - 644*l**3 + 416*l**2 + 1520*l - 1344 = 0.\nAnswer: -3, -28\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15744, -15693, -15642, -15591?\nAnswer: -15540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c**2 - 3*c + 1. Determine y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:23 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 698020 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2343040 - 705004 = 2*t. Let o = -566002 + t. Suppose -5*q - 121984 - o = 0. Round q to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-7) + 5 + 528\/(-112). Let k = -3\/166 - -587\/332. Which is the fourth biggest value? (a) k (b) 4 (c) h (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(-5)\/(-30)*21. Let u = i + -34. Let d be u\/4 - 93\/(-12). Calculate the greatest common divisor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114833, 114836, 114839, 114842?\nAnswer: 114845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/9157 and 3869\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((10 + (7 - 9) - -8) + 0 + -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 4*o**3 - 5*o**3 + 16*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 467731.6l?\nAnswer: 467731600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -0.33. What is the second biggest value in -2, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g*k*n**2 + 28*g*k*n - g*k - g*n**3 + g*n**2 + 2*k*n**3 + 653*n**3 wrt n?\nAnswer: -6*g + 12*k + 3918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 259*c - 119. Let i(j) = -13*j + 6. Let l(y) = 6*h(y) + 119*i(y). Suppose -4*n + 38 = -250. Let w(t) = -n*t + 211*t - 67*t - 74*t. Calculate l(w(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - -49. Suppose -56*u + 54*u + 4*p = -18, -5*u + 59 = 4*p. What is the remainder when s is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**4 + 12*y**3 + 208672*y**2 + 30996671*y?\nAnswer: 48*y**2 + 72*y + 417344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 3. Let j(m) be the second derivative of 3*m + 1\/3*m**v + 0 + 3\/2*m**2. What is the first derivative of j(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08564102875 less than -0.5?\nAnswer: -0.58564102875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*q = 3*z + 12, 0 = -z - 5*q + 12. Suppose 4*t + 2*v = 1 + 3, -5*t = -2*v - 23. What is the remainder when t is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 divided by 2.\nAnswer: -97\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 + 363*z**2\/4 - 11493*z - 11583.\nAnswer: 3*(z - 78)*(z + 1)*(z + 198)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errreraeererer. Give prob of picking 1 a and 1 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/18 + (-700)\/(-252). Solve 0 = 4*t - 3*v + 26, 0 = 4*t - v + s*v + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12\/7, 2\/15, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 19. Let w be q(-17). Suppose -w*b - h + 66 = h, 5*b = -3*h + 159. Calculate the remainder when b is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4575 or -64.68?\nAnswer: -64.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 0.13414.\nAnswer: 4.13414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in 0, 5, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9481 is divided by 130?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -300?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j + 144. Let l be r(-14). Suppose 23 = l*x + 5*o, 0 = -x - x - 2*o + 10. Solve -4*p + 18 = 2*f, -x*p - 11 = -5*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2) - (sqrt(2) + (sqrt(242) - sqrt(242)*-1) + sqrt(242))) + sqrt(2))**2 + sqrt(20)\/(sqrt(40)\/sqrt(4)).\nAnswer: sqrt(2) + 2053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 3*m + 4. Determine x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l - 6. Suppose 4*a = 3*j + 36, j + 23 = 2*a + 3*a. Let k be j\/36 - (-56)\/9. Let w(d) = 6*d - 5. Give k*w(m) - 5*u(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53ac (base 13) in base 6?\nAnswer: 125510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + -2 + -1)\/((-4)\/114) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -271422*m - 11065. Is b(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -109 + ((1 - 2) + 4 - -12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 7*t**2 + 3*t - 23. Let o be i(6). Let j(r) = 217799*r - 241. Let n be j(o). What is n rounded to the nearest 100000?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -32004*p - 16. Let y be k(-4). Round y to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 5\/2, -0.11.\nAnswer: -4\/5, -0.11, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-54) - -4333*3\/(-567).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:17 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68134 divided by 138.\nAnswer: -34067\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 3, 1867, -5, 2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 43 = -j, 3*w - 219 = 5*j - 0*w. Does 47 divide (3\/(3\/(-128)))\/(j - -44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768858 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 471786.\nAnswer: 2358930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21\/4 (b) -0.5 (c) -13 (d) -10 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 19 + 758*l + 760*l - 2275*l + 752*l.\nAnswer: -5*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (381888\/(-1008))\/(-221)*(-112)\/(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 110859.4g?\nAnswer: 110859400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 56*m**3 + m**2 + 2*m + 1. What is n(-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*11 + (0 - 2). Let q = 21 - i. What is the remainder when 7 is divided by 46\/10 + (-4)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (2\/(-3) + (-1564)\/(-276))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-10)\/15*(-63)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/24*-1*7*2\/21.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/12)\/(10\/(-945)). Let r = 8861\/112 + m. What is the common denominator of 107\/40 and r?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111100101 (base 2) in base 13?\nAnswer: -5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + -5 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*q - 38 + 3, -3*q = -4*u - 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + (-1)\/6*4. Suppose 2*i = -f + 103, x = -4*f - f + 15. Suppose -i = -v + 166. Does 36 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65834, -131670, -197508, -263348, -329190, -395034?\n\"Answer: -b**2 - 65833*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-3 - -5 - 4) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29745 + 4579*p + 4572*p - 9152*p to the form z + l*p and give z.\nAnswer: 29745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.3. Let w = 2196 + -2192. Sort k, w, 18 in descending order.\nAnswer: 18, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 + 2*r + 7. Let z = 36 - 48. Let c(j) = -3*j + 1. Let a be c(z). Suppose 0*p + a = 5*p + 4*q, 3*p = 5*q. Calculate d(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 161.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 371765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 o when four letters picked without replacement from owwwwywywwwwywww?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*h = 22, -2*b - h = -2*h - 22. What is the greatest common factor of b and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1738, -1858, -2172, -2776, -3766, -5238, -7288, -10012?\nAnswer: -13506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.95 - -0.9499926. What is s rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16)*(-3)\/27*-20?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/16149568 and 71\/1503.\nAnswer: 145346112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -177. What is the third derivative of -11*c**6 + 18*c**n - 19*c**2 - 4*c**2 - 16*c + 15*c wrt c?\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = w - 64, 0 = -5*i + 6*w - 474 + 314 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 202211112222200?\nAnswer: -202211112222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c = 16*c + 13700. Suppose c - 770 = -3*x. Solve -62 = -4*v - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 1 = -k, 3*k + 71 = -x + 63 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 8*l = 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1716\/57 - 740\/10545*6\/4\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 965698124 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.83? (a) 3 (b) 227 (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33143650.\nAnswer: 2, 5, 31, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -425.39, 0.1, 3?\nAnswer: -425.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**6\/30 - 7*w**5\/15 + 4*w**4\/3 + 32*w**3\/3 - 100*w**2. Factor z(v).\nAnswer: 4*(v - 4)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*k = -2*l - 36, -6*l + 8 = 4*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320 (base 7) in base 15?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 + 3 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.8 + -0.8. Let u = -400\/893 + 26\/47. Put k, u, 2\/9 in increasing order.\nAnswer: u, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017786 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 15. Let h be t(-15). Suppose b = 5*f + 94, -5*b = -h*f - 3*f - 382. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 191003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/7 - 758*m**2\/7 + 71440*m\/7 + 72200\/7 = 0.\nAnswer: -1, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i + z, -4*i = 4*z - 13 - 15. Let r be 76\/(-110) + (-8)\/(-88). What is the biggest value in i, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33768 is divided by 1054.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 7. Let b = 1.26 - 0.96. Sort c, b, 5.\nAnswer: c, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473643?\nAnswer: 3, 52627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3450*f**2 + 3115*f - 1230.\nAnswer: 5*(5*f + 6)*(138*f - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 9*w**2 + 12*w + 14. Let b be t(10). What is the tens digit of (3 + 5\/(-2))*b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87312179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/3 and -93413 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -521\/2 - -261. Factor -1 + 3\/2*f - g*f**2.\nAnswer: -(f - 2)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 0 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77*586\/(-338415)*(-2)\/(-4)*-21.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -d - 17, -4*r - d + 70 = 0. Suppose 5*a + r = 12. Let z(o) = 1 + 17*o**2 - 63*o**2 + 16*o**2 + 23*o**2 + 2*o. Calculate z(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s - 7. Calculate f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 35 = 2*h. Let c = 9 - h. Find the second derivative of -c*a + 3*a + 0*a + a - 4*a**2 wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:48 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-18) + 33\/(5544\/(-416)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -189.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2272 = t + 7*t. List the prime factors of t.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 + -172. Let n be (0 + (4 - 4))\/y. Solve -2*b - 5*h - 19 = -2*h, -2*b + 5*h + 21 = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.45794 in 2\/9, -1, -0.3, 2\/11, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*m - 3*t, 3*m - 2*m + 22 = 5*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 30. Let v be f(-7). Find the third derivative of -14*y**2 + 3*y**2 - 3*y**v - 6*y**5 wrt y.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687377039?\nAnswer: 4241, 162079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 278 = -4*s. Suppose -12*l = -142 - s. Calculate the remainder when 138 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 7*k**2 - 5*k - 2. Let g be w(6). Differentiate -3 + 6 - 4 + g*j**3 - j**3 wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.005 + 0.005. Put -1\/12, 1\/3, j in ascending order.\nAnswer: -1\/12, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 140355139?\nAnswer: 982485973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 14. Let r be k\/(0 + (3 - (-9572)\/(-3190))). Suppose -3*j = 2*j - r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + c - 13. Let t be o(0). Let y = t - -17. Let q be -40*-3*(-70)\/y. Round q to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 19 = 5*c, -6667*c - 13 = -6664*c + 6*x - 5*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i + 4. Let t be y(0). Suppose 0*j + 12 = t*j. Suppose -j*k = -0*k. Solve 0 = -k*s - 2*s - n - 6, 0 = -3*n - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1168*m**2 + 4643*m + 565*m**2 + 601*m**2 as h*m**2 + a + p*m and give p.\nAnswer: 4643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -24*f + 7. Let n(u) = -30*u + 24. Calculate -3*n(g) + 10*o(g).\nAnswer: -150*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 5. Let b be 2 - (-2)\/(k\/9). Solve 4*y - 2 = b*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 28 = -p - 0*p, -2*p - 304 = -16*w. What is the highest common factor of w and 3249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 12 = 2*b, 5*b - 72*t - 8 = -167 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 433135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.32 + -0.32. Let n = j + -15.2. What is n rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (88\/(-20))\/(1\/5). Let x be y - (2 - -1 - 6). Let c = 42 + x. What is the remainder when 68 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1922 + 3287. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 134 - 4. Let s = i - 65. Suppose -5*q = s*l - 266, q - l - 55 = -0*q. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 - r**2 + 3*r**2)*(3*r - 5*r + 4*r) - 13*r**3 + 17*r**3 - 25*r**3 + 2*r**3 - 1 + 1 to the form l + q*r**2 + s*r**3 + c*r and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 4:54 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 14*f + 5. Let i be m(-7). Let b = 70 + i. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 1:06 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -2 - (-109 + 204).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-21)\/112)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (22 - 3) - (-9 - -13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 + 9*v**3 - 290*v**2 + 207*v + 70 = 0. What is v?\nAnswer: -10, -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 4*y + 16*y)*(2 + 3 - 59).\nAnswer: -1134*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(1 - d - 1)*(493 - 994 - 3*d + 486) + 2*d**2 + 2*d**2 - 5*d**2.\nAnswer: -4*d**2 - 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/9 (b) -2\/3 (c) -0.019 (d) -29 (e) 2\/3 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861*m - 98 = 847*m. Solve 4*a - 3*a - 2*v + 3 = 0, -a = 3*v - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 27 (c) -0.4 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11072 divided by -1045\nAnswer: 11072\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -538\/5 + 108. Let s = -62 - -61.7. What is the third smallest value in 1\/6, 3, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 113376 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9296720.\nAnswer: 2, 5, 79, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 10*v**2 + 9*v + 6. Determine z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92405460 divided by 30801820.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/11 (b) -2 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7205, -7225, -7245?\n\"Answer: -20*y - 7185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/3)\/z**5 assuming z is positive.\nAnswer: z**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 10461*c - 52151. Calculate r(5).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490956 is divided by 1752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 100 = 6*z. Let g be 300\/(-9)*24\/z. Let c(o) = -o**3 + 5*o**2 + 8*o - 7. Let a be c(6). Calculate the greatest common factor of a and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.6 - 3.6. Sort -3, -2\/11, d, 0.1 in ascending order.\nAnswer: -3, -2\/11, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/((-67)\/66 + 1). Let p be (-1)\/(7\/22 - 16\/z). Let y(i) = -156*i**3 + 7*i**2 + 11*i + 1. Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 197346*a**2. Let o(y) = 2107*y. Calculate o(p(t)).\nAnswer: 415808022*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -219. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3800 - -3803. Factor 1\/5 + 1\/5*v**4 - 1\/5*v + 2\/5*v**d - 2\/5*v**2 - 1\/5*v**5.\nAnswer: -(v - 1)**3*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2149840131 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 633249462*y + 33417073426940787.\nAnswer: 3*(y - 105541577)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/48)\/(6\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -1284641\nAnswer: 6\/1284641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 13*g**2 - 21*g - 21. What is b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 b when four letters picked without replacement from {t: 9, s: 1, b: 3, q: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1838*c**2*n**2 + 5*c*n**3 + 12*n**3 + 11*n**2 wrt c.\nAnswer: -3676*c*n**2 + 5*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35402 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**13*(g\/(g\/(g**(10\/9)\/g))*g)\/g*g)\/(g**(2\/21)*g\/(g**(2\/13)*g)))**(-40) assuming g is positive.\nAnswer: g**(-464200\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 26, 5 in decreasing order.\nAnswer: 26, 5, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:33 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.3 - 66.9. What is the second smallest value in 0, 5, s, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*v + 31, 2*t - 4*v - 9 - 9 = 0. Suppose 764 = 2*c + 2*b, 3*c - 6*b + t*b = 1134. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44155152 (base 6) to base 15.\nAnswer: 1b1982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.6. Let f be (-9)\/(-6)*4\/(-21). Which is the biggest value? (a) f (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122992 + 122992 - 881*t + t**2 as b + m*t + j*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 - n**2 + 4*n**2)*(-7 - 7 - 1)*(-161*n + 161*n - 213*n**2)*(0 + 1 + 0) to the form z + j*n**3 + g*n + u*n**2 + a*n**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 1365447727 to the power of 1\/2, to the nearest integer?\nAnswer: 36952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2874 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1)*663\/(-30). Let z = 2491\/55 - l. Which is the second biggest value? (a) z (b) 1\/3 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.08 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 1874 in ascending order.\nAnswer: -5, 4, 1874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by -9488.\nAnswer: -35\/2372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 6517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -6874, 0.04, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:45 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*u + 170*u - 53*u - 58*u + 3*u**2 + 14.\nAnswer: 3*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -522 + 925. What is the greatest common factor of d and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 417284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192053535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 211024104 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: Let a(x) = -3*x**2 + 19*x + 156. Give a(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -607 - -1120. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8*d + 3)*(7*d - 4*d - d) - 3 + 3 - d**2.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 11 = 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-193 + -8)*(-2)\/(-102). Let n = t - -4. Which is the second biggest value? (a) -0.3 (b) n (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 3*m + 4865225*m**3 - 9730403*m**3 + 4865219*m**3.\nAnswer: 41*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 - 7 = 0. Suppose u - 8 = v. Let r(b) = 7*b + 3. What is the remainder when r(u) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 38.69?\nAnswer: -34.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let v(r) = -5*r + 4. Let j(p) = -4*l(p) - v(p). Let o(i) = 5*i + 4*i - 23*i + 7*i. Give o(j(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22090 and 21761?\nAnswer: 10227670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + 22. Let p = v + -93. What is the units digit of ((-18)\/8)\/(9\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55472\/13 or 4267?\nAnswer: 4267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 - 20*j**2 - 8*j - 24. Does 64 divide a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2526234 and -77\/3672.\nAnswer: 90944424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*t - 73 = -4*o + 314*t, 2*o - 41 = 3*t for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792746285.\nAnswer: 5, 7, 79792751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = -2*l. Let t be 3*(-2 - (3 + -7)). Calculate the greatest common factor of t and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 4*l**2 - 3*l + 4. Let g be h(-3). Suppose -1 - g = -5*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*l + 27242728 + 4009422. Let d = -545425 - l. What is d rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**11)\/(i**(2\/19)*i)*(i**(-3)\/i)\/(i**(-8)\/i*i) assuming i is positive.\nAnswer: i**(283\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648762649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 3*d - 2. Let q(b) = b. Let r(h) = 2*q(h) + u(h). Let x be r(3). Let a(p) = -2 + 3*p - 36 + 35 - 5*p + p. Determine a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyccc. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 4, s: 2, l: 1, z: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(15\/7)\/(j*j**(2\/21)*j)*j*j\/(j**(5\/4)*j)*j*j*j**(-27))**(-48) assuming j is positive.\nAnswer: j**(8468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/2 + 5*z + 8. Differentiate o(s) with respect to s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 4 = -s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129119081 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 11 = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -6) + (124 - 0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (54\/(-81) - 362\/(-12))\/(-8) and 51\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3.19402\nAnswer: 0.958206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-120)\/36*(2\/(-8))\/(9\/4544802) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 divided by -2771?\nAnswer: 282\/2771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 19*v**2 - 6*v - 66. What is o(-18)?\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5130 + 5211. Suppose -o - 8 = -5*o. Put k, o, 3 in increasing order.\nAnswer: o, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 795537.\nAnswer: -2\/795537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 9*t - 10. Let u be o(7). Suppose -f - 3*d + 16 = -0*d, 0 = -u*f + 5*d + 30. Let q be (f\/(-4))\/((-1)\/2). Put q, 4, -2 in decreasing order.\nAnswer: q, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 97*x**2 + 671*x + 5455. Give u(-103).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4)*(-1)\/(-12). Let l(z) be the first derivative of 0*z**2 + d*z**4 + 0*z + 1 - 1\/12*z**3. Determine b so that l(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930167309.\nAnswer: 37, 25139657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**8)\/(d\/d**(1\/3)))**(4\/29) assuming d is positive.\nAnswer: d**(100\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 440, 0, -1006 in increasing order.\nAnswer: -1006, 0, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 3*m + 17*m. Let a(w) = w**2 - 3*w - 4. Is a(m) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + -2*sqrt(2299) + sqrt(2299) - (5 + sqrt(2299) + 1)) + 0 + 6*(-1 + sqrt(2299)))**2.\nAnswer: -616*sqrt(19) + 36833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 2, u: 1, v: 4}. What is prob of sequence jjv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 11) + (9 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 515 = -5*m, -28*m + 23*m - 2*w = -515. Are m and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j**3 + 21*j**3 + 13*j**3 - 20*j**3 - 75*j**3 + 24*j**3 + 25*j**3.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8117 + -4858. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6635, 6097, 5559, 5021, 4483, 3945?\nAnswer: 3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 14*u**2 + 10*u + 17. Let q be c(-12). Suppose -35 - q = i. Let f be (i\/6)\/(12\/(-1800)). What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89679 and 23547.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -5*l - 5*v, -2*v - 139 = -3*l + 3*v. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = -7*d + 697. Is 180 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + 3 + 3 + -8 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - j**2 - 4. Let r(d) = -d**3 - 1. Suppose -4*p = -5 + 9. Determine p*c(w) + 5*r(w).\nAnswer: -2*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(595\/42))\/((-6)\/(-100))*160\/320.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - v**2 + 2. Let x be j(0). Let z(i) = i - 4. Let m be z(x). What is the tens digit of -22*((-3)\/m - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m**6\/3 - 28*m**5\/5 - 19*m**4 - 100*m**3\/3 - 32*m**2 - 16*m + 1. Factor p(j).\nAnswer: -4*(j + 1)**3*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*i**4 - 7*i - 2*i - 36*i**4 + (-i**2 + 5*i**2 - 5*i**2)*(2 - 2*i**2 - 2) - 2*i**4 + 0*i**4 + 4*i**4.\nAnswer: 2*i**4 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*t + 26, 16 + 18 = 2*t + 4*x. Suppose i + 57 = 2*v, 4*v = -5*i - t + 88. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a factor of 2928052776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or 0.31781?\nAnswer: 0.31781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*x = 6*m - 4, -2*x - 8 = -4*m. Suppose -m*r = 3*k - 249, -k - 3*r = -5*r - 93. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -10.9. What is the smallest value in n, 2\/13, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 38*y - 9993 + 3*y**2 - 4*y**2 + 10035 + 0*y**2. What is u(39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**4 - 11*c**3 - c**2 + 5. Let z(h) = 8*h**4 - 12*h**3 - 2*h**2 + 6. Let v(q) = 6*g(q) - 5*z(q). Solve v(f) = 0 for f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 + 44*y.\nAnswer: 4*y*(y + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320206\/87 or -3680?\nAnswer: -320206\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9405834 (base 10) in base 5?\nAnswer: 4401441314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -261300 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 + 18*h**2 + 13*h + 15. Let x be p(-7). Calculate the greatest common factor of x and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(78)\/(sqrt(6) + 6*(sqrt(6)*-1 + sqrt(6)) + sqrt(6))*-3.\nAnswer: -6 - 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.022 + -0.022. Let i = -2171 - -32569\/15. Do i and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**3\/3 + 2*w + 5. Let i(c) = 198*c**2. What is f(i(k))?\nAnswer: 396*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3654\/(-25542) + ((-30)\/(-33))\/5)\/(10\/6)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, -b + 5*b - 39 = -3*p. Suppose 0 = 14*z - p*z + 1648. Let g = z + 3633. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341096 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498774.\nAnswer: 2, 3, 97, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert b15 (base 16) to base 11.\nAnswer: 214a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1542)\/(-46) + 1518\/(-46)?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3608 - -3609. Solve -5*s - t = 2*z, -2*s + 9*z - 5*z = 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21046 and 1998.\nAnswer: 21024954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105160066 to the nearest integer?\nAnswer: 10255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2 - (-189)\/126?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.37 - -16. Let v = -0.17 - l. Let z(h) = -h**2 - 2*h + 4. Let n be z(-3). Which is the second smallest value? (a) n (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000184138524 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -380c7dd?\nAnswer: -380c802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 6 = -15*c. Let g(s) = -1 + 1 - 11*s. What is g(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 21*n + 448 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1870914 is divided by 50563?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**2. Let k(w) = 20*w**2 - 65262. Calculate k(i(u)).\nAnswer: 5780*u**4 - 65262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 94.86868 decades?\nAnswer: 0.9486868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 3) to base 13.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + 496*l + 2007. Calculate v(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8141*h + 65108. Determine r(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.319, -0.03, 2\/5, 5, 0.2 in descending order.\nAnswer: 5, 2\/5, 0.319, 0.2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12389876 + 5\nAnswer: -12389871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -144\/5*u**2 + 115 + 126\/5*u**4 + 147\/25*u**5 + 88\/5*u**3 + 48\/5*u. Factor y(v).\nAnswer: 3*(v + 2)**2*(7*v - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -256862*m + 1027416. Determine p(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 13*n + 20 = 0. Suppose 3*g = -c + 19, 2*c + c + n*g = 77. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.63 + 1.565. Let b = o + 0.2074. Round b to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + (3 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1620, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:11 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5808187 to 2 decimal places.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.1 - -23.1. Let v = 27 + -24. Which is the closest to 0? (a) -1.7 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(((-5)\/2)\/5). Let g be (-7 - -8) + z\/6. Sort 14, g, 1.\nAnswer: g, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 6*r**5 - 729*r**4 - 139305*r**3 - 997974*r**2 + 533904*r = 0.\nAnswer: -98, -8, 0, 1\/2, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84439889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*f + 44, 6 - 18 = -3*f. Suppose 60 = o*p - 20. Suppose -9 = 3*x + s + 2*s, -5*x + p*s + 35 = 0. Solve x*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 1483, 3343, 5947?\nAnswer: 9295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 3. Let o be h(6). Let l be ((-18)\/(-4))\/(o\/(-30)). Let d = -25 - l. Calculate the least common multiple of 22 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3805 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2129, 5011, 9815, 16541, 25189, 35759?\n\"Answer: 961*y**2 - y + 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t*t\/t**(-14))\/t)*t**(1\/4))\/((t\/(t*t*t\/t**(2\/5)))\/(t**13\/t)) assuming t is positive.\nAnswer: t**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 7*v**2 - 9*v + 11. Let g be d(8). Suppose g*w = s + 4, -s = 3*w - w - 11. Put -1, 0, w in decreasing order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + (-1 - 1) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/(-236)*8\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30157 smaller than -30161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -134, -192, -246, -296, -342, -384?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 37*b**2 - 17*b + 41. Calculate c(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24486888 is divided by 1530430.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42417 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -13. Is p at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.25 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*a - 7327 = 0, -3*j - 4*a - 4409 = -6*j. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1156883*s**4 + s**3 - 291386*s + 4 wrt s.\nAnswer: 13882596*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 12:39 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 - 42*j**3 - 2325*j**2 - 42284*j.\nAnswer: -j*(j + 44)*(j + 62)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 967.7 - 968. What is the third biggest value in 12\/7, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (2 - 9)) + 67 + -65?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.031 + -823208013.\nAnswer: -823208013.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12516244*a**4*g**3 + 107*g**3 - 25112 wrt a.\nAnswer: 50064976*a**3*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 39*h + 189. Let j be l(-5). Let a be -2*1 + -1 + 4. Sort j, a, -5 in increasing order.\nAnswer: j, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156160 a multiple of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80283 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 96790 divided by -5\nAnswer: -19358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/13))**49\/(q*q\/(q*q**1*q*q))**(12\/5) assuming q is positive.\nAnswer: q**(557\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:05 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1671 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 11. Let h = 15 - u. Find the third derivative of -y**3 - h*y**5 + y**3 + 10*y**5 - 2*y**2 wrt y.\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*n**2 + 23*n - 13 + 8 + 6 to i + t*n**2 + p*n and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:31 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1275993, -68 in decreasing order.\nAnswer: -5, -68, -1275993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7854?\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 606.\nAnswer: -3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12 and 79\/2842178?\nAnswer: 17053068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - l**3 + l**3)*(0 - 1 - 1)*(8 - 5 + 2 + (-1 + 3 - 4)*(6 - 4 - 4) + 0 + 7 - 3)*(-3 + 7 + 4).\nAnswer: 416*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 36 = 4*q, 2*u - 8 = 4*q + 36. Let o = -200.699 + -0.801. Let p = -202 - o. Put -2, p, q in descending order.\nAnswer: p, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 3, s: 2, e: 9, z: 1}. What is prob of picking 2 s and 1 b?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 174*i + 4526. Calculate r(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtgtgtttttg. What is prob of sequence tgt?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 34, -5.5, 5, -1.\nAnswer: -5.5, -4\/3, -1, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5884335?\nAnswer: 3, 5, 43, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/12370180 and 59\/10?\nAnswer: 12370180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 114230?\nAnswer: 114228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**2 + 1649*l + 13512. Let z be k(-8). Let q = 2\/7591 + -23099\/1237333. Do z and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 28*m. Let c(l) be the second derivative of m*l**3 - 11*l + 0 - 1\/6*l**4 + 0*l**2. Let v(u) = 20*u. Determine c(v(d)).\nAnswer: -800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 6*m - 5. Calculate s(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 751120 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 321 = -x - 0*x, 0 = 3*k + 4*x - 476. Suppose -4*c = -8*c + k. Suppose -8 = -b - 5*p + 16, -3*b + c = -p. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0, -56\/19, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - 235\/(-25). Let o be ((-3)\/h)\/((-1)\/6). Suppose o*l - 2 = 4. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + 1) - (-37 + 35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1595 + -305. What are the prime factors of n?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 189, 190?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-29))\/((-1734)\/(-326859)))\/(0 - 36\/16)\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-3\/5))*s**4*s)\/(s*s\/((s**(-1)*s*s)\/s))**(-1\/29))\/((((s*s**(2\/5))\/s)\/s**(-1\/6))\/((s*s**(1\/2)\/s)\/s)**(-4\/11)) assuming s is positive.\nAnswer: s**(50569\/9570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.267 + 9.267. Put -1\/2, y, -3\/7, 2 in increasing order.\nAnswer: y, -1\/2, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, q: 1}. What is prob of picking 1 q and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.047 - -0.247. Which is the closest to -1? (a) -1\/3 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4 - 21*k**3 + 42*k**2 - 24*k = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5256815 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 4299203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08295278 to 3 decimal places.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4 - 3 - 1 - w. Suppose 0 = -0*k + 3*k - 15. Suppose -4*t + 5*g = 1, 2*t - 4 - 3 = k*g. Give i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 41. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s - 24, -74*t + 40 = -72*t - 9*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575588 and 3068?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-441)\/(-5733)*(2\/(-39))\/(4*(-7)\/84)\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-627)\/(-44)) - -4 - 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/(3\/(-162)). Suppose a - 25 = t. Let i = a - 6. Is i > 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5560 - -5782. Calculate the least common multiple of 27 and a.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*c**4 + 13\/12*c**3 - c**2 + 0 + 1\/3*c + 1\/12*c**5 = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -124. Let z = 3.4 + -3. What is the closest to 2 in j, z, -0.7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 14356*s**3 - 43077*s**3 + 14357*s**3 - 174*s**2 + 14360*s**3 to the form y*s**3 + u + x*s**2 + q*s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -81 and -106.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*r + 206 + 213 - 416)*(3*r + 2*r + 8*r) to i + w*r + u*r**2 and give u.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -1\/160*x**6 - 1\/3*x**3 + 0 + 67*x - 1\/120*x**5 + 1\/840*x**7 + 1\/8*x**4 - x**2. Let o(w) = 0. What is w?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1223, -2448, -3673, -4898?\n\"Answer: -1225*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 1 - 1 + (r**2 + 1 - 1)*(-3*r + 2*r - r) + 2*r**3 + r**3 - 2*r**3 - 40*r**3 + 66*r**3 - 42*r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d - d)*(-81 + 25 - 36)*(1 - 1 + 2).\nAnswer: 368*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 99 = -109 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -12. Let a(y) = y**3 - 8*y**2 + 10. Let j be a(u). Solve 10 = -4*l - j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/102)\/((-5)\/12)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-6)*l**(2\/25))**(7\/5))**(12\/17))**33 assuming l is positive.\nAnswer: l**(-410256\/2125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.546 - -2.746. Let d = -167\/3 - -499\/9. Sort d, 1, l, -4 in ascending order.\nAnswer: -4, d, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/12 + k**2\/2 - 2. Let s(r) be the second derivative of g(r). Let a(m) = -2*m**2. Calculate a(s(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2102438, 4, -18 in increasing order.\nAnswer: -18, 4, 2102438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -2*y**6\/195 - 31*y**5\/130 - 55*y**4\/26 - 25*y**3\/3 - 125*y**2\/13 + 105*y. Find x such that b(x) = 0.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/5632 and 69\/1692416.\nAnswer: 3384832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 4732?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-34)\/54. Which is bigger: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 489458 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (63 + -43 + 78 - 26).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 take away -0.28178?\nAnswer: -542.71822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-11 - -42) + (1 - 4 - -1))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r + 111*q - 109*q, -3*q = -5*r + 35. Suppose -r*c - 2*f + 10 = 0, -8*c + 3*f - 5 = -4*c. Is -4\/123 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34022268?\nAnswer: 2, 3, 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y)*(4 - 2 - 3)*(-y**2 + 3*y**2 + 4*y**2) + (-2*y + y - y)*(0*y**2 - 2*y**2 + y**2).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - 2*y. Let t be g(-3). Let j = -91 + 96. Let z(k) = -2*k**2 - 6. Let l(d) = 2*d**2 + 5. Calculate j*z(o) + t*l(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 55. Let b(l) = 16*l + 2. Let s be b(3). Calculate the highest common factor of z and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 211\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 7*u**2 - 3*u + 6. Let y = 12 - 6. Suppose 3*h - 21 = y*h. What is the tens digit of g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 divided by -268.\nAnswer: -171\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 630664.2 millilitres?\nAnswer: 630.6642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 254327561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-2) - -4) + 6. Suppose -4*h - 5*j + 2*j = -96, -g*h + 4*j = -70. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 410079, 410273, 410467, 410661?\n\"Answer: 194*u + 409885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1601100 to the nearest ten thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, 27\/7, -0.5, -3\/5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w + 5. Let u = -18 + 15. Let l(q) = 7*q - 9. Let a(r) = -4*r + 5. Calculate u*l(f) + w*a(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 133625024 divided by 312208?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*((-27)\/(-135))\/((-6)\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210.0846652 - 67.\nAnswer: -277.0846652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*d = -10435 - 38413. What is the highest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j = -32, -4*n - 3*j = -8*n + 197. Suppose 7*w - n = -40. Is w at least as big as 2\/387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/42)\/((-84)\/(-392))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 6*x**2 + 6*x - 5. Does 2 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 253826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = -5*a, 2*o - 23 = 5*a - 2*o. Let q = 9 + -16. Is q less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 12 = -8. What is the smallest value in -3, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n + 2*n**2 + (3 - 3 - 2*n)*(-5*n + n + 2*n) - 40*n**2 + 73*n**2 - 2*n - 34*n**2.\nAnswer: 5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17) + 4 + (1*sqrt(34)\/sqrt(2))**2 + -5.\nAnswer: sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:22 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 3144*y + 25218. Determine i(-8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbbbsbbbsb. What is prob of sequence bbss?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 3*y**2 + 11*y + 22. Let b be s(7). Let g = b - -675. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 + 7578*a**4 - 209140*a**2 + 7*a.\nAnswer: 120*a**3 + 181872*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -618154, -618163, -618172?\n\"Answer: -9*n - 618145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbppbpppppb. Give prob of picking 1 b and 2 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jypyyoopyoo. What is prob of sequence po?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 1.5 (c) -2 (d) 2 (e) -20 (f) 22 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 60*a**3 - 387*a**2 + 860*a - 636.\nAnswer: -(a - 53)*(a - 3)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505.0962um to meters.\nAnswer: 0.0005050962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 0*w - 4 + 1 - 3. Calculate f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 27*j - 832 = -56*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 154*g**2 + 20*g - 40. Let p be m(2). What is the greatest common divisor of 112 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, i: 11}. What is prob of picking 1 l and 3 i?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:46 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -53. Let l = -717 - -1059. Calculate the highest common divisor of l and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -291756, -291727, -291698, -291669?\n\"Answer: 29*c - 291785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 11, 2, -5.\nAnswer: -5, -2, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence offo when four letters picked without replacement from {b: 5, o: 1, f: 1, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455*m - 1351*m - 1248 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -676\/3*w**3 + 0 + 24*w - 182\/3*w**4 - 49\/10*w**5 + 0*w**2. Factor h(b).\nAnswer: -2*b*(7*b + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0190246007351 + 0.112.\nAnswer: 0.1310246007351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - -0.7. Let i = d - 0.2. What is the nearest to 0 in i, -0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 4*f**2 - 2*f - 12. Let j be s(5). Suppose 4*a + j*a = 28. Solve a*n - n + 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/516 and 75\/64.\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 4)**2 - sqrt(2)*4*4.\nAnswer: 24*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 236 - 52 - 52 - 17 - 59 - 56.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*(77\/7)\/(-55).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6584*p + 1644. Let t be s(-139). What is t rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f**2 + 56*f**2 + 501*f**2 - 139*f**2 + 438*f**2.\nAnswer: 891*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p - 32. Let s be h(5). Suppose 0 = 3*v - 46 + s. Is 23 a factor of 1*(-2 + v) - -93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 648?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (-2 + 4 - 1)*(2 - 5 + 1) - 1 - 1 + 1)*(-4*j**3 - 6*j**3 - 3*j**3).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**4 - 3125*d**3 + 255760*d**2 - 5639140*d = 0.\nAnswer: 0, 46, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 1\/40*g**5 + 0*g - 13*g**2 - 3\/160*g**6 + 0*g**3 + 0*g**4 + 0 + 1\/448*g**8 + 0*g**7. Factor t(x).\nAnswer: 3*x**2*(x - 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*c + 18 = 0, c = 3*r + 3 - 14. Let v = -37 + 37.1. Sort -0.3, r, v in increasing order.\nAnswer: -0.3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*i - 3111, 10*i + 5*l = 8*i + 2063. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 69*f + 391. Let q be j(-63). Let c(z) = 2*z - 1. Calculate c(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -23*j**2 + 4*j - 32. Let d(g) = 47*g**2 - 9*g + 64. Let v be 749\/49 + 4\/(-14). Let w = v - 24. Let y(k) = w*l(k) - 4*d(k). Differentiate y(s) wrt s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 703157.01 - 700141. Round j to the nearest 10.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226224481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216 - 214. Suppose a + 2*j = -3*a + 512, -5*j = f*a - 240. Sort a, -5, 3 in descending order.\nAnswer: a, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/2 - 7*z\/2 + 3 = 0. Calculate z.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/70 + 366\/7. Suppose -5*n = -n - p. Calculate the remainder when n is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2*u**2 - 16106305*r**2*u*v**2 + 3248*r**2*u*v + r**2*u + 16*r**2*v + 4*r**2 + 19*r*u**2*v**2 - r*u**2 - 4*u*v wrt v?\nAnswer: -32212610*r**2*u + 38*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*w**4 + 4*w - 3*w + 226*w**4 - w**3 - 1 - 7*w**2 in the form f*w + b + o*w**4 + n*w**2 + t*w**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 4*t**3 - t**3)*(-3 - 4 - 2)*(4 - 2 + 2)*(1 - 5 + 3).\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w*w**(-2\/59)))*w*w*w**27\/w)\/((w*w**(-6\/11))\/(w*w**(3\/4)*w*w*w)) assuming w is positive.\nAnswer: w**(88943\/2596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -645*p + 47 + 43 - 131 + 40. What are the prime factors of f(-1)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 - (-1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 419437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120910, 241817, 362724, 483631, 604538?\n\"Answer: 120907*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2663 + 0.1663. Which is smaller: -1.755 or z?\nAnswer: -1.755","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-53 + -50 + 84 - (1 + -8))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -1 - 2. Suppose -2*q - 33 = q. Let c = -87\/8 - q. What is the third smallest value in -0.5, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071252223 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 9*h**2 - 3 + 5 - h**3 - 5*h. Let v be x(8). What are the prime factors of (-44)\/(-6) + v\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 19*l - 7 = -3*j, -5*j = -4*l - 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by -5\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 1*(-3 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -944, -3 in descending order.\nAnswer: 4, 0, -3, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 435362.1 and -16104.\nAnswer: 419258.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 2*j - j)*(-23*j**3 - 3*j**3 + 7*j**3 + (-j + 3 - 3)*(-j**2 - 1 + 1) + j**3 + 0*j**2 + 0*j**2) to p*j**4 + f*j**2 + y + z*j + w*j**3 and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13010?\nAnswer: 2, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26001525 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1094 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*-66 + 0. Let f be (i\/(-55))\/((-2)\/70). Suppose -5*b + 14 = -f. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1912*m - 66072 = -12536 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 8840806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4665 (b) -0.3 (c) -0.1 (d) -1\/2 (e) -5\/2 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (330\/(-40))\/(-11).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-2))\/(3\/(-12)). Does 7 divide ((-2)\/(-3))\/(b\/(-264))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 8*z - 10. Let s be h(5). Suppose -7*n = -s*n - 6. Suppose 0 = -0*y - 3*y + 63. Calculate the highest common factor of n and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3007 + -3004. Sort -11.2, w, -1.\nAnswer: -11.2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooqo when four letters picked without replacement from ooqqqqoqqqoo.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*m**2 - 22*m + 1519 wrt m?\nAnswer: -52*m - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 2*h + 14 = 26*v, 10 = 2*v - 3*h. Let 0 - 2\/3*l**v + 1\/6*l**3 + 2\/3*l = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - y**3 - 4*y**3)*(-712*y - 1150*y + 2296*y).\nAnswer: -434*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least 2462\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.545 - -57.545. Which is the closest to -0.1? (a) -2 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -621, -932, -1239, -1542, -1841, -2136?\nAnswer: -2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 198 (b) -1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -3) + ((-20)\/(-12) - 3). What is the smallest value in 3\/11, 5, 2, v?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. Let g = 0.383 - -0.017. Let k = g - 0.5. Which is the second smallest value? (a) k (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, x: 4, n: 6}. What is prob of picking 2 x and 2 v?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.19 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 23*v**2 - 88*v - 60. Give m(-26).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*y - 18, -2*q + 4*y - 7 = 5*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a2330 + -152?\nAnswer: -a2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704904?\nAnswer: 2, 588113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -135?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/4*(-2)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/(-882))\/(8\/28))\/(5 - 3)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*q + 36, 2*q + 29 = 3*f + 4*q. Let k = -7 + f. Suppose -2*x + 0*x**3 - 2*x**4 + 12*x**3 - 5*x**k + 0*x**2 - 3*x**2 = 0. Calculate x.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -522*m**3 - 186*m**2 - 1315172?\nAnswer: -1566*m**2 - 372*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g - 1. Suppose -u + y = -13, -6*y + 9*y = 15. Let w(h) = -5*h**3 - h**2 - 4*h - 4. Let l(j) = u*p(j) - 4*w(j). Give l(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17.\nAnswer: 2*p**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + (18 + (9 - 20) - (5 - (-4 - 8))).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 less than -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 - 3 = 0. Suppose -5*b + b - 2*h = 30, q*h = 4*b + 15. Is (-36)\/((3\/b)\/1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/600 - 19*r**5\/50 - 15*r**4\/8 - 56*r**3\/15 - 3967*r**2. Factor q(l).\nAnswer: -(l + 1)**2*(l + 112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/(15\/90).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-10)*3\/(-6)*0. Solve q - 6*q - 20 = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 21 = 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 90?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 303583283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-521*y - 807*y - 320*y + 232*y)*(-67 + 15 + y - 5) to the form g + d*y + c*y**2 and give c.\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180 + -179.03. Let c = z + 0.03. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.9. Suppose -52*d + 12 = -58*d. What is the nearest to n in -0.5, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, f: 2}. What is prob of picking 1 y and 1 f?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewmxe. Give prob of sequence mwe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*y = -196*y - 38*y - 15929 - 8025 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7188808 is divided by 378357?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 12. Let t be o\/(-8) + 30\/24. What are the prime factors of (-1)\/2*t + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*n + 1183, n = 4*d - 1053 - 1338. Suppose -4*m = i - d, 4*m + 0 - 608 = -4*i. What are the prime factors of m?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -17*j - 1620. Suppose 0 = 3*v + 2*v - 30. What is the highest common factor of j and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000048949837 rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -401*k + 1. Let p be (1\/3)\/((-3)\/(-18)). Suppose -l + p = 1. Let h be i(l). What is h rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 10316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5218106816 plus 6?\nAnswer: -5218106810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1134529330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 157 = -2*v, 0*v - 5*v + 410 = -5*y. Let o = v + -68. Calculate the highest common divisor of 130 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225432289447 - 0.5.\nAnswer: -225432289447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589 = -6*q - 287. Let h = -14 - q. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49815 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -569850*u**3 - 438355*u**2 wrt u?\nAnswer: -3419100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-2)*(378\/(-56))\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/(59\/(-118)). Solve -4*l - 4*o = 24, o - 7 = j*l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26182, 52301, 78326, 104251, 130070, 155777?\nAnswer: 181366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17060*g = -17265*g + 410 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -609669, -1219331, -1828993, -2438655, -3048317?\n\"Answer: -609662*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 105605, 105053, 104501, 103949, 103397, 102845?\n\"Answer: -552*o + 106157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -100294 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9396 + 9396.00014489. Round t to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3, 2\/3, -0.01, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 1. What is i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267110.\nAnswer: 2, 5, 26711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d + 5. Let z(b) = 14*b - 15. Let w(v) = -3*x(v) - z(v). Let k(r) be the first derivative of 5*r**3\/3 + 9*r - 13. Determine k(w(u)).\nAnswer: 5*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.612 + -0.0406861.\nAnswer: -0.6526861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 6. Let l be h(7). Which is smaller: l or -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 29*c + 5. Let s(u) = 60*u + 11. Calculate 7*l(i) - 3*s(i).\nAnswer: 23*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-35) + -5 + (-6 - -7)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235.1 - 252. Let a = j - -17. Round a to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2 + 5*h + 5. Let k be j(-2). Let o = -22 - k. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98886 divided by 6?\nAnswer: 16481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*a - 1636*a**2 + 73*a + 744*a**2 + 806*a**2 in the form y*a + r + f*a**2 and give y.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) + sqrt(385)*2 - sqrt(385))\/sqrt(11) + sqrt(35) + sqrt(35))\/(sqrt(567) - sqrt(7)) + 2.\nAnswer: sqrt(5)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 554540 (base 6) in base 15?\nAnswer: db53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -32. Suppose 4*x - 59 - 61 = n. Let o = x + -23. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16 and -123\/459040.\nAnswer: 459040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537102699.\nAnswer: 3, 7, 47, 544177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 89683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -136*q**2 - 951*q + 7. Calculate g(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 454*z**2 + 3701*z + 2316. Give d(-462).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w. Let j(r) = 3*r**2 - 3*r - 1. What is -2*j(p) + 5*s(p)?\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 3*c + 3*c + c - 2*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.98 + -0.98. Suppose -3*o = -21 + 3. Let x = -8 + o. Which is the closest to 0.1? (a) n (b) x (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 1313*o**3 - 3*o**2 - 767*o**3 + o**2.\nAnswer: -2080*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 + 1 = 0. Let g(b) be the third derivative of -1\/72*b**6 + 0*b**3 + 0*b**4 - 2*b**x - 2\/315*b**7 - 1\/90*b**5 + 0*b + 0 - 1\/1008*b**8. Factor g(d).\nAnswer: -d**2*(d + 1)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 2, z: 2, i: 2, w: 2, k: 2}. Give prob of picking 1 k, 2 z, and 1 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 7*f**6\/15 + 57*f**5\/10 + 2456*f**4\/3 + 5538*f. Find the third derivative of n(d) wrt d.\nAnswer: 336*d + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 37307*d**2\/2 + 86983602*d - 86992929\/2 = 0. Calculate d.\nAnswer: -9327, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 1144*k**3 - 110208*k**2.\nAnswer: 2*k**2*(k - 656)*(k + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92469 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhihhhnhhbhbbbh. What is prob of picking 2 h and 1 i?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 18522 = -2*z, -8*q - z + 14828 = -4*q. Is q a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 8*x - 3*x - 25 = 0, 7*g + 442871*x = 442869*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 424263 - 5?\nAnswer: 424257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k + 3*o, 5*k - 11 = 4*o - 3*o. What is the closest to -1 in k, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1800 and 12?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 + 14020625*g**2 - 98144130*g = 0. Calculate g.\nAnswer: 0, 7, 2804118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832128 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 244, 903, 1988, 3487, 5388, 7679, 10348?\n\"Answer: -2*a**3 + 225*a**2 - 2*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udddduaudduddd. Give prob of picking 3 u and 1 d.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-3)*(3 + 0) + -2. Suppose -3*j = -4*j - 4*h - i, -2*j = -h. Suppose 2 = -3*c - d - 11, 0 = -d - 4. Sort c, -5, j.\nAnswer: -5, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -103, -319, -733, -1411, -2419?\nAnswer: -3823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 0 + 0 + (2 + 0 - 3)*(4 + 2*d - 4) + (-6 + 4 + 5)*(7*d - 3*d - 2*d) + (0 - 4 + 1)*(0*d - 3*d + d) + 2*d - 2*d + d to the form t + r*d and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 9*j + 11. Let x(p) = p**2 - 8*p + 10. Determine 5*w(m) - 6*x(m).\nAnswer: -m**2 + 3*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 2}. What is prob of sequence bw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 45\/36)\/1 + 3.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/5 + 60*c - 2250 = 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*j**3 + 39191*j**2 + 1901200*j + 28227 = 0.\nAnswer: -97, -3\/202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4286.9 minus -596?\nAnswer: -3690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w - 15*w - 7*w - 23*w - 1 + 37*w.\nAnswer: -31*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from hhhvhhvhhhhvvhhhhh.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4043893 tonnes to micrograms.\nAnswer: 404389300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -93355*c - 1400304. Determine l(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 692672, 692657, 692646, 692639?\n\"Answer: 2*s**2 - 21*s + 692691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -7?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2823 - 2798 + 5551 + 6*g**2 to the form u*g**2 + l*g + m and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, 0, 93, -1 in decreasing order.\nAnswer: 93, 3, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (48 - (39 - 66))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:56 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 - 5*o + 10. Let x(w) = -3*w**3 + 4*w - 9. Calculate -2*f(l) - 3*x(l).\nAnswer: l**3 - 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15*q + 1. What is t(-5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 - 5*g**4\/12 - 2*g**3 - 3*g**2 + 97. Calculate t(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 10*j**2 - 5*j - 10. Let c = -3 - -6. Suppose q + 0 = -3, -2*d + c*q + 27 = 0. What is the units digit of f(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, -4, -4302?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2891933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c, 0 = 119*x - 122*x - 5*c + 71. Solve -k = -3*l + 10, -x*l + 14*l + 13 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 - 66996*p**2 - 268032*p - 268048 = 0. What is p?\nAnswer: -2, 16753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2, 0.07, 20, 3\/4, -1\/14?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 5*f**2 + 3 + (-18*f + 14*f - 26*f)*(-13*f - 2 + 2).\nAnswer: 395*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 + 11*w**3 - 18*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Suppose 3*u + u + 3*h - 26 = v, -4*u + 22 = h. Which is the smallest value? (a) u (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1)*((-292)\/(-24) - 12)*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 36. Let d = 27 + h. Let j be 3\/9 + d\/12. Is j bigger than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 greater than or equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 1\/5 (b) 0.12 (c) -246 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from {s: 1, n: 4, w: 1, k: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 831773, 1663520, 2495267, 3327014?\n\"Answer: 831747*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12*70*18\/(-15). Let p be ((-4)\/(-7))\/(4\/m). Suppose -61 = -p*u - 25. Solve x + u = 4*d, -3*d - 2*d = -x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times -4.2?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*j - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -3*w + 5*u - 0*u, 2*u = 3*w + 44. Let y(m) = m + 14. Let s be y(w). Solve -2*r - h - 3 = 0, 3*r + h - 2 + 4 = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p - 2*i, -7*p - 428 = -3*i - 435. Let k = 2 + -6. Sort -1, k, p, 8 in descending order.\nAnswer: 8, p, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*s + 2*s**3 - 35*s**2 + 222*s - 4*s**3 + 177*s**2 to the form v*s**3 + b*s + h + q*s**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1454063\/84702 + 2\/14117. Let p = 5541\/776 + -3\/194. What is the common denominator of s and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5806434 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, -245, 11\/9, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - j + 5. Let c be 0 + 1 + 55 + 1. Suppose 58 = 3*o + b, c = 5*o - b - 29. What is the remainder when r(-3) is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 5, 3, -16, 0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Let v(y) = -290*y. Give v(u(o)).\nAnswer: -580*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -274, -294, -316, -340, -366?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 6551d?\nAnswer: 65519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3073670 - -1?\nAnswer: 3073671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (29\/145)\/((-3)\/15)*-7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 2. Let s(d) = 3*d**2 - 2*d + 13. Let u(m) = -6*o(m) - s(m). Let g be u(2). Solve c = 6*c - g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/3))\/u)**(-5)\/(u\/u**(-2\/7))**(-28) assuming u is positive.\nAnswer: u**(103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 6, u: 7}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2 - 203232*p - 5162905728 = 0.\nAnswer: -50808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 564*d + 15374 - 9062 + 21888 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56672 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -171 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6125, 5994, 5769, 5450?\n\"Answer: -47*c**2 + 10*c + 6162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 639 = 5*s - 4*s, 795 = -5*r - 5*s. Let j = -150 - r. Solve j*c = 13*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/18)\/((-3)\/(-2)). Let o be -6*(2\/(-3))\/2. Factor 1\/3*z**o - 1\/3 + 1\/3*z - y*z**3.\nAnswer: -(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a factor of 1809665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6537874 and 196?\nAnswer: 13075748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 0*t - 2*t - 3*t + 3*t + (3 + 1 - 6)*(3*t + 2 - 2))*(315*t - 510*t - 774*t).\nAnswer: 8721*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 less than or equal to 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g. Let n(z) = -4*z**2 + 5*z + 5. Let y(s) = 2*s**2 - 3*s - 3. Let l(h) = -3*n(h) - 5*y(h). What is l(f(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411753*p**3 + 205873*p**3 + 205869*p**3.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 6 - (-4 + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/68 and -83\/32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26883 + -26948. Which is the biggest value? (a) -2\/23 (b) -1\/4 (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-28 + 11)) + -14 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5\/5 - 12*q**4\/5 + 28*q**3\/5 + 12*q**2 - 72*q\/5 = 0 for q.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 3 + (-8 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398286, -796531, -1194730, -1592883, -1990990, -2389051, -2787066?\nAnswer: -3185035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 - 192*s**4 - 4878*s**3 - 13452*s**2 - 13053*s - 4284.\nAnswer: 3*(s - 84)*(s + 1)**3*(s + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19295 and 337127?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 25 + 25)*(0 - 2 + 9) + x - x + 2*x + (x - 5*x + 3*x + 2)*((-1 - 1 + 4)*(-6 + 1 + 0) + 1 + 1 - 4 + (0 + 2 - 4)*(0 + 5 - 3)) as s*x + h and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 14.\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 17*p**2 - 7 + 11*p**2 - 35*p**2.\nAnswer: -2*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 48137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/33 - 116\/638. Sort b, 4, -1008, 3.\nAnswer: -1008, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1553908*m**3 + 1379700 wrt m?\nAnswer: -4661724*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 49*t**5\/60 - 7*t**2. Let y(x) = 2*x. Calculate y(m(k)).\nAnswer: 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -2. Let z(g) = -4 - 4482*g - 16063*g - 6956*g. Let u be z(m). Round u to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = r + 3*r + 64, -3*m + 2*r + 48 = 0. Calculate the smallest common multiple of m and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19983 = -4460*o + 40931 + 34475 + 47331 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -40*k - 155. Let l(d) = d + 2. Let g(t) = 455*l(t) + 7*p(t). Determine g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26288 and 9858?\nAnswer: 78864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -1. Let q(m) = 11*m + 8. Let a(z) = -13*z - 10. Let j(v) = v**3 - 25*v**2 - 54*v + 5. Let x be j(27). Let f(y) = x*a(y) + 6*q(y). Calculate f(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1599 and 107065842.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14899593 - -24.22.\nAnswer: -14899568.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45251.\nAnswer: 37, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -24. Let o = -0.142 - -0.042. Put w, 2, o in decreasing order.\nAnswer: 2, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/12*0\/1. Suppose 0 = 4*i + 2 + 10, x = 3*z - 4*i - 99. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 5*b + 0 - 3 + 2 + 3*b.\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zssuszuzsssszs. What is prob of sequence zuu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let h(g) be the third derivative of g**5\/15 + 3*g**3\/2 + 148*g**2. What is o(h(a))?\nAnswer: 8*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -1237?\nAnswer: -74.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 106064075 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 - 4*i - 2. Let t be u(-2). Let k = t - -27. Solve -2*x - 6*f + 2*f - 10 = 0, -5*f = k*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1023121?\nAnswer: 1023122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (258\/(-8))\/((-120)\/(-64)). Let t = g + 17. Which is the closest to 1\/4? (a) 5 (b) -1\/8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/38 in -69, -4, 37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, -29, -104, -179, -254, -329?\n\"Answer: -75*n + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**3 - 4*o + 26. Let s(u) = 5*u**3 - 3*u + 26. Let z be (72\/30)\/(3\/(-5)). What is z*s(y) + 3*x(y)?\nAnswer: -2*y**3 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {n: 10, y: 3, r: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 2*p - 1. Let r(i) = -2*i - 1. Determine -7*f(j) + 6*r(j).\nAnswer: 7*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196 or -2\/5?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 615?\nAnswer: 5535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*q + 512 + 1204. Calculate the remainder when 11679 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*(-232)\/232\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 5*g - 14. Give v(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17352622 (base 8) to base 7.\nAnswer: -46305330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*o + 701704 = 690730 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 - 29*p**4 + 45*p**3.\nAnswer: p**3*(p - 5)*(4*p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2530 + g - 937 - 10.\nAnswer: g - 3477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*s - 20386 + 6746, q - 4 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/385?\nAnswer: 1\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2646.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**4\/2 + 2*z**3 + 5*z**2 - 68*z. Let x(j) = 9*j. Calculate x(n(u)).\nAnswer: 108*u + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035444 a multiple of 1187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6.7537*-0.3\nAnswer: 2.02611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 - (2 - (-57 + 45 - -74))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115484*k**4*o**2 + 2*o**2 + 39154 wrt k.\nAnswer: 461936*k**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -16. Suppose -3*v + 38 = -8*h + 3*h, 5*h - s = -5*v. Suppose 0 = -a + v*a - 4*u - 23, -47 = -5*a - 4*u. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.5, -24, -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 34 = 130. Let c = u - 17. Let t be (-4)\/10 + (-84)\/(-10). Solve k - t = -2*g + 1, 5*k = 5*g - c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 33*d - 8880 = 0. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154414915?\nAnswer: 5, 1811, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 787107.6ug?\nAnswer: 0.0007871076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*u + u - k, 3*u - 5 = k. Suppose u*p - 3 = 3*z, 4*p = -0 + 16. What is the common denominator of z*(-63)\/(-112)*2\/3 and -1\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -3*m - 2*m. Suppose 2*c - 4*y = m, 216 = 5*c + 4*y - 71. Suppose h - 6 = c. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000658501956 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36*36\/6)\/(2\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 164.95583 * -4\nAnswer: -659.82332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 2. Let i be k(-3). Suppose -4089 = 1208*b + 155*b. Put 208, b, i in decreasing order.\nAnswer: 208, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6.6. Suppose 3*y = 2*y + 5. Let f be -6 + 1 + 2 + y. Which is the closest to -2\/3? (a) f (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, -9\/323, 6\/77, -1, 0 in ascending order.\nAnswer: -1, -2\/5, -9\/323, 0, 6\/77, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-460)\/130)\/23 + 238\/26. Let y(g) = 11*g - 17*g - 5 + g**2 - 6. Determine y(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1045316, -1045329, -1045366, -1045439, -1045560, -1045741?\n\"Answer: -2*p**3 + p - 1045315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5148.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/137, -10, -4, 72106?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 + 2*m + 1. Let v be g(4). What is the greatest common divisor of 30 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/280 and -27\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*p + 8, 0*n = 5*n + p + 20. Let m be 26 + 2 + n + 1. Let i = m + -6. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 3*r - 5. Give i(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25 - 7 - (2 + -1). Suppose 0*s + s - 2*h = 11, s - z = 5*h. Which is bigger: s or 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3 + 5569380*l**2 + 38985488*l + 33416112 = 0.\nAnswer: -1392338, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.06 - 0.06. Let i = 2 - k. Let r = 7 + i. What is the nearest to -1\/2 in 2\/13, 2\/5, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46393 times 0.3\nAnswer: -13917.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/75 and -2\/13814025.\nAnswer: 13814025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11896063?\nAnswer: 11896063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/(4\/(-6)). Suppose -5 = -h*f - 1. Suppose -f*x = x - 3. Solve k + x = -3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/10*-69*750\/(-100). Let f = 430 + r. Solve 2*z + 0*z = -2*k - f, 3*z = 3*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 293*r + 55276. Calculate t(-197).\nAnswer: -2445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16071*p = 16083*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11668829 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 20484.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/21 (b) -2 (c) 0.4 (d) 0.0309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/332703 and 167\/126.\nAnswer: 665406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 10:19 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 25*h**3 - 2*h + 1. Determine j(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/8)\/5 + 40\/32. Find the third derivative of 2*k**6 - 25*k**4 + 16*k**2 + 31*k**4 + 6*k**t + 37*k**2 wrt k.\nAnswer: 240*k**3 + 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.4 (b) -96 (c) 0 (d) 4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.6 - 26.84. Let k = i - -2.74. Sort 4, 1\/3, k in descending order.\nAnswer: 4, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 4*n + 20 + 36 + 4*n**2 + 10 to the form w + h*n**2 + y*n and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 less than 265053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42152503 (base 7) in base 11?\nAnswer: 2011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312550 (base 7) in base 16?\nAnswer: -29dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.08 - 6. Let n = 5.08 - b. Let y = n + -5.2. What is the second smallest value in -0.4, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 461*m**2 + 5*m - 3. Let t be g(1). Let c(q) = 3*q + 235 + 228 - t. Let f(j) = -j**2 - 15. Give c(f(y)).\nAnswer: -3*y**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + s - 19 + 9 = 0, -5*s - 22 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, u: 11}. Give prob of sequence uuu.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -67, 3, -3.\nAnswer: -67, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d - 4. Let o(l) = -8*l - 2. Let q = 9 - 4. Let f(j) = q*o(j) - 3*z(j). Differentiate f(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(sqrt(432) + (sqrt(432) - 6*(-1 + sqrt(432)))))**2.\nAnswer: -14400*sqrt(3) + 173704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g**5 - 4176*g**4 - 5622*g**3 + 924*g**2 + 1875*g - 468 = 0. Calculate g.\nAnswer: -1, 1\/3, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 = -2*b + 2, 0 = 5*b - 25. Solve -4*w + a*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119007539.\nAnswer: 7, 103, 165059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 25*h + 4*u = 4, 0 = 3*h + 5*u - 5. Let x(n) = n**2. Suppose 3*z = -6 - 0. Let p be x(z). Solve p = -h*q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -32*t - 140. Let h be f(-6). Put h, -1, -5 in descending order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(10\/7)*(y*y\/((y**12*y)\/y))\/y*(y**(-2\/3)*y)**(1\/55) assuming y is positive.\nAnswer: y**(-11048\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/20 + ((-4645912)\/(-5))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135801724 to the nearest integer?\nAnswer: 11653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(266)\/(sqrt(7) + (-2*sqrt(42))\/sqrt(6)))\/(2*sqrt(128)*5).\nAnswer: -sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/190*5\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895523215 to the nearest integer?\nAnswer: 29925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 1358*w - 10821. Calculate l(8).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + r + 11 = -0*y, -34 = -3*y + 5*r. Calculate the greatest common divisor of y and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 2. Let g be s(-2). Let d = 10 + -8. Suppose d + g = r. Solve -r*o + 2 = 3*i, 2*o = -4*i - 1 + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 84, 115, 130, 123, 88, 19, -90?\n\"Answer: -u**3 + u**2 + 45*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 19 - 8. Let i(l) = l**3 - 1. Let b(d) = -d**3 - 3*d + 4. Give p*b(x) - 3*i(x).\nAnswer: -2*x**3 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - 31 - 5*i**3 - 45*i**4 + 7*i**4 + 33 + 3*i as l*i**2 + h*i + u*i**4 + r + b*i**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/4, 3, -123, -38, 1.3, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p + 7. Let w(l) = -41*l + 29. Let f(d) = -9*i(d) + 2*w(d). Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 457*y**2 - 847*y**3 + 849*y**3 + y - 464*y**2 - 134*y**4 as r*y**3 + i*y**2 + c*y**4 + t*y + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0329254 rounded to 2 decimal places?\nAnswer: 18.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - k**2 + 2*k - 1. Let h be l(1). Let i(p) = 0*p**2 - p**h + 3*p + 2*p - 3 - 4. Let c(w) = -3*w - 6. Let z be c(-4). Calculate i(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-5025\nAnswer: -50.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(162)\/(sqrt(27)\/(sqrt(15)\/sqrt(5))))\/(sqrt(66)\/(6*sqrt(11)*-1 - sqrt(11))).\nAnswer: -7*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1164, 1159, 1154, 1149?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59\/4 of a day?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2020215897 less than -533?\nAnswer: -531.7979784103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144925 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -900*i**3 - 45*i**2 - 15*i - 1050. Let w(d) = 2*d**3 - 3*d**2 - d + 1. Let a(h) = n(h) - 15*w(h). Differentiate a(y) with respect to y.\nAnswer: -2790*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24*87\/522*6\/40. Let m = 0.3 + -0.31. Which is the fourth smallest value? (a) -2 (b) -0.4 (c) f (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 14. Suppose -k + 2 = 2*g. List the prime factors of ((-6)\/10)\/(g\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 579\/45 + -5*10\/(-375). Let v(b) = -a - 14 + 51 + 4*b**2 - 24. Let h(f) = -44*f. Calculate h(v(d)).\nAnswer: -176*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 22*m**2 + 0 + 1\/3*m**5 - 4\/3*m**4 + 2*m**3 + 0*m. Factor l(n).\nAnswer: 4*(n - 1)*(5*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 9*j + 0 - 1\/9*j**3 + 0*j**2 + 1\/18*j**4. Factor u(t).\nAnswer: 2*t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 23*p - 38. Calculate the remainder when q(-12) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.273 - 0.4.\nAnswer: 2.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-8)\/(-5))\/4*(2 - -3) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -1 + sqrt(5)) + -4 - ((sqrt(20) + sqrt(5))*-1 + sqrt(5) + 3 + sqrt(45))**2.\nAnswer: -18 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37921.5 - 37921. Let o = -1 - -2. Put i, 5\/17, o in descending order.\nAnswer: o, i, 5\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -497352081\/1112 + 447259. Find the common denominator of k and 11\/48.\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -5, -14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219*x + 166*x + 189*x - 171*x to the form f + q*x and give q.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 406, 759, 1212, 1765?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -132. Suppose 14*m = w*m + 8712. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**5\/15 - y**3\/3 + 2*y**2. Let t(i) = -4*i**2 - 2. What is 3*r(b) - 4*t(b)?\nAnswer: 4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1070\/1327, 0.4, -4, 5 in decreasing order.\nAnswer: 5, 0.4, -1070\/1327, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 277487681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 779394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, u: 4}. Give prob of sequence uuux.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.264 - 2.264. Is y bigger than 37.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 27289614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/2 of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/58*1\/2\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 81.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042404 divided by -6?\nAnswer: -173734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(36))\/(sqrt(192) - (sqrt(192) + sqrt(192)*4 - sqrt(192) - sqrt(192))).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58942 is divided by 56?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (749\/38199*36\/14)\/((-3)\/(-21))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158442 is divided by 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/325052 and 123\/1400224?\nAnswer: 18202912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105011, 209124, 313237?\n\"Answer: 104113*a + 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((12\/(-10))\/1)\/((-3)\/30). Let k(u) = 3*u - 33. Let a be k(w). Find the first derivative of 54 - 19 - 11*q**3 - 4*q**a wrt q.\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:20 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(-4*u**4 + 3*u**2 - 3*u**2) + (-5*u**2 + 4 - 4)*(0*u**2 + u**2 + u**2) to q*u**3 + b + w*u + l*u**4 + o*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*9\/(-6) + 0. Suppose -2*f + 2*b = -46, -4*f + f = 3*b - 69. Suppose f = 4*c - g*c. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.5. Suppose 0*c - c - 2 = 2*i, -c = 5*i + 5. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000000001010110111 (base 2) to base 11\nAnswer: -816316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 157.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 640 = 20. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(2\/87))**(-17)*t*t**5*t\/t**(-5)*(t**1)**(-3\/14) assuming t is positive.\nAnswer: t**(14831\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2684, 2683, 2682, 2681, 2680?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11518 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173 - -175. Suppose q*r - 70 - 50 = -5*h, 0 = 3*r - 2*h - 199. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 3*y**2 - 2*y - 1. Let i(p) = -11*p**3 + 286*p**2 - 549*p + 268. Let z(u) = 2*b(u) - i(u). What is g in z(g) = 0?\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) -12 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 8 = 4*s - 2*w, 2*w = -2*s + 4. Let x(m) = -m**2 - 3*m + 10. Let r be x(s). Solve 4*k + 20 = -a, 3*k + r = k + 3*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*(-174)\/(-696).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) 0.09 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90888 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 33\/9)\/(8\/(-24)). Suppose -x*s = -31*s + 680. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 5. Let u(l) = l**3 - 11*l**2 + 33*l - 16. Let m be u(6). Give b(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -27*q + 3300. What is the highest common divisor of 198 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coooococococ. Give prob of sequence ccco.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178833?\nAnswer: 83, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(3) + 4 + sqrt(8) - -2*(0 + sqrt(8))**2 - (5 + (0 + sqrt(200))*-1)**2.\nAnswer: -205 + 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 7*w**3\/3 + 3*w**2 + 3*w + 587. Let o(b) = -13*b**2 - 11*b - 6. Determine 6*o(a) + 11*s(a).\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0552 - 1.9448. Let p(s) = 6*s + 20. Let r be p(-10). Let i = 19 + r. Put w, 3, 3\/5, i in descending order.\nAnswer: 3, 3\/5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2752.2962697 and -9.9.\nAnswer: 2742.3962697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2155 - -219.4845. Let m = -203 + u. Let y = m + -17. Put y, 4\/9, 4 in decreasing order.\nAnswer: 4, 4\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 540\/28 - (-4)\/(-14). Suppose 5*r = 2*n - t, 4*n - 3*r = 2*n + 13. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 3*y)*(1 - 2 + 0)*(-47 + 429 - 743).\nAnswer: 722*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -103, 1\/246?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b - b**2 + b**2 - 2*b**2 - b**2 + (0*b - 5*b + 3*b)*(-3*b + 2 - 2).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) + 4\/(-5). What is the nearest to 1 in l, 5\/4, 0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 - 2*i**3 + i**2 - 9*i + 6. Let w be d(6). Solve 3*t - 24 = -3*j, -16 = -5*j + w*t - 2*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17206, 68812, 154822, 275236, 430054, 619276, 842902?\n\"Answer: 17202*z**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((34\/20)\/(-17))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.695925 minutes in days?\nAnswer: 0.01923328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41901 - 255*f - 41902 + 257*f - 41905 + 125708 - 105*f**2.\nAnswer: -105*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 9*b + 11. Let d be (15\/6)\/((-2)\/(-4)). What is the remainder when y(-8) is divided by d\/10*(13 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.9, 0.5 in descending order.\nAnswer: 0.5, -1\/6, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/10*(19 + 70\/(-5)). Let g be ((d\/9)\/(-1))\/(2\/(-3)). Let c be (-9)\/(-8)*(-2)\/6. Put g, c, -23 in decreasing order.\nAnswer: g, c, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -673006, -1346059, -2019112, -2692165, -3365218, -4038271?\n\"Answer: -673053*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -51*m. Let o(a) = 3*a. Give o(h(b)).\nAnswer: -153*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-80 - -2) + (54 - 70) + 1 + -6\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 4*s + 4*s)*(-4 + 4 - 1)*(s - s - s).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.434313 - -0.434. What is n rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 + j + 2. Let s be t(3). Let h be (234\/(-255) - (-18)\/153)*-5. Suppose h*p - 4*a - 288 = 0, 2*p = s*p - a - 218. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494607241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 25*i**2 + i - 24. Let o be b(25). Solve 24 + o = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 753 - 537. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 1. Let p be s(15). Let x = p - 60. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*y + 18. Let k(x) = x**2 + 3*x - 1. Let v be k(y). Differentiate 2 - 27*u**2 - 9*u**3 + v*u**2 with respect to u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/(-25))\/(2\/5). Let q be (-2)\/1 + c + -2. Differentiate 2*b**2 - 3*b**q - 7 + 2 - 2 wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.475 + 0.4749605. What is i rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(l**2 + 4*l**2 - 4*l**2) + (-l + 0*l - l)*(-2*l + 2*l - 2*l) + 1 - 1 + 2*l**2 + 8*l**2 - 2*l**2 + l**2 + 4*l - 4*l - l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 63, 58, 39, 0, -65, -162?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, 1 f, and 1 b when four letters picked without replacement from {v: 1, b: 3, y: 2, f: 3, d: 3, w: 4}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*i - 3, 319*i - 3 = 3*h + 317*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433280 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75046, 300114, 675228, 1200388, 1875594?\n\"Answer: 75023*c**2 - c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -74537 times 4\nAnswer: -298148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*b - 4*k, 0 = -30620*b + 30621*b - k - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59884.64g in milligrams?\nAnswer: 59884640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 - 19*q**4 + 97*q**3 + 27*q**2 - 954*q + 1296 = 0. Calculate q.\nAnswer: -3, 2, 3, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28138 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - k - 19, 5*k + 9 = -3*p - 2. Let l(u) = -u**3 + 2*u**2 + 4*u - 1. Let x be l(p). What are the prime factors of 0 + 19 + x + -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2)*1 + 3 - sqrt(2)) + -1 + (6*sqrt(2)*1)**2.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 1\/11, 6\/2425?\nAnswer: 6\/2425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541891 + -247430. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*t**4 - 18*t**3 - t + 103?\nAnswer: -288*t**2 - 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 297957180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139233?\nAnswer: 3, 46411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 41641927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 246 + 11?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*j - 440 = 0, 0*j - 1 = j. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + x - 6*x)*((-5*x + 3*x + 0*x)*(2*x + 0 + 0) + x**2 - 4*x**2 - 7*x**2) to the form i*x**2 + a + q*x**3 + k*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, -95769, -1, 1, -3 in descending order.\nAnswer: 2, 1, 0, -1, -3, -4, -95769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 1. Let b(a) = -a**2 - 2*a + 1. Suppose o + 11 = -3*h, 8 = 2*h - 4*h. Give o*d(x) + b(x).\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/15 and 101\/196464186?\nAnswer: 982320930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a*(a**1\/a*a)\/a)\/a)*a*a))\/a*a)\/a**(1\/6))\/(a*a*a*a**(-2\/3)*a**6) assuming a is positive.\nAnswer: a**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:07 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2985228.3 months to millennia.\nAnswer: 248.769025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*1*-18)\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220386875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -44*r**2 - 121*r + 3. Let b(i) = -6*i. What is j(b(f))?\nAnswer: -1584*f**2 + 726*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1188)*-6)\/(sqrt(12)\/(2*sqrt(324))).\nAnswer: 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 42974*g**3 + 3*g**2 + 6*g - 23. Let h be t(-7). What is h rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108310141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 - 176*x - 529. Calculate the remainder when t(-54) is divided by 197.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:21 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4*d + 27. Let q be t(4). Suppose 4*m - 61 - q = 0. Calculate the greatest common divisor of 176 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 - 571191732*o + 571191732*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 4. Suppose -7 = -2*o - 5*x + 6, 8 = o + x. Suppose g + o = 3*y, 4*y = -3*g + 17 + 8. Calculate f(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 4*y + 15. Let x be q(-6). Put 0.3, -2\/5, x in descending order.\nAnswer: x, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:18 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13796054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 3, b: 3, e: 6, s: 3}. What is prob of sequence ssee?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117313*m**4 + 6*m**2 + 1 + 10*m**3 - 117133*m**4 - 8*m**2 to the form j + w*m**3 + v*m**4 + q*m**2 + c*m and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/11 and (14 + -22)*11\/(-20)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50658 divided by 6.\nAnswer: -8443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 21*a**3\/2 + 14*a**2 + 3*a - 2. Let y(v) = -62*v - 30. Let q(p) = 5*l(p) + 6*y(p). Differentiate q(h) wrt h.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 388 (c) -1\/6 (d) -0.1 (e) 0.04 (f) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -669879 divided by -1953?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 18. Suppose -3*t + 7 = -2*t. What is the least common multiple of t and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.06944 litres to millilitres.\nAnswer: 29069.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1080*r**3 + 3*r**2 + 5*r + 2. Suppose -3*y - 2*y - 3*d + 1 = 0, d + 1 = -3*y. Does 40 divide f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5581 = -3*t, -19*t + 7000 = -5*p - 18*t. Is p <= -1402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by (-24)\/(-132) + (-414)\/(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -338 and -27153 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h + 3. Suppose -3*u + 277 - 13 = 0. Let p(r) = -181 + 94 + u. Give -f(o) + 3*p(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26878, 102471, 228466, 404869, 631686, 908923, 1236586?\n\"Answer: v**3 + 25195*v**2 + v + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -289.93 times 1022\nAnswer: -296308.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -924*i**3 - 55*i**2 - 55. Let r(q) = 66*q**3 + 4*q**2 + 4. Determine -4*h(z) - 55*r(z).\nAnswer: 66*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 14 = 113. Let j = m + -20. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55798854?\nAnswer: 2, 3, 2557, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 16. Let q(c) be the third derivative of -c**4\/24 - c**3 - 17*c**2. Let h(g) = 3*m(g) + 8*q(g). Let s(x) = 2*x**2 + 61*x. Give s(h(l)).\nAnswer: 8*l**2 - 122*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10405\/2 + 5300. Let t = y - 95. What is the smallest value in t, 1.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.02 in 4\/5, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1197*m**2 - 105*m - 105. Let u(k) = 23*k**2 + 2*k + 2. Calculate -4*q(p) - 210*u(p).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Suppose 4*s = -5*a + 22, 2*s + 1 = -4*a + 15. Let f be 0\/(-4) + (0 - 0). Let l(y) = y + a*y + f*y + y. What is l(b(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -8. Suppose 2*s - 138 = -d. What is the remainder when s is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 74 = -100. Solve -4*w = 5*g - 7, w + 9 = -d*g + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -20366414?\nAnswer: -20366416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 12 = -3*v. Suppose -u = v*u. Solve 4*b + 20 = -2*k, 2*k = -u*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + (-5 - 1))*138 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/30 - f**3\/6 - 4*f**2 - 2*f - 7. Let z(x) be the first derivative of w(x). Let p be (-3)\/2*2\/(-3). Give z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 - 1 - s + 2*s + 0. Let a be n(0). Let k(p) be the third derivative of -p**4\/8 + p**3\/6 + p**2. What is k(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 291 and 23571.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -303124 (base 5) to base 8\nAnswer: -23075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 238108946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5606785 or -16820359\/3?\nAnswer: -16820359\/3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 260?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 4*h**2 + 5*h + 4. Let i be n(-5). Suppose -3*v + 10 = j, 0 = -0*v - 4*v - i. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1434 + 261 = 0. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*p + 32 = 13, -3*p + 12 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 30240 = 35*p. Is p a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/92 - -57\/92. Which is the nearest to 1\/3? (a) g (b) -248 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 469*c - 89. What is t(0)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -420.847447854+47\nAnswer: -373.847447854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/4 + 3*d**4\/2 + 9*d**3\/4 + d**2.\nAnswer: d**2*(d + 1)**2*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 48. Let o(c) = c**2 - 13*c + 17. Let t be o(f). Suppose 10 = 4*m + t*h, 2*m + m - 5*h + 10 = 0. Sort m, -3, 4.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 2*f + 20. Let u be i(-8). Let o = 72 - u. Suppose o*t - 496 = -0*h + 4*h, 5*h - 10 = 0. What is the highest common factor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -18*b**2 + 695*b - 5006. Calculate s(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 - 5*d**3 + 1\/4*d**4 + 0*d + 44*d**2. Let z be l(7). Solve -3*v - v = z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5858275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqr when three letters picked without replacement from {q: 1, w: 4, u: 7, r: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -379, -568, -743, -898, -1027, -1124?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.93 + 0.07. Let o = q + -5.2. Let t be (-1 - (-2 + -2))\/(-8). Which is the second biggest value? (a) t (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/2 - 30*q**2 - 47*q\/2 + 354 = 0. Calculate q.\nAnswer: -59, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 5:07 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46879 divided by -2?\nAnswer: 46879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 10 = 5*t, -t - 631 = 3*r - 616 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 - 1. Let s be m(1). Suppose s*a - 1008 = -108. Suppose 5*l = -5*b + a, 2*b - l = -3*b + 162. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 207, 1606, 5331, 12540, 24391, 42042?\n\"Answer: 193*q**3 + 5*q**2 + 33*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367073232 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6480 divided by -120\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/4*2\/(-3). Suppose -w + 6*w - 41 = d, -r*w = -2*d - 19. Suppose -2*k + w = -11. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*1820\/3822*7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*m**4*o**2 - m**3*o**3 - 214*o**3 wrt m?\nAnswer: 148*m**3*o**2 - 3*m**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(1 - (-35)\/(-37)). Suppose 3*f = -0*z - 5*z + 70, z - l = 4*f. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*r - 45 + 45 as c*r + f and give c.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 2*b**3 - 3*b**2 + b**2 - 3*b - b**3 as u*b**3 + g + p*b + a*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((12 + -6)\/6 - 2)*-4. Let z(b) = 9*b + 2. Let u be z(3). Suppose 2*p - q - 2*q = u, 62 = x*p - 2*q. Do 16 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*w = -1, w = u - 2*u. Let d = u + -6. Let y = -0.06 + 0.26. Which is the nearest to y? (a) -2 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 4. Let y = 15 - i. Let q = y + -6.65. What is q rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 22 - w - w**2 - 23 + 7. Let p be t(-3). Solve p = 2*q + 2*x - 8, 0 = -2*x + 2 - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7173 and 13866?\nAnswer: 33153606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 519931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 149747659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let c be (6\/(-10))\/(q\/(-5)). Solve -6*l = -2*l + 3*f + 16, 3*l - c*f - 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 656*f + 27. Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.136716*0.2\nAnswer: 0.0273432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 40*h**2 - 69*h + 272. Let w be c(-38). Solve 7 = -w*a + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x + 65. Let c be 0\/3 + 18 - 5. Let n be w(c). Let u(i) = -i**2 + i - 3. Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 15*u - 4. Suppose 2*s + 2*t - 18 = 0, 5*t - 4 = 3*t. Let z be f(s). Which is the nearest to 2? (a) -0.5 (b) z (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4 + (-17)\/(-8))*(-76)\/190?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:53 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 7)\/((-3)\/(-2)). Let u(r) = -j*r**2 + 0 - 5*r + 8*r**2 - 2. What is u(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*s + 12 = 2*n, -5*s = 0. Let r be n\/4 - 22\/(-4). What is the third derivative of -t - t**4 + 5*t**2 + t - r*t**2 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*k + 22 = 0, 4*g - 14 + 16 = -3*k. Let f = -4.08 + 0.08. What is the third smallest value in -25\/4, f, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1019793 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (105\/(-25) - -4)*(-4 - -4). Suppose 0 = -3*n - 5*y + 10314, z = -n + 6*n + 5*y - 17180. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.5. Let o = 0.9 - -0.1. Is o <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2*(-5)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 4 + (-55)\/40. Put -0.2, -6, -5, z in decreasing order.\nAnswer: -0.2, z, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2130460, -2130450, -2130440, -2130430?\n\"Answer: 10*t - 2130470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + u. Let k(b) = b**3 + b**2 - b - 1. Let v be k(-1). Let m(l) = -3*l**3 - 5*l**3 + 4*l**3 + v*l - l - 2. Determine -m(y) - 3*w(y).\nAnswer: y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 16. Let s = t + -19.03. What is the nearest to 1 in s, -4\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26399 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -3 + 0)*60\/(-140). Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14487*q**5*v - 3*q**5 - 3*q**2 + 449298*q*v + 11 wrt q.\nAnswer: -289740*q**3*v - 60*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(8\/(-6)))\/((-39)\/(-156)). Suppose -f*b - 4*j = -9*b + 1053, -5*b + 1784 = 3*j. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.18 + 15. Let p = 19.18 + y. Let j = 19.00000021 - p. Round j to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/21)\/((-32)\/(-336)))\/((-6)\/14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/292 and -71\/160.\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -1687.80655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33215)\/(-598))\/35 + 2\/(-23).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26 - 16*g**2 - 7*g**2 + 5*g**2 with respect to g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 9. Let r = v - -4.4. Let b be ((-4)\/(-42))\/(2\/3). What is the closest to 2 in 0, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-1)*(-2)\/15. Suppose 0*j = 3*j - 3. Are u and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + 111?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-5)\/2 + (-42)\/21. Is -13285*(46\/(-15) - -3)*x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 29*s**3 + 7*s**2 + 3*s - 5. What is the thousands digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d, -3*d + 8 = -4*y - d. Factor 1\/4*o**3 + y + 0*o**2 - 1\/4*o.\nAnswer: o*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 4. Let k = 0 - w. Which is the biggest value? (a) k (b) 2\/15 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32339010 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298625569?\nAnswer: 3, 47, 101, 173, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:34 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**4 - 18*u**4 - 47*u**4)*(-u + 4 - 4)*(2 + 3 - 4) + u**5 + 0 + 0.\nAnswer: 74*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 2277*h**2 + 576081*h + 48582831.\nAnswer: 3*(h + 253)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -4. Suppose -s*z - 2 - 3 = 0. Let h be 1 + 1 + 36\/(-15). Does z = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-1 + 0))\/(-2). Suppose v*f = 5*f. Suppose 0 = -f*y - 3*y + 3. Is y at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 14*i**2 - 15*i - 3. Let m(j) = j**3 - 5*j**2 + 5. Let t be m(3). Does 7 divide s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:23 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2973 by -3.\nAnswer: -991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.99999865 + 54. Round p to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.4 + -166870371059?\nAnswer: -166870371047.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -5*n + 280. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0, -507, -7?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 11:02 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + 1)*(-3)\/(-10)*-1. Solve 2*z + y*c - 5 = 2*c, -2*z + 3*c + 17 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 343, 360, 393, 448, 531?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8454960 divided by 352290\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4152976981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4 - 4 - 13*h + (-1 - 5 + 4)*(2*h + 5 - 5).\nAnswer: -17*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044402285 to the power of 1\/2, to the nearest integer?\nAnswer: 55176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16094304 is divided by 2952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 64 = -4*t - 0*t, 4*t - 65 = 3*i. Suppose -50 = -v - 12. Suppose -5*h + v = -287. What is the remainder when h is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2400750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/336 and 75\/56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/5 - (-2)\/5. Let x be f\/(-9) + (-8)\/(-3). Find the third derivative of -a**3 + x*a**3 + 0*a**3 + 3*a**2 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - ((-3569)\/172 + 8))\/(2\/(-48)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 77\/(-63) - -9 - (-4)\/18. Solve f - 5*r - 26 = 0, r - 3 + x = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u - 83*u = -159*u - 114 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/6 + 1*(-1804)\/1845*(-6)\/(-16)\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/7 - 20*j**2\/7 + 26*j\/7 + 44\/7 = 0. What is j?\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 183 (c) 43.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203792 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a - 2*a**2 + 55*a - 337 + 366. Let h be k(23). Let v be h\/9 - (-44)\/33. Solve f = 3*c - v*f + 9, 3*c + 3*f = -21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833673604.\nAnswer: 2, 277, 752413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2320, 4, -1, 1 in descending order.\nAnswer: 4, 1, -1\/2, -1, -2320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*m**2 + 3*m**3 - 392*m**2 - 394*m**2 + 105*m**2.\nAnswer: 3*m**3 - 934*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433706 divided by 13?\nAnswer: -1433706\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + 311. Let o = -359.156 + w. Round o to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87839489 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Let f(d) = 8*d**2 + 2037*d. Determine z(f(y)).\nAnswer: -16*y**2 - 4074*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -26.4. What is the closest to -2 in 4, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/21)\/(4\/(-6)). Let b = -20 + 32. Suppose 3*q - b = -0. Solve -q*p + 21 + x = -5*m, -p + 13 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = -3*h, -5*h = -157*x + 161*x - 25. Solve -16 = -3*f - 5*q, 16*f - h*q = 15*f - 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, f: 2, n: 2, a: 5}. Give prob of sequence tn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1855840683 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -110583 divided by 610?\nAnswer: -110583\/610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 15*z + 4. Let v(x) be the second derivative of x**4\/12 + 4*x**3\/3 - x**2 - 2*x + 230. Calculate -3*j(y) - 5*v(y).\nAnswer: y**2 + 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 3, u: 4, b: 1, e: 2}. What is prob of picking 1 b and 2 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yar when three letters picked without replacement from {y: 1, x: 1, a: 1, j: 1, r: 2, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 14756, 3, 15 in descending order.\nAnswer: 14756, 15, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/(-175))\/((-2)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 40*r**2 - 60*r + 941. What is i(39)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/s**(2\/3)*s\/(s**8\/s)*s**17*s assuming s is positive.\nAnswer: s**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 350, -29, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 1, 3*s - 15 = j + 46. What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1541 - 1543. Let y(o) = -11*o. Let r(j) = -13*j + 1. Let z(f) = 5*r(f) - 6*y(f). Determine z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58988)\/(-14) + 21\/(-49) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10054 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 54*w + 57*w - 12 = 0, -5 = 5*l - 4*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 4*w**2 + w**2 + (2*w + 2*w - 6*w)*(0 + 2*w + 0) - w + w + 3*w**2 + 2*w**2 + 0*w**2 + 0*w**2)*(4 - 4 + 2*w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 + -0.4. Let w be 0 + 1*-2 + 2. Let r = -6.9 - -9.9. Which is the nearest to r? (a) w (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 6}. What is prob of sequence cfcf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546 = -86*x - 6303 + 1517 for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 92454208*u - 534236286056704 = 0. Calculate u.\nAnswer: -11556776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 250199 (b) -6\/17 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -8\/15 (b) -1 (c) 6 (d) -4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -7 (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/2 - 133650729*t - 17862517362231441\/2 = 0.\nAnswer: -133650729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1172 + 1171. Which is the third biggest value? (a) 8 (b) u (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00460488 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*v**2 - 3*v**3 + 1165*v + 6 - 1168*v in the form m*v + n + q*v**3 + l*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 13. Let f(u) = u**3 - 20*u**2 - 21*u. Let g be f(21). Give j(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3\/5 - 32028*r**2\/5 - 17115747*r - 102464010 = 0.\nAnswer: -5335, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35437 or 35439?\nAnswer: 35439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Suppose -4*z - z - d = -13, 17 = 3*z - n*d. Solve 10 = -5*x + 35, 0 = -2*s - z*x + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 4 - (1 - -64). Let m = 99 + j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g**5\/3 + 48*g**4 + 376*g**3\/3 - 44*g**2\/3 - 130*g - 100\/3 = 0. What is g?\nAnswer: -5, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4612\/8071)\/(1*(-10)\/42)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:45 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -236 - -234 - (1 + 0 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvkvsz. What is prob of sequence vkzv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let h(q) = -13*q - 1. Determine -6*d(m) - h(m).\nAnswer: 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10926 - -15537. What are the prime factors of s?\nAnswer: 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2*j**2 + 2*j - 2. Let i be m(4). Let g = i - 14. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225 - -105. What is the common denominator of (-1)\/(-5) - (-1299)\/v and -67\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-12) - (-2)\/(-12)*6. Let k = 35 + -139\/4. Which is the nearest to p? (a) k (b) -5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -809*s - 1615. Let m be w(-2). Let o(p) = -p**2 + 2*p - 3. Let j(y) = -y + 2. Suppose -3 = z - 5. Determine m*j(v) + z*o(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + (29 - 25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2639 and 4872?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 197, 295, 393?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 29 = -3*u - 5*g, 4*u - 2*g = 4. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5\/5 - 4*o**4 - 108*o**3\/5 - 64*o**2\/5 + 106*o\/5 + 84\/5 = 0.\nAnswer: -3, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 11. Let j(c) = -c + 23. Let n(q) = -11*i(q) + 6*j(q). Suppose -4*h + w + 27 = 0, 5*h + 5*w + 0*w - 40 = 0. List the prime factors of n(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385880 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011000010000001110 - -101000?\nAnswer: 101011000010000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 224823838 + 1069893388 = 0. Suppose l + 406893045 = 18*b. What is b rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/120)\/((-32)\/256)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6347 - 789 = -s, 14*s - 99859 = -5*b. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516492 divided by -6.\nAnswer: 86082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -409, 2, 54, -8, -2 in increasing order.\nAnswer: -409, -8, -2, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 419580 divided by -4?\nAnswer: -104895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**3 - 1 - 2 + 3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 223787706 divided by -6\nAnswer: -37297951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 16 = -0*k - 2*k, -2*z + 2 = -4*k. Let p be 8*k\/(-4) - -136. Suppose 5*d = p - 15. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002387427 to 5 decimal places.\nAnswer: -0.00239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + 3 + 0 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6879 + -4356. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/126*7)\/(4\/1 - 3)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -8*g + 142. Let o be (4\/(-3))\/(g\/(-33)). Let x(s) = 24*s**2 + 6*s + 2 - 49*s**2 + 27*s**o. Give x(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a factor of 58327485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*f**3 - 1828*f**2 - 3608*f + 400.\nAnswer: 2*(f - 50)*(f + 2)*(19*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 5 = -23*l, 2*r + 93 = -l. Let u be r\/12 - (-9)\/(-27). Put u, 1, 0.3 in descending order.\nAnswer: 1, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -463.\nAnswer: -46.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 177*w - 2488. Calculate i(71).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-11)*(-16)\/(-40).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*z = 5*a - 11, 2*a - z - 9 = 0. Is ((-1004)\/a)\/(-4 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616 and 228464698.\nAnswer: 913858792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-5))\/(78\/7215*37)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -x + 5*x. Suppose 0 = 2*l - 3*d - 54, 2*l + 0*d = 2*d + x. Suppose 0 = m - 3*n - l, 18 + 2 = m - 2*n. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10000102.600069 + 10000109. Let o = -6.4 + n. What is o rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207 + 72 - 9 + 31)*(0*q**4 + q**5 + 0*q**4).\nAnswer: 301*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002437 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 457 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -u + 2, -2*u = y - 8. Let c = -8 - -12. Suppose 2*x + 38 = g, u*g - c*g + x + 36 = 0. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144891 = 4*p - 5*n - 232812, p + n = 94437. Let z be (-1 - 92705)*16\/3. Let d = z + p. What is d rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*((-4)\/30)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Suppose -o*u + 5 = -10. Suppose -3*j - u = -d + 6, 4*j + 20 = 4*d. Solve -12 = -4*b + f, b + d*b - f - 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 11:27 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*h = -54, 2*q - 4*q - 2*h + 34 = 0. Does 3 divide (-1 - 6) + (309 - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) + 1*sqrt(143)*3)) + sqrt(143) + 1*(sqrt(143)*2 + sqrt(143)))\/(-4*sqrt(704)).\nAnswer: -sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - ((-16)\/(-3))\/(10\/(-15)). Suppose a*i + 5*w = 84, 8*w - 3*w - 112 = -4*i. Solve -3*s = -3*f - 0*s + 6, -4*s = 5*f - i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m + m + 6*m)*(4 - 1 - 1 + (6 - 5 - 2)*(2 - 3 + 3) + 0 - 4 + 2).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(((-148)\/8)\/(-37))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v + 479*v - 26482 = 11402 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22555224195 - -2?\nAnswer: 22555224197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1)*(-1)\/(-2). Suppose -2*x - 7*x = i. Solve 4*w = 5*p + 9, x*p - 4*w = -3*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 3. Let s(w) = -2*w - 4. Let h(v) = 4*f(v) + 5*s(v). Let b be h(15). Let n = 28 + b. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 29115614.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffuv when four letters picked without replacement from {u: 4, f: 6, g: 1, v: 7}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19219, 38428, 57639, 76852, 96067, 115284, 134503?\n\"Answer: i**2 + 19206*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -11)*3\/4. Let s = 1 + 1. Suppose -s*v - v = 0. Solve x*m = -v*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 35 + 126*t**3 - t**4 + 14*t - 14*t to z*t**4 + y*t**3 + w + p*t + j*t**2 and give y.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 1248 = -2514. What is the smallest common multiple of 18 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = -353 + 326 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -90, 8, 4, 5, 16, 3 in decreasing order.\nAnswer: 16, 8, 5, 4, 3, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -14954 + 14954 - 2*d**2. Let n(q) = -3135*q**2 + 95. Let y(l) = 98*l**2 - 3. Let r(c) = -3*n(c) - 95*y(c). Determine p(r(x)).\nAnswer: -18050*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 - 30 + 30 + (w**2 - 3*w**2 + w**2)*(2*w + 3 - 3) + (0 + 0 - 1)*(22*w**3 - 11*w**3 + 4*w**3).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.74 + -0.26. Let d(u) = -u**3 + 3*u**2 + 2*u - 3. Let t be d(3). Put -4, b, t, 4\/7 in descending order.\nAnswer: t, 4\/7, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 890 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 4*o - 1 - 3*o**4 + 2*o - 4*o + o**2 as x*o**2 + m + s*o**4 + z*o**3 + i*o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/21)*i*i**(-2\/29)*i assuming i is positive.\nAnswer: i**(1234\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*c + 1675 = 690*c - 3914 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 972 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + sqrt(16)\/sqrt(2) - (sqrt(128) - (-1 + sqrt(128))).\nAnswer: -1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654450713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, v: 3, z: 5, e: 1}. Give prob of picking 2 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21805, 43509, 65213, 86917?\nAnswer: 108621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 14 - 2 = n, -3*n = -3*z + 12. Let h be (-4)\/(-4 + z + -6). Let b be (h\/(-10))\/((-1)\/5). Is -2\/7 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12*w**3 - 1332*w**2 + 1. Give o(-111).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*o - 2 = 3*n + 110*o, 4*n - o - 13 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5744.211g in milligrams?\nAnswer: 5744211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123542501.\nAnswer: 123542501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*w - 6. Let h be 3\/(1 - (-4 - w)). Let j = -62 - -66. What is the nearest to 0.1 in j, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-226)\/8 + (-1)\/(-4). Let u be ((-63)\/(-14))\/(3\/6). What is the units digit of a\/42*u\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = o + 3*p, -14 = o - p. Sort o, 5, -3, -4.\nAnswer: o, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*b - 12. Let a(r) = r**3 - 3*r**2 - r + 3. Let m be a(b). Solve -2*l + m = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12110 rounded to the nearest one hundred?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -1, -26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/3, 7, 151\/10, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 743 - -52?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(9*y + 0*y - 3*y) + ((4 + 0 - 2)*(0 - 3 - 1) + 4 - 5 + 0)*(10 + 13*y + 3 - 14).\nAnswer: -123*y + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -m + 16, 5*m - 10*b = -9*b + 56. What is the highest common factor of m and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -10828360, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(1250))**2*3 + -2 + 1 + -4 + (sqrt(128) + 1 - sqrt(128)).\nAnswer: 150*sqrt(2) + 3745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 4.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-666)\/(-777))\/((-57)\/(-133)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -52*c + 66*c. Put 3, c, 48 in decreasing order.\nAnswer: 48, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = -3*q, 3*q = 2*a + 1 - 11. Let p = -143 - -2144\/15. Let g = p + 7\/15. Sort 1\/2, g, q.\nAnswer: q, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -598*o**5 + 5*o**2 - 9?\nAnswer: -35880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 1 - 2*g + g)*(7*g**2 - 29*g**2 + 8*g**2) as s + o*g**2 + k*g + n*g**3 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*c + 1871798 = 1897106 for c.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**4 - 397 - 2*c**2 - 37*c + 7*c**2 - 397 + 794 to the form x*c + o*c**4 + j + f*c**3 + t*c**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 63*u + 2. Let p(t) = 3*t**2 - 64*t + 3. What is -4*p(j) + 5*s(j)?\nAnswer: -2*j**2 - 59*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -34*x - 480. Is -81 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -23, -4, 2, 173?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g + 103 = t, 3*t + 111 = -g. Let k = -101 - g. Suppose 3*b + 8 = k*o, 6*o - o - 11 = 4*b. Put -0.04, -5, -4, o in increasing order.\nAnswer: -5, -4, o, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/4)*t)\/t)**(1\/15)\/(t\/(t*t**16\/t)*((t*(t\/(t**(-2\/37)*t))\/t*t)\/t)\/t*t))**3 assuming t is positive.\nAnswer: t**(33069\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {p: 6, n: 2, r: 1, c: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -5. Suppose 51*g - 231 = 14*g - 231. What is the closest to g in l, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -349, 0.5, 0.0458, 2\/5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a - 24. Let s be d(-9). Let b = s - 44. Suppose 8*p - 6 = -4*x + 3*p, 2*p = b*x - 20. Calculate the smallest common multiple of 44 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 155610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(300) + 5 + sqrt(300) + (sqrt(300) - (sqrt(300) + 2)*5))**2.\nAnswer: 360*sqrt(3) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(25) + sqrt(25) + (sqrt(275)\/(sqrt(11)*3) - sqrt(25)) - sqrt(25)) + sqrt(25))\/((sqrt(120)\/sqrt(2))\/sqrt(12)) + 5)**2.\nAnswer: 40*sqrt(5)\/3 + 305\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1847, -3640, -5435, -7232?\nAnswer: -9031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19590343?\nAnswer: 3229, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6247, -6079, -5799, -5407, -4903, -4287, -3559?\n\"Answer: 56*r**2 - 6303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.025 (c) -0.934\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/20? (a) -2\/11 (b) 28 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 2:19 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:57 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18512735 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-33)*((-408)\/238)\/(-8*4\/(-2688))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 121*i**5\/60 - i**4\/24 + 61*i**3\/2 + 511*i**2. Find the first derivative of v(c) wrt c.\nAnswer: 242*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:44 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 18}. What is prob of sequence ej?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.86346km to nanometers.\nAnswer: 2863460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3085421?\nAnswer: 3085421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -39 + 2. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*b + 5 = c, 0 = b + 5. Let u(d) = -51*d - 1. Suppose 5*k - 3*l - 80 = 0, -7*k + 3*l + 2 = -8*k. What is the remainder when u(c) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 39. Let k be b(15). What is the greatest common divisor of k and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11651831\/80 - -145661. Let y = 211\/20 - b. Find the common denominator of -17\/18 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 2 - 2*x - 3. Calculate the remainder when 57\/(-76) - 1\/4*-155 is divided by j(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32782 is divided by 4657?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 424 - 406. Solve g = 5*x - 5*u - 2, 5*u + 16 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/60 - o**5\/6 - 3*o**4\/8 - 351*o**3\/2 + 2022*o**2. What is the derivative of i(d) wrt d?\nAnswer: -6*d**2 - 20*d - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7703, -61384, -207033, -490634, -958171, -1655628?\nAnswer: -2628989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9164 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)\/(((n\/n**(-3\/5))\/n)\/n))\/(n**(5\/4)\/n**(4\/17)) assuming n is positive.\nAnswer: n**(301\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.355511 + -451.386811. Let t = h + 445. Round t to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/3, -0.3, -274, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 401*t**2 + 357*t**3 - 815*t**2 + 416*t**2 as h*t**2 + l*t + x*t**3 + p and give x.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82672 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6126 + -0.4.\nAnswer: 6125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, -508589 in descending order.\nAnswer: 22, -5, -508589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 9. Let i be b(7). Suppose -i*a = -1 - 9. Let m be (a\/(-2))\/(1\/3). Sort -8, m, 1 in ascending order.\nAnswer: -8, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 57072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54085275 and -16.154.\nAnswer: 54085258.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2212515 and 1215.\nAnswer: 2212515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 1. Let b be 1 - (-6)\/2 - 0. Let s(c) = -4*c + 1. Let z(u) = u**3 + 10*u**2 - 4*u - 35. Let g be z(-10). Give b*s(x) + g*f(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuzf. What is prob of picking 1 f and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, 3, 0, 5, -1 in ascending order.\nAnswer: -209, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.129266 to 2 dps.\nAnswer: -50.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-339)\/(-6) - 1\/2. Let s(n) = -n**2 - 6*n + 8. Let g be s(-6). Calculate the highest common divisor of g and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 2. Let i(u) = 7*u - 7. Let q(r) = 6*i(r) - 22*o(r). Let d be q(-4). Suppose -d*p + 6*p + 136 = 0. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -35. Suppose 2*t + 100 = 6*t. Let b = -23 + t. What is the least common multiple of k and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 42*x - 9 + 34*x - 66*x + 10. Let g(i) = -7*i**2 + 4*i. What is g(z(d))?\nAnswer: -700*d**2 - 100*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 (base 9) in base 3?\nAnswer: 2120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 9*m**2 + 14*m - 15. Let v be h(10). Suppose 3*z + 3 = 2*a + 18, -5*z + v = 4*a. Solve 4*j + 2*u + 16 = a, 2*j = 2*u - 4*u - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-10 + (-2 + -4 - -5 - 11 - -100)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25 + 1 + (-7 - -11). Suppose -8*w = -13*w + i. Solve -2 = -4*q + w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3, -3, -5, 1.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 + -168. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-489)\/(-12) - (-1)\/4. Suppose -5*i + 4*a = -w, -6*a + a + 50 = 5*i. Factor 24*p**2 + 6 + p**3 - 6*p**4 + 12*p - 3*p**5 + 5*p**3 + i*p.\nAnswer: -3*(p - 2)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 136*k**2 + 700. Give a(0).\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Solve d*f + 10 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8931, 8842, 8753, 8664, 8575?\nAnswer: 8486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -127898?\nAnswer: 127898.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/56*6)\/((-13720)\/9604)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5336 and 122438?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(467*h + 301*h**2 - 466*h + 6 - 5) + (-4*h - 1 + 1)*(-2*h + h - h).\nAnswer: -895*h**2 - 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = 16. Let s = p + 25. Let f = 51 + -23. Solve v + s = -i, -3*v = 5*i + 7 + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439 + -443.27. Let l = -4.2203 - s. Round l to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(19) + 0 - (-1 + (sqrt(19) - 2*sqrt(19))**2)) + 1*(sqrt(475))**2*6.\nAnswer: sqrt(19) + 2837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31\/(-2)*2*-7. Let p be (-15)\/(-9) + 2138\/6. Suppose 5*j - z = p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25578, -65, 4 in decreasing order.\nAnswer: 25578, 4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*c**3 + 229*c**2?\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/8 - -5\/8. Let h = -5331.1 - -5990. Let y = 659 - h. Sort w, y, -0.3 in increasing order.\nAnswer: w, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(2))**2 + (-2*sqrt(70))\/sqrt(10).\nAnswer: -2*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4240 and 17308740.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/95796 and -29\/47898.\nAnswer: 95796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-7))\/(d\/(d\/((d\/(d*d**(-2\/9)\/d))\/d))*d*d))**15 assuming d is positive.\nAnswer: d**(-370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**9\/60480 - t**8\/20160 + t**7\/5040 - t**5\/12 - 8*t**2. Let k(a) be the third derivative of s(a). Determine k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 719717, 2878898, 6477537, 11515634, 17993189, 25910202, 35266673?\n\"Answer: 719729*u**2 - 6*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3634 is divided by 908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*i**6 - 23*i**4 - 608*i**2 wrt i.\nAnswer: -1440*i**3 - 552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21030535 (base 6) in base 5?\nAnswer: 124014434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*m + 4, -6 = 9*p - 11*p + 5*m. Suppose -4*d + 820 = 4*i, 2*d - 614 = -p*i + 5*i. Calculate the highest common factor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86791417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10)*n**(-7))\/(n**(-5\/2)\/n**8))**(-6\/23) assuming n is positive.\nAnswer: n**(39\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -74, -52, -16, 40, 122, 236, 388?\n\"Answer: n**3 - 2*n**2 + 13*n - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 4) + (-19)\/(-3). Which is the nearest to 1\/2? (a) 0 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10110967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(((-30)\/3)\/5). What is the highest common factor of j and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1565 = 580*z + 405. Sort -3, -4, z in increasing order.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046608 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3789 - -0.5.\nAnswer: -3788.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = p. Let q = -1 + 16. Let k be (5\/q)\/((-2)\/(-12)). Solve p + 9 = -k*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*a - 168. Let w be (-8)\/a*7\/(-1). Solve 2*r + 2*z = -8, -w = z + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003 greater than or equal to 36022\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3358287\/7294 - -415\/521. Let h = -461 + q. Let d = -345 + 34501\/100. Calculate the common denominator of h and d.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*a**2 - 7*a**3 + 60*a**3 + 48*a**2 - 1 + 2*a**4 - 24*a**2 to the form y + m*a**4 + p*a + v*a**2 + d*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -81*k. Let n(u) = 122*u - 2. What is n(b(t))?\nAnswer: -9882*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209 - -391. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2568*l + 7. Let b(y) = 91*y. What is b(r(a))?\nAnswer: 233688*a + 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -64, -89, -130, -193?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*l**5 + 0*l**2 - 462\/5*l**4 - 53361\/5*l**3 + 0 + 0*l.\nAnswer: -l**3*(l + 231)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92*j - 105*j + 103 + 132*j wrt j.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 1\/60*i**5 + 7*i**2 + 0*i - 1\/12*i**4 + 0 - 1\/3*i**3. What is y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-4*n + 3*n + 0*n) + (0 + 2 + 0)*(53 - 13*n - 53).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 29. Suppose u = 5*g - 1671 - 1334. Suppose -m - 5*z + 125 = 0, 0*z - g = -5*m - z. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129630212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 3*s - 2. Let g be k(-6). Let b = g + 36. Let o = -30 + 60. Calculate the remainder when o is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, u: 14}. What is prob of picking 1 u and 1 c?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -0.2. Let t = 27 + -38. Let a = -9 - t. What is the nearest to -1\/4 in a, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 7*k**2 - 9*k - 2. Let u be c(7). Let r = -35 - u. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-74)\/(-14))\/(857660\/13832 + -62)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*t*v**2*x**3 + 367*t*v**2 - 5693*t*v*x**3 - 4*t*x**3 - 2*v**2*x wrt v.\nAnswer: 278*t*x**3 + 734*t - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 2*u - 3*u)*(-u - 2*u + u) + (-39 - 4 - 39)*((-u - 2*u + 5*u)*(5*u - 2*u - 4*u) + 0 + 0 - u**2) to the form g*u**2 + i*u + p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in -1\/3, -0.5, -3.8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088 = -4587*f + 4326*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 80 and 1728.751.\nAnswer: 1808.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8308514 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 12\/5*j**3 + 0 + 4*j**4 - 68\/5*j**2 - 4\/5*j**5 + 8*j = 0?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -23*g**3 - 13*g**2 - 89*g - 390. Calculate the remainder when w(-5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199086.\nAnswer: 2, 3, 33181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -1\/4, 1, -153?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3400 and 30634.\nAnswer: 3063400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = 12. Let i = -299.6 - -300. Which is the closest to d? (a) i (b) 0.3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (8 + (-25 - -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 17. Determine j(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*q + 13*q + 19*q)*(-1 + 4 + 0) as a + s*q and give s.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16140802 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.053 and -0.05.\nAnswer: 0.00265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -937 - 815 = -6*t. Solve t*z - 60 = 282*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531*o = 538*o - 21. Put -5, -17, o in decreasing order.\nAnswer: o, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -e?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**5*l*l)*l**(1\/9)*l*(l**(-2\/9))**7)\/(l**(1\/3)*(l\/l**(-1))\/l*(l\/(l\/((l\/(l*l**(-5)))\/l)))\/(l*l**(-2\/5)*l)) assuming l is positive.\nAnswer: l**(-458\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3274 by 2.\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4042524191?\nAnswer: 41, 47, 2097833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210410310 + 3?\nAnswer: 210410313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12058 + 0.02877. Let n = h - 0.15. What is n rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 - -123. Solve 5*a = z*q + 6, 5*a = -5*q - 30 - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 1.6. Put s, 5, 2 in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g**4 - 5*g**3\/3 - 4. What is the third derivative of d(a) wrt a?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. What is the least common multiple of i and (-165)\/5*5*16\/(-120)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, f: 1, g: 1, d: 1, t: 5}. What is prob of sequence gtft?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/16 and (-206)\/(-44) + (-6 - -6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/64 + 39\/(-4). Is (83\/2)\/(-5 - 55\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a8 (base 15) in base 14?\nAnswer: -558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9434613 is divided by 133.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1356, -1436, -1516, -1596, -1676?\n\"Answer: -80*z - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = 4*q - 5*n, -13*q + 22*q = 2*n - 9 + 105 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -j. Let s(m) = 3*m**2 - 25*m + 13. Let r(b) = -5*b**2 + 37*b - 19. Let c(y) = j*r(y) + 8*s(y). Does 5 divide c(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1507\/7 at least -214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a + 83*a = 11141. List the prime factors of a.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 + 10 + -12 + 9 is divided by (6 - -4)\/((-2)\/(-9))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*-2*(-2)\/(-12). Let o(k) = -2*k**2 + 3. Let g(n) = -2*n**2 + 4. Let r(h) = c*g(h) - 4*o(h). Let f(m) = 3*m + 3*m**2 - 3*m. Calculate r(f(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(5*p**3 + 6*p**3 + 0*p**3).\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/5)*t*t*t\/(t*t**(-10)))**(-14) assuming t is positive.\nAnswer: t**(-952\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o - 13*o - 102*o - 30*o + 3 + 5*o - 3 + (-2 - 3 + 3)*(0*o + 3*o - 4*o) + 3*o + o - 2*o - 2*o - 1 + 1 - o + 3*o - o.\nAnswer: -130*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 553*s - 28762. Calculate p(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = v - 3*f, 0 = -3*v - f - 2*f - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**4*s**13*(s**(-2\/27))**(2\/7) assuming s is positive.\nAnswer: s**(3209\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13985420869 + 0.1.\nAnswer: -13985420868.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 151811, 303632, 455457, 607286, 759119, 910956?\n\"Answer: 2*a**2 + 151815*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/(-5))\/(48\/(-15)) and -7\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -3*y**7\/14 + y**6 - 11*y**5\/6 + 5*y**4\/3 - 5*y**3\/6 - 12*y**2. Factor g(n).\nAnswer: -5*(n - 1)**2*(3*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 17994483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 307, 337, 369, 403, 439, 477?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 4335.\nAnswer: 4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nppppppnnp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k = -20. Suppose -4*r = k - 48. Let x be r + -3 - 0\/1. Solve 0 = -2*o - h + 1, 3*o - 5*h = x*o + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*v - 1470 = 0, -v + 1486 = h + 4*h. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzujxzzjzzz. Give prob of picking 4 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.52 + 0.31. Let d = -1.81 - z. Let k = d - -1.1. Which is the second smallest value? (a) 5 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + (-117)\/18. Let i(l) = -l + 9. What are the prime factors of i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {o: 5, j: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-9)\/3)*(-1)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 13 = -2*r - r, -4*t - 9 = r. Let l(x) = -20*x + 1. Suppose 0*j - 3*j + 27 = 2*m, 15 = m + 3*j. Calculate the remainder when l(r) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399469 is divided by 171?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -1, 8, 21?\n\"Answer: 2*v**2 - v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5850 - 5875 - 5867 + 17592 + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -62118.\nAnswer: -62117.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*v**3 - 278*v**3 + 480*v**3.\nAnswer: -38*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:16 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20682 + 20702. What is the highest common divisor of l and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -1 + (-49 - -33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -361846, -362210, -362576, -362944, -363314?\n\"Answer: -m**2 - 361*m - 361484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v = 3*q, -3*q = 4*v + 2. Let o(p) = -p**2 - 7*p + 8. Let n(d) = -d + 1. Let g(c) = 6*n(c) - o(c). What is g(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 - 74 = -5*y, 5 = -5*q. Let r be (-2)\/(-3) + 235\/y. Let v = 53\/12 + r. Find the common denominator of -15\/2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 4*z**2 + 6*z + 7. Let i be w(-5). Calculate the highest common factor of 22 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/9 + 20*u**4\/9 + 2*u**3\/3 - 280*u**2\/9 - 392*u\/9 = 0 for u.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 3*f + 4. Suppose -5*z - m = -31, -67*z + 19 = -68*z + 4*m. Let b(r) = -4*r**2 - 7*r + 7. Give z*u(c) - 2*b(c).\nAnswer: -2*c**2 - c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 12) in base 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364 (base 12) to base 13.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45444 is divided by 73.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/128 and -9\/16?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 37. Sort v, -2, 0.5 in decreasing order.\nAnswer: 0.5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.6, 3\/10, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/15 - 48\/15. Let y(h) = 2*h**2 - 2*h - 6. What is the units digit of y(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/55, 2\/5, 0.01, -2891, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, 1 in increasing order.\nAnswer: -22, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -2\/15 (c) -0.6 (d) 1.3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1812 + 2.1812. Put q, -0.2, 1 in increasing order.\nAnswer: -0.2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + 2. Suppose -3*d + 51 = -4*z - z, -5*z = 2*d + 41. What is the least common multiple of ((-36)\/(-20))\/(z\/(-30)) and i(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1\/(-4)*(2 + 30). Suppose -3*u + 2 = 4*d + p, 3*u - 26 = 4*d. Let r = -27 - -41. Calculate the highest common factor of u and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3457 (b) -8\/5 (c) -0.9 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2\/2 - 11). Let x be w*2*2\/(-8). Suppose 2*b + 1 = 3*g, 2*b - 3*b = x*g - 32. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 11*d = -1658. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-132)*6*-4*11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1380352 or 1380345?\nAnswer: 1380345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2010 (c) 3\/8 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 - 10*o + 4. Let j be a(5). What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 995946 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 744 and 3108928.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 - -297. Let c be (1 - 2)*(h + (7 - 19)). Let k(t) = t**3 + 3*t**2 - 5*t + 1. Let r be k(-4). Solve -1 - 26 = -3*o + 4*j, -c*o = r*j - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(12) - sqrt(3)))\/((sqrt(33)*2)\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1, 1559 in descending order.\nAnswer: 1559, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 - 11*g - 4. Let z be n(-10). Let m be (3\/(-9))\/(z\/9). Suppose -5 = 5*x - 0. What is the nearest to -1 in -4, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 - 241 = 2*i. Suppose -3*v + 59 = -q + 5*q, 3*q + 24 = 3*v. Let d be (6\/(-15))\/(v\/5). Is d equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13000 and 101000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 m when three letters picked without replacement from {m: 5, t: 7, k: 4}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 19 - 21 = 0. Let w = j - -125. Let q = -43 + 60. What is the greatest common factor of w and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(128) + -1.\nAnswer: -2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (24 + 19 + -18 - 29).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 3081?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 3*u + u)*(2 - 2 - u**4) + 4*u**4 - 4*u**4 - u**5 - 4*u**5 + 3*u**5 + 2*u**5 + 2 + u**5 - 2 + (36 - 36 + 29*u)*(-12*u**4 - 3*u**4 + 6*u**4).\nAnswer: -258*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92825?\nAnswer: 5, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**5\/10 + 3*r**4\/2 - 8*r**3 + 20*r**2 + 53*r - 21. Let s(t) be the first derivative of l(t). Factor s(u).\nAnswer: -2*(u - 5)*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -491 + 470. Which is the nearest to 0.2? (a) 0.4 (b) t (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1945, 1979, 2023, 2077, 2141, 2215, 2299?\n\"Answer: 5*f**2 + 19*f + 1921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.287 - -0.187. Let x = k - -10.1. Are 3.7 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*m = -75*m + 134. Suppose -63*c - 2592 = -m*c. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 21\/2*y**5 + 3 - 6*y**2 - 5\/2*y**6 + 14*y**3 - 69\/4*y**4 - 3*y. Let w(k) be the first derivative of u(k). Factor w(i).\nAnswer: -3*(i - 1)**2*(5*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**1*i)\/((i*i**(-1\/5)*i)\/i))\/((i\/i**(-3\/2))\/(i**(-7)*i)))\/(i*i\/(i*i\/(i**(-2)*i))*i**(-2\/11)*(i**(-3)\/i)\/(i*i**(-4)\/i*i)) assuming i is positive.\nAnswer: i**(-673\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 550461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2571.7 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 372 = 2*m, -8*k + 3*m = -5*k - 357. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 3276\/(-784))\/(4\/24*5*1)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-121)*-11)\/(2\/(-6))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*u = 1406*u + 3700 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 610 - 2315. Does 64 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2. Let p(a) = -2*a**3 + 12*a**2. Let y be 1978\/(-161) + (2 - (-24)\/(-14)). Suppose m - 1 = 2*m. Calculate m*p(k) + y*u(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/95 + 1\/5. Let a = -0.3 - -0.1. Sort x, 1, a in decreasing order.\nAnswer: 1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from fiiiiiiiozooii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2092*j - 5*n = 2094*j + 30, -3*j = -4*n - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1047, -1041, -1035, -1029?\n\"Answer: 6*z - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 88156180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4753 + -8377?\nAnswer: -3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 167394, 166401, 165408, 164415?\n\"Answer: -993*y + 168387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18915 + 18914.9991866. Round m to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 93*f**2 + 114*f + 505. Give t(-5).\nAnswer: 2260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -173*b**2 - 19. Let f(i) = -87*i**2 - 10. Give 11*f(x) - 6*m(x).\nAnswer: 81*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10740819, 21481639, 32222459, 42963279, 53704099?\n\"Answer: 10740820*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.5 (c) 9 (d) -47\/80 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38605*f**3 - 2*f - 38597*f**3 - 2*f + 0*f.\nAnswer: 8*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1b2db?\nAnswer: -1b2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42012 and 164592.\nAnswer: 64026288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((960\/(-560))\/(-6))\/(1\/(-126)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*c - 66 - 38, m - 5*c = 10. Suppose -w = -3*r - 2*w + 2, -5*r + 3*w - m = 0. Let p be (-5)\/(-3) + (1 - 3). Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 56. Suppose 36 = 2*l - 2*b, -5*l + b = -p*l - 64. Let t = 27 - l. Solve -5*w = t*k + 6 + 15, w + 5 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. What is the least common multiple of f and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 285420400 to the nearest 1000000.\nAnswer: 285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -2. Let b(c) = -o - 5 - 16*c**3 + 17*c**3 + 2*c - 12*c**2 + 0*c. What is the smallest common multiple of 4 and b(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/c*c)**(1\/14)*c**(-5)\/(c*c**(-1\/6)) assuming c is positive.\nAnswer: c**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9682*m + 48941. What is w(5)?\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-400)\/(-80))\/(544\/1280). Factor 40\/17*o - a - 2\/17*o**2.\nAnswer: -2*(o - 10)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -1 + 4. Which is smaller: g or -2\/33?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 35 = -8275*v + 8280*v, -4*v + 44 = 4*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 32 = -j. Let c = -6 + j. Let o be (-14)\/28 + 7\/c. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**2\/3 - 36244*t\/9 + 4832\/9.\nAnswer: 2*(t - 1208)*(15*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8*(4 - 6). Let a = t - -2. Factor a*y**3 + 0*y**2 + 0 + 0*y.\nAnswer: y**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-14) - -3 - (2\/(-8) - (-9)\/36).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-21))\/(-13)*(-36)\/20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2365 + 1a0?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + 39 + (-5 + 18 - (0 - -23))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 5 - -8)\/(-1). Let i be (-1 - -38) + v\/2. Suppose -j + 2*d = -1 - 9, -j = 4*d - i. Calculate the remainder when 53 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 518 (b) 2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -52. Suppose -a*f = -14*f. Suppose f = 8*j - 874 + 274. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26207*j - 7021*j**2 - 15796*j**2 + 26207*j)*(j**2 - 2*j**2 - j**2).\nAnswer: 45634*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, -0.2, 5, 0.03, -2.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130\/3 + -43. Suppose 0 = -2*u + 7 - 5. Let q(h) = 9*h - 1. Let r be q(u). Which is the nearest to 1\/2? (a) z (b) r (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let l(n) = 5*n. Let g = 2171 + -2168. Give g*l(y) + 6*f(y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*k + 3 - 17, 0 = 5*k. Suppose -t = 5*o - 94. Factor -9*m + 14 - o + 6*m + m**3.\nAnswer: (m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/164)\/((-561)\/264)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 1) + -9 + -2. Let r = 3 - w. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*j + 2*i, i + 4 = 5*j + 3*i. Let o be j\/((-6)\/171) - 3. What is the remainder when 32 is divided by (3 + o\/3)*-1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 0.1901345?\nAnswer: -0.4901345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98397*q**4 + 83*q**3 + 21038564*q**2.\nAnswer: 2361528*q + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 + 7*a**2 + 71*a + 126. Let g(c) = 2*c**3 + 6*c**2 + 70*c + 126. Let w(t) = -5*g(t) + 4*l(t). Factor w(z).\nAnswer: 2*(z - 7)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.395618 rounded to the nearest 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/4)\/(((-4)\/40)\/(2\/(-1)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(70)\/(-3*sqrt(10)).\nAnswer: -1 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u - 15. Let r be (0 - (-3)\/(-5))\/((-53)\/(-530)). Suppose 3*o + 5 = -61. Let l(w) = -2*w + 4. Determine o*l(g) + r*t(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*j**2 - d*j - 117580874*d - 13441220*j**2 + 2*j wrt j.\nAnswer: -4*d*j - d - 26882440*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2200) + sqrt(2200))\/(sqrt(891) - (sqrt(891) + sqrt(891)*-1)).\nAnswer: -10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*a - 33*a. Let g = 475\/2 - 237. Factor a + 1\/2*w - g*w**2.\nAnswer: -w*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/272)\/((-5)\/12*(-114)\/(-2660))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2093143l in millilitres?\nAnswer: 209.3143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let o = 0 + h. Let x be 1 + o*(-2)\/(-2). Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25091 + 0.25024368. Round r to five dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458703 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, 372, 1381, 3344, 6579, 11404, 18137?\n\"Answer: 53*w**3 + 2*w - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (1 + -2 - 26). Suppose -w + 2*r = -16, w - y = -0*w - 3*r. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t - 48 = 50. Suppose 0 = -6*m + m + 5. Put -2, t, -12, m in decreasing order.\nAnswer: t, m, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:03 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*f - 31, 4*k + 52 = 2*f + 20. Which is the closest to 3\/2? (a) 1 (b) k (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 11*z)*((-3*z + 0*z + 5*z)*(-2*z**3 - 1 + 1) + 0*z**4 + z**4 + 0*z**4 + z**3 - z**3 + 2*z**4).\nAnswer: -11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31675590 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9551, 9592, 9633, 9674?\n\"Answer: 41*j + 9510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + r**3 + 2*r**4 - 3*r**3 - 113*r**2 + 115*r**2 to the form o*r**2 + f*r**4 + v*r + w + u*r**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93218 is divided by 46567?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39624?\nAnswer: 2, 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Suppose -v = -5*r + 18, -h*r + 20 = -5*v - 1. Solve -4*b + r*b - 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttoootttot. Give prob of sequence tooo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p**2. Let t(m) be the third derivative of -m**4\/12 + 6*m**2. Let g(n) = -n. Let q(b) = 4*g(b) - 3*t(b). Determine q(z(y)).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-1.9.\nAnswer: -58.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1820\/(-98)*(1*-1056 - 1). Calculate the greatest common divisor of 130 and u.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 98\/(-24) + 0 + 6\/(-8) and -125\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 5856?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 2 e when four letters picked without replacement from {x: 1, i: 2, j: 6, k: 1, e: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37413)\/182908)\/((-3)\/8)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -1)\/(137 - 3132\/24).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjjlj?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by ((-41)\/(2665\/156))\/(12\/(-1000))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 + 20*s. Is a(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 8*f - 6. Let a be g(6). Let i(u) = 13*u + 11. Let v(o) = 7*o + 6. Give a*i(k) - 11*v(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*z**5 + 53*z**2 + 2 wrt z.\nAnswer: 3480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -175, -196, -225, -262?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(4)\/sqrt(2) - ((sqrt(98)*1)**2 + sqrt(2))) + -2*(sqrt(160)\/sqrt(8))\/sqrt(10).\nAnswer: -96 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054.364 rounded to the nearest 10?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 400\/72*-15*6408. What is v rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t. Let d(c) = -5390*c. Calculate m(d(n)).\nAnswer: -21560*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + -19)\/((-1)\/2). Suppose p*z = 2*z + 4. Is 450\/9 - (-1 - z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42834?\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 134*y - 296. Solve -16*p + 13 = -11*p - v, 16 = y*p - 4*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h**2 - 5386*h - 17152. Give b(452).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3362 + -4491.67418.\nAnswer: -7853.67418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 254*t - 227*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 23. Let h be r(10). Let s be (12\/(-32))\/(-2 - 232\/(-128)). Solve -5*d - 4*u = 0, 0 = s*d + 6*u - 5*u - h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(931) + 0 + (sqrt(931) + 1*sqrt(931))*-2)*1 + (sqrt(931)*3 + -2 + sqrt(931) - sqrt(931) - (0 + sqrt(931)*-3)))**2*-4.\nAnswer: -33552 + 504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:42 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/7 - 3210*b**4\/7 - 13950*b**3 - 735750*b**2\/7 = 0. Calculate b.\nAnswer: -15, 0, 1635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j - 3 = 47*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39603 and 2808129.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 134904.\nAnswer: 1349040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwygddwww. What is prob of picking 3 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -11*t + 3. Is (t\/28 + (-506)\/(-42))*183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3bbab - -81?\nAnswer: 3bc5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/3)*h))\/(h\/(h*h\/((h**(1\/3)*h)\/h)))*(((h\/((h**4*h)\/h))\/h)\/h)\/h**(-1\/2)*(h**5\/(h**(-5)*h))\/(h*h**(2\/3))**40 assuming h is positive.\nAnswer: h**(-373\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4048219 microseconds to minutes.\nAnswer: 0.000000040080365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -151070, -302140, -453210, -604280?\n\"Answer: -151070*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -15, 10, -1 in decreasing order.\nAnswer: 10, 3, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -0.7. Let j = i - 0.2. Let h = 0 - j. What is the closest to -0.1 in 1\/2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**7\/105 - x**3 - 6*x**2. What is the derivative of j(r) wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-28)\/(-8))\/(-1 - -16)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*p + 56051*p**4 - 56062*p**4 - 3*p to the form o*p**3 + m*p + i*p**4 + z + r*p**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.6 - 16. Let a = g - -5.4. Let d = a - 4.5. Put -10, d, -0.5 in ascending order.\nAnswer: -10, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(9)*2)\/sqrt(3).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6007 is divided by 1238.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 30*u**2 - 1707*u - 153. Give o(29).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -57934655?\nAnswer: 3\/11586931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 29 (b) 36 (c) -1\/19 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146603 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1011, -8128, -27447, -65070, -127099, -219636?\nAnswer: -348783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 3, s: 6, r: 6}. Give prob of sequence ts.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 2*b**2 - 8*b - 11. Let l = -267 - -264. What is the units digit of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.164 and 2.14.\nAnswer: -68.83096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1746822.08102 + -1719006.432. Let b = 27816 - q. Let m = 0.35 - b. Round m to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6310158 meters in centimeters?\nAnswer: 63.10158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5359389249?\nAnswer: 3, 10463, 170741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3367*k + 3237*k + 543*k = -107205 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = 3*a. Let p(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 3*x - 1. What is the remainder when 16 is divided by p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(125) + (sqrt(125) + 0)**2*-1 + -3.\nAnswer: -133 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 103 = 3*b. Suppose 3*k + 4*i = -214 - 333, k = -3*i - 179. Let p = b - k. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24.7 in 2, -141, 7\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6352 and 36.\nAnswer: 57168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12. Suppose 4*m - 3 = -4*s + 29, 3*s - 12 = f. Let l = 0.9 + -1.1. Which is the closest to l? (a) -5 (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 11*q - 8. Let n be z(-11). Does 9 divide n\/(-10) - 830\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*w + 10*w - 2*w**3 + 3 - 117*w**3 wrt w.\nAnswer: -714*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -12. Let a = u - 34. Solve 2*y - 18 = 4*z, 0 = -a*y - 2*y + z + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vttvt. What is prob of picking 2 v and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 12*t**2 + 31*t - 3. What are the prime factors of u(-16)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (518\/(-91))\/(3*16\/(-624)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*i - 10. Suppose v + i*v = -9. Let b(a) = 2*a**3 - 3*a**2 + 3*a - 3. Let x(t) = t**3 - t**2 + t - 1. What is v*x(o) + b(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 8*s = -138. Let y be 1*(2 + 42 - -2). What is the greatest common factor of y and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 37*m + 42. Suppose 8*s = o + 4*s - m, 18 = 3*o + 3*s. Calculate the highest common factor of o and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1708349 + 2?\nAnswer: 1708351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4 = 2*b. Sort b, -4, 4.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 + 157*b**3 - 81*b**3 - 79*b**3 + (-4*b - 3*b - 7*b)*(0*b + 0*b - b**3).\nAnswer: 9*b**4 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghmmmhmmhghghg. What is prob of picking 3 m?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnuuuynnuuuunyyu. What is prob of picking 4 n?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 252*u**3 - 5*u**2 + 19*u + 3. Let l(b) = 250*b**3 - 6*b**2 + 22*b + 3. Give 7*k(q) - 6*l(q).\nAnswer: 264*q**3 + q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5628094 divided by -5628094\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756791?\nAnswer: 7, 73, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 17. Let z be ((-2)\/1)\/(-2 - t). Let x(b) = 2. Let c(s) = -s + 2. What is z*c(p) - 3*x(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = w. Suppose 5*f = w*f + 18. Solve -2*o - 5*u = 21, o = 2*o + 4*u + f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 9:07 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085711?\nAnswer: 11, 89, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 781*d**4\/2 + 2*d**3\/3 + 112*d**2 - 1642. What is the third derivative of o(p) wrt p?\nAnswer: 9372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 20, 3*v = -v + 3*n + 11. Suppose 4*q + q = 0. Let x = q - v. What is the closest to x in 0.5, 0, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68118637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -675, -701, -727?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 163.4*34\nAnswer: 5555.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -266, 13, -2, -3.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -16 - -27) + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2\/21, 2\/231, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*l + 259*l**2 + 2 + 2110*l**3 + 2943*l**3 - 129*l**2 + 728*l - 126*l**2 wrt l?\nAnswer: 30318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:34 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1298693 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(32\/(-14) - -2). Let h(p) = 3*p**3 + 4*p - 4. Let d = -160 + 164. Let l(j) = 5*j**3 + 7*j - 7. What is d*l(w) + t*h(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2 - 7*n + 7. Let o be u(5). Suppose 7 = f - 1. Solve o*w = 3, 0 = 3*j + w + 1 - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**2 + 30. Let p(v) = 2*v + 1. Let o(i) = 10*i + 4. Let q(x) = -o(x) + 4*p(x). Give q(l(a)).\nAnswer: 12*a**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 4*c + 2 + 1 - 5 as i + q*c**2 + t*c + j*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41452\/61 or -681?\nAnswer: -41452\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 990730 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 + d + 27. Let l be h(0). Let m be ((-7)\/((-105)\/(-48)))\/((-4)\/(-10)). Let w = m + l. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h + 3*a, -2*a = 0. Suppose -f + 8 = -z, 3*f - 3*z - 24 = -2*z. Solve j - f + 3 = h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - (2 + 3)) + -4. Suppose 31 = s*u - 60. Calculate the highest common divisor of u and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbu when four letters picked without replacement from {b: 3, v: 1, u: 5}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.2 + 2.2. Let r = -13.9 - w. Let t = 1 + -5. What is the third biggest value in t, r, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 18. Let i(c) = -196*c - 1751. Let l be i(-9). Give s(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let t(h) be the third derivative of 77*h**4\/12 + 14*h**3\/3 - h**2. Let v(x) = -17*x - 3. Let d(l) = -3*t(l) - 28*v(l). Determine c(d(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/20))\/z)\/((z*z**(-40))\/z))\/(((z**(-4)\/z)\/z)\/(z**(-2\/21)\/z)) assuming z is positive.\nAnswer: z**(18797\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 28*w**2 - 14*w - 79. What is a(27)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.473 + -0.027. Let x = g - -9.5. Let m = 1 - -1. What is the nearest to -3 in 3, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 26939018527538.\nAnswer: 26939018527533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n**4\/11 + 382*n**3\/11 + 1992*n**2\/11 + 2502*n\/11 - 756\/11 = 0.\nAnswer: -42, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 11*m**7\/210 + m**4\/12 - m**2. What is the second derivative of a(r) wrt r?\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/21 - (-23)\/(-51)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 8*x**2 + 5*x - 7. What is the remainder when 18 is divided by m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1233 and 995853.\nAnswer: 2987559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 721829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.38 - -0.38000022. What is g rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 6 - 2) + (-8 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2820.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 1, a: 5, n: 1, o: 1, w: 5}. What is prob of sequence qwp?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 720 divided by -49896\nAnswer: -10\/693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, r: 7, t: 6}. What is prob of picking 4 t?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjmmmejjmjm. What is prob of picking 4 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from qxxvvqvxxvqxvq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5233.378 milligrams in tonnes?\nAnswer: 0.000005233378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 2*sqrt(17)*2 + 4)*-3.\nAnswer: 18 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11985.6 + -11989. What is the closest to -1 in w, 3, -2\/19, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 516 and 8384484?\nAnswer: 8384484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 93 = 7*l + 4*s, -3*l + 4*s = -75. Solve 0*z - b + l = 5*z, 13 = 2*z + 5*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p - 24. Suppose -2*w + 34 = -0*w. What is the remainder when q(7) is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19805251 is divided by 1223?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.3 in -3\/5, 6\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/49 - -237\/196. Which is the second biggest value? (a) 0.3 (b) x (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -148*c + 0*c**2 - 4 - 9*c**2 + 8*c**2 as o*c**2 + b*c + u and give b.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4 + 94*j**3 + 2880*j**2 + 26624*j - 65536 = 0.\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2 (c) -1\/5 (d) -2\/7 (e) 4\/5 (f) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-619782 - 9*q**2 + 619776 - 16*q + q**2).\nAnswer: -16*q**2 - 32*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.196 - 0.804. Sort 67, -1\/3, y in ascending order.\nAnswer: y, -1\/3, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21469 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otf when three letters picked without replacement from lbststoof?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**4 - 7*o**3 - 7*o + 11. Let a(m) = 4*m**4 - 3*m**3 - 3*m + 6. Let d(c) = -7*a(c) + 3*v(c). What is the first derivative of d(f) wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468174 and 1562?\nAnswer: 5149914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 125*c**3 - 14*c**2 + 24*c - 3. Is 23 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from ttaatt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 12 = 11*o + 5*l, -3*l = -3*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112011220 + 20001?\nAnswer: -111221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -38 - 32. Suppose -10*k = -17*k + o. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -10 + 30. Suppose -s = -6*s + 4*g + 82, 58 = 5*s + 4*g. What is the smallest common multiple of d and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110010111 (base 2) to base 9\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - 1) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c. Let q(p) be the third derivative of p**4\/12 + p**3\/2 + 77*p**2 - p. Determine q(b(a)).\nAnswer: -14*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/7)\/(250\/(-100))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 0)*2\/4. Suppose 1 = i, -2*i + d = 3*f - 5. Suppose 63 = 5*m + f*r, 4*r - 38 = 2*m - 4*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3 in 10, -2, -0.082?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -32.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 1212?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:07 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 7. Let d(s) = -495*s**2 - 463*s**2 + 1000*s**2. Give j(d(q)).\nAnswer: 210*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167346110?\nAnswer: 2, 3, 5, 7, 794113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 214?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**2*k**21\/k**(-4\/3))**(15\/4) assuming k is positive.\nAnswer: k**(655\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 21*w + 208 = 0. Which is the second smallest value? (a) w (b) -2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1275308222 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-7 - 8) + 33\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -33*w - 178. Let n be p(-19). Let c = 1210 - n. What are the prime factors of c?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6715 + -10.5885. Let g = 12 - 22. Let h = g - r. What is h rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 6 + -11)*(12 - 4)\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13 = -10 + 7. Solve -3*z = p*v + 2, 2*z - 3*v = -z - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, f: 3, o: 4}. What is prob of sequence ioof?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 50*g - 5 = -52*g, -g + 1 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*m**4 - 3*m**4 - 3*m**2 + 2*m + 8*m**2 to q*m**3 + s*m**2 + w*m**4 + x + t*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 49 - 6*o**2 + 3*o**2.\nAnswer: -3*o**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/12 + 13*i**3\/6 + i**2. Let x be r(0). Calculate the greatest common divisor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/(-6) - 2\/3. Suppose -i + 0*i = -44. Calculate the highest common factor of y and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1102*z**3 - z**2 - z + 335649?\nAnswer: -3306*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 26*x**2 + 862*x + 137. What is c(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v = -71*v - 3*p + 26, 0 = -4*v + 5*p - 46 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let y(z) be the third derivative of 61*z**5 - 1186*z**2 + 2. Determine v(y(h)).\nAnswer: -3660*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/2 - (-9 + 51\/6). Let f be 42\/(2*3\/6). Suppose -2*n + l*n - f = 0. Solve 5*b - n = 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 4.4 (c) -0.05 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -727506*u**4 + u**2 + 3633864.\nAnswer: -17460144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*u + 6 = -0*u, -2*q - 15 = 3*u. Let f = 3 - q. Factor -12*a**3 + 5*a - f*a**2 + 2*a**5 - 9*a - 2*a - 10*a**2.\nAnswer: 2*a*(a - 3)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 1304\/7. Let i be (2 - 26\/16) + (-200)\/192. Let y be 4\/(-6)*(-3)\/(-19). Put y, u, i in decreasing order.\nAnswer: u, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*t - 389, -3*t = -0*t + 2*o - 283. Let q = 96 - t. Solve -4 = -q*m - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4874.\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4\/7, -1\/9, -0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.091 - 9.509. Let p = -12.6 - h. Which is the closest to 2? (a) 5 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -40 - ((50 - -3) + 2)) + -6.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in 12, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c + 2. Let w be d(3). Let i be 4 + -2 - (-2 - w). Let r be 4\/(-6) - 38\/i. Is r at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-1080)\/50)*(-102)\/850.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1272.174533 + 4.\nAnswer: 1276.174533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -60*m**5 + 6172*m**4 + 26804*m**3 - 28636*m**2 - 4280*m = 0.\nAnswer: -5, -2\/15, 0, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i**3 + 6*i**2 + 3*i - 3. Let n(l) = -9*l**3 + 8*l**2 + 4*l - 4. Give 4*f(w) - 3*n(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -2, 46, 4 in increasing order.\nAnswer: -7, -2, -1, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -111*q. Let a(d) = -2*d**2. Give h(a(f)).\nAnswer: 222*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkr when four letters picked without replacement from rrkrkkrrkkrkrrkrkk.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/78 (b) -0.5 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m - 62*m + 41958 = 0. What is the greatest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*t**3*w - 6*t**2*w**3 - 267*t*w**3 wrt t?\nAnswer: 60*t*w - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/60 - z**2. Let h(r) be the second derivative of -5\/6*r**3 + 0 + 0*r**2 + 17*r. What is h(k(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -f + 33, -133 = -5*f - n. Let p = f + -28. Let s(t) = -t**2 - 2*t + 3. Let i be s(-3). Are p and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x**20\/x*x*x))*x**(-2\/31)\/x*(((x\/x**23)\/x)\/x)\/(x*x**(9\/11)\/x*x) assuming x is positive.\nAnswer: x**(-2006\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*p = 18, -p - 2 - 2 = -3*q. Solve 5*n - q*z - 15 = -z, -4*n + 19 = -3*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8148 - 8152. Let u(j) = -j**3 - j**2 - j + 1. Let z(b) = 2*b**3 + 2*b**2 + 6*b - 4. What is p*u(k) - z(k)?\nAnswer: 2*k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -17 and -13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - 444*a - 443. Determine n(-147).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 17*d - 196. Let y(u) = u**2 - 4*u. Give s(t) + y(t).\nAnswer: 2*t**2 - 21*t - 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 0 + f**2 - 6)*(-2*f**2 + 2 - 2) to the form o*f**3 + d*f**2 + g*f**4 + z + h*f and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 2*f**2 - f + 3. Let i be u(0). Let l be (-32)\/(-6) + (-2 - i). Which is the second biggest value? (a) 0 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009824556 to 7 dps.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/7 - 138*a - 7600\/7 = 0?\nAnswer: -475, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.004 - 0.13. Let g = z - 17.074. What is g rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let n(s) = -1. Let g(m) = 21*m + 6. Let l(r) = 43*r + 13. Let w(b) = -5*g(b) + 3*l(b). Let u(y) = -18*n(y) - 2*w(y). Give u(z(t)).\nAnswer: 96*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 315, 665, 1043, 1437, 1835, 2225, 2595?\n\"Answer: -2*f**3 + 26*f**2 + 286*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b - 4. Let r(f) = -7*f - 13. Let p(a) = 63*a + 112. Let i(o) = -4*p(o) - 35*r(o). Calculate -7*c(h) - 4*i(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 16 = 3*m, -2*m + 2*n = -3*n - 19. Let f be (-451 - -5) + 0\/(-1). Let d = m - f. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - 2.9. Let u = 1.2 + d. Which is the nearest to u? (a) -2 (b) -3\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304053 (base 8) in base 9?\nAnswer: -612271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2. Let l(s) = 7649*s. Determine i(l(w)).\nAnswer: 175521603*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*c = -o + o - 58, -5*o + 18 + 26 = -8*c - 37 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-360)\/(-150))\/((-2)\/10*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 1\/6*j**4 + 0 + 0*j**3 - 1\/2*j**2 - 9\/20*j**5 + 2*j. List the prime factors of g(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, z: 1, o: 4}. Give prob of sequence tk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1226666486 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - z + 5. Let u be y(5). Suppose 2*h - 5 = 4*q + q, h + 2*q + 2 = u. Solve h = -p - p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 159840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-1*((-12)\/(-15))\/4). Let r = -461\/13 + 10235\/234. Find the common denominator of ((-14)\/16)\/(u\/56) and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 2*b**2 - b**2)*((-b + 3*b - 3*b)*(0 + 1 + 1) - b + 15*b - 2*b).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 60933*l**2 - 2319903*l + 2380833.\nAnswer: 3*(l - 20349)*(l - 1)*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/10 + v**4\/5 - 3*v**3\/5 - 4*v**2\/5 + v\/2 + 3\/5 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1 + (-2 + 1 - 2)*(-4 + 3 + 2))*(-5 + 4 - 1)*(44*v - 228 + 228).\nAnswer: 352*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**2 + 43*j + 267. Let i(k) = -7*k**2 - 21*k - 134. Let r(p) = -13*i(p) - 6*t(p). Factor r(n).\nAnswer: -5*(n - 7)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, s: 1}. What is prob of sequence ggg?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 14*o + 1. Let s(c) be the second derivative of -c**4\/12 - 7*c**3\/3 - c**2\/2 - 14*c. Let l(i) = 4*s(i) + 5*w(i). Is l(-18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - 2*l**2 + 2*l**2 - 4 + 4 - l**4 + 4*l**4 - 2*l**4 - l**4 + (2*l**2 + 1 - 1)*(3*l**2 - 6*l**2 + 5*l**2) + 3*l**3 - 3*l**3 - 3*l**4.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 183501 and -391.\nAnswer: -71748891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -220 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (0 + 5)) + 2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 17*n + 41. Let m(h) = 2*h**2 - 18*h + 40. Let y(s) = 4*j(s) - 5*m(s). Let a be y(-13). What is the greatest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8974747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 66\/13*c**2 + 12\/13*c - 6\/13*c**4 - 32\/13 - 40\/13*c**3 = 0.\nAnswer: -8, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4632644020 - -4?\nAnswer: -4632644014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2 (c) -1\/16 (d) -1 (e) 3 (f) -1\/8 (g) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:27 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:00 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 129688?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + 96 = 0. Let y = u + 52. Solve -k = -7 + y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15247 = -53*z - 26*z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -115, -165, -201, -217, -207, -165?\n\"Answer: b**3 - 2*b**2 - 59*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:09 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (-4 + 10 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 5*j**2 - 3*j**2 - 15*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*n**2\/2 - 139695*n - 260195907\/2.\nAnswer: -3*(5*n + 9313)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 106, -5, -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10ac - -4ef?\nAnswer: 159b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/7 (c) 396 (d) 1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -132*q + 128. Let i be x(1). Let a(j) = -j**3 - 6*j**2 + j + 9. Calculate a(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1838*-0.4.\nAnswer: -735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 27. Let c = 36659\/4 - 9102. Let y = c + -63. Put t, 0.2, y in decreasing order.\nAnswer: t, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/(3\/(-9)*-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2831, 1760, 687, -388?\n\"Answer: -b**2 - 1068*b + 3900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 22 + 2. Suppose 4*s - f*j - 15 = -0*s, 0 = -3*s + 3*j + 9. Solve s*q - 3*q + 5*d = 17, -2*d + 10 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145195*c**3 - 145166*c**3 + 290375*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -16.4. Which is the smallest value? (a) q (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6334262 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 3*i + 1. Suppose o - 3*n - 18 = 1, 28 = 2*o - 4*n. Let j(w) = -3*w**2 - 3*w - 2. Determine o*k(x) + 3*j(x).\nAnswer: -x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 + -44?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, i: 3, g: 2}. What is prob of sequence uug?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**3 + 3*p**2*r**3 - 333777*p**2 - 33*p*r - 7639*p + 3*r**3 + 2*r - 4 wrt p.\nAnswer: -30*p + 6*r**3 - 667554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a - 15 = 0. Let i = 12 + a. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -84, -117, -148, -177, -204?\n\"Answer: l**2 - 38*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 + -6 + 0 - -2) + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x - x + 3*x)*(-x - 3*x + 0*x) + (0 + 0 - x)*(-1 + 3*x + 1))*(4 - 5 - 2)*(-2*x + 2*x - 6*x**2).\nAnswer: -198*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*k = 2058*k + 1378*k + 146939 + 37003 for k.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005972 to four dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + q - 16, 3*u - 2*q = -11. Which is the fourth smallest value? (a) -2 (b) 6 (c) u (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3be + -9b1d3?\nAnswer: -9b5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-12))\/((-756)\/28)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*p + 1589 - 1279 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2005 in 0.2, 3, 2\/847, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 23. Let j be w(-11). Let x = -26 + j. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13682.05493 - -13682. Round v to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.167 - -4.833. What is the nearest to -1 in f, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 3:08 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(39)\/(-2*sqrt(3))*2 + (5*sqrt(156)\/(sqrt(12) + (sqrt(12)*3 - sqrt(12))))**2 + 0.\nAnswer: 4*sqrt(13) + 298\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:51 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15 + (-548)\/(-30). Are y and 19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/114 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 4*k + 17. Let w be v(-11). Let u(j) = -4*j**3 + j**2 + 5*j - 3. Let b be u(3). Let l = w - b. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -55*q**3 - 5*q**2 - 157. Let j(g) = -111*g**3 - 11*g**2 - 313. Let z(k) = -6*j(k) + 13*l(k). Differentiate z(a) with respect to a.\nAnswer: -147*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*q**2 - 198*q**4 - 10*q**2 + 17*q + 4*q**2 + 217*q**4 as y*q + h + o*q**4 + s*q**2 + t*q**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:51 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**3*t**3 + 23*h**3*t**2 + h**3*t - 5*h**2*t**3 - 2*h*t - 22*t**4 - t**3 - 356*t wrt t?\nAnswer: 30*h**3 - 30*h**2 - 528*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2 - 2*w + 9. Let p(v) = 13*v**2 - 5*v + 22. Let h(c) = 5*k(c) - 2*p(c). Let l(d) = -d**2 + 1. Calculate -h(u) - 2*l(u).\nAnswer: -2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*h - 10, 0 = -3*h - 7*v + 5*v - 8. Let z be ((-6)\/(30\/25))\/((-2)\/h). Which is bigger: -54\/11 or z?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**2. Let d = 30 + -28. Let k(o) = -2*o - 6. Let n be k(-4). Let m(s) = 5*s**d + 2*s**2 + 0*s**2 - 6*s**n. What is m(q(y))?\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 5*k + 2*k + 8*k - 3*k**2 as v + b*k**2 + y*k and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(112) + (sqrt(847)*-3 - sqrt(847)) + (sqrt(315)\/(-2*sqrt(5)))\/(sqrt(72)\/(sqrt(8)*1)))**2.\nAnswer: -243*sqrt(7) + 45963\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2170 and 199206?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 353*s**2 + 549*s - 4730. What is k(175)?\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -21 - (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4915.\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5205953 to the nearest integer?\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/33)\/((-4)\/(-51))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188301 - 115088 = 10086*v + 47931 + 152980 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*a - 180. Calculate the remainder when 721 is divided by a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*y + 77 = -3*y, 35 = w - 5*y. Let x = 3 - 1. Suppose 2*v + x*v = 16. Calculate the highest common factor of v and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - -11. Let k = 6 + -4. Suppose -110 = -k*f + 4*a, -2*f - 4*a + 66 + b = 0. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50818 + -33218. What is y rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 + 46*h**3 - 752*h**2\/3 - 296*h.\nAnswer: 2*h*(h - 6)*(h + 1)*(h + 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33 + -1)*(-15)\/(-6). Let h be (9\/(-6))\/((-6)\/f). Solve 5*p = -3*z - h, 0*p - z = 4*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/10 of a centimeter?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - z - 6 - 5*z**3 + 5*z - z to i*z**2 + u + w*z + k*z**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -627 + 624. What is the closest to -2 in 1, b, 12, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11792\/(-9) + 120\/540. Is r >= -1310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1684.968 litres to millilitres.\nAnswer: 1684968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j - p, -j - 6*p + 3*p + 5 = 0. Solve -j*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 + 107. Solve s = -4*z + 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {h: 1, t: 3, r: 8, k: 1, s: 2, p: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3494561286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6026 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 228 = -d + 47*z, 3*d - 666 = 3*z. What is the lowest common multiple of d and 11?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 65 = -25*g, -4*g + 165*n - 167*n - 22 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2954, -2950, -2944, -2936, -2926, -2914?\n\"Answer: t**2 + t - 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = -48*t + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4512 or 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + f**2 + f)*(0 - 1 + 9) as r*f + k*f**2 + c and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 3\/9511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -838.\nAnswer: 41.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**2 - 18*u**2 - 15*u**2)*(10*u**2 + 14*u**2 - 4*u**2) + 0*u - 2*u**4 + 0*u - 2*u**3.\nAnswer: -442*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 10 = 0, 17 = -2*p - 0*i - 3*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/(-510)*10\/492*4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/7*a**2 + 1\/7*a**4 - 11\/7*a - 6\/7 + 3\/7*a**3 = 0. Calculate a.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506 is divided by 1113?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 124 + 5?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(-147)*1260\/(-9000).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3748666 and -3748665 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/66500 and -1\/18475.\nAnswer: 49143500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + s - s**3 - 4*s + 4*s. Let a be h(-4). Is 4 a factor of ((-10)\/7)\/((-8)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((0 - -2) + -1) - -7. Let n be 15\/4 + p\/24. Solve -n*s + 6 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -4, 2\/11 in ascending order.\nAnswer: -100, -4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163400.\nAnswer: 2, 5, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363 - 347. Suppose -t*y + 12*y = -2284. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -331*z + 329*z + 6, -5*z = b - 15. Suppose -3*v = 2*l - 10, 4*v + 0*l - 15 = -l. Suppose -2*j = 4, i - 11 = v*j + 9. Solve -4*t = -b*t - i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2308*c**2 + 1436*c - 3744.\nAnswer: 4*(c - 1)*(577*c + 936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 5.9. Which is the nearest to v? (a) 4\/3 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:00 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4446, 4399, 4352, 4305, 4258?\n\"Answer: -47*h + 4493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiek when four letters picked without replacement from {i: 4, e: 2, k: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 13*t - 54. Let o be c(5). Suppose -10*u = -o - 9. Suppose 5*m + 2*y = 0, 6*y = u*m + 2*y - 24. Solve -2*h = -3*z + 25, -z = m*h + 2*h + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5*y + 47*g**4*y + g**3*y - g**2 - 3*g*y wrt g.\nAnswer: 60*g**2*y + 1128*g*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v + 0*v)*(1 + 0 + 0)*(3 - 4*v - 3).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3 + 0*a**4 - a - 2\/3*a**2 - 1\/3*a**5 + 4\/3*a**3 = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**6\/420 + f**5\/35 - f**4\/84 - 2*f**3\/7 - 66*f**2. Factor h(k).\nAnswer: 2*(k - 1)*(k + 1)*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6*g. Suppose -2*q = -g*q + 8. Let t(i) = 3*i + 5*i - 6*i + 5. What is t(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)\/q**(2\/3)*(q**(-1\/6))**3)**5)**(-2\/15) assuming q is positive.\nAnswer: q**(25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -43 - (-645 + 661).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 + 3682*r - 3389281 = 0. What is r?\nAnswer: 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44471622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2 + 1323*c + 64872 = 0?\nAnswer: -1272, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -249903*b**2 - 5*b - 2. Let j be w(-2). Let g = j - -499604. What is g rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -519 - -517. Sort -4, -2\/7, h, -0.2 in increasing order.\nAnswer: -4, h, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, b: 3, d: 5}. What is prob of picking 2 b?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159566935?\nAnswer: 5, 31, 1741, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let r = 821 + -821.1. What is the third biggest value in z, r, -6\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -954 - -967.65. What is q rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 40 = -5*x + 9, 2*y - 27 = 3*x. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 + 6*x. Let w(c) = -11*c**2 + 12*c - 2. Let u(b) = -5*g(b) + 3*w(b). Let s(f) = 2*f**2 - 5*f + 5. Calculate -5*s(r) - 4*u(r).\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z**2 - 1)*(-4 + 1 + 1)*(0 + 6 - 2).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1076 + -1074. Solve -7*r + 13 = 3*j - 9*r, y*j = -r + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15 - 9*z + 16 + z. Let y(o) = o. Let b(q) = t(q) + 6*y(q). Give b(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -1 + -3 + 24. Let x be ((-38)\/b)\/((-4)\/6). Solve 36 = -x*g + 39 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5492 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 6. Let q = -20.7 + 20. Let l = -3.7 - q. What is the nearest to r in -4, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {u: 1, y: 1, n: 1, z: 12}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 60 = 4*p. Let h = p - -68. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 4. Let v be u(-4). Suppose v = -5*x + 15, 2*x + 4 = -5*y - 0*x. Let o(h) = 5 + 3*h**2 + 2*h - h**2 - 2. What is o(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -41*t + 5. Let a be c(-12). Suppose -a = 5*u - 1452. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/486, -0.2, -0.1, -1\/4?\nAnswer: -5\/486","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15) - (-2)\/30. Are 6 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 28*v**2 - 2*v - 31. Let w = -51 - -66. Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1118, -5185, -11962, -21449, -33646?\nAnswer: -48553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*r - 664 = 691*j - 694*j, -r + 3*j - 16 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**3 - 20*a**2 - 43*a - 25. What is the thousands digit of l(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1080, -1076, -1072, -1068, -1064?\n\"Answer: 4*u - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3701*i + 178115. Determine f(-48).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -33) + 2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -927 + 932 + (-2 - (-18 + 2))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13947 + 13692. Suppose 0 = 5*w - 347 + 1627. Which is bigger: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29820 is divided by 253?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 10*c - 9. Let l be b(12). Let g be (-70)\/(-22) - (-6)\/l. Let p be 170\/g*(-270000)\/1. What is p rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s**2 - 7*s - 29. Let b(g) = 5*g**2 + 4*g + 14. Let y(f) = 9*b(f) + 4*t(f). What is y(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -t - 2*a + 27, 2*t = -2*a + 64. Let q = 4 - 1. Suppose 4*o - t = 5*n + 18, q*o - 44 = -n. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:45 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffb when three letters picked without replacement from bhkbfmkbhfjhf.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/5 + 56*p**2 - 282*p\/5 = 0. What is p?\nAnswer: -141, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02008132 less than 7436?\nAnswer: 7436.02008132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2229753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 3:56 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.61 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73, 83, 93, 103?\n\"Answer: 10*s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x + 78240 = 57*x. Round x to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 21*j - 286. Determine c(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:26 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*c + 15*c + 12*c**5 + c**5 + 2*c**2 - 2*c**2 + (2*c**2 - 3*c**2 + 3*c**2)*(-c**3 - c**2 + c**2).\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 148, 220, 340, 520, 772?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -10237954.2624\nAnswer: -10237982.2624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.989 and 472.9?\nAnswer: -467.6981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -5*j**9\/504 - j**8\/168 + j**5\/60 + 49*j**3\/3 - 23*j**2 + 10. What is the third derivative of t(m) wrt m?\nAnswer: -600*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 4, 45, -5 in decreasing order.\nAnswer: 45, 24, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4*u - 4 + (2 + 3 - 6)*(2*u - 4 + 4) + (-2 + 4 - 5)*(-16*u - 2 + 3 + 7*u) as n + b*u and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 2568256?\nAnswer: 28250816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 376, -92.\nAnswer: -92, -2, 0, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(468) + (-2*sqrt(468))**2 - (sqrt(208) + -2*sqrt(208) + sqrt(208))\/sqrt(4)) + 5.\nAnswer: 6*sqrt(13) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620\/(-434) + (-132)\/(-77).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291760832 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:21 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from dzggdzgzggezeddgzg.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 = 7*v + 5*v. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 + 1. Let l be u(-1). Suppose 0 = l*s - 13 - 2. Find the second derivative of 2 + 31*d**5 - 29*d**5 - 2 + s*d wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 6*a**2 - 4*a + 2. Let c(x) = 1. Let d(f) = -c(f) - y(f). Let n be d(-5). Let 1 - n*z**2 + 3*z**2 + 2*z + 0 = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1070860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 26*r + 39. Determine k(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(2625\/294)*(-6)\/12?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 704112?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -142 from 82994564022.\nAnswer: 82994564164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zbszsizpzesi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5965164 divided by -34884\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 199, 298, 397, 496?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074 + -45573?\nAnswer: -45573.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = -13*o + 25*o + 3*p, -5*p - 45 = 0. Suppose 4*m - 245 = 5*r, -4*m + 3*r + 230 = r. Calculate the remainder when m is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 + 43936*z**2 - 43964*z - 263640 = 0. What is z?\nAnswer: -10985, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 5. Let x be w(0). Suppose -x*m = 0, m + 6 = -4*a + 18. Suppose 0*y + 2*y - 6 = 0. Solve -y*i = -v + 2*v - a, -7 = i + 3*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10022030 + 10?\nAnswer: -10022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 6*x**2 - 5*x**2 + (-6 + 6 + 3*x)*(-3 + 2*x + 3) + 5*x**2 + x**2 - x**2)*(0*x**3 + x**3 + x**3).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 308, 588, 1022, 1610, 2352?\n\"Answer: 77*g**2 + 49*g + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3825377 and -0.1.\nAnswer: 382537.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -55.8?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-796)\/80 + -2 - ((-1806)\/(-120) - 15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.937 and -59.84966?\nAnswer: 61.78666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 9:51 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/19 - 618104*i**2\/19 - 618098*i\/19 + 1236204\/19 = 0.\nAnswer: -309051, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/34545 and 73\/207270.\nAnswer: 207270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2517153306 to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 7:16 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8483711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 13*d + 4 - 5*d to the form y*d + u and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 9724?\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 41*w - 39*w + 1, -5*w = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/((-2)\/((-16)\/(-2))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 6211*l**5\/5 - l**2\/2 + 332*l - 1657. Find the second derivative of k(s) wrt s.\nAnswer: 74532*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5764 by 5443.\nAnswer: -5764\/5443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, 397, 5 in decreasing order.\nAnswer: 397, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*b = -21, -2*z - b = -7*z + 39. Let q(u) = u**2 - 5*u - 26. Calculate the lowest common multiple of z and q(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.27 - -578872?\nAnswer: 579238.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 14. Let k = 11 - r. Is (382\/k)\/(2\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 12:39 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ped when three letters picked without replacement from {k: 2, e: 4, d: 2, i: 1, p: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 5*p**2 + 2*p - 21. Let h be g(4). Calculate the highest common divisor of h and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -123, -271, -469, -711?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/22 + 10\/4. Which is bigger: i or 17\/7?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -54, -2 in ascending order.\nAnswer: -54, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59980193 to the power of 1\/3, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*y - 5*x, -2*x + 5*x = -2*y - 8. Factor -y*a**2 + a**2 - 4*a**2 + 3*a**2 + 2.\nAnswer: -2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 12*p**2 - 11*p - 16. Calculate the remainder when 46 is divided by r(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031876229 rounded to 5 dps?\nAnswer: 0.00319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 824490627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 1493*c**2 - 752*c**2 - 750*c**2 - 147 + 2*c**3.\nAnswer: 2*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + m = 10, 2*m - 14 = -2*r + 3*r. Let z(n) = 44*n**2 + 1. Let l be z(1). What is the remainder when 260\/l - (-4)\/18 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*b + 550 = -188. Let z = 1 + 0. Sort z, b, -2, 6 in decreasing order.\nAnswer: 6, z, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242856273 to the nearest integer?\nAnswer: 15584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 7*n**2 - 5*n + 8. Calculate f(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557 = -22*b - 67*b - 11*b + 1343 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67126, 133453, 199780?\nAnswer: 266107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028344031 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.116 - -7.884. Let m = 557 + -562. Sort h, m, -0.2 in ascending order.\nAnswer: m, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*q - 15 = -5*g, -3*g - 2*q = -3. Let c(u) = -u**3 + 5*u**2 - 5*u + 3. Let i be c(g). Suppose i = 3*r - r. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1192175 and 1075.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:04 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/7, -71\/4, 31900?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 24*x**2 + 16*x + 18. Determine k(10).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -7\/5 (b) -51 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3, l: 12, x: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - (76 + -76)\/(-3 + 2))*(-15)\/20.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - 0. Suppose -5*b - 3 = w + 18, -3*w - 3*b = 39. Is w at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**3 + 60 + 19*n**3 - 50.\nAnswer: n**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 7*j**2 + j**2)*(-14 + 4*j**3 + 14) + j**5 + 5*j**5 + 0*j**5 + 3*j**5 - 5*j**5 + j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 10*k - 1. Let l be y(-11). Suppose l*m = 11*m + 6. Let x be ((-1)\/(-3))\/(m\/(-36)). What is the third smallest value in 0.2, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:32 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(2*c**3 - 4*c**3 + 3*c**3)*((0 + 0 + c)*(1 - 6 + 3) - 52*c - 45*c - 16*c) to y*c**4 + h*c**3 + b*c + q*c**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/235494 and -65\/2492?\nAnswer: 470988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, 4, 1\/3, -12, -9.85, 0.047?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than or equal to 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 4, 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002323394 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132001941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-534)\/(-979) + (-1)\/22. Let g = 0.3 - 0.1. What is the nearest to g in 0, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 41.\nAnswer: -12\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000819062 rounded to six dps?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098767?\nAnswer: 733, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340754631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*r = -0 + 4, 4*l + 5*r + 26 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 75*z + 831. Give l(-16).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 999071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 9) to base 14\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -294 - -332. Suppose -j*m + 36*m + 502 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-104) - (-75)\/80 - (36\/(-6) - -7)\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 2725*c + 5446 = 0 for c.\nAnswer: -2723, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 - 3*h + 4. Let a = 14 - 17. Let r be y(a). Sort -5, 2, r in ascending order.\nAnswer: -5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:28 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -83, -1.4, -0.4, 1\/5.\nAnswer: -83, -1.4, -0.4, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2469610, -19756910, -66679580, -158055304, -308701766?\n\"Answer: -2469614*g**3 - g**2 + g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*w = 1, 2*w + 23 = -2*i + 5*i. Suppose -8*t - 16 = -2*a - 4*t, -i*t = -4*a + 29. Suppose -o + 5*o = 12. Solve -o*x = -a*x + y - 9, y = -3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from ioooiqoqo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -87869402, -175738803, -263608204, -351477605?\n\"Answer: -87869401*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4 + 0 + 5 - 8 - b. Let q(x) = -4*x**2 - x - 1. Let c be q(-1). Let o be (-2)\/12 - c\/24. Determine r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1 - 1 + 3. Suppose 0 = c - 5 + 4. Let k(g) = -g**2 + 3. Let b(u) = c*k(u) - y(u). Differentiate b(a) wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m + 10. What is w(-7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/42 + 4\/(-14). Suppose q - 4 = -w*q. Solve -4*c + 8*c - 3*n = -16, 4*n - 20 = q*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (362 - 361) + 7 + 0 - -77?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*c**5 - c**3 - 488*c**2.\nAnswer: 2160*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5101076*d**4 + 5455426.\nAnswer: 20404304*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 12, 675, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 25*o = -82*o + 272182. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) 1637 (c) 6 (d) -1\/8 (e) 146\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 27. Suppose y*a + 4*r = 3*a - 33268, -5*a + 2*r + 166412 = 0. Suppose 55116 + a = -4*z. Round z to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, 0.1062, -6, 1?\nAnswer: 0.1062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w. Let o = 1743 - 1741. Let l(b) be the third derivative of -8*b**o - 1\/12*b**5 + 0*b**4 + 0 + 0*b + 0*b**3. What is l(i(s))?\nAnswer: -125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/2 - 14278*l + 101930642 = 0. What is l?\nAnswer: 14278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - g, 5 = -a + 11*g - 14*g. Solve a + 8 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/2593 (b) -5 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7538354 (base 9) to base 15.\nAnswer: -54c594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) + 8\/10. Let v = x - 3\/20. Which is the biggest value? (a) v (b) -2 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x + 1. Let o be (-1)\/(-1*x\/(-2)). Suppose 2*k - 10 = -2*i, 0 = -o*k + 2*i - 7*i + 22. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -18 - (49 - 7)) + (1 - -2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.5 - 39. Which is the smallest value? (a) 2 (b) g (c) 0 (d) -31 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 0.46.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6 - 5 - 2 + 5 + (-3 + 1 + 1)*(0 + 3 - 1) - 5 + 4 + 2)*(2*w + 2 - 2).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9709241 hours in seconds?\nAnswer: 3495.32676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 2*m + 42 = -8*n, 3*n + 4*m + 77 = 0. Find the common denominator of 43\/84 and 177\/(-30) - (n - -20).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pippmpmmiimimpiiimmm. What is prob of picking 3 p and 1 i?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))\/(c\/((c**(-4)*c)\/c)))**(5\/2) assuming c is positive.\nAnswer: c**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.3, -6\/7, -452.88?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.5, 45, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5344)\/6)\/(6\/(-9)).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -643*u + 437*u + 1 - 1 in the form z + j*u and give j.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-35)\/((-20)\/4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Let d = 0.133 + -0.233. Sort 0.2, r, 3\/7, d in increasing order.\nAnswer: d, 0.2, 3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*h**2 - 15*h + 41*h - 26*h as t*h**2 + u*h + n and give t.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + (1 + sqrt(567) + -3)**2 - (sqrt(567) + sqrt(567) + sqrt(567)*1 + -1 + sqrt(567) - (3*(sqrt(567) + -1))**2)))*4.\nAnswer: -936*sqrt(7) + 22724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3321 = -32*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 4*n**2. Let s be h(-4). Factor 2\/3*i - 2\/3*i**3 + s + 2\/3*i**2 - 2\/3*i**4.\nAnswer: -2*i*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -248, -403, -598, -845?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/5 - 2116*v**3 + 14076306*v**2\/5 - 222520608*v\/5 = 0. Calculate v.\nAnswer: 0, 16, 2637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j + 23*j**3 + 21*j + 20*j - 3*j**3 + 8*j.\nAnswer: 20*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 535 + -534.9719. What is t rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241376286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 2*f**2 + f - 1. Let l be o(2). Calculate the highest common factor of 2 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baaa when four letters picked without replacement from zaazbzazzzazzzozz.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c. Let l be 20\/(1*2\/4). Suppose -m - l = -4*m + 4*w, 5*m - 5*w - 70 = c. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -370*o**2*z**3 - o**2*z**2 + 21*o**2*z - 3*o*z**2 wrt z.\nAnswer: -2220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-2 - (-6 - 4)) + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 - 19*g - 21. Let f be h(-8). Suppose -2025 = -2*m - f*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5122817 is divided by 1024557.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 321.945 + -322. Let y = 220 - 1097\/5. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20443, -20439, -20433, -20425, -20415, -20403?\nAnswer: -20389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58*383.056.\nAnswer: -222.17248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -3\/82 (c) -0.5 (d) 1\/2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a82 + -7?\nAnswer: -2a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q + q**4 + (-91*q**2 + 1241 - 1241)*(q**2 + 0*q + 0*q) - 3*q**4 + 4*q**4 + q**4.\nAnswer: -88*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920385 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.21 + 12.79. Let b = 12.999978 - n. Round b to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiifiifbbbfgbgfffbf. What is prob of sequence fib?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/(-182)*13?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111677\/24 + -4647. Calculate the common denominator of -157\/264 and l.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1510.\nAnswer: -7550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(315\/56))\/((-28)\/56)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898930896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from zrrprprzrpzprlprrr.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 8. Let x be (20\/(-12))\/(w\/9). Suppose -3*d - 3*v = 9, -v = x*d + 3*v + 10. Solve 1 + d = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3 + 20740*y**2 - 413300*y + 2064000 = 0.\nAnswer: 10, 4128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 5704066?\nAnswer: 5704104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(45)*-3 + -3 + sqrt(45)*-4 + 5.\nAnswer: -21*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/49 + (-48)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -2\/51, -2.094?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**2*x**3 + 14*q**2 + q*x**5 - 41*q*x**2 + 4*x**4 wrt x?\nAnswer: -36*q**2 + 60*q*x**2 + 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277 + -254. Suppose -183 = m*z - 24*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 92 = 3*o, 6*f + 3*o = 179 - 107 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10 = t, 0*y - 2*y + 4*t = 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 752*s**2 - 26*s + 9. Let n(i) = 1128*i**2 - 36*i + 13. Calculate 7*d(m) - 5*n(m).\nAnswer: -376*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, w: 10, j: 1, l: 1}. What is prob of sequence hh?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 23, 32, 25, -10, -85, -212?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*u**3*z**3 - 80*u**2*z**3 - 16*z**3 - 16*z wrt u.\nAnswer: -12*u**2*z**3 - 160*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*g - 2*q, 4*g + 5*q - 23 = -21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 39*u - 114. Determine h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7084 - 0.0659729.\nAnswer: 7083.9340271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -2, -26, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 10*y + 24. Let g be y\/11 + (-1176)\/66. Is 13 a factor of 13\/(-3*2\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 - 3787*u**2 - 14461785*u\/2 - 227527056.\nAnswer: -(u + 32)*(u + 3771)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 7076*p**3\/3 - 3172*p**2 - 376. Find the second derivative of r(q) wrt q.\nAnswer: 14152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66736, -66744, -66762, -66790, -66828, -66876?\nAnswer: -66934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 5*w**2 - w + 7. Let r be d(5). Suppose -r*y - y = -9. Suppose -16 = y*p - 2*l, -p - 7 = -l - 0*l. Is -1 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/48991 and -65\/440919.\nAnswer: 440919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21611.\nAnswer: 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + 42 = 0. Let b(v) = 958*v**2 - 8623*v + 72. What is the remainder when b(9) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*m + 27 = 0, 6*n - 3*n + m = 6. Suppose -3 - n = -g. Let d = 26 - 15. Calculate the remainder when d is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/2 - 3*i\/2 + 2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 76 + 120. Solve 3*v - 2*u - o = 0, 3*v + 10 = -5*u + u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3))**(-29))**(-1\/6)*(h**(2\/23)\/h**(-5))\/(((h\/(h*(h*h**(-3))\/h*h))\/h)\/h*h\/h**(-1\/7)) assuming h is positive.\nAnswer: h**(-3399\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8 = 2*w. Suppose 0 = w*a - 71 - 21. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167 and 2.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2975606, 2975604, 2975602, 2975600, 2975598?\nAnswer: 2975596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emyeyhyfyyfehoyyymye. Give prob of picking 2 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462*57236.\nAnswer: 26443032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1.3, -4\/269, -11, -0.38 in ascending order.\nAnswer: -11, -0.38, -2\/13, -4\/269, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -14*p - 44. What is the lowest common multiple of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09392 take away -0.1?\nAnswer: 0.19392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 240659*j - 3*j**4 - 240605*j + 1 + 24*j**3 - 63*j**2 - 1.\nAnswer: -3*j*(j - 3)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 14. Let f be u(-8). Let b = 27 - f. Let a = -20 - b. Solve 0 = -2*g - a + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 16. Suppose 0 = 3*t - b + 3. Let g be 6\/10 - (-6)\/(-15). What is the closest to -1 in t, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 280a?\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2275438*v**5 - 2306*v + 2271698*v**5 + 608*v - 2561*v wrt v.\nAnswer: -74800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/(36\/1260)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 5, 9\/7 in decreasing order.\nAnswer: 5, 9\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038356092 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (715 + -2 - -7) + -5. Suppose t = 12*i - 1985. Do 224 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from uiiqpfufn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 17430000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 304787, 4, -3 in increasing order.\nAnswer: -3, 4, 304787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843790 = 3943*z - 3716*z + 8655*z for z.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.267 - 0.267. What is the closest to 0.2 in i, -8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 79 (b) 0 (c) 28 (d) -10 (e) 0.04 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 + 6*c. Let q be f(3). Let x be (-1 - -2)*1*3. Suppose x*y + q*y = 21. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -240 - -448. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603597595?\nAnswer: 5, 1061, 113779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + g = 1, 3*m = 4*g - 2*g - 2. Suppose m = 12*z + 8*z + z. Which is smaller: -1\/589 or z?\nAnswer: -1\/589","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -80\/29 (c) 15 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/9, 8, 9\/928, -5 in descending order.\nAnswer: 8, 2, 2\/9, 9\/928, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.2, -3, 881, -6, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**5\/4 + 25*i**4\/16 - 65*i**3\/4 - 45*i**2\/8 + 405*i\/2 + 378. Suppose d(b) = 0. What is b?\nAnswer: -9, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 77*v**2 + 105*v - 2200. Calculate a(76).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2226*n**2 - 101*n**2 + 607*n - 300*n - 307*n.\nAnswer: 2125*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)\/(2\/(-6)). Let k = -22 + 24. Sort t, k, -3 in increasing order.\nAnswer: -3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 718172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2. Let r(w) = -133*w**2. What is r(z(d))?\nAnswer: -1197*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (-664)\/(1*2*(-74)\/740)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:01 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (8\/3)\/(8\/6*3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 321496 and 784.\nAnswer: 4500944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(273\/(-6)))\/((-2)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1631226 + -3?\nAnswer: -1631232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:43 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/20 - 7*j**4\/12 - 2*j**3\/3 + 4*j**2 + j. Suppose 9*y = 4*y - 30. Let i be w(y). Let q(d) = -d**2 - 5*d - 2. Give q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from jvvxjvjvzvvjiivvwjvv?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 461450 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 46 - 13 = -4*i, -4*i + 69 = -b. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 - 2347*p**3\/4 + 587*p**2\/4 = 0.\nAnswer: -587, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s - 2 = -3*h, -2*s = -3*h - 14. Let t = -2 + s. Solve -t*c + 0 = 2*n + 4, n = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 11. Let r be 0\/(s\/(-2) + 1). Suppose 3*c - 20 + 5 = r. Solve 25 = c*v - 3*a, -v - 28 = -5*v + 4*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -157882a - 14?\nAnswer: -1578841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5432911 is divided by 87?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11638*w + 9955.\nAnswer: -11638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-3 - (-4 - -2)). Suppose -7*p + 2*p = 2*f, l = f. What are the prime factors of 1\/((-3)\/(-21)) + p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -319916, -319937, -319966, -320003, -320048, -320101, -320162?\n\"Answer: -4*j**2 - 9*j - 319903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5974, -5993, -6012, -6031?\n\"Answer: -19*d - 5955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 2*y**2. Suppose 4*u = -0*u - 44. Let i = 19 + u. Let q(k) = i*k**2 + k**2 - 3*k**3 - k**3. Give 4*q(c) + 18*t(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, m: 2}. Give prob of sequence km.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*((j**2 + 0 + 0)*(-j**2 + 6*j**2 - 3*j**2) - j**4 - 2*j**4 + 4*j**4 + (j**2 + 18*j**2 + 6*j**2)*(0*j**2 + j**2 + j**2)).\nAnswer: -106*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 21012?\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/26 + (35\/28 - 9\/48*76)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10827 and 30.\nAnswer: 10857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112 (base 4) to base 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 3*d**2 - 3*d**2)*(0*d + d + 13*d)*(1 + 3 - 2)*(27 + 3 + 2)*(-7*d + 7*d + 5*d**2).\nAnswer: 8960*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 406?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 389 + -362.3. Let g = -32 + w. Let x = 5 + g. What is the smallest value in x, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4088.4475 and -5.\nAnswer: 4083.4475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5.3. Let j = -0.3 + s. Let q = 1 - 1. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 13115706.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 52. Let a(d) = -99*d - 1. What is a(k(l))?\nAnswer: -198*l**2 + 5147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -62, -210, -502, -986, -1710, -2722, -4070?\nAnswer: -5802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 34 = -4*m - 0 - 5 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1824543 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyrqaykvqkay. What is prob of picking 2 k, 1 a, and 1 q?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**3 - 4*z - 7*z - 11*z**2 + 15*z**3 + 9*z**2 to the form w*z**2 + l*z**3 + c*z + v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:05 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31442131003 - 3?\nAnswer: -31442131011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*3\/12)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67 take away -142138508?\nAnswer: 142138507.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b**3 + b**2 + 8*b - 8. Let n be 3 + (3 - 0) + -2 + -3. Is 2 a factor of r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 104671*d - 209338.\nAnswer: -(d + 2)*(d + 104669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = l - 20, -2*l - 4*j + 12 = -28. Suppose -l*s = -169 - 51. What is the lowest common multiple of (-10)\/(-6) - 1\/(-3) and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4475*p**3 + 21*p + 28 wrt p.\nAnswer: 26850*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717 is divided by 576.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**3 - 460*p**2 - 4184*p + 2208.\nAnswer: -4*(p + 12)*(p + 46)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74673456 - -145837263725\/1953. Let f = 65\/63 - m. Let g = -2830 + 22693\/8. What is the common denominator of f and g?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192*h**2*p + 190*h**2 - 2*h - 2*p**3 wrt p?\nAnswer: -192*h**2 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 8. Let w(z) = -z**2 + 11*z + 4. Let x be w(11). Suppose 4*m - x = 0, -m - 31 = j*v - 184. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from btbbbbtbtbbbbbb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puixukxupuuuuxuukuu. What is prob of picking 2 u and 2 p?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (8 - (1 + 5 + (-2 - 3)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let o be 9\/(-6) + (j - -1). Let w = 311 - 1553\/5. What is the nearest to 0 in o, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290.5226 minus 27.8?\nAnswer: -1318.3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.03 + -64.02996773. What is o rounded to six decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*v - v + 10, -2*q + 6 = -v. Let t(n) = -7*n**2 - 5*n - n**3 + 5 + 4*n**2 - 2*n**q - 2*n**2. Determine t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6735065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*y - 6 = -0*y, 2*y - 24 = -2*u. Let t(q) = 2*q**2 + 4*q - 1. Let d(a) = -6*a**2 - 13*a + 2. Calculate u*t(l) + 2*d(l).\nAnswer: 2*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*w + 1. Find the second derivative of 0*y + w*y**5 - 2*y**5 + 4*y + y**5 wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21944467\/4 and 5486118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -69993038 divided by 6?\nAnswer: -34996519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -156*v**4 + 5*v**3 - 3*v - 42. Let f(g) = 155*g**4 - 6*g**3 + 4*g + 42. Let u(p) = -5*f(p) - 6*n(p). Find the second derivative of u(l) wrt l.\nAnswer: 1932*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 7*b**3 + 12*b - 5*b.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjrrjr. Give prob of sequence jj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c + 2. Let q be (-12)\/(-42)*(-56)\/(-4). What is v(q)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-238 - (-5 + 11))\/(-2). Find the second derivative of -111*n**5 - 48 + b + 1 + n wrt n.\nAnswer: -2220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0 - u**2 + 78*u - 1\/6*u**3 + 7\/4*u**5 + 0*u**4. Let m(b) = b**2. What is m(g(w))?\nAnswer: 11025*w**4 - 210*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42929 is divided by 70.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let l(j) = 4*j + 2. Let n(w) = l(w) - 5*m(w). Let u be n(-2). Suppose -2*d = -3*i + 67, 2*d = i + 5*d - u. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*f - 1062, 4*f + 2*d + 1060 = 6*d. Let s = 325 + f. Calculate the least common multiple of 27\/4 - 1\/(-4) and s.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = -0*f. Suppose -9 = -f*w + 7. Suppose 21 + w = 5*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -3, 24\/121, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10.975557 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1544700 by 30.\nAnswer: 51490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*l**2 + 7*l + 0*l + 16*l**5 - 7*l wrt l?\nAnswer: 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3127 - 2785. Which is bigger: n or 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/10)\/(87\/12760*44).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17150402 or 17150398?\nAnswer: 17150402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -2*i. Suppose -f + i + 20 = 0. What is the highest common factor of 36 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 7, r: 7, o: 2}. What is prob of picking 1 o and 1 u?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*s - 77. What is the greatest common factor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 6*m + 21 = 0, 2*t - 4*m - 1132 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4264 = 110*t - 123*t. What is the greatest common divisor of t and 820?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**(-26\/7) assuming d is positive.\nAnswer: d**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2099*p**3*v**3 + 42*p**3 + 4*p**2*v - 18972*v**3 wrt p?\nAnswer: -12594*v**3 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 110102011 (base 3) to base 6\nAnswer: 105521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 + 6*x + 1. Let j be v(-6). Let y = -8 - -16. Suppose y = -4*b - 8. Put b, j, 0.2 in increasing order.\nAnswer: b, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2 + -3 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676292 divided by 5.\nAnswer: -676292\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 83950.\nAnswer: 83945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 156\/91*1*7. Suppose -2*z - 5 = c, -5*c + u - 1 = z. Let a be (8\/6)\/(4\/c). Put 5, -2, a in decreasing order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 927 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -274, -289, -322, -379, -466, -589, -754, -967?\n\"Answer: -k**3 - 3*k**2 + k - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123510202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*l + 32288, y - 3947 - 4125 = -l. What are the prime factors of l?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.039 and 263.33?\nAnswer: -4223.54987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2452 divide 137481188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 13*i**8\/336 - 11*i**5\/60 + 7*i**2. What is the third derivative of d(p) wrt p?\nAnswer: 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - (-2800)\/40)\/((2\/3)\/(7 + -11))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a century in years?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 138 - -31aa11?\nAnswer: 320049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4376 - 4603 + 1402)*(-1 + 1 - s).\nAnswer: 7577*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 4 - 4)*(l - 3*l + 3*l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let h = 0.37205 - -2.62795. What is the nearest to h in 0.2, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 68*v - 15. Let t be m(3). Suppose -6*r + 3*r = -81. What is the highest common factor of t and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -0.2, -6\/13, -0.1 in decreasing order.\nAnswer: 0.1, -0.1, -0.2, -6\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l*l**(-9)\/l)\/l*l)**(5\/6) assuming l is positive.\nAnswer: l**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017550 is divided by 9004?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44393610 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 21. Let g be x(-8). Solve -15*i = -g*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(130) + sqrt(130)*5 + sqrt(130)))\/(sqrt(30)\/(sqrt(24)\/sqrt(8))).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/400 and (-34)\/60*219\/(-5840).\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175232, 175234, 175236?\nAnswer: 175238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60841719 is divided by 10140283.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5382747 divided by 1\nAnswer: 5382747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0213 minus -0.016?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6\/(v**(-3\/7)*v))\/(v\/(v**(-1\/4)\/v*v)*v*v**(-1)*v))**(1\/36) assuming v is positive.\nAnswer: v**(89\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/24*36\/(-42)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*o + 388, -2*o + f = -331 - 73. Calculate the smallest common multiple of 100 and o.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/120*-10 + 9\/36?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2034 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56076 divided by 4.\nAnswer: 14019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0824 - 0.11355. Let i = 0.00414 + z. What is i rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7 - 5. Suppose -y*x + 0*x = -8. Find the third derivative of 2*r**4 + r**4 + 7*r**x - 84 + 84 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724 is divided by 505?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2 - 18300*v - 109692 = 0?\nAnswer: -6094, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.197km in meters?\nAnswer: 279197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + (sqrt(648) - -3*sqrt(648)))\/(sqrt(384) - (sqrt(384) + sqrt(384)*3)).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 64, 71, 82, 97, 116?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -61*x - 407. Calculate l(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 943*c + 209188. What is w(357)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2333*l**2 - l**3 + 6*l**3 - 2333*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-29 + -1 - (-2 + -3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 7 - 1\/2*v**2 + 2*v - 1\/2*v**4 + 2\/3*v**3. Give g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4\/7)*(w**(-10)\/w)\/w*w)**10)**(-1\/3))**21 assuming w is positive.\nAnswer: w**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/5*k**2 + 2\/5*k**4 + 0 + 12\/5*k + 0*k**3 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/4)\/(8\/2664). Suppose t + 117 = 9*u. What is the smallest common multiple of 110 and u?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 906 + a?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b**3 + 2*b + 2. Let u(j) = 13*j**3 - 3*j - 3. Determine 3*r(w) + 2*u(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4800478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 0*n**2 + 3\/2*n + 9 - 1\/8*n**3. Factor v(s).\nAnswer: -3*(s - 2)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1371, -880, -389?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*0.26.\nAnswer: 5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1453 - -1458. What is the closest to 0 in 26, v, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26820 divided by 4470?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.085 * 2\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -43 + 124 - (13 + 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268861 is divided by 38408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99943, -99943, -99941, -99937?\nAnswer: -99931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(8\/(-44) + (-58)\/(-440)). Which is the closest to 2? (a) 3 (b) y (c) -0.5 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 5643*r**2\/4 + 7826595*r\/4 - 380419175\/4.\nAnswer: (r - 47)*(r + 2845)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {f: 1, x: 1, p: 1, k: 4, m: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -4)\/2 + 30. Suppose -4*j - 5*p = -o, j + j + 2*p - 14 = 0. Suppose 0 = j*u - 56160 - 17640. What is u rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: e59b (base 15) to base 5\nAnswer: 3023041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*y + 3682 = -15720. Solve 116*v = y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u - 64 = -d, 0 = -5*u + 4*d + 173. What is the least common multiple of 6 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87706791, -87706788, -87706783, -87706776, -87706767?\nAnswer: -87706756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202*t + 201*t + 13 + 2*t**2 + 9 to z*t**2 + d + n*t and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4*18\/176*186\/18 and 1\/62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 42)\/(10\/2 + -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 + w + 1. Let p(s) = -5*s**3 - s**2 - s - 2. Let m(b) = -4*f(b) - 3*p(b). Let z be m(2). Suppose -z*q = q. Sort q, 4, 1 in increasing order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -626*23.3963\nAnswer: -14646.0838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(360) + sqrt(360) + 1*sqrt(360))*-2)\/(sqrt(288) - ((-4*sqrt(288) - sqrt(288)) + sqrt(288))) + -1)*-5)**2.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 134*4*(-6)\/(-16). Calculate the highest common factor of z and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 11. Let s be k(-6). Suppose -3*z - 3*n = 2*n + 2, -3*z + s*n + 38 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665544944 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.77764 and -13454781.\nAnswer: -13454780.22236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 2\/5 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**(4\/43)\/(r**(1\/9)\/(r*r**(-2\/7)))*(r*r*r\/(r\/(r\/(r*r*r\/r**(-5))*r))*(r\/(r*(r\/r**(4\/5))\/r))\/r)**14 assuming r is positive.\nAnswer: r**(-787646\/13545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 - 16.69\nAnswer: -16.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140447922*k**4 - 30139645*k**2 - 2*k + 1 wrt k.\nAnswer: -3370750128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/21*j**5 + 46\/7*j**3 + 4\/3*j**4 + 0*j + 36\/7*j**2 + 0 = 0. Calculate j.\nAnswer: -3, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-378)*-24)\/((-12)\/(-14)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -32671*a**2. Let z(w) = -142*w**2 + 63*w - 21. Let f(m) = -230*m**2 + 102*m - 34. Let r(v) = -21*f(v) + 34*z(v). What is l(r(c))?\nAnswer: -130684*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 2. Let l be w(13). Let m = 148\/3 - l. Sort 3, 2, m.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -196907.\nAnswer: -180\/196907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 280888168 at most as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.26 + -2.27. Let q = -247 + 248.152. Let t = g + q. Round t to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + p**2 + 9 + 4*p**2. Let n be t(0). Is 382\/18 - 2\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-8\/3))**(-2\/3))**0)**(1\/45))**(-12\/13) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 + (-8 + 0 - 10))) + -40?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.19 - 1.9. Let b = p + 0.91. Is 27 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 3, n: 7, j: 1}. What is prob of picking 1 j and 2 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*m - 10, -2*m + 1 + 19 = -2*i. What is the units digit of (45\/(-6) - i)*2 - -959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 31aab?\nAnswer: 31aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 80 = -36*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -225689.01 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 6 - -12 - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - z**2 + 0*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -20670676?\nAnswer: 20670677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 18. Let y = 12 - 9. Let f = y + -9. What are the prime factors of u(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - k**4 + (-k + 2*k - 3*k)*(3*k**3 + 2*k**3 - 3*k**3) + 5*k**3 - k**4 - 5*k**3 + 0*k**4 - 2*k**4 + 4*k**4.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, d: 1, q: 1, c: 1}. Give prob of picking 1 r, 1 i, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c**4\/6 - 3601*c**3\/2 - 895744*c**2\/3 + 2415182*c + 714384 = 0.\nAnswer: -1353, -198, -2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1.82\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 o when four letters picked without replacement from eoezvvorergroveee?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 212*s + 8 - 222*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = q - 9, 5*q = -5. Let n be ((-92)\/(-16) - t)\/((-3)\/(-8)). Find w, given that 0*w - 3\/7*w**3 + 0 - 3\/7*w**n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 16*o**2 + 352*o. Determine z(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -315, -377, -435, -489, -539, -585, -627?\n\"Answer: 2*n**2 - 68*n - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.7196 * -7.62\nAnswer: -13.103352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o**6*o)\/o)\/o))\/((o\/o**5)\/o))**20*o*(o\/o**(-2\/9))\/o*o\/(o\/((o\/(o\/o**(1\/2)))\/o))*(o*o\/(((o*o**1)\/o)\/o)*o)**(-8) assuming o is positive.\nAnswer: o**(-59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0595181056 rounded to 6 decimal places?\nAnswer: 0.059518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 6.2682808?\nAnswer: 0.125365616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 + -43517.2.\nAnswer: -43514.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:07 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-16)\/((-240)\/237)*170 and 316.\nAnswer: 5372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 5*w**8\/2688 + w**7\/560 - 77*w**6\/960 + 29*w**5\/96 - w**4\/2 + 5*w**3\/12 - 2*w**2 + 277. Suppose k(u) = 0. Calculate u.\nAnswer: -5, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/40 + 19002\/(-5). Round d to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.1 (b) 45 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852442?\nAnswer: 2, 89, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 946490.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-18)*(-24)\/16. Let o be (-3)\/34*4\/(-3). Suppose 3*m + 3*n = -0*m + 3, -4*n + 14 = -m. Sort m, o, l in increasing order.\nAnswer: m, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - n - 10. Let a(b) = b. Let j be ((-224)\/(-336))\/((-4)\/(-42)) + 32\/(-4). Determine j*r(p) - 4*a(p).\nAnswer: -2*p**2 - 3*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2 - -6) + 1 - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*p**2 - 111*p**2 + 178*p**2.\nAnswer: 251*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/5 - 1)*10. Are c and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6)\/((-1)\/122). Suppose a - 1 = 3*x. Calculate the remainder when 38 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122513?\nAnswer: 101, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4216945 and 216750973?\nAnswer: 1083754865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 674482 + -3950441084\/5857. Is a equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97661\/113970 + -294\/655. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*g**3 - 416*g**2 + 163*g**3 - 413*g**2 - 410*g**2 + 1239*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-1\/4)*f)**(-36)\/((f**2*f)\/(f**(-1\/2)\/f)))**45)**(1\/15) assuming f is positive.\nAnswer: f**(-405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1837 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345101*y - y**3 + 689301*y - 344200*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -14*x + 2. Let k be u(-4). Let c = k - 39. Let r = 59 - c. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11452 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/19209 and 61\/190.\nAnswer: 192090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 10 = -n, -17 = 3*n + 4*m. Let y(h) = 3*h + 8. Let p be y(-2). Let b(w) = 0*w**2 - 10*w + 5*w + p - 2*w - w**2. Determine b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 824 - 821. Which is the second biggest value? (a) -3 (b) w (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1846221 and -33\/3077035.\nAnswer: 9231105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231*a = 1226*a + 256265. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505038286093 + -0.1?\nAnswer: 2505038286092.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25 - 16) + 2\/1. Let m = o - -43. Solve -5*l = -2*l - 5*h + m, 2*l + 11 = -5*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + (21352912\/2241)\/(-112).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6220 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10 + 2 - 40*t + 11 - 12*t**2 + t**3. What is the hundreds digit of n(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 212, -468, -1148, -1828, -2508?\n\"Answer: -680*f + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/17724 and -1\/2587704?\nAnswer: 2587704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2059 - -2554. Let j = -3238 + h. What is the greatest common factor of j and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h*h**(4\/13)))))\/(h\/h**(2\/9)))**32\/((h*h**(-2)*h**3*h)\/(h\/h**(2\/3))**37) assuming h is positive.\nAnswer: h**(-2972\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2376\/(-10))\/12)\/((-6)\/20) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16151646 - 73.\nAnswer: 16151573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 85567.44 centuries in months?\nAnswer: 102680928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 6*w + 24 = 0. Let f(m) = -5*m**2 + 3*m - 4. Let a be f(w). Let z = 94 + a. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -4508, 5841, -4.\nAnswer: -4508, -4, -3, 4, 5841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 226516a (base 11) to base 2\nAnswer: 1111000110110001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834728.\nAnswer: 2, 13, 97, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74.7 - -75. Put -3\/5, x, 4, -0.5 in descending order.\nAnswer: 4, x, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.759 - -7.759. What is the smallest value in x, 62, 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263*i**3 + 815*i**3 - 107*i**3)*(-5*i + 3*i + i + 1).\nAnswer: -971*i**4 + 971*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 5*r**4\/12 + 48*r**2 + 133*r - 1. Let o(t) = 2*t**2. Determine a(o(s)).\nAnswer: 20*s**4 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76\/5 + 87\/5. Are 2\/15 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/96*6*(-1344)\/56. Let h(k) = 11 - 5*k + 0*k**2 + 1 - k**2. Give h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - t - 18 = 0, 1 = -l - 3*t - 5. Let i be (l - (-9)\/(-3))\/2. Solve -2*r + 4*r = i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-756)\/24)\/(-9))\/((-4)\/(-8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:49 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 12. Suppose -2*v - v = -j. Let k(g) = 3*g - 5. What is the least common multiple of v and k(5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:09 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8778, -8777, -8776, -8775, -8774?\n\"Answer: h - 8779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 108 = 97 + 93 - 250 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 246\nAnswer: -6150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*b**5\/5 - 732*b**4\/5 + 1576*b**3\/5 - 1168*b**2\/5 + 288*b\/5 = 0. What is b?\nAnswer: 0, 2\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 424877528.4 to the nearest one hundred thousand.\nAnswer: 424900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0*k**3 - 3*k**3 + 4*k**3) - k**3 - 2 + 2 + (-2 + 1 - 1)*(-6*k**3 + 5*k**3 + 5*k**3) - k**3 - 3*k**2 + 3*k**2.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**10\/166320 - q**9\/41580 - 7*q**4\/12 - 32*q**2. Let y(p) be the second derivative of v(p). What is h in y(h) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 5. Let o be m(12). Let b = o + -81. Are b and -123 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 3*v - 12. Give k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g, 0 = -4*r - 0*r - 7*g + 23. Which is the third biggest value? (a) -0.2 (b) r (c) -127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i + 18099. Let l(t) = -4*t + 1. Calculate n(l(y)).\nAnswer: -36*y + 18108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 15*y**2 + 27*y + 8. Let m be s(12). Suppose -3*z + 5*l + m = 0, z - 221 - 315 = -5*l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1945705 micrograms to milligrams.\nAnswer: 0.0001945705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 2:39 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/17 + 270*j**2\/17 - 12150*j\/17 + 182250\/17 = 0?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + a + 1. Let c(o) = 18*o**2 + 6*o + 6. Let z = 7078 - 7080. Determine z*c(s) + 12*m(s).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}