diff --git "a/data/dm_maths/full_data_1/1377_11255.jsonl" "b/data/dm_maths/full_data_1/1377_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1377_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of 3*d**3*f**3*p**3 - 3*d**3*f*p**2 - 13*d**3 - 56*d**2*f**3*p**3 + 2*d**2*f**3 + 2*d**2*f**2*p**2 wrt p?\nAnswer: 18*d**3*f**3 - 336*d**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:56 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850 and 153350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -f + 24 - 1, -2*f - 108 = -5*q. Let k = q + 0. Let c = k + -13. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 719\/5 + -144. What is the nearest to 11 in j, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**3 + 3*m**2 - 19*m - 26. Let z be i(-5). Let j = 648 - z. Solve -8*g - j + 20 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 q, and 1 f when four letters picked without replacement from zqyqyqfkykzzdd.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1 + (-54)\/(-20))\/(-4 - 15\/30).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 0*l**2 - 1\/3*l**5 + 0 + 2\/3*l**4 + 0*l**3.\nAnswer: -l**4*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 12 = -9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.898 + -0.2964.\nAnswer: -1.1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*v = 27, 35 = 93*i - 88*i + 5*v. Solve 4 = 3*l - f, 6*l - f - 4 = i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 12*z + 3. Let q be v(12). Suppose q*c = c + 4. Let l(r) = 0*r**c + 0*r - 4 + 7*r - r**2 + 2*r**2. Determine l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.8 - 26. Let s = v + 33.7. Let i = s + -30. What is the closest to -0.1 in i, -6\/23, -0.4?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2*r + r - 5 + (-3 + 1 + 1)*(-1 + 1 - r) - 3 + 6*r + 3 to the form a*r + v and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24902, -31250, -37592, -43928, -50258, -56582, -62900?\nAnswer: -69212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u)\/(u**(2\/7)\/u*u)*u**2\/u*u\/(u**1\/u)*u)\/((u*u**(2\/3))**(-21)*u\/(((u**0*u)\/u*u)\/u)*u\/(u\/(u**6\/u))) assuming u is positive.\nAnswer: u**(652\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*m - 3. Let i be (3\/2)\/(m\/2200). Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 480. What is the hundreds digit of j(-36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -45. Let q = 3 + t. Let n(g) = -g**2 + 5*g + 3. Calculate the remainder when n(4) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722976 and 72624?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*u + 2065 - 2065)*(-264*u**2 + 264*u**2 + 2*u**3).\nAnswer: 318*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(1 - 28\/16). Let r = i + 6. What is the lowest common multiple of 112\/6 + (-6)\/9 and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6033738, 6033901, 6034064, 6034227?\n\"Answer: 163*k + 6033575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - 3) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 5538*x + 16632.\nAnswer: -2*(x - 3)*(x + 2772)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 6, k: 2}. Give prob of sequence aa.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, 1 g, and 1 q when four letters picked without replacement from qoqtgrz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 162197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 4. Let h be m(2). Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700 and 94164.\nAnswer: 2354100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 210. Let z = p - -189. Calculate the highest common factor of 588 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4608\/(-16)*402\/(-9). Suppose 31*m - r - 5581 = 0. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 629 - 5?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 1.9. Which is the nearest to 0? (a) -0.3 (b) -3\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 5*j + 1, 2*p + 0*p + 4*j = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 1606\nAnswer: -13\/1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61657.\nAnswer: 61657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29300997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139374 - 9*l**3 - 139374.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.8529415 * 6\nAnswer: -5.117649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) -648066 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 57501*x - 12. Suppose -6 = 4*b - 7*b. Suppose 0 = z - b*v - 2, 2*z + v + 5 = 34. Let m be a(z). Round m to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -39*c**2 - 88*c - 4. Let y be t(-5). Let v = y + 841. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13191 is divided by 507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + 2)*(-10)\/3. What are the prime factors of 5 + (23 - m) + (-1488)\/(-2)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3000, -11712, -26224, -46524, -72600, -104440?\nAnswer: -142032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00258282193 rounded to five decimal places?\nAnswer: -0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3840.1 + -3840. Which is greater: 0.1592 or i?\nAnswer: 0.1592","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**3 - 22*z**2 - 29. Let x(h) = -3*h**3 + 10*h**2 + 14. Give 4*v(k) + 9*x(k).\nAnswer: -3*k**3 + 2*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 61 = 3*b, 701*m - 703*m - 9*b - 167 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5 + 4. Suppose 25 = 5*k, -f + 5*f - x*k = 1. Suppose f*b - 190 - 22 = 0. Calculate the remainder when b is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1250)\/(-40)*2*(-1)\/(-15). Let y(u) be the first derivative of -5\/2*u**4 - 5\/2*u**2 - b*u**3 + 12 + 0*u - 1\/2*u**5. Find r, given that y(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435 - 4524?\nAnswer: -5403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 17*a**2 - 16*a. Let y be ((-1 - -2)\/(-1))\/(-1). Let g be 12\/((15\/20)\/y). Let m be n(g). Sort m, -4, 1.\nAnswer: -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 168. Let s = w - 14. Suppose 0 = 7*g - s - 511. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f\/(((f*f**(-16\/3))\/f)\/f)*f*(f\/f**6)**(-2\/65) assuming f is positive.\nAnswer: f**(409\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 29*x - 13*x + 171. What is the highest common divisor of 13813 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.8 - 162.2. Let r = -193.1 - q. What is the second biggest value in r, -2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3 + 6616740*x**2 - x - 6616740 = 0?\nAnswer: -6616740, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(1730 - 1730 - 288*q) to the form w + b*q and give b.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/15 + 14\/(-105). Calculate the remainder when 22 is divided by (32 - v)*6\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 64\/12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2139 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -30342201133?\nAnswer: -30342201141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57575596698 less than 1?\nAnswer: -57575596697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**4)\/((u\/u**14)\/u)*(u**10)**(6\/13) assuming u is positive.\nAnswer: u**(203\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/30*10\/3. Suppose 10 = 4*v + 2*j, -z*v - 2*j + 3*j = -19. Let h = v + -2. Solve -2*n = -4*c - 30, h*c + 2*n + 0*n = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*i**2 + 4*i**2 - 2*i**2)*(3 + 2 - 4) - 4*i**2 + 2*i**2 + 15*i**2)*(-3*i**2 - 2 + 2) as l + d*i**4 + m*i**3 + o*i + t*i**2 and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 290 = -4*q + 633 - 267, 2*g - q = -2*g + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 0, 5*z = v - 2*v + 4. Suppose -i = -1 - 1. Differentiate i*f**2 + v + 1 + 2 - 5 wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/11, 6, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -1, 5 in ascending order.\nAnswer: -64, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-9)\/(-6))\/((-1)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 348 = -4*s + 370, 20 = 5*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**2 - 3*l + 3. Let r(m) = 4*m + 4. Let j be r(2). Let b = -10 + j. List the prime factors of d(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*g - 2309 - 1475 = -148*g for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*n + 514, -580*n + 3*r + 39032 = -282*n for n.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 989 + -949. Let l be 4\/(-14) - 3924\/(-14). Calculate the greatest common divisor of h and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 3*v**3 - 2*v**3 - 9*v**3 + 12*v**3 + 53*v + 17 as s*v**3 + w*v + m*v**2 + c and give w.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3527155 (base 8) to base 12.\nAnswer: 3a4979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + 675 = 0. Suppose -7*f + 2*p = -4*f - 52, -3*f - 2*p + 68 = 0. Suppose -u + f = -5*j. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 155\/2*j**2 - 635\/4*j + 5\/4*j**3 + 80 = 0.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 16 - 19)*(-6*x**2 + x**2 + x**2) + (3*x - x + 0*x)*(2*x + 0 + 0).\nAnswer: 152*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 16 (c) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2799 = -3*p - 661, -2*p + 1430 = -4*k. What are the prime factors of p?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*i - 8. Suppose -i*s = -509 + 145. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -8, -28646 in descending order.\nAnswer: 3, -5, -8, -28646","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2578752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2709496 = -5*g - 4*r, 5*g + 3*r - 7*r = 2709464. Suppose 6*q = 2*q + g. Let z = -63474 + q. What is z rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(612))**2 + sqrt(17))*-4 - sqrt(17)).\nAnswer: -2446 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 4. Let a(h) = -6*h - 21. Let t(b) = -2*a(b) + 11*m(b). Let i be t(4). Is 993\/3*(-1 + i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from gggbs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.6869 + 0.3131. Suppose 0 = -14*v + 9*v. Is v less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26688685 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -0.0983.\nAnswer: -3.0983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10305*t + 15442 wrt t.\nAnswer: -10305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.924818 kilometers to micrometers.\nAnswer: 9924818000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p + 18. Calculate the smallest common multiple of p and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 + -572. Let m = 19449\/50 + k. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqbqb. What is prob of picking 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (896\/(-1008))\/((-1)\/18). Solve -11*z = -15*z + y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -160*b**3 - 8*b**2 - 6*b + 1. Let t = 115 + -117. Is u(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2155 = -5*h, 3*i - 2*h + 1158 + 982 = 0. Let n = 742 + i. Calculate the remainder when 91 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199637 * -0.2\nAnswer: -39927.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoicw. What is prob of sequence wh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 212680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*((2*(0 + sqrt(242)) - (sqrt(242) + 4 + (sqrt(242) - sqrt(242)*1) - sqrt(242))) + 0))**2.\nAnswer: -3696*sqrt(2) + 15929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 119. Let x be 14\/21 + 4\/3. Suppose -1 = -3*k - n, 2*k = 6*k - 2*n + x. Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305229*o - 6 = -305232*o. Let -2*h - 1\/4*h**o - 4 = 0. What is h?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 14970 in descending order.\nAnswer: 14970, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 937725817112.\nAnswer: -937725817111.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/(1\/(-12)). Suppose -g*y - x + 20 = -2*x, -4 = x. Suppose f + 3*m - 4 = -5, 2*m - 6 = -y*f. Solve 0*u - f*u = -3*t - 19, u - 22 = 4*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a factor of 22201984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36 - (2 - (1 - 0)). Let v = 30 + -25. Calculate the greatest common divisor of f and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4242091 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 153053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2 + 3*o**2 - 2*o**2. Let u(x) = -2*x. What is i(u(f))?\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -129*y - 1157803 + 6265558. What is y rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 - w + 66. What is the smallest common multiple of x(0) and (-28)\/56 + ((-110)\/(-4) - 0)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Let o(x) be the first derivative of 32*x + 219 + 3\/2*x**2. Determine o(k(m)).\nAnswer: 3*m**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.920321 millilitres in litres?\nAnswer: 0.002920321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91826.426 * 0.05.\nAnswer: 4591.3213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2, g - 3*l - 5316 = 2609. What are the prime factors of g?\nAnswer: 2, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from qeeeqeeeeqeejeeje?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -144 + (-12 - (-2 + -2) - -2) - -14.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*d + 10, 3*k + 6 = 2187*d - 2184*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036 minus 6755.5060388?\nAnswer: -6755.4700388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 6*j**2 - 9*j + 47. Differentiate m(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 12*n**2 + n - 9. Is t(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -711 - -1036. Let v = p - 300. Calculate the remainder when 120 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516212261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9)**(-10\/9))**(-2\/41) assuming x is positive.\nAnswer: x**(20\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4893, 5225, 5581, 5973, 6413, 6913, 7485?\nAnswer: 8141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {o: 1, a: 1, t: 9, u: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -9.4. What is the nearest to 3 in 1\/9, q, -4\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**9\/100800 + y**8\/16800 - y**7\/8400 + y**5\/15 - 28*y**2. Let r(b) be the third derivative of n(b). Solve r(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 259. Let h = b + -217.00313. What is h rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26016 + -5?\nAnswer: -26023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -1\/24*j**4 + 0*j - 2*j**2 + 0 - 4\/3*j**3. What is p(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 45*l - 274. Let p be b(7). What is the smallest value in 2, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)\/g**(-1\/17))\/(g\/g**(-19)*(g**(2\/9)*g*g)\/g) assuming g is positive.\nAnswer: g**(-4921\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2702504 and 12124.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x - 31. Let u = 32 + -43. Does 5 divide s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31014 is divided by 377?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*l + 4*t + 28, -2 = -2*l - 2*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*k = -k - 60, 0 = 5*t - 2*k - 354. Suppose -3*j + 78 = 2*n + 22, 4*n - t = -4*j. Let w = 0 + 5. Calculate the greatest common divisor of w and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7515)\/6012)\/(((-12)\/(-56))\/((-4)\/(-14)))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8\/109, 22.\nAnswer: 8\/109, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 3069.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24045300 rounded to the nearest one hundred thousand?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276843 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*g + 3*j + 4, 0 = -4*j + 20. Suppose -g*b + 3*q = -b - 10, -b + 2 = q. What is the remainder when 6 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*r - 827*k + 823*k, r - 8 = -3*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2) + (-1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79519256 = 3*r - r + 3*h, 3*r - 3*h + 119278914 = 0. Let k = r + 27059634. Round k to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -86*u + 772. Let x(w) = -47*w + 385. Determine 6*c(k) - 11*x(k).\nAnswer: k + 397","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178098977.\nAnswer: 7, 74177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 24*n**2 - 148*n - 100. Let d be q(-14). Let w(i) = 3*i - 79. Give w(d).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -39 - -25 - (12 + 0 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.824394723 - 32.6.\nAnswer: -72.424394723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -344034 - 31052?\nAnswer: -405116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 850179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-2) + -14 + 11. Suppose -p - 4*v + 33 = 0, -2*p = -m*p - 4*v + 139. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4461 and 588365751?\nAnswer: 4461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (151\/8305)\/((-9)\/((-594)\/(-12))).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3659568379 to the nearest integer?\nAnswer: 60494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/714)\/((-2)\/14). What is the nearest to 0 in f, 2\/5, 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9 - 9 = y, 5*y = 4*h - 174. Let c be 24\/56 - y\/(-7). Sort c, -1, 4, -4 in descending order.\nAnswer: 4, -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 3016000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1, 6, -2 in increasing order.\nAnswer: -33, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o + o + (4 - 6 + 3)*(-1 + 1 - 2*o) + (5 - 1 - 2)*(-4*o + 6*o + 22*o).\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 9405 = 48293 - 83. What is the highest common factor of a and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82993319173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - n - 1470*n**4 + n + 1473*n**4 - 16*n**2 + 2*n**3 in the form c*n**2 + x*n + t + v*n**4 + j*n**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -438. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(1 + 6\/(-2)). Suppose -y*u = u - 10. Calculate the common denominator of -101\/2 and u\/12*9\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -525108.53824 - -524665.5. Let m = -443 - i. Let s = m - 0.04. What is s rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 82 = 24. Let w = a - -60. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/(-70)*(-21)\/9)\/(2\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1566 divided by 6\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -14 + 6 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 13.9089.\nAnswer: 0.834534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84050 is divided by 12005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-2 + -1 - -5) + 15 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 4937.\nAnswer: -12\/4937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -641254, -2564965, -5771144, -10259785, -16030882, -23084429?\n\"Answer: n**3 - 641240*n**2 + 2*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 w, and 2 r when four letters picked without replacement from rrwlwwlrirrrlw?\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-1101.\nAnswer: -880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 17 = 4*b, 7*y = 3*b + 5*y + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k + 2. Let x be p(-4). Let y(o) = 2*o**2 + 3*o + 3. Let w be y(-3). What is the greatest common divisor of w and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 4, j: 1, w: 2}. Give prob of sequence im.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 16*m - 15. Suppose s - m*u - 3 = 0, 0*s + 2*u + 22 = 4*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/36)\/(175\/360).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {i: 3, w: 3, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 2:28 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/4*(-32)\/6. Suppose 0*o - p = -8*o. Suppose g + 0*g - o = 0. Solve -3*i = 0, 0 = -3*n + 5*i + g - 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 3. Let c be a(6). Let i(n) = n**3 - 4*n**2 + 3*n. Let w be i(c). Suppose l = w, -3*x + 4*l - 3*l = -93. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4569, 18311, 41215, 73281?\n\"Answer: 4581*x**2 - x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -832 divided by 8.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 520601180.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 6*t - 3. What is the least common multiple of -1 - (-2 - -3) - -18 and b(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2010 = 7*q. Suppose -9*a = -2001 - q. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 506 and 368?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138*h*s**3 - 3*h - 12281*s**3 wrt h.\nAnswer: -138*s**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f0 - -d4229?\nAnswer: d3e39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4864 and 39672?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 22101235*g.\nAnswer: 5*g*(g - 4420247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 3, r: 4, e: 2, k: 6}. Give prob of picking 2 k and 1 g.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 4, s: 2, j: 2, y: 7, i: 4}. Give prob of picking 1 i and 1 f.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 4800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -0.6, -1, -2\/11, -1\/84?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {g: 3, c: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3822 = 3822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.97 times -0.1\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*m + 51 = 31, 4*m = -5*n - 40 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2221 = -225. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3 = 0, 22*v - 27*v - 42*y = 236 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -11*y + 14, 0 = 6*k - 5*y + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*l - 107. Let r be (l\/12)\/((-7)\/252). Let d = -89 - r. Calculate the remainder when 11 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, 3, 112?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -355305 (b) -2 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11200303320 (base 4) to base 2\nAnswer: -101100000110011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -76853 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 22997 = -3*v, -2*k + 7*k + 7679 = v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*r = -26 - 44, z - 94 = -r. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(121))\/(sqrt(275)*-1).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -2 + (-1 - 5) - -10) + 50\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0087*-25200.\nAnswer: 25419.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((2 + sqrt(325) + 1 - sqrt(325)) + -3 + 2*sqrt(325) + -3)**2 - (3 + (sqrt(325) + 2)**2 + 1 + -1)).\nAnswer: -80*sqrt(13) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5 + 1. Let w = 3173 + -3057. Calculate the greatest common factor of w and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 4 - 1 - x**2 - 2 as p*x**2 + c + i*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 5, -5, 6, 3 in descending order.\nAnswer: 6, 5, 3, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111102 - 21122?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000711 rounded to five decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -68216.734?\nAnswer: -68212.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {c: 5, v: 1, z: 3, q: 4}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -50, -83, -128, -185?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 25*w + 7. Let x be k(-12). What is the common denominator of -17\/22 and (98\/48)\/(x - 112\/(-21))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34980.416 - -34742. Let t = p + 238. What is t rounded to 2 decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4745.88 rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**5 - v**4 - 2*v**3 + 4*v**2 - 4. Let h = 94 + -106. Let j(p) = p**4 + p**2 - 1. Let x(f) = h*j(f) + 3*q(f). Factor x(i).\nAnswer: -3*i**3*(i + 1)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**2 - 1 - 2 + 2. Let h(a) = 5*a. Calculate h(y(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6619?\nAnswer: 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1685*n**2 - 399*n**2 - 410*n**2 - 878*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, -14, 2\/9, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 6*h - 7. Let m be w(6). Calculate the common denominator of 454\/(-28) - (-2)\/m and 9\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y. Let t be h(1). Let l be ((-1)\/t)\/(-2 + 3). Is l bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*y + 65*y - 146*y + 126. What is the smallest common multiple of 3 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -7. Let n be j\/3*(-3 - 3). Solve 4*b - 4*t + 24 = 0, 3*b - 4*t + 23 = n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -27. Let m be -5 + (-3 - k) - -6. Let c(s) = s**3 - 6*s + 7*s + 0*s**3 - 3 - 8*s**2. Calculate c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25802378 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = x + 3, 3*p = -5*x + 37. Which is the closest to 1? (a) 4 (b) -1.8 (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (2 + 0 - 28188\/(-3538))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00197 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = -5*p - 41, 2*p + 8 = n. Suppose -i + n = -25. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(249\/(-63) - -4). Let t = 40 + r. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 14*u**2 + 1\/160*u**5 - 1\/32*u**4 + 0 + 0*u - 3\/16*u**3. Factor h(d).\nAnswer: 3*(d - 3)*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15645 or 15644?\nAnswer: 15645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33999488729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20025854539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiit when four letters picked without replacement from {i: 5, t: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9*y = 35. Suppose 0 = y*u + r - 139, r - 67 = -2*u - 9. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 26*u - 26. Calculate v(23).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277\/143 + 23\/11. Which is the closest to 0? (a) -1 (b) -1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 6*x - 4. Let q be o(5). Let h be (5 - 6) + (q - 0). Suppose h = -5*k - m + 138, 0*m + m - 111 = -4*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.01098.\nAnswer: 0.11098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (90\/(-25))\/9 - (102\/(-5) - -6). Solve 27*z - 13 = x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-72)\/(-5))\/((-3)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 1\/2, 2\/17, -8420.82?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (0 + -8 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3830 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-12) - (-2)\/(-3). Suppose q + o*q - 102 = 0. Suppose 31*a = 789 + 792. What is the greatest common divisor of q and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, o: 1, z: 8, h: 2, r: 3}. What is prob of picking 1 z and 1 r?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 69*s**2 + 3*s - 2. Let c be g(1). Let w be (-2)\/(-1) + (-170)\/c. What is the smallest value in w, 0, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -172468956 equal to -172468956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 1 - (-197 - -214)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(-2 + 3 + 0) - 2 + 3 + 0 + 0 + 0 + 1)*(-9*w - 10 + 10).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13046 + -1796. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6272\/264 - 24)*(-15)\/(-10))\/(-4 - 10).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(147) - ((sqrt(432) - (-1 + sqrt(432))) + sqrt(432) - sqrt(108)*-2).\nAnswer: -66*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18\/455, 0.1, 3, 2, 0.15, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = 4*u. Suppose u*b + s + s = 14, 3*b - 4*s + 14 = 0. Suppose -1056 = -4*y - b*y. What is the highest common factor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70914 or 0?\nAnswer: -70914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(78)\/(3*sqrt(6)) + sqrt(13)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(81)*-6).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4870, -4983, -5172, -5437, -5778?\n\"Answer: -38*m**2 + m - 4833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -143.377.\nAnswer: 716.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 641703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 11:15 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -3*i + 1, -5*c = 20. Suppose 0 = -0*s - 3*s + i. Let r = s + 0. What is the smallest common multiple of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-2 + (-1*sqrt(95))\/sqrt(5))*6)**2 + (sqrt(171) + (-4 + sqrt(171))*6 - sqrt(171))**2 + 1).\nAnswer: -7561 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(-25)*w*w**(-27\/2)*w*w**(2\/3) assuming w is positive.\nAnswer: w**(-295\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7125*-1\nAnswer: -7125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4767 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124785*u**2 + 333 - 333 + 124640*u**2.\nAnswer: -145*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67730464 to the power of 1\/2, to the nearest integer?\nAnswer: 8230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 142.5 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 15*p**2 - 2. Let z be h(15). Is (-4)\/(-8)*z\/(-1)*1277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7))**(-34))**(-16) assuming u is positive.\nAnswer: u**(-1088\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 19 = -t - 3*o, o = -3*t + 43. Suppose 2*f - 56 = -t. Solve -f = 8*v - v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439638342 to the nearest integer?\nAnswer: 20968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 - m + 3. Let u be j(0). Let v = u + 50. Suppose 4*g + 5 - v = 0. Solve 0*p = -4*p - 16, -p = -4*a + g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733156 is divided by 8624?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 10 - 10. Suppose s = 8*p - 0*p - 160. What is the least common multiple of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 30241\nAnswer: 4\/30241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 4. Let k be 6\/10 - 22\/(-5). Suppose k*c = c. Calculate d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Let h = 67.7 - 65.7. What is the closest to h in 5, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*((n**(-2\/3)*n)\/n*n*n)\/n)*n\/n**6)\/(n*n*n**(2\/5)\/n)**16)\/((n**(1\/4))**27\/(n**1\/((n\/(n\/(n*n**(-6))))\/n))) assuming n is positive.\nAnswer: n**(-1649\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-910)\/(-60)))\/((-172)\/172)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 7*z + 4. Let m be x(4). Suppose m = 4*k - 12. Suppose k*j + 5 = w, -4*w + 5*j + 2 = -3. Solve w*i = -i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65684, -131669, -197654?\nAnswer: -263639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599150?\nAnswer: 2, 5, 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 101*q - 102. Let s(i) = 24*i + 2. What is -d(g) + 4*s(g)?\nAnswer: -5*g + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29 + 33)*((-10)\/(-8) - 1). Let w(d) = -d - 6 + 4 + 3. Let y(x) = 15*x**2 + 7*x - 4. Let b(v) = h*y(v) - 2*w(v). Factor b(r).\nAnswer: 3*(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/(-738)*36)\/(-2*13\/(-3)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 26, 45, 68, 95, 126, 161?\n\"Answer: 2*n**2 + 9*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13682 - 13682.01. What is the nearest to -1\/4 in -161, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z = 1932, l - 29427 + 29084 = 5*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/6 - 2*d**2 - d. Calculate i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.87 - 0.13. Let l be (5 + -4)*(-6)\/2. What is the closest to 1 in -0.1, l, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/14 and 43\/9422.\nAnswer: 9422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (33 - 13)) + -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 0*b**2 + 5*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*z = 129*z + 30. Suppose -3*n - 35 = -7*v + 2*v, -2*v = -5*n + 5. Suppose -h + v = -10. Calculate the smallest common multiple of h and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 1 - 1)*(0 + 0 - i) + (-979 + 0*i - 2*i + 904)*(-3*i + 3*i + i)*(i**2 + 4*i**2 - i**2).\nAnswer: -7*i**4 - 300*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.099668125+-0.2\nAnswer: -0.299668125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2979183, 5958367, 8937551, 11916735, 14895919, 17875103?\n\"Answer: 2979184*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 0*x + 102 = 0. Suppose -18*j + x*j - 5 = 0. Is -1*((-8 - -4) + j) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -3a?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (-24)\/9 + (-1540)\/(-132).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 32 + -44 + -15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55350 and 24300.\nAnswer: 996300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/((-102)\/21 + 2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 2*sqrt(180) + sqrt(180) + 0))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.03, -4\/9, -1.02, -4\/5, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 14 + 9 - 35*k.\nAnswer: -35*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.474 - 0.526. What is the second smallest value in l, -30, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -109*z + 107*z + 44, 44*z - 308 = 19*j + 315 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 197672 and 0.04.\nAnswer: 197672.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*m**2 + 13957*m - 6994*m - 6963*m + 3*m**3 = 0. Calculate m.\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96301*l**2 + 17732*l - 105.\nAnswer: (79*l + 15)*(1219*l - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6150658 to the power of 1\/2, to the nearest integer?\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 6. Let d be k(4). Let r(u) = -12*u - 3. Let z be r(d). Suppose z = -3*t + 4*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34095752 a multiple of 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -4)\/(-3) + 5. Let u be 1*7 - (-46 + 39). Suppose -x*o - 8 = -u. Solve 4*w = o*z + 22, 0 = -z - 0*z - 4*w + 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232 + 2013211?\nAnswer: 2020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 n when three letters picked without replacement from lbstlbsstsstttnx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let l(k) = 253*k - 1. What is -l(t) + 6*m(t)?\nAnswer: -259*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*c - 40. What is the derivative of -323*b**4 + 666*b**c - 55 - 288*b**4 wrt b?\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*z - 510*z - 69131 = -362*z for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11400 and 1697800.\nAnswer: 96774600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 7*s**2 - 4*s - 20. Let w be 897\/(-126) - (-6)\/21 - 392\/2352. Calculate u(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(1\/3). Is -3 + (2 + 55 - l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Let m(g) = -2 - 3 - 2*g + 4*g - t. Let s be m(6). Solve s*a + 4*r + 11 = 2*r, r - 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009696426 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, z: 3}. Give prob of sequence zzzf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6026425946 + 0.8\nAnswer: -6026425945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4.54195 times -0.5\nAnswer: 2.270975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -199, -203, -207, -211, -215, -219?\n\"Answer: -4*g - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6308, 5423, 3964, 1931, -676, -3857?\n\"Answer: -287*c**2 - 24*c + 6619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/108575 and -55\/9374.\nAnswer: 23669350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(12)\/sqrt(4))*-4 + 0 + -3)**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45402\/1175)\/69*5.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:20 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 16*b + 6 - 47 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 - 188 = 0. Let z = i + -36. Let f = z - 36. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 9 - 21. Let r(i) = i + 66. Let q(t) = -t - 85. Let s(g) = 4*q(g) + 5*r(g). Give s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let k(m) = 144*m - 27. Let u(i) = -11*i + 2. Let p(x) = 2*k(x) + 27*u(x). Determine t(p(d)).\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -3, -36, 11248, -0.4 in ascending order.\nAnswer: -36, -3, -2, -0.4, -0.3, 11248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412723, 412728, 412733, 412738, 412743?\nAnswer: 412748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c**3 + 813895*c - 813896*c + 40*c**3.\nAnswer: 86*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -104653.91193.\nAnswer: 104654.01193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(72))**2 - sqrt(2))*-4*5.\nAnswer: -120*sqrt(2) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f - 1. Let x be z(-1). Let h be 4\/(x*(-4)\/(-6)). Suppose -56 = -h*a + 2*a. What is the highest common divisor of a and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13262785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:50 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 10. Suppose -z + 1 = -4*n, 0 = 5*z + 5*n - 10*n - 20. What is the third smallest value in -2\/5, f, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as 2\/1033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvuuuvvuuuuvuuuvv. What is prob of sequence uv?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4434 (base 8) in base 14?\nAnswer: -bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1533)\/(109590\/(-910) - -120)\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 4*l**2 + 2*l)*(0 - 2*l + 0 + (-1 + 1 - 2)*(1 - 2*l - 1)) + 0*l**2 + l**3 + 0*l**2 + (-4*l + l + l)*(-l**2 - 2*l**2 + 2*l**2).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + z = 3*c + 12, -4*z + 8 = 0. Let r = 1 + c. Put -3, -4, r in descending order.\nAnswer: -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1306614 and 6018?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:54 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -2\/1463, -4, -3?\nAnswer: -2\/1463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 2. Let p = t + -11. Which is greater: p or -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let u(s) = 6503210*s. Determine b(u(o)).\nAnswer: 42291740304100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310 divided by -5.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 15\/128 (c) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564516*v - 494189*v - 1398248*v - 849944*v.\nAnswer: -2177865*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -16 (b) -22 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -148.\nAnswer: 9\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3 - 4*n - 6 + n + 2*n + 10. Let t be 96\/(-10)*-1 + 32\/80. Suppose 6*j - t = f + 3*j, -3*f - 3*j = -6. Give g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**4 - 1942*k**3 - k**2 - 3*k + 1494?\nAnswer: -72*k**2 - 11652*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrr. Give prob of sequence rz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4425 and 75?\nAnswer: 4425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**4 + 62*q**2 + 0*q + 2*q**3 - 3*q**4 + q - 67*q**2 in the form b*q**3 + i*q**4 + k*q + t*q**2 + s and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-10) - 117\/(-45)) + 1. Calculate the highest common divisor of 6 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -43. Let m be -1 + a - (3 - 5). Let q = -188 - -190. Solve m = -q*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:14 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b - 23*b - 874 = 0. Suppose 0 = -0*t + t - 12. Calculate the remainder when b is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 8*z - 27. Solve 0 = 3*n - z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - 5*f**3\/6 + 3*f**2\/2 - 194*f. Determine z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -8836809 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -104. Let w be 135\/(-278) - 2\/(-4). Let s = -296\/1251 + w. Do z and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) 0.27 (d) 267\/88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 + g - 6. Let z(b) = 5*b**2 + 5. Let l(c) = 6*r(c) + 7*z(c). Let s be l(7). Let n = 37 - s. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 + 968\/(-33) + 1\/(-2) and -125\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 16) to base 8.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*f**2 - 47*f**2 - 8 + 8.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 7)*(5 + 3*t - 5) + t + 3*t - 2*t.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-2 - -1 - 1 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283 by -1331.\nAnswer: -283\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -55*v + 11. Let i be k(-6). Suppose 0 = -2*u - 3*t + i, -t = 2*u + u - 529. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*p - 128*p + 245*p - 12*p**2 - p**2 + (-p + 5*p - 2*p)*(p - 1 + 1) in the form o*p + l*p**2 + y and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/3))**39)**3 assuming r is positive.\nAnswer: r**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3\/8, -2\/15, -325, -0.05, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37598, -75174, -112740, -150290, -187818, -225318, -262784, -300210?\n\"Answer: d**3 - d**2 - 37580*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/18)\/((-2)\/(-93))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127260, 254503, 381734, 508947, 636136, 763295?\nAnswer: 890418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.4 (b) 3 (c) -2\/19 (d) 1.86 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-195)\/26)*30\/(-240)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*o - 45, 34 = -5*d - 2*o - 1. Let f(n) = 4*n**2 - n + 7. Let k(w) = -3*w**2 + w - 5. Let i(r) = d*f(r) - 7*k(r). Factor i(l).\nAnswer: l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4 and -5\/1888.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1*6*-1*-1.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 16. Let d be z(-5). Suppose -3*t - 60 = -d*t. Let x = t - 55. Solve 0 = p - 4*q + 6, -5*p + 0 = x*q - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = 38 + 22 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f - 69. What is n(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31303 (base 6) to base 3\nAnswer: 12210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663307226.\nAnswer: 2, 79, 643, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Suppose -2*l + 4*i = 10, -4 = -l - i - 6. What is the remainder when 10 + (0\/l)\/1 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, -2718 in decreasing order.\nAnswer: 13, 1, -2718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -95. Let s = x + 69. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1288 divided by 87.\nAnswer: 1288\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 42 = 3*t + r, -5*t + 70 = 2*r. Let x(h) = 25*h - 4. Let p be x(1). Let d = 48 - p. Calculate the remainder when d is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20246\/7 - (-16)\/(-56).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -15*d**3 - d - 1. Let o = 11 - -30. Calculate the remainder when u(-2) is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 + 3*l**2 + l**2 - 4*l**2 - l**2 - 8*l + 1296 to the form z + s*l**2 + y*l and give z.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -8\/3*v**3 - 3 + 0*v**2 + 0*v. Let s(y) = y. Determine s(z(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 4*p - 3. Let x be (-15)\/2*172\/(-215). Let q be -3*(-4 - -6 - 4\/x). Calculate o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86048, 5, -4 in decreasing order.\nAnswer: 86048, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - c**2 + 4*c**2. Suppose 0 = 2*f - 10, -5*x - 5*f = -14 - 11. Let q(j) = 2*j**2 + x*j**2 + 0*j**2. Give o(q(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z - 4*m + 20 = 0, -z - 2*m = -10. Let r(v) be the second derivative of -7\/2*v**2 + 0 + v - 1\/6*v**3. Determine r(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*m + 36 = 0, 5*r - m + 6*m = 135. Let j = -78 + 90. Let c be j\/(-9) + (-40)\/(-12) + 34. What is the greatest common divisor of c and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a**4 - 55*a**3 + 160*a**2 + 285*a - 450 = 0.\nAnswer: -3, 5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:25 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j**2 - 16*j - 212. Is i(14) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nawa when four letters picked without replacement from iunnniawaa?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iihhhhhhh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10420.81 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.9, 1\/4, -2\/19 in increasing order.\nAnswer: -2, -2\/19, 1\/4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(15) - (sqrt(15) - 3*sqrt(60)\/sqrt(4)))\/(sqrt(20)\/sqrt(4)*6) + -2.\nAnswer: sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 + 4*w - 2. Let g(c) = -11*c**3 - 8*c + 5. Let o = 2 - 0. Let v(i) = o*g(i) + 5*z(i). What is the second derivative of v(p) wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 9*q - 180 = 0. Solve q = u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5979298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.4605 litres to millilitres.\nAnswer: 92460.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11149883, -11149896, -11149911, -11149928?\nAnswer: -11149947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 1094 = -10*z. Let q = -95 - z. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2954\/17 + -174. Which is the third smallest value? (a) -0.3 (b) 3\/7 (c) 2\/21 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 2, 0 in descending order.\nAnswer: 39, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + 0 + sqrt(288)) + -1*((sqrt(72) - (sqrt(72)*1)**2) + -3).\nAnswer: -30*sqrt(2) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101011011011001111?\nAnswer: -101011011011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -1\/3*h**3 - 5*h - 3*h**2 + 47. Factor a(s).\nAnswer: -(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u**2 - 6*u - 7. Does 13 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 19.5. Let j = -0.3 + -0.7. What is the closest to -1 in j, 4, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 + 57 + 27)*(-4*h + 0*h + 6*h + (-h + 2*h - 2*h)*(1 + 1 - 3) + 2*h + 5*h - 6*h + 4*h + h - 3*h).\nAnswer: 1032*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(98) - sqrt(98))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9085, 18165, 27241, 36313?\nAnswer: 45381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56930, -56924, -56920, -56918, -56918?\nAnswer: -56920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -444*f + 448*f + 44, -6 = -j. Let y = -0.2 - -0.1. Is y equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 5, 4 in descending order.\nAnswer: 7, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123, -146, -173, -204?\n\"Answer: -2*l**2 - 17*l - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*(-352)\/(-572)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10 + 58 - 28 + 4*r - 3*r. Let c(q) = 6*q**2. Calculate c(w(t)).\nAnswer: 6*t**2 + 480*t + 9600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10 - 10, -3*a + 4*l + 14348 = 0. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 + -16 - 53 - 22) + 32.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1781293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13006922 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -227*b - 215. Calculate the remainder when 2903 is divided by d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q + 17. Let i(d) = 16*d - 35. Determine 4*i(v) + 9*z(v).\nAnswer: v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2638 + -1259?\nAnswer: -3897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.644075 millennia?\nAnswer: 36.44075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/445 and 41\/4183.\nAnswer: 20915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.02 (c) -5\/6 (d) 6 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 87*r**4 + 1224*r**3 + 1041*r**2 - 2196*r - 156 = 0.\nAnswer: -13, -2, -2\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.2 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5674*u - 1552. Let p(i) = 5675*i + 1592. Let t(l) = -4*p(l) - 5*q(l). What is the derivative of t(f) wrt f?\nAnswer: 5670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -20*j + 25*j - 1, -2*i = 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7619 + -7192. Calculate the remainder when v is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 180788541 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5 - 48*y**4 - 392*y**3 - 1140*y**2 - 182*y + 1764 = 0.\nAnswer: -9, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1803 - -1803.3. What is the second biggest value in p, 162, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:37 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 10 (c) -1 (d) -77.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 2*p)*(-2 + 1 - 5)*(-104*p + 203*p - 113*p).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*q**4 + 2*q**2 - 2876*q - 30429 wrt q.\nAnswer: -32*q**3 + 4*q - 2876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7007965000 to the nearest 1000000.\nAnswer: -7008000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*p**3 + 275*p**3 - 138*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*h - 40*h + 3*a + 1846, -928 = -2*h + 4*a. Let i = -452 + h. What is c in 3\/2*c**3 + 0 + 1\/4*c**4 + 0*c**2 - i*c = 0?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314 - 329. Let r be 1\/(55\/b + 4). Solve 2*u + 1 = -m - r, 5*u + 16 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Suppose -k*g + 312 = g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -2\/9, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -58, -81?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 647614 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) + 135\/50*2. Factor 6*w**5 + 4*w**3 - 3*w**3 + 3*w**3 - 10*w**o.\nAnswer: -4*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 + 14*q**2 + 17*q - 17. Let z(t) = -4*t**3 - 13*t**2 - 16*t + 16. Let i(c) = -5*a(c) - 6*z(c). List the prime factors of i(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -22425960*q**3 + 23173372*q**2 - 747408*q - 4 = 0.\nAnswer: -1\/186883, 1\/30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 23 = -5*p. Suppose -5*w + 3 = -2*f, -3*f - f = w - p. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.35, -10, -8, 82, -9?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2826 - -2834) + (-11 + 1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4090482 to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -20. What is the first derivative of 8*o + n - 15 + 5 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*0.179\nAnswer: 0.02327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1115 - 1398.4. Round v to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, e: 1, v: 2}. What is prob of picking 2 v and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v - 1. Let t be g(0). Sort 0, t, -6, 5 in ascending order.\nAnswer: -6, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 132283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7358 and 5863.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 13*n - 456 = 13*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.06 - -0.06. Let m = l + -2.2. Round m to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 32*s + 17 - 4*s in the form t + i*s and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-37 - -25 - (0 + 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 - (5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*c - 55 = 0, -4*a + 4*c = a - 81. Suppose 5*p + 244 = 2*o, 75*p + 587 = 5*o + 74*p. What is the greatest common divisor of o and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -5*sqrt(612) + -5 - sqrt(612)*5*2.\nAnswer: -84*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205224580 less than -1?\nAnswer: -205224581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 12, 49, 110, 201, 328?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187.6945624 - -0.8.\nAnswer: -186.8945624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*l = -4*v - 105, -5*l = -4*v - 80. Let i be (-15)\/(v\/(-5)) + -3 + 6. Solve 4 = -4*z - i*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 54 - 32*f + 55 - 13*f - 190.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003970351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16\/196*63\/54\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 3, l: 6, y: 2, i: 1}. What is prob of picking 1 m and 2 l?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s**2 + 2*s. Let t(r) = -114*r**2 + 45*r + 99. Let p(a) = -28*a**2 + 11*a + 24. Let j(g) = 33*p(g) - 8*t(g). What is -2*j(n) + 3*w(n)?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = 1. Suppose 0 = -g + d, x*g - 20 = -4*d + d. Calculate the least common multiple of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802*1 - 24*13\/78?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 472, 471, 472, 475, 480?\n\"Answer: i**2 - 4*i + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39290 and 501423517?\nAnswer: 501384227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d. Let u(p) = -4*p**2 - 3*p - 8. What is -2*b(l) + u(l)?\nAnswer: -4*l**2 + 5*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3745, -3418, -3091, -2764, -2437, -2110?\n\"Answer: 327*a - 4072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 35 (c) -4 (d) 373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 12010*n + 433656 = 0. What is n?\nAnswer: -12046, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -17. Calculate the remainder when o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 = 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -361*b**3*r**2 + b**3*r - 100*b**2 + 2*r**2 wrt b.\nAnswer: -2166*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + 2 + 5 + 5 + sqrt(2).\nAnswer: 6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25465 = 766*y + 22086 - 46312 - 20781 for y.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyk when three letters picked without replacement from {k: 5, y: 7, z: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-24))\/((-4)\/(-24)*4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10\/(o\/(o*o**(-24)*o*o)))**(-15) assuming o is positive.\nAnswer: o**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5924 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 t(v) = -73*v**2. Let i(d) = 20544*d + 1. Give i(t(k)).\nAnswer: -1499712*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4 + 5*k - 13*k + 11*k. Suppose 0 = -2*u - 2*u + 16. Determine d(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 2*p**2 - 2*p**2 + (77 + 6 - 11)*(3 + 2*p**2 + 2*p - 1 - 3*p).\nAnswer: 143*p**2 - 72*p + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - b = 3, 104*r - 3*b = 103*r - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054489701 rounded to six decimal places?\nAnswer: 0.005449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3496 is divided by 1345?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from kkkkunkkyun.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 21*l - 7*l + 17*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/24 + 26*a**3\/3 - 120*a**2. Calculate the remainder when 65 is divided by d(-15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*c - 14*c - 104 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 3*a + 8. Let b(g) = 21*g**2 + 13*g - 33. Let i(x) = -2*b(x) - 9*h(x). What is the smallest common multiple of i(-3) and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -838886 = 23*v - 1083444 - 1257687. List the prime factors of v.\nAnswer: 5, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5047 (base 13) in base 2?\nAnswer: -1001000011011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, -5, 9 in decreasing order.\nAnswer: 9, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 58. What is m(11)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13192.\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2827 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34252 + -7685. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33*10\/(-210))\/((-3)\/(-21))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*i + 55, -5*i = -3*l - 1 + 10. Let h = 11 - l. Suppose -7*z = -h*z - 180. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.259*-2.\nAnswer: -0.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:40 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231850521 to the power of 1\/2, to the nearest integer?\nAnswer: 15227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112870*l**6 + 2*l**4*m**2 - 12*l**2*m**2 + l**2*m - 2*l*m**2 - 231*l wrt l?\nAnswer: 13544400*l**3 + 48*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5647, 5654, 5665, 5680, 5699, 5722, 5749?\n\"Answer: 2*n**2 + n + 5644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7034807 rounded to 2 decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3773658107 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273906246 - -1751.\nAnswer: -273904495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46271 take away -1345049.7?\nAnswer: 1391320.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*p - 12, -2 = 15*b - 16*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 143 - 293 = 0. Solve -f*y + 6 = -12*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p**2))\/p*p\/p**(2\/3))\/(p\/p**(1\/9))**(3\/7))**(2\/21) assuming p is positive.\nAnswer: p**(-86\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 121*x**8\/28 - x**7\/14 - 920*x**4\/3 + 642*x - 4. What is the third derivative of h(l) wrt l?\nAnswer: 29040*l**3 - 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31*(-24)\/(-8928)*-252?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532172330?\nAnswer: 2, 5, 19, 29, 59, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9217 (base 15) to base 16.\nAnswer: 787f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.34 + -0.7. Let h = -0.04 + s. Put -0.5, 2\/9, h in decreasing order.\nAnswer: 2\/9, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 8*c**2 + 5*c - 2. Let b(n) = 5*n. Let q be b(1). Let r be d(q). What is r rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 775057192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66\/7 in 6, -1, -147.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 2. Let f be u(3). Let j = 15 - f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4844\/(-692)*632\/56.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -330.1 + 346. Let w = 16 - m. Suppose -6*l + 15 = -l. Which is the third biggest value? (a) l (b) -0.8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.671825cm?\nAnswer: 56718250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29220389*c**3 + 135333437*c wrt c?\nAnswer: 175322334*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(8\/(-22)) + (-165)\/(-1584)*-24. Let j(g) = 0*g**2 - 4 - g**2 - 8*g - 1. Let z be j(-6). Solve -4*t = -2*k - 3 + z, -q*t + 2 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2711352 + 0.3.\nAnswer: -2711351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -76*s + 7. Let o be (-42)\/294 - 6\/7. Let y be d(o). Sort 0, y, 5 in decreasing order.\nAnswer: y, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + 28\/5. Let w be 705\/(-25) + (-1)\/(-5). Let p = 37 + w. Is j < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5 = -5*x, -x = -2*w + 10 - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 7*r**4\/2 + r**3\/6 - r**2 - 97*r. Let b(h) be the first derivative of g(h). Differentiate b(q) with respect to q.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.57\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.2654 * 1975\nAnswer: 6449.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = -4*g + 10, 5*h = -2*g + 26. Suppose 0 = -z - 4*r - 5, 10 = -r - 4*r. What is the second derivative of v**3 + h*v - 6*v + z*v wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -180*s**4 + 1778100*s**3 - 4389684125*s**2 - 7319845000*s - 3050450000.\nAnswer: -5*(s - 4940)**2*(6*s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Let a be 0 + 3\/6 + 0. Sort a, c, 1\/4 in descending order.\nAnswer: c, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v*v*v)\/v)\/v**(-1)*(v\/v**(-2))\/v**(3\/5))\/((v**(3\/8)*v**(1\/7))\/(v*v\/(v\/v**(2\/9))*v**(-5))) assuming v is positive.\nAnswer: v**(-2257\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -121. Sort -2, 5, n, 2.\nAnswer: -2, 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -9, 2, 13, 24?\n\"Answer: 11*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 1, z: 1, w: 2}. What is prob of sequence zlxw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 + 3. Let r = 0 + i. Let b = 0.07 - -0.03. What is the third smallest value in -2\/9, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 15*m - 19*m.\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(242) + -2*sqrt(242)*4))**2.\nAnswer: 1185800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1093716 and 2788.\nAnswer: 18593172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.944582 nanometers to meters.\nAnswer: 0.000000006944582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -955 + 1043. Calculate the lowest common multiple of d and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -846.912 - -844. Let z = -14.078 + 13.38. Let n = x + z. What is n rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -9358649574481*n**2\/6 + 3059191*n\/3 - 1\/6 = 0?\nAnswer: 1\/3059191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.8 in -54, 1\/12, -0.2, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 42 = -2*v, 0*j = -j + 3. Suppose 11*m - v = 8*m. Solve i - m*i = 2*d - 12, 2*i = d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -171*y**2 - 78*y**2 + 0*y + 3*y - 3. Let r be k(4). Let f be r\/(-2)*(-16)\/6. What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3023013102 (base 4) to base 16\nAnswer: cb1d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 + 9*l**2 - 5*l + 3. Let x(v) = 8*v**3 + 13*v**2 - 7*v + 4. Let q(p) = 135*p + 803. Let z be q(-6). Give z*y(c) + 5*x(c).\nAnswer: 5*c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t. Let o be (-6)\/2 - (-2 + -1). Let g(f) = -3 + 3 + o*f + 2*f. What is d(g(l))?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 35*j + 906. Let i be l(-25). Solve 3*t - i = 4*c, 2*c + 6 = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 150220.\nAnswer: 1351980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 8 + (-22 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:12 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 1\/30*x**5 + 0*x + 0 - x**2 + 0*x**3 + 0*x**4. Let v(h) = 5*h**2. Give o(v(p)).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-270)\/(-100) - (-36)\/(-30). Factor g*n**3 - 6*n + 3\/2*n**2 - 6.\nAnswer: 3*(n - 2)*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 5*u + 4*u)*(0*u - 2*u + u + (532*u + 1198*u - 1209*u)*(-2 + 2 + 11)) to the form w*u + z*u**2 + g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 - 24*b**2 - 57*b - 36 = 0. Calculate b.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (5 - (8 + -3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/5)\/x**(-1\/7))**(-9\/2) assuming x is positive.\nAnswer: x**(-117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12740*n + 6362*n + 6410*n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2606 + 2607. Sort -4, -632, z in ascending order.\nAnswer: -632, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 16*l + 6. Let r be n(2). Calculate the highest common divisor of 448 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12043872 divided by 32?\nAnswer: -376371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 11*o + 118. Solve 8*f - 4 = 12*f - 3*k, 0 = 4*f - 4*k + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513705 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Suppose x = -10*q + 4*q + 4386. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/79, 1, -636?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)\/(4\/(-28)). Suppose -m*v = -4*v - 3*r - 6, -3*v + 1 = 2*r. Let l(k) = k + 2. Let s(j) = -6*j - 11. Let g(n) = -11*l(n) - 2*s(n). Calculate g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (-6*(8 - 6))\/(3\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5 - 19*m + 5*m**2 + 0*m**2 + 5*m - 4*m**2. Let x be n(14). Solve -2*w - x = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/452?\nAnswer: 3\/452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561817235 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*i - 30 + 40, 4*n - 6 = -2*i. Let o(h) = h**3 + h**2 - 2*h. Let b be o(2). Solve -2*y + b = n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17753 + 17768. Solve t = -o + 4*i + 5, 3*i = -2*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237 + 113. Let y = 3 - t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 381923, 763844, 1145765, 1527686, 1909607, 2291528?\n\"Answer: 381921*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 6319701.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 240*d**2 - 525245*d.\nAnswer: 5*d*(d - 349)*(d + 301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:11 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + (6 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is the hundreds digit of 1167357986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.6829 decades to centuries.\nAnswer: 2.56829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 20, 7*s - 2*s + 2*h = 43. Calculate the remainder when ((-2658)\/42 - s)*21\/(-3) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -74.802?\nAnswer: -81.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 7*r + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-320)\/1216)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.5, -5\/6, 4.36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45610 + -45607. Sort -4\/5, f, -26, 0.3, 48.\nAnswer: -26, -4\/5, 0.3, f, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/6*(15 + 3744\/(-224)). Let y(z) = 3*z**2 - 4*z - 3. Let p be 11\/(1\/(6\/(-2))). Let k(x) = 24*x**2 - 33*x - 24. Determine n*k(w) + p*y(w).\nAnswer: -3*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/9 (b) -5 (c) -0.099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*s - 5*k, -8*k = 2*s - 0 + 44. Let c = -35 + 56. Suppose 3*z + c = -2*i + 9, -2*i - 4 = -z. Sort -2, s, 1, i in ascending order.\nAnswer: i, -2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6936 (base 16) in base 11?\nAnswer: 19266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 652ca (base 14) to base 2\nAnswer: 111011110000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37260 divided by -15?\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from -217180.5.\nAnswer: -217199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(60)\/sqrt(3))**2 - (3*(sqrt(35) - sqrt(70)\/sqrt(2)))\/sqrt(7)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211 + -686\/3. Suppose 3*c + 4 = c. What is the common denominator of l and ((-82)\/(-12))\/(c\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 15. Let v be (-2 + 2)\/o + 25. What is the units digit of (-478)\/(-10) + 5\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 30, -32, 0, 5.\nAnswer: -32, -11, -3, 0, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1383953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3284 + 4647. Calculate the greatest common divisor of 47 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5796 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14927 + 14925. What is the smallest value in -0.03, f, -9, 2\/3, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) 0.182 (b) 2\/57 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c - 64. Let f be o(-6). What is the closest to 1 in 1\/9, -0.4, f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 862*s - 809*s - 4452 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 7*v + 3. Determine x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -662*p**3 - 4*p**2 + 2*p + 4. Is 27 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 minus 1986920090?\nAnswer: -1986920088.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/168*(-1 + -1). What is the smallest value in 11, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 1760 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/5943 in -0.5, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -25*f - 51. Let k(i) = -8*i - 17. Let v(w) = -17*k(w) + 6*s(w). Differentiate v(c) wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804832 less than -65671?\nAnswer: -1870503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24425 + 48849 + 30*u + 25*u - 50*u - 24444.\nAnswer: 5*u - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -69. Suppose -4*n = -0*n + 16, 5*d - f = -n. Suppose -2*p = -5*v - 25, -5*v - 25 + 0 = d*p. Which is bigger: p or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 503098 + -503133. Let v = 1 - 2. What is the third smallest value in v, 0.1, o, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2596 = -6*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.086 times 2\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b + 228. What is the lowest common multiple of j(-37) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 456996*m - 12335976.\nAnswer: -4*(m + 27)*(m + 114222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1 + 4*j + 0*j - 5. Suppose -4*z + 3 + 5 = -3*g, -3*z + 15 = 0. List the prime factors of k(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, -0.02, -52, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -202002 (base 3) to base 2\nAnswer: -1000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -23. Suppose -4*j = -p*n - 232, 0*n = 5*j + 2*n - 269. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446710608 a multiple of 9224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*h - 35. Solve -h = -2*i + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1162\/85 or -13?\nAnswer: -1162\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (14 + -2)) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -10, -2 in ascending order.\nAnswer: -16, -10, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2\/9*k**4 - 199794688\/9*k + 430592\/3*k**2 - 928\/3*k**3 + 0 = 0.\nAnswer: 0, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 87 = r + u, -5*u - 89 = -r. Suppose 5 = 2*t - 2*d + 47, -5*d = -4*t - r. Let w = -14 - t. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from zzobosoovbzbvvvsosoz?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 121 = -2*v, 2*w = 4*v - 103 + 29. Let b = -2 - -2. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huu when three letters picked without replacement from uukhaeg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y = -7 - 41 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + (-2 - (-748)\/85). Put -4\/291, -3, m in descending order.\nAnswer: -4\/291, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 16 + 16 + 2*v**3)*(188*v - 2361 + 2361).\nAnswer: 376*v**4 + 564*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000575811 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/3 (c) 28 (d) -0.3 (e) 7 (f) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(3\/(-4)*-2). Suppose o*d - 2*d = p - 4, -4*d = 5*p + 22. Let m be -3 - (-3 - p - 0). Sort 4, 0, m in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9158 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.103 - 3.323. Let i = w - -1.22. Which is the second biggest value? (a) 1\/4 (b) -2\/11 (c) i (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j - 3. Let y(h) = 50*h + 16. Give -11*a(d) - 2*y(d).\nAnswer: 10*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 7, c: 4, v: 2, x: 4}. Give prob of sequence xjv.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - -163?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661653?\nAnswer: 3, 73517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276676*o**3 - 913311684*o**2 + 13890624*o - 52816 = 0. What is o?\nAnswer: 2\/263, 3301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 62?\nAnswer: 8990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12551 = -5*p, 0 = p - 3*a - 1266 - 1248. Is p a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4 - 41*s**3\/3 - 5*s**2\/2 - 21*s - 126. What is the tens digit of z(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:15 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) -2\/17 (b) 0.01 (c) -153 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730, -1420, -2016, -2518, -2926, -3240, -3460?\nAnswer: -3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.142 - -1.238. Let g = r + 0.62. Which is the closest to -2\/7? (a) -5 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k + 2*s - 74, 3*s = 3*k - 33. Calculate the greatest common factor of 64 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 2*x - 1. Let z = -10 + 8. Calculate the smallest common multiple of 13 + (5 - 45\/5) and m(z).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -4\nAnswer: 195\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*x - 1305 + 1289, x = 2*r - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6024 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**5\/30 - 6*z**3 - 15. Let n(d) be the third derivative of y(d). Let k(l) = 5*l. What is n(k(h))?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 12063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24615 (base 8) to base 14\nAnswer: 3c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178.4181 millennia to centuries.\nAnswer: 1784.181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5*x - 196*d**4*x**2 + 25*d**2*x**2 + d**2*x + 2*d**2 wrt d.\nAnswer: -120*d**2*x - 4704*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25bb7a (base 13) to base 14\nAnswer: 19a286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 468415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a millisecond in microseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*b - 136 + 1376, 4*t = -2*b + 4960. Let w = 2375 - t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.529 - -33.032466?\nAnswer: 32.503466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*w - 15*w - 240. Calculate the least common multiple of 69 and w.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**5\/35 - 13*h**4\/14 - 9*h**3\/7 - 49. Solve z(y) = 0 for y.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18945 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579*q - 22 - 22 + 578*q + 57 - 13.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69, 68, 67?\n\"Answer: -p + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19043\/544 or -36?\nAnswer: -19043\/544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -10*w - 348 - 1556. Let p = -69 + 130. Let c = p - w. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 5*z + 6. Suppose 2*o - 12 = 4*c, 3*o = 5*o + c - 7. Let w be d(o). Suppose 3*u = -5*m + w, 4*m + 129 = 5*u + 6*m. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgjagggbgtjxgjb. What is prob of picking 2 x and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 324*k - 8566*k + 0.\nAnswer: -8242*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.7 and -11.\nAnswer: -40.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 630147955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (475\/100 - (6 - 1))\/(8\/12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(0 + 1\/(-2)). Let g be (-468)\/(-945) - (-4)\/(-42). Put g, s, 4\/9, -0.2 in decreasing order.\nAnswer: 4\/9, g, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 212\/(-70) - (-6)\/14. Let q = 31\/10 + w. Solve 0*j**3 + 0 - j - q*j**4 + 3\/2*j**2 = 0 for j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-12)\/480*1\/(-3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*1\/((-5)\/(-25))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2030, -4068, -6130, -8228, -10374, -12580, -14858, -17220?\nAnswer: -19678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/32)\/(154\/(-176))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -72283.98 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. What are the prime factors of 4*(2 - (a - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -131053210975 and -1.3.\nAnswer: -131053210976.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165806.\nAnswer: 2, 82903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0*k**2 - 2*k**2 + k**2) - 3*k**2 - 4*k**2 + 3*k**2 + (5*k + 0*k - 3*k)*(k - k + 2*k) - 3*k**2 - 2*k**2 + 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -344*w - 9. Let f be -2*4*(-1)\/(-2). Is z(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (34 + -51 + 19 - 45).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -415.87 times -0.4?\nAnswer: 166.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + (-5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 14?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:30 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 2. Let h be o(-5). Suppose -h*f + 0*f + 4*s + 10 = 0, -2*s + 4 = 0. Let r(b) = -4*b + 1. Give r(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10760743873\/21 + -512574714. Let l = a + 158397. Suppose l*t + 98\/3*t**4 - 256\/21 - 80*t**2 + 28\/3*t**3 = 0. What is t?\nAnswer: -2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1030, -2020, -3004, -3982, -4954, -5920?\n\"Answer: 3*d**2 - 999*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2\/217?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 1:24 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**2 - 5*m - 2. Let v(f) = -7*f**2 + 5*f + 2. Determine -5*r(w) - 6*v(w).\nAnswer: 2*w**2 - 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - ((-3 - 3) + (8 - -3 - (9 - -7))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, -7, 4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 + (12 - 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 5*w - 40 = 0. Let k = -8 - w. Suppose k*o = 3*o - 126. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7464496 and 65416?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/18*((-6715548)\/(-4752))\/329.\nAnswer: 63\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 230*g - 48. Let q be w(12). Suppose -4*p + q = b, p - 689 = -0*p - 3*b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2.17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2038 = -0*a - 2*a, -a + 8180 = -4*g. Let f = 3665 + g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15967181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) -3 (c) -9\/8 (d) 0.63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304541 divided by 24?\nAnswer: 304541\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.06, 14, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**3 + 2*i**2 + 5*i - 4. Suppose 16*p + 3 = 17*p. What is the units digit of b(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*j - 4*j + 13 = 0, 5*q - 3*j + 29 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 28*u. Let p = 169 + -241. Let y be 6\/8 - 1026\/p. Let q(d) = 6 + 9 + 2*d - y. Determine q(g(c)).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2075, 2100, 2121, 2138, 2151, 2160?\n\"Answer: -2*g**2 + 31*g + 2046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1)*(-54)\/(-63).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 - 5 - (5 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/((-6)\/((-24)\/(-28))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -52.\nAnswer: -52, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-2)\/(-8) - 10\/16*-6) + 1042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {l: 6, x: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701?\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87075952.\nAnswer: 2, 5442247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54324 + (-16 - -30) + -1?\nAnswer: 67, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338 by 399.\nAnswer: -338\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*x + 1 + 4, -4*m + 5 = -x. Let r be (m - -1)*30\/100. Which is the closest to 2\/9? (a) -5 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*d + 255588 = 243156 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**2 + 5*h + 4. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 7:23 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/3 - -3. Let n = -0.1 + 0.1. Let y = 0 - n. Is g <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -158 (c) -6187 (d) -3 (e) 2\/5 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -3\/19 (b) 5\/4 (c) -5 (d) -44 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 + 216. Suppose 15 = -3*f + n. Suppose 4*a - f - 15 = 0. Solve -a = 2*o + 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (15 - (-13 - -25) - (0 + -4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -20 - 44) + 3\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/28 - 3\/7. Suppose q = -4*x + 100 - 12. Let c(t) = -t**3 + 10*t**2 - t - 7. What is the remainder when c(9) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -7*n**4\/24 + 24*n**2. Let y(x) = -x. Let l(t) = -k(t) - y(t). Let d(h) = 7*h. Give l(d(u)).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/92188 and -30\/161329.\nAnswer: 645316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/209 and 46\/28785.\nAnswer: 316635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255116013, 255116012, 255116011, 255116010, 255116009, 255116008?\nAnswer: 255116007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 10, a: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/13 (b) 1 (c) -5 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n**2 - n - 1. Let w be o(3). Suppose 0 = -5*c + 5*a + 40, -4 = 3*a + w. Let x = c + 3. What is the greatest common divisor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1172 and 99\/12341746?\nAnswer: 24683492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 963059079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(17\/(-1734)*6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/9 + 4499794*y**2\/9 - 2531020505200*y\/9 + 2531016005408\/9 = 0. What is y?\nAnswer: 1, 1124948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22289555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - b. Let j(i) = 11*i**2 + 4*i + 3. Give -j(r) - 5*s(r).\nAnswer: -6*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -207630 (base 8) in base 7?\nAnswer: -406464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3*v**2 + u**2*v**2 - 50*u**2 - 7*u*v**2 - 12*v**2 wrt u?\nAnswer: -6*u*v**2 + 2*v**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/8*(-4)\/5. Suppose -d*c + 1 + 43 = 0. Let w = 5 - -3. Calculate the least common multiple of c and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1197)\/(-1729)*(-80 + 2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3004)\/6*6\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 36 = -18*r. Let i be ((-2)\/(-4))\/((-1)\/(-2)). Calculate the highest common divisor of i and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -34*p - 9. Let r be k(4). Let l = r - -196. What is the greatest common factor of 119 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzkzzfzzffzzff. What is prob of picking 1 z and 1 f?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/12624102 and 109\/66.\nAnswer: 138865122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 - 18*y\/5 + 56\/15.\nAnswer: -2*(y - 1)*(y + 28)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(-1 + sqrt(66)\/(-2*sqrt(6) + sqrt(6)) - ((sqrt(605)*-1)\/sqrt(11))\/sqrt(5))**2 + -2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 5*h - 3*h)*(-3*h**2 + 6*h**2 - h**2)*(-13 + 30 + 16).\nAnswer: -66*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11309 divide 2254200352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 25 + 290 = 0. Let i = d - 1802\/7. Let w = i - 781\/105. Which is the smallest value? (a) 1 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090261667?\nAnswer: 11, 19, 97, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*m**3 - 3*m**2 + m**2 - 2*m**3 + 4*m**2 - 310*m - 34*m**3 wrt m?\nAnswer: -354*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45288197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433545 by 12387.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 3*x. Let y be c(-4). Let i be 2*(-2)\/y + -42. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-21) + (-2)\/(-7). Let s(y) = y. Suppose 3*c + 21 = 3. Let k(d) = 4*d + 2. Let x(h) = a*k(h) + c*s(h). Determine x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2 + 6*o**3 - 2*o**3 - 3*o**3 + 5*o + 7*o**2. Let g be (-72)\/(-9) + -12 + -2. Let y be z(g). Solve q + p - 8 = 2*p, 17 = -q - y*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 283397.1 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783 = -3*q - 5*g + 2104, 5*q + g = 2209. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22177114 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, 68, 202, 378, 590?\n\"Answer: -t**3 + 30*t**2 + 3*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 - 10*a**3 + 40*a**2 + 90*a + 45 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18*(-72)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 225 - (9 - 13). What is d rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5724093 - -15\nAnswer: 13.4275907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 2*r**2 - 2*r + 2*r**2 + 1. Let p = 5 + -1. What are the prime factors of g(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2590, -10454, -23532, -41794, -65210, -93750, -127384, -166082?\n\"Answer: 5*v**3 - 2637*v**2 + 12*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {h: 7, r: 2, n: 3, m: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -201, 2, 16 in decreasing order.\nAnswer: 16, 4, 2, 0, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 228*y = 223*y + 5, a - 5*y = -30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + 0.3. Let k = s - 0.6. Let u = k - 0.6. Round u to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 3*l**2\/2 + 5*l - 1195. Let k(w) = w + 3. Give -7*k(r) + 4*o(r).\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.205745 tonnes to micrograms.\nAnswer: 6205745000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.8 + -20.896. Let d = -1.2 - m. Round d to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 18 + 6*u**4 - 2*u**3 + 7*u**2 + 16 - 12*u**2 to f + i*u**2 + c*u**3 + n*u + w*u**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/60 and 47\/188416?\nAnswer: 2826240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 156 - 39\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**6\/120 - h**5\/16 - h**4\/8 + 11*h - 9. Suppose i(s) = 0. Calculate s.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*z - 31898 = 365*z - 250*z + 12816 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 47724.82 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35965614.\nAnswer: 2, 3, 5994269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b9 + 1?\nAnswer: -5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335692, 671384, 1007076, 1342768, 1678460?\nAnswer: 2014152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 19. Let h be z*1\/12 - 66\/(-36). Solve -10 = h*l, 2*y + 25 = -0*y - 3*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33642.\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29)\/2 + 3\/(-6). Let d = j - -21. Suppose 5*y + 4 = -d. Which is smaller: y or -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 472 - 268. What is the remainder when 35 is divided by (p\/(-17))\/(3\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -828 - -2018. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3480 - 3479.5458. Let d = -0.1993 + l. What is d rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/3))**(-1\/7))**(-45))**39 assuming w is positive.\nAnswer: w**(585\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-24)*-3*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*m*s**3 - 3*m*s - 1885*s**3 + 2398*s wrt s.\nAnswer: 78*m*s - 11310*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(125\/(-4)))\/(-27*56\/(-1260))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 210 = 32*z. Let q(d) = -20*d + 174. Is 23 a factor of q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 440 or 438?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 r when four letters picked without replacement from rrjjjjjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 300 - 696?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284\/15 + -98\/5. Let d = -3707\/13 + 285. Let f = 4\/27 + 14\/27. What is the closest to f in d, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -421*b + 7. Let m(t) = -844*t + 15. Let d(j) = 6*m(j) - 13*r(j). Is d(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921 + 116*r + 922 - 3724 + 962 + 919.\nAnswer: 116*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 6. Let p = 5 + f. Solve p*s + 0*s + 4 = 5*l, 3*l - 2*s = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 3. Let d(w) be the second derivative of -w**3\/6 - w**2\/2 - 5*w. Give -4*d(r) + m(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 150 = -14*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 1, -3, -9, -17, -27, -39?\n\"Answer: -q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*w + 7235859 - 4735190 = -42509698. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 21428732?\nAnswer: 64286196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45647268 to the nearest integer?\nAnswer: 6756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 25 = -2*n. Suppose -115 = 5*w - 5*o, 2*o - 5*o = -n. What are the prime factors of (-2)\/3 + (-138)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvbbvb. Give prob of sequence bdv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(891) - sqrt(891)*1)**2 - sqrt(891))*-2 + sqrt(55)\/sqrt(5)*6 + (sqrt(11) + sqrt(33)\/sqrt(3)*-3)**2.\nAnswer: 41 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 51. Suppose 9 = v - 0*v + 3*o, -n*v + 4*o + 20 = 0. Suppose -v*l + 100 = -14. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 3 = 17*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1802 and 153?\nAnswer: 16218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 11*x**2 + x + 7. Suppose 4 + 18 = 2*i. Let m be c(i). Let q = -11 + m. Calculate the smallest common multiple of 3 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/345 and 19\/3159?\nAnswer: 363285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + -3*-2*sqrt(700) + sqrt(42)\/(2*sqrt(6)*-5))**2.\nAnswer: 2511807\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 13 - -15) + -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2 + 4*p + p**3 - 4 + 0. Let y(k) = -k**3 - k + 1. Suppose -5*n + 13 = 8. Determine n*x(d) + 2*y(d).\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37455 minus 135729?\nAnswer: -135730.37455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 583995?\nAnswer: 4\/194665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110000132 (base 4) to base 10.\nAnswer: 1392670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24580195 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 2, -1, -5, 0 in ascending order.\nAnswer: -5, -1, 0, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109484 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11 - 6 - 3 + 2*o - 1. Let v(l) = -2*l. Determine j(v(a)).\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (100 + -95 - (-48)\/(-10))*30. Solve -634 + 622 = o*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + b + 607 = 2*b, 3*w = -2*b + 449. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9570114 and -9570113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3 + 20*i**2 - 25*i + 10 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - -3) + 1 + -6 + 18 + -17\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 6. Let y(p) = 2*p + 13. Let x(a) = -14*v(a) + 6*y(a). Let u be x(-4). Let l be 3\/18*3\/u. Sort 1, -0.4, l in decreasing order.\nAnswer: 1, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 11*u + 32. Let f(i) = 13*i**2 + 7*i + 4. Let b be f(u). Does 2 divide (b\/(-69))\/((-2)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 4. Let y = -32 - -25. Let k be s(y). Which is the nearest to 2\/7? (a) k (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2245, -9027, -20289, -36031, -56253?\n\"Answer: -2240*q**2 - 62*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 1:35 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056650 is divided by 330.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1495, 1512, 1531, 1552?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f. Let w be x(0). Let a be (-5)\/(w - (-2)\/2). Is -4 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 0.531 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -1.50177.\nAnswer: -3.50177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 5 = 2*c. What is the smallest common multiple of 7 and c\/15*(-60)\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*b - 2*m, 0*b + 4 = 4*b - 3*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - 8. Is 1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23405939 is divided by 4819?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 3*p - 5*p)*(1026 - 4*p - 1943 + 1068) to the form w + f*p + k*p**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxd when three letters picked without replacement from fffflffffnlflffxdd.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4869 is divided by 178.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 14305\nAnswer: 52\/14305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1826\/35 - -340\/7. Calculate the common denominator of -70\/3 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 0*t**2 + 0*t**2 + (43 + 69 - 155)*(t**4 + 0*t**4 - 2*t**4) - 895*t**2 + 49*t**4 + 895*t**2.\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 18*x = 27*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 390730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let g = l + -0.88. Let q = g + -5.12. What is the closest to 2\/5 in 4, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.4. Let w = -6797.5 - -6798. What is the nearest to t in -2\/15, w, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-9))\/((-1)\/3). Let s = 0 - r. Let i = -1 + s. Solve 0 = i*v, d - 3*v + 16 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/57 - -41\/76. Calculate the common denominator of l and -151*(1\/6)\/(-9 + 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:53 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3870 and 1.\nAnswer: -3870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 80*v = 77*v - 3, -s + v = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1203222 - 10130?\nAnswer: -1220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*((-40)\/48 + 1))\/(17\/51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b1d (base 16) in base 7?\nAnswer: -223525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 8 = -9*h - 4*x, -h - 4 = x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -230, -217, -190, -143, -70?\n\"Answer: w**3 + w**2 + 3*w - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 70*m**2 + 549*m.\nAnswer: m*(m - 61)*(m - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -121*m - m**2 + 121*m. Let x(v) = -6*v. What is h(x(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -154*h**2. Let r(b) = 12*b**2. What is r(n(v))?\nAnswer: 284592*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28584798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 4*i - 6. Suppose 5*j = -0 + 10. Let s be a(j). What is the least common multiple of 24\/3 + (4 - (0 - s)) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -3)\/((-1)\/10). Let j be ((-12)\/5)\/((-10)\/u). Solve -4*f + j = 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l - 7. Let u(k) = 5*k - 4. What is -3*t(i) + 5*u(i)?\nAnswer: -8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 + 3*m**3 + 22 - 14*m**2 - 27*m + 0*m**3. Let b be ((-4)\/6)\/(16\/288). List the prime factors of n(b).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -100.27 and 5087.26.\nAnswer: 4986.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478160 = 4*n + d, 12*d + 12 = 15*d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 350 - 346.54. Let o = -0.46 + q. Let h(v) = v**3 + 12*v**2 - v - 12. Let x be h(-12). Which is the third smallest value? (a) -1 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9743 - 1.0257. What is the closest to -2\/7 in h, -0.03, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 161*t**2 - 242*t**2 + 200*t**2 to s*t**2 + d + z*t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24877 or 764?\nAnswer: 24877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*f + 336, 0*z = 3*z - 3*f - 255. What is the remainder when z is divided by 19 - (3 - 3\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 32. Suppose -4*x - 3*h = -z*h - 20, -h - 15 = -2*x. Is 3 a factor of 200\/x + 6\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30756482020 to the nearest 1000000.\nAnswer: 30756000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 21. Let j be 3 + -3 + d\/10. Which is the closest to 0? (a) j (b) 5\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/60 + z**5\/60 + z**4\/8 - z**3\/6 + z**2. Let v = -123 - -125. Give d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11179.65kg?\nAnswer: 11179650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*j + 4 + 5 = 0, 2*d - 9 = j. Let w(q) = q**3 - q**2 - 2*q - 2. Determine w(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/19)*d*d**(-12\/5))\/(d**(-13)*d*d*d**(-12\/17)))**(-2) assuming d is positive.\nAnswer: d**(-33798\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318947 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-1 - (-2*(sqrt(78)*3 + sqrt(78)) - sqrt(78)))\/(4*sqrt(96) + 2*sqrt(600)) + 0.\nAnswer: 11*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) -2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 4*i - 3. Let t(z) = -z**2 + 9*z - 21. Let w be t(7). Let n(b) = 2*b**2 + 9*b + 7. Suppose 0 = x + 3 - 0. Determine w*v(s) + x*n(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, s: 1}. What is prob of picking 2 b?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16905283349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 1, -1, -81.18, 10\/3, -0.4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 4. Let z = 1188 - 1190. Give u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*g = -2*u + 8, 10 = -2*u + 5*g. Let q(b) = -4*b + b + b + 4. What is q(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*b - 35, 6*i - 29 = -3*b + i. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(605) + (sqrt(605) + sqrt(605)*2)*3))**2.\nAnswer: 968000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3579554234?\nAnswer: 2, 1789777117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + -2 + 5*(1 + sqrt(68)) + 5 + -1 + -5)**2.\nAnswer: 60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259970 and 727916.\nAnswer: 3639580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 0*b**2 + 15*b**3 + 0*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838895 is divided by 9020?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1842, -1, 1, -5, 0 in descending order.\nAnswer: 2, 1, 0, -1, -5, -1842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4880\/11 + -443. Let g = -10\/33 + n. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-8))\/((-21)\/(-12) - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (264\/(-27))\/(-2).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/77 and 24\/30*-5*40\/(-198).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9867, -21.5, -2\/55 in decreasing order.\nAnswer: -2\/55, -21.5, -9867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0217 * -46.1\nAnswer: 1.00037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.8817 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + b**3 + 6*b**2 + 0*b**2 - 2*b - 1 - 6*b**2. Let x be a(-2). Let q be x\/(-4) + 2\/(-8). Solve q + 2 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15045738.1 rounded to the nearest ten thousand?\nAnswer: -15050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 6:47 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 3)\/((-6)\/(-3)). Suppose -w - 16 = -5*b, -4*b - w + 8 + 12 = v. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.034 + -0.034. Let p = v - 28.3. Which is the nearest to -1? (a) 3\/4 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530 and 23850?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12\/7 of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4326.576ml?\nAnswer: 4.326576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 4:09 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -331508123596280\/2064180349 - 5\/6192541047. Let k = c - -160600. Let q = 3\/7 + k. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 3865, 7226, 10635, 14110, 17669, 21330, 25111?\nAnswer: 29030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.168 + -4.586. Let u = 7.6 + s. What is u rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.9 + -4.6. Let g = 19 - 19.11. Let f = -4.89 + g. What is the nearest to 0.1 in -3, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91\/70*-16*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/3 + 279*y. Let d(a) = -2*a - 1. Let o(w) = 12*w - 20. Let f(g) = 5*d(g) + o(g). Determine u(f(r)).\nAnswer: 4*r - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - -203. Let y be 2 - 0\/(-3) - -23. What is the highest common factor of y and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 7, v: 1, d: 4}. Give prob of picking 1 c and 1 u.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*4)\/(sqrt(42)\/sqrt(54) + sqrt(7))*5*1.\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3364670 and 3565.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63777939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3273 in 0, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 30, -5, 2, -43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42.01646 times 0.2\nAnswer: 8.403292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 1761, 3830, 6519, 9708, 13277, 17106, 21075?\nAnswer: 25064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 + 11 = 0. Let k be (-2)\/q + (-486)\/24. Let c = k - -34. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*(h\/(h\/(h*h\/(h*h\/(h\/((h\/(h**(-2\/11)\/h))\/h))*h))))\/h)\/h**1)**11)**(-4\/15))**(-1\/43) assuming h is positive.\nAnswer: h**(-52\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -4, 1 in ascending order.\nAnswer: -18, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*r - 4*h, -h = -28*r + 30*r - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-539)\/(-33)*(-501)\/167.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i - 6. Let t(v) = 6*v + 5. Let r(z) = z + 25. Let p be r(-20). Let l(c) = p*x(c) + 6*t(c). Let w(n) = -3*n**2. Determine w(l(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1301590, -2603178, -3904766, -5206354, -6507942?\n\"Answer: -1301588*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a38 - 34408?\nAnswer: -336a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -40 (b) -2\/5 (c) 72 (d) 16 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8282 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6418083.\nAnswer: 3, 7, 131, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 1. What is the common denominator of 607\/180 - v\/45 and ((-11)\/6)\/((-2)\/(-3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -1\/7 (b) 2 (c) 0.1 (d) 35494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/296 - -5183\/296. Let d = -21694 + 260657\/12. Let s = -79\/4 + d. Find the common denominator of s and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 233. What is the second derivative of -5*z**3 - o*z - 6*z**3 + 92*z wrt z?\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 7. Suppose o = d - 0*o - t, -13 = -3*d + o. Suppose a - 10 = 3*a - 2*c, -4*a + 2*c = 12. Sort a, d, -3 in decreasing order.\nAnswer: d, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c + 1. Let g = 23 + -22. Let f(l) = l**2 + 8*l + 12. Let x(w) = g*f(w) + 2*n(w). Calculate x(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*b - 25 = 2*z, b = -2*z + 2. Let q be -173 + (-2 - 1) - (-14 + 18). Calculate the remainder when 207 is divided by ((-11)\/((-44)\/q))\/(z\/(-2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1206 and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from lgllklllkggl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 16. Let c = 17927\/4 + -4482. Suppose 0*f = 4*o - f - 16, 4*f = 5*o - 20. What is the closest to c in o, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44c8 - -13?\nAnswer: -44b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 175 - 20. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382 + (121 - 500) + (-1 - -1) + 109\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1612 and -199\/321594.\nAnswer: 643188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 6*y)*(17 - 2 + 1)*(-2 - 1 + 2)*(3 - 5 - 2)*(-4*y**2 + 0*y**2 + y**2).\nAnswer: -1152*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -13, -0.7, -0.1, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*1)\/(-3)*(-2)\/18?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b - 60. List the prime factors of a(-18).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 346 and 11?\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = t - 9*i + 5*i, 2*t - 2*i = 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(25)\/sqrt(5) + -2 - sqrt(5)) + sqrt(5)*2*5)**2 + (((sqrt(60)\/sqrt(2))\/sqrt(6))**2 - (sqrt(5) + 5 + sqrt(5) + 0)) + 1)*2.\nAnswer: -84*sqrt(5) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 76 - 8 = -3*k, 3*m = 5*k + 52. Suppose -4*n + 28 = -3*d, m = -d - 4*d + n. Let x = 6 + d. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63109 - 1893439\/30. Let w be 2*-20*1\/(-3)*3. Find the common denominator of 20\/w - 194\/(-8) and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11906245 and 1241305?\nAnswer: 7345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 3636?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 21 = -5*l, -2*g = -5*l - 6 - 3. List the prime factors of (g\/9)\/((-4)\/444).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -638 + 753. Differentiate -61*n - 81 - 35*n - 8*n - c*n + 5*n wrt n.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + y + 28 = -3*b, 5*y = -4*b + 52. Suppose -246 + 14 = -b*j. Solve -m + d + 7 = 0, 0*m + 2*d = 5*m - j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6\/17, -0.3 in ascending order.\nAnswer: -6, -0.3, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 + 8*i**2*u + 7*i**2 - 92*i*u + 1 wrt i?\nAnswer: 12*i**2 + 16*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 12*b**2 - 9*b - 6. What is f(-11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-15*((-3)\/(-5))\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:09 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.52 (b) 30\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b + 0*b - b + (2 + 0 + 0)*(1 + b - 1) + b - 3*b + b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243754 and 2133089.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-3500)*-14 - 1\/(-2). Which is the nearest to -1? (a) 3.3 (b) -2\/9 (c) z (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-2))\/(-3)*(-24)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1177\/2 or 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021484 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o**5\/3 + 870*o**4 + 26196*o**3 = 0. Calculate o.\nAnswer: -111\/4, 0, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 976 and 29036?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 18 + 32*n**3 - 66*n**2 - 49 - 3*n**4 + 4 + 72*n - 8*n**3 = 0. What is n?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65752397 rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 63 + 25 + f + 38. Let v(t) = 617*t**2. Determine v(m(d)).\nAnswer: 2468*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (1 + (7 - 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7347 + -7342. Let o(i) = 2*i**2 - 2*i + 2. Let n(s) = 2*s**2 - s + 2. Calculate r*o(q) - 4*n(q).\nAnswer: 2*q**2 - 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*g + 5. What is the first derivative of -4 + 6*r + g - 5 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14451299 divided by 1\nAnswer: 14451299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 455.\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-2)\/(-14))\/(5\/7).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from jjsssssss.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 6416?\nAnswer: 6413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3975, -3985, -3995?\nAnswer: -4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -13276*v**4 + 61824*v**3 - 52320*v**2 - 107776*v + 142656 = 0.\nAnswer: -4458\/3319, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 4*w**3\/3 + 3*w**2\/2 - 5*w + 8. Is 20 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17424 by -6.\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -639+15369\nAnswer: 14730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*v - 19708 - 26974. Calculate the common denominator of 2 - v\/(-345) - (-174)\/2001 and 9\/(-24)*29\/(-9).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*i - 30, -3*f - 3*i - 16 = -i. Let g be 1\/1 - f\/1. Suppose -g*n + 20 = 4*j, -6*j - 6 = -5*j - 2*n. Is 1\/2 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65956 and 35976?\nAnswer: 395736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 97351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -13. Find the second derivative of 3*h - 24508*h**2 + 5*h**d - 8 + 24508*h**2 wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*k - 5*c + 2, 2*k - 30 = 3*c. Suppose 4*i = -r + 15, -2*r - k = -7*r. Suppose -5*x = 5 - 20. Is x at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (-36 - -47) + -20.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 2*m**2 + 5*m**2)*(-9*m**2 - 9*m**2 + 11*m**2 + (-m**2 + 5*m**2 - 3*m**2)*(0 + 0 - 1)) + 0*m**4 + 0*m**4 - m**4 + (1 - 2 + 3)*(-m + 2*m**4 + m).\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 81.99. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -529\/17 + 28. What is the common denominator of -93\/10 and l?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 17202 + q**2 + 66407 - 4*q.\nAnswer: q**2 - q + 83609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0941, -0.27, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -4d1?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**5\/30 - o**4\/4 - 5*o**2 + 41. Let s(c) be the second derivative of t(c). Factor s(k).\nAnswer: -2*k*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103243127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u**4 - 112*u**3 + 295*u**2 - 50*u = 0.\nAnswer: 0, 2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/15 + (-21)\/7. Let q = -8\/5 - p. Solve 0 - 2\/3*f - 4\/3*f**2 - q*f**3 = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21634, 43247, 64860, 86473?\nAnswer: 108086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w - 5. Suppose 0 = x - 4*i - 14, -i - 10 = -x + 2*i. Let a be q(x). Suppose 5 = a*v - 6*v. Solve -f + 2 = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10563 or 11853?\nAnswer: 10563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.8 - -28. Let q = 8 - b. Which is smaller: 0.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*b - 12, 4*a = 5*b + 27. Suppose 0 = 4*t - 11 + 15. What is the nearest to t in a, 2\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(3))**2 + (sqrt(48))**2*-6 - (-4 + (sqrt(75) - (sqrt(75) + 1))).\nAnswer: -264 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*-1*(-45 - -44). Suppose -9*o - x*o + 460 = 0. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -102, -199, -296, -393?\n\"Answer: -97*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540468, 4323811, 14592892, 34590579, 67559740?\nAnswer: 116743243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 8. Let x be l(-5). Let n = 84 - 81. Suppose -n*a + a + 5*d = -100, -4*a = x*d - 148. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5541, 22160, 49857, 88632, 138485, 199416, 271425?\nAnswer: 354512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 69*c - 67*c + 36, 3*c - 2 = -p. Let r(i) = -45*i**4 + 3*i**3 - 7*i**2 - 7. Let a(w) = -2*w**4 - w**2 - 1. Let d(k) = p*a(k) - 2*r(k). Factor d(y).\nAnswer: 2*y**3*(31*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 = b - 543. Solve 11*k = 5*k - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 23. What is the smallest common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172008130 - -172008159.0000004. Let y = -29 + p. What is y rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 - 5*k**4 + 5 + 16*k**3 - 16*k**3 wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Suppose 0*n - 9 = -3*n. Let h(s) = s**2 - n*s**2 + 4*s**2. What is h(a(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*g + 2*h - 19, 3*h + 3 = -4*g. Solve g*z - 3 = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -50. Let g be 2 - (-2 + -7)\/n. Is g bigger than 14\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19504 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:44 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, 4, 0.3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3484*p + 1763*p + 1771*p.\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -123, -212, -313, -432, -575?\n\"Answer: -r**3 - 82*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -15651*g**3\/7 + 7608*g**2\/7 - 132*g\/7 = 0. Calculate g.\nAnswer: 0, 2\/111, 22\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 * 0.0573587.\nAnswer: 7.6287071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 + (-3)\/(5 + 2144\/(-424)) and 340.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14288 + 14285. What is the fifth biggest value in 39\/2, -0.1, -1, t, -0.04?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -31, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, -16, 42, -22 in increasing order.\nAnswer: -22, -16, -3, 2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755713834?\nAnswer: 2, 377856917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:51 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153\/395 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxxwwwwwwqqwqzzxxm. What is prob of picking 2 z?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -1. Let l = -1133 - -1133. Let g be l\/(21\/((-126)\/12)). Which is the closest to -3? (a) p (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 800 + -797. Let r(t) = -9*t - 5 - 11 + 0*t + 11 - t**2 - m. What is r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 3 (b) -84823 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -7*n**2 - 16*n**2 - 259*n**4 + 257*n**4 - 18 + 3*n**2. What is the second derivative of u(g) wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1133340?\nAnswer: -1133341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/2*(-70)\/8. What is the common denominator of -31\/14 and 4 + l\/(-2) - (-8)\/(-12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - z + 4*z = -12, 0 = -3*d + z + 8. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72717672 divided by -3.\nAnswer: 24239224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -16*k**7\/231 - 8*k**6\/55 - 9*k**5\/110 + 3*k - 28. Let m(o) = 0. Calculate o.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*5195216.\nAnswer: 103904320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 865 - 567. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -28\/2601 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*-0.2.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/29)*(i*i*i*i\/(i*i**(-14)*i)*i*i)\/i*(i*i*i**0*i)\/i**(-2\/27) assuming i is positive.\nAnswer: i**(16474\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 - -0.1. Let a = -3.15 - d. Let k = -0.1 + a. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 209725698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 3*y. Let h be u(3). Suppose -h - 6 = 3*i. Let n(a) = -a**3 - 4*a**2 + 4*a - 5. Let g be n(i). Let v(s) = -s**2 + s - 10. Calculate v(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*224\/1440)\/(13\/3 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4941 + 1506 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36791\/2 + 165626\/9. What is the common denominator of 1\/(2 + 162\/(-31)) and j?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - (6 + -45 + 39 + -31)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477102682.\nAnswer: 2, 11, 139, 409, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(36)\/sqrt(3)) + 5.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**3 + 5*q**2 - 9*q - 6. Let g(s) = -20*s**3 - 15*s**2 + 26*s + 17. Let x(i) = 6*g(i) + 17*w(i). Determine x(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6355.409nm in centimeters?\nAnswer: 0.0006355409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 2413.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 14*t**2 + 16*t + 46. What are the prime factors of o(-16)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2*-1 + 0. Suppose -3*o + 21 = -f. What is the remainder when o is divided by ((-3)\/2)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359801849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 12 + 37 = -7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let c(i) = -6*i. Let q be (-10)\/25*2*5. Calculate q*c(t) + 12*h(t).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k - 8*k + 12*k**4 - k**3)*(-6 - 1 + 4).\nAnswer: -36*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 665*f + 88*f + 125*f + 23.\nAnswer: 887*f + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3766273, 3767054, 3767837, 3768622, 3769409, 3770198, 3770989?\n\"Answer: v**2 + 778*v + 3765494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226 - -223. What is the closest to -4\/7 in -2\/7, -2\/17, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21714\/1617)\/(((-60)\/(-21))\/10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -0.1, 0, 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9422*c**2. Let h(i) = 6*i. Give y(h(p)).\nAnswer: -339192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1578*u + 53729. Determine a(34).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**(-10\/7)*i)\/i)**(-1\/61))**(-3\/5) assuming i is positive.\nAnswer: i**(72\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*d**3 + 13*d - 9 wrt d.\nAnswer: -426*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*f + 2212 - 474 = -7007 - 271 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/3 + 115204*z\/3 + 2536424\/3.\nAnswer: -4*(z - 28823)*(z + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 630 - 332. Calculate the remainder when k is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -117, -1, 1, -144 in descending order.\nAnswer: 45, 1, -1, -117, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let s(i) = 22*i - 1 + 55*i + 14*i - 9*i. Calculate s(p(f)).\nAnswer: 164*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 s when four letters picked without replacement from {x: 4, s: 16}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092 times 2?\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**2\/2 - 9*f + 1. Suppose 21 + 14 = 5*s. Let l(b) = 0 - 15 + 15 + 1 + 6 - 2 + b. What is s*l(o) + 4*r(o)?\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77209745 - 26*g**3 - 77209745 + 23*g**2.\nAnswer: -26*g**3 + 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 497*x - 14. Let j(p) = 165*p - 5. Determine 17*j(f) - 6*w(f).\nAnswer: -177*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -328\/377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38465490.\nAnswer: 2, 3, 5, 7, 137, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -4*o. Suppose 3*p - 2*m - 117 = -m, -2*p + o*m = -74. Suppose -3*q + 0*y = -3*y - 24, 3*q = -y + p. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*c + 116 = 0, c + 8 = 2*f - 71. Let u be -2 - f\/(-25) - -1. Factor -18\/5*r**3 - 12\/5*r**4 - u*r**5 - 12\/5*r**2 + 0 - 3\/5*r.\nAnswer: -3*r*(r + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/(-5)*380\/114.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 1702.\nAnswer: 18722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.05554?\nAnswer: 0.11108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 5 = 7. Let f be (-7)\/((-7)\/(-1304)) + j. Let m = f - -2015. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/14 - 23\/14. Suppose -2\/7*s + 0 + c*s**3 + 2\/7*s**2 = 0. What is s?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-855)*-25*18\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:31 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 11*k + 10 + (0 - 1 - 1)*(3*k - k - k) + (-2*k + 3*k + k)*(-2 - 1 + 1) in the form b*k + r and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1438 or 11515\/8?\nAnswer: 11515\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s - 41*s - 103 + 5062. Solve 94*f - s*f = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (681\/4540)\/(24\/9280).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33239681.\nAnswer: 619, 53699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2100112 (base 3) to base 7\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498 - 10682.\nAnswer: -11180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5667 = 15*p - b + 5669 - 11289, -44 = -2*p + 4*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/5 - 170718*o**3 - 1707172*o**2\/5 = 0.\nAnswer: -426793, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixxxxxxixxxxxix. What is prob of picking 1 x and 1 i?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 19, 23, 41 in descending order.\nAnswer: 41, 23, 19, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.29 - 339.71. Let c = -343 - f. What is the closest to -6 in 6, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -168732 and 0.3463.\nAnswer: -168731.6537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2744626720 and -17.6.\nAnswer: -2744626737.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/51 + 12\/17. Let z = u + -1\/6. Let o be (-7)\/(-49) + 1\/(-7). Is z greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7531.432 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6726 divided by 1121?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l + 13 + 110 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*x + 40628, -x = 7*u - 2*u - 101609. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2033 less than -17862878045?\nAnswer: -17862876012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + b - 7*b + 0*b to the form s + m*b and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -258*k + 265*k - 35. Solve -12 + 2 = k*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9586*h - 593 = -9527*h + 1944 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19636, 23260, 29300, 37756, 48628, 61916?\nAnswer: 77620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 100 = 0. What is the greatest common divisor of 80 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 5*m + 5. Let x be n(-4). Let v = 177 + x. Let i = 99 - v. Round i to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(1\/6))\/(o**7*o)*(o\/(o\/o**(-2)))\/(o*o*o\/o**(-2\/3)*o) assuming o is positive.\nAnswer: o**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2048 - -2070. Suppose -m - 5*f = -28, 2*m + 3*f - 61 = 2. What is the greatest common divisor of q and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:53 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 - (5 + -6 - 1))) + 17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10009 - -10017. Let b(s) = -2*s - 4. Suppose -4*z - 27 = 9. Calculate the remainder when b(z) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5203 + 5?\nAnswer: -5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1980 and 63.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12506 divided by 26?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**4 - 3*f**3 - 21*f**2 - 9*f + 24. Let a(w) = -w**4 - w**3 - w + 1. Let h(n) = 6*a(n) - t(n). Solve h(u) = 0 for u.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13644.80948 - 0.02119.\nAnswer: -13644.83067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z - 1. Let m be 2 + (4 + -3)*-1. Let n be k(m). Let l be 0\/(((-24)\/4)\/2). Put l, 2, n in descending order.\nAnswer: n, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:14 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 + 20*g + 2. Let t be w(-3). Let l(y) = 3*y + 15*y**2 + y - 8 - 10*y**2. Is 7 a factor of l(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-1\/2)*q**(4\/7)\/q*((q**(-1\/5)*q*q*q)\/q)\/(q**(-1\/4)*q)*q*q*q**2*q*q**(-4\/11)*(q*q**0*q)**(-40) assuming q is positive.\nAnswer: q**(-112793\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -70. Let x be (6\/(-18))\/((-2)\/(-6)). Which is the nearest to x? (a) -2 (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 823 * -0.1.\nAnswer: -82.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 2, s: 2}. What is prob of picking 1 s and 1 o?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + q + 6 = -q, -3*a = -4*q - 2. What is the tens digit of (a\/(-3))\/1*1341\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 14*x + 2414 = 2734 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(1088) + sqrt(1088) - sqrt(1088)) + 3)**2 + -1.\nAnswer: 80*sqrt(17) + 1112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -0. Suppose u*p + 23 = 5. Which is smaller: -7 or p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3\/2. Let w(o) = -2*o - 3. Let t be w(-8). Let g = t - 8. Which is the third biggest value? (a) k (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016402 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(104))\/((sqrt(8) + sqrt(128))*-5).\nAnswer: 6*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10130 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 1946 = -37*v. Suppose v = 5*o - 152. Suppose -o - 105 = -5*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -23. Let w = 24 + g. What is the highest common divisor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -69. Calculate the remainder when u is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-2\/5)*m))\/m)\/(m*m**(2\/21)))**(7\/6)*((m\/(m\/m**(2\/3)*m*m))\/m)**(-10\/3)*((m*m**(-1))\/m*m)**10 assuming m is positive.\nAnswer: m**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.018971 + 0.019. Round t to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:20 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 5*o - 6. Let r = -40 + 43. List the prime factors of k(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43421803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 201216?\nAnswer: 1006080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1108.\nAnswer: -1\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from azaazzzzzzazaz?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 3*c**2 - 3*c - 1. Let d(r) = 6*r**2 + r - 2. Let j be d(-3). Let l be 4\/14 + (-210)\/j. Let q be v(l). Let u(z) = z**2 + 5*z - 3. What is u(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19473474*b**5 - 488777*b**2 - b - 6 wrt b.\nAnswer: 1168408440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m - 1 = w, -4*m = 12. Let c(u) be the first derivative of -u**3\/3 - 10*u**2 - 26*u + 23. Let j be c(-18). Which is greater: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 440997, 441035, 441079, 441129, 441185, 441247?\n\"Answer: 3*u**2 + 29*u + 440965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyz when three letters picked without replacement from hnxzyzy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7953 and 5973?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1553927 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-nine quarters of a microsecond?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87903596*h**2 + 3512*h - 3416.\nAnswer: -175807192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763079 is divided by 834.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 403 = 97*h, -3*h + t - 14 - 23 = -28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 105? (a) 0.21 (b) -3\/4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 88387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 18*l**2 - 9*l - 33. Let s(v) = -2*v**3 - 18*v**2 - 8*v - 32. Let q(a) = -3*h(a) + 2*s(a). Is q(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 917 and 3144.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-65)*(240\/32)\/(-15).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*n**2*o - 23610*f**2*n*o + 69704*f*n**2*o - 2*f*n - 9*f*o - 3*n**2 wrt n?\nAnswer: -4*f**2*o + 139408*f*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249410205 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 1:58 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 14*d - 8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66805332539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -367*c**3 + 16*c - 367*c**3 - 22 + 735*c**3 - 15*c**2. What is the remainder when u(14) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4597306 years?\nAnswer: 0.0004597306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -19, 17, -17, -4, 0 in descending order.\nAnswer: 17, 6, 0, -3, -4, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 23 = -4*h, 172 - 159 = 2*h - r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-3.96\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*y + n = 3*y - 6*y - 30, -3*y + 54*n = 132 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -453438\/13 or -34880?\nAnswer: -453438\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718837147?\nAnswer: 7, 23, 37, 120671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 - d**2 - 178*d + 5 + 187*d. Let o be (-6)\/(-5)*(1575\/(-14))\/(-15). Calculate a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 2. Suppose -4*o + 24 - 37 = 5*q, 0 = -o - 3*q - 12. Let f(c) be the second derivative of 0 + c**2 + 13*c + 1\/3*c**o. Give -2*f(i) + 3*r(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -183249*o**2 + 15*o + 26. Let a be s(-2). What is a rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248.92 - 3413758.949.\nAnswer: -3414007.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 14 = 3*v, 2*v = -2*m - 1 - 3. Suppose g + 4 = -m. Find the common denominator of 28\/3 and g\/8 - (-2)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/3 (b) -29\/4 (c) -0.083\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w + 254. Let v be s(6). Suppose -3*y = -188 + v. Solve b - q + 6 = 0, y*b - 5*q + 40 = 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*9\/(-84))\/((3\/(-16))\/(2500\/(-800)))?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 7*j**2 - 8*j + 7. Let l be q(4). Let n = 111 + l. Solve r + n = -d, 5*d - 4*r = 4*d + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 79*f**6\/10 + 120*f**5 + f**2 - 138*f - 1. What is the third derivative of q(a) wrt a?\nAnswer: 5688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -32*(-84)\/(-14958) + (-4)\/(-36). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -212?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -21*n - 1. Let i be q(-1). Let g = i + -2. Let j(x) = 3*x. Let z be j(2). What is the highest common factor of g and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -615*s**2. Let f(z) be the second derivative of -17*z**4\/12 + 4296*z. Give f(b(c)).\nAnswer: -6429825*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*q - 80*q + 1736439. What is the highest common factor of 53 and q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17.9. Which is smaller: -2\/21 or i?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2143 rounded to two decimal places?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 71 = 29. Let p = -40 + 90. Calculate the greatest common factor of p and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**3 - 9*i**2 - 9*i + 9. Suppose 3*x = 24 + 3. Let u(d) = 4 + 3*d**3 - 8*d**3 - 4*d**2 + 2*d - 6*d. What is x*u(y) - 4*h(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -5\/4, 11\/20, 0.4, -0.5, 0.3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3200 + -22011201?\nAnswer: -22002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 11:15 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (4 - (2 - 10)) - (5 - 5)) + -43.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/6 - 6*m**2 - 305*m. Let l be c(14). Solve 0 = 3*s + l*i - 4, 3*s - 4 + 6 = i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21217, -42398, -63577, -84754, -105929, -127102, -148273?\nAnswer: -169442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -786770 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(162) + 0 + -4)*-1.\nAnswer: -9*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {o: 3, t: 1, a: 4, d: 2, l: 3, k: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 205898\/(-143) - 4\/26. What is the common denominator of 2040\/g - 4\/18 and -9\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.035468 hours in minutes?\nAnswer: 62.12808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228.654 centimeters in meters?\nAnswer: 32.28654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1148\/364 + 1*(-4)\/26. Suppose -101 = -5*m - 2*k, 4*m - z*k - 61 = 6. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 24 = -2*s. Let w(d) = 2*d - 30. Let p be w(16). Suppose 0 + s = p*t. Calculate the greatest common divisor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 907591 to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/3 - 3407*q**4\/3 + 3871486*q**3\/3 - 1469868130*q**2\/3 + 2928135425*q\/3 - 1462135375\/3.\nAnswer: (q - 1135)**3*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25488 and 20.1.\nAnswer: -512308.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 - 6*f - 7. What is the hundreds digit of m(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 2*a - 414 = 0, 0 = -4*a + 20. Let v be ((-2 - -1) + 5)*1. Suppose 4*p - v*w = 136, -w + x = 3*p - 3*w. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71114279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1\/(1\/(-5)). Suppose z = 1, 2*n + 3*n - 36 = 4*z. Solve -m - n = -h*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t + 54*t - 24 = 0. Let q(n) = -71*n + 9. Is q(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -3, -15, -33, -57, -87?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**4 - o**4 + 5*o**4)*(-5 + 3 - 7) + (o + 2 - 2)*(-6*o**3 + o**3 + o**3) to the form x*o**3 + v*o + u*o**4 + k + l*o**2 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62874 by 2.\nAnswer: -31437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1035 + 620?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) + (-212)\/(-44). Suppose 2*r = -3*r + 20. Suppose -u*q + 3*b = -314, r*q - 9*q + 328 = 4*b. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 2:06 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 67. Calculate q(-11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159398 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: Is 900929087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -33*g + 35*g. Let q = g - -225. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/5)*z*z**24)\/(z*z*z\/((z\/((z**22*z*z)\/z))\/z*z))**(7\/4) assuming z is positive.\nAnswer: z**(-359\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 507735 - 3?\nAnswer: 507732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -166, -384, -688, -1078?\n\"Answer: -43*j**2 - 3*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69622.872 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 1. Let k(u) = u**3 + 7*u**2 + 8*u + 9. Let p be k(-6). Determine w(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 21*r + 191. Let t be s(-9). Suppose 33*g - 6720 = -t*g. Calculate the remainder when g is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19851 + 21524. What is the greatest common factor of r and 717?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344.01055073 + -0.43.\nAnswer: 343.58055073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4946 - -5269. Calculate the remainder when f is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.055 in 2\/15, 0.4, -1.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1069 - 1061. Solve 2*b = -4*f + 12, -3*b = -3*f - v*b + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209168 and 72286.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 + 24 = 0. Is w greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e + -1d?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/21604 or 1948?\nAnswer: 1948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-201 + 178).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24441 (base 5) to base 15.\nAnswer: 84b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/(o**(-15)*o))\/o)*o*o*o*o*(o**0\/o)\/o)\/(o**(6\/13)*(o*o**(-7)*o*o)\/o*o*o))**(-3\/4) assuming o is positive.\nAnswer: o**(369\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179696 is divided by 11230?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.106 and 429649?\nAnswer: 45542.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 13. Suppose -315 = -5*r + 60. Let p = -89 + r. Are h and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + u = -77, -3*f - 166 = -f - u. Let h(q) = -3*q**2 + 6*q - 4. Let b be h(5). Let r = b - f. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 3. Let m = a + 16. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(192)))**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30272756 and 22704567?\nAnswer: 90818268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -58, -69?\n\"Answer: -11*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l - 4. Let p be f(-2). Suppose p*g - 45 = 231. Suppose -o + g = -20. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 327473151 and 133?\nAnswer: 2292312057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 10:52 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + 2. Let g = 4 - l. Let q = 27 + g. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 (base 8) to base 16\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194035, 776263, 1746697, 3105343, 4852207, 6987295, 9510613?\nAnswer: 12422167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 2*r**2 - 8 + 8 + (-3 + 3 - 2*r**3)*(-2*r + 5*r - 4*r).\nAnswer: 4*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 2*f)*(2 + 1 - 2) - 3 - f + 3 + (-f - f + 4*f)*(-5 - 4 + 2).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335 + 10?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2265 in ascending order.\nAnswer: -2265, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8\/5)\/h*h)\/h)**(-7\/2)*h**(1\/23)*h\/h**(-7\/6)*h assuming h is positive.\nAnswer: h**(6079\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*m - 13, 2*m + 3*i = -0*i - 9. Suppose j + m = -w + 10, -3*w = -3*j - 15. What is the units digit of 2\/1 + (w - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1255, 4547, 9985, 17575, 27323, 39235, 53317?\n\"Answer: j**3 + 1067*j**2 + 84*j + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2683947987, 2683947986, 2683947985, 2683947984?\nAnswer: 2683947983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*k**3*y**2 + 13*c*k**3*y + 2*c*k**2 + 7*c*k*y**2 + 34*k**3*y**2 - 6*k**2 - 4*k*y**2 wrt k.\nAnswer: 6*c*y**2 + 78*c*y + 204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1321, 1332, 1349, 1372?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -23. Let o(a) = -a**2 - 15*a + 3. Let p be o(v). Suppose -u - p*c + c = -20, 3*u + 4*c = 62. Calculate the greatest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 440 + 595. Let k(x) = -17*x - 118. What is the lowest common multiple of k(-17) and h?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001006779663 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -0.4 (c) -1 (d) -114 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j**3 - 29*j**2 + 61*j + 69. Let k(d) = 4*d**3 + 7*d**2 - 15*d - 17. Let r(z) = -9*k(z) - 2*u(z). Is r(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*x + 1 = 8*x, -4*a + 4*x = -4. Solve a*v = -10*v - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 61151*v + 856088. Give r(-14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/8 and ((-2769)\/208 + 24)\/((-2073)\/4)?\nAnswer: 5528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 6*r - 9. Determine v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -40, -30, -4, 44, 120, 230, 380?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Solve -f + 5*u + 7 = 3*f, z = 3*u + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 + (-4 - -2) + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/24 + 7\/8. Suppose 2*y = 3 + 5. Let f be (y - 0) + 66\/11. Which is the third biggest value? (a) -3 (b) j (c) -4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b - 3. Let p(d) = -7*d + 4. What is -3*p(y) - 4*w(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230298384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 2*x**7\/735 - 4*x**5\/35 + 8*x**4\/21 - 12*x**2 + x. Solve b(a) = 0 for a.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 1528*k**2 + 3.\nAnswer: -1528*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34271, -68534, -102797, -137060?\n\"Answer: -34263*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 2*s - 85*s**3 + 2*s - 2 + 100*s**3 as q + x*s + z*s**2 + n*s**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -183366.\nAnswer: 183369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**5\/55 + p**4\/22 + 14*p**3\/33 - 13*p**2\/11 + 12*p\/11 + 13. Find l, given that g(l) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - (-4 - -9)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -195, -429, -761, -1197, -1743, -2405?\nAnswer: -3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*i + 2, 0 = -f + 14*i - 11*i + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/48)\/((5\/10)\/((-123)\/(-13202))).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/171 and 53\/484956.\nAnswer: 484956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 49, 60, 87, 136, 213, 324, 475?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4000.3042 at most as big as 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:25 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 12*l**2 + 32*l - 23. Calculate the lowest common multiple of 422 and x(9).\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2 + 4*t - 3. Calculate k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42193 take away -33577?\nAnswer: -8616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/14386116 and 169\/31800888.\nAnswer: 604216872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049284195 to 3 decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 66268*o + 1591584.\nAnswer: -2*(o - 24)*(o + 33158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u - 3*u)*(52*u**2 + 2*u - 79*u**2 + 52*u**2).\nAnswer: -50*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4983 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7388 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*2*sqrt(70)*-4)\/((sqrt(10) - (sqrt(110)*-2)\/sqrt(11)) + -2*sqrt(490)).\nAnswer: -32*sqrt(7)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + -23 - 17) + 14 - (-20 + 4 + 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1410 + 1425. What is the nearest to -1\/3 in -1\/4, -2, -3\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4140.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21333313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520961816?\nAnswer: 2, 7573, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-60)\/(-24300)*54)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmmmjjmjmmmjm. Give prob of picking 1 m and 1 j.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*k + 2*k + 12516, 2*c = -3*k + 18786. List the prime factors of k.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.58314 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:14 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z. Let x(l) = 171*l. Give n(x(s)).\nAnswer: 513*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 1. Let f(x) = -8*x**2 + 10. Let w(q) = -30*b(q) - 3*f(q). Let u(d) be the first derivative of 13*d**3\/3 + 121240. Calculate u(w(i)).\nAnswer: 468*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111010101100 - -1001100?\nAnswer: 11111011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r + 3*r**2 + 0*r**2 + r - 7*r**2 as t*r + q*r**2 + f and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 277962 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**28*y)\/y)**(-47))**(-17))**(-28) assuming y is positive.\nAnswer: y**(-648788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 336. Let n(w) = 8*w - 869. Determine n(q(s)).\nAnswer: -8*s - 3557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48616264*b**3 - 24308076*b**3 - 24308182*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - -21. Let t = b + 191. Let y(m) = m**3 + 9*m**2 - 12*m + 9. Let p be y(-10). Calculate the highest common divisor of t and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = -7*h + 16730. Suppose -h*a + 476*a + 2394 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 1375*i - 874149. What is q(473)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*7\/(-315) + 5 + 23\/(-5). Let h = 2 - 1. Let a = -3 - 1. What is the nearest to u in h, -2, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -13, 104, 439, 0.5.\nAnswer: -13, -0.3, 0.5, 104, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 33141 = -3*b - 11*h, 0 = -5*b - 3*h + 55235. What are the prime factors of b?\nAnswer: 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 + 2*o - 1. Let l = 17 - 20. Let r be k(l). What is the closest to 1 in -1, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.2986 - 0.2986. Which is the nearest to -0.08? (a) u (b) 5 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8196954119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a - 3. Let o be r(2). Let h = -16 + 20. Put h, o, -17 in ascending order.\nAnswer: -17, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 10*r**2 + r + 47. Suppose 5*y + 40 = -5*w, 3*w = 7*w - 4. Let u be n(y). Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -87*x + 91. Let v(f) = 31*f - 29. Give -3*p(j) - 8*v(j).\nAnswer: 13*j - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = a - 723, -q + 5*a = 4*q - 705. Let j be (5 + (-60)\/9)*-3. Suppose t - r - q = -3*t, -3*t + j*r + 125 = 0. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 211\/126000 and -127\/1116000.\nAnswer: 7812000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/2526 + 14104\/1263. Find the common denominator of w and (-266)\/24*4\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -129011, -258429, -387847?\n\"Answer: -129418*i + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let d = 0.0858 - -0.4142. Let a = 1 - -1. What is the nearest to a in 3, d, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185\/528 - -3\/176. Is 121 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 + 5 + -2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 139 + 533 = 0. Calculate the greatest common factor of 228 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 9601?\nAnswer: 307232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281 - 510. Let z = 226 + n. Which is the smallest value? (a) 3 (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1, 7.\nAnswer: -1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33318561*p**5 - 2*p**2 - 47089*p + 1 wrt p.\nAnswer: 1999113660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -23. Let u be d\/35 - (-74)\/14. Let l(y) = 4*y + 4. Let i(t) = 3*t + 3. Calculate u*l(w) - 7*i(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 67 - 55. Suppose -t*k = 23 - 11. Let i(z) = -8*z - 7. Let o(r) = -r - 1. Give k*i(d) + 28*o(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 5*p - 19, -3*p = -h - 13. Suppose -14 = 3*s + i, -4*s = -2*i + 2 - 0. Let y = s - h. Put -2, 0, y in descending order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69447 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1179*i - 555*i - 1278*i - 2890*i.\nAnswer: -3544*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, j: 1, s: 4, c: 6}. What is prob of sequence csq?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17.415 and 234676.799?\nAnswer: 234694.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/8 - 137*u - 60897\/8.\nAnswer: (u - 1149)*(u + 53)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271143509 and 1042?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = -h + 4, h = n + 14. Let u(b) = 4*b**2 + 11*b + 9. Let g = -26391 - -26385. Let q(o) = o + 2*o + 2*o + 4 + 2*o**2. Give g*u(z) + h*q(z).\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61\/60 - 5\/12. Let z = 0 + 0. Does i = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 527285 + -7?\nAnswer: 527278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvovvvo. Give prob of sequence oovv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 99, 150?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 49. Calculate t(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*k + 30. Suppose -k*g + 13 = 43. Let r(x) = -x**2 - x + 7. Let u be r(-5). Which is the closest to 1? (a) 0 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 750569046090 less than 0.9?\nAnswer: -750569046089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -17*p - 10, 4*p = 5*l - 24 + 55 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1061*u + 5. Let i(j) = 7*j + 2. Give i(k(r)).\nAnswer: -7427*r + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5. Let j(x) = 6*x + 60. Let g(r) = -3*j(r) - 36*z(r). Let v(m) = 1 - 1 + m + 0. Give v(g(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1827770 or -1827836?\nAnswer: -1827836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2512 - -2542. What is the remainder when 172 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*v + 15. Suppose 0 = -2*a + 2 + 2. Solve f + a = v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10546\/3 or -3516?\nAnswer: -10546\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7502 is divided by 266.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -7. Let r be (-10)\/h - (-26)\/10. Find the second derivative of -6*c**3 + 5*c + 3*c + 15*c**r wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/6 + -1)\/((-3)\/234)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60318184 and 6.\nAnswer: 180954552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/12 - 3*t**3\/2 + 6*t**2 + 4*t - 5. Let z(s) be the first derivative of x(s). What are the prime factors of z(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6272, -5, -2837 in ascending order.\nAnswer: -2837, -5, 6272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7601 divided by -61523.\nAnswer: 691\/5593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 367.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 150. Let q(j) = j - 5. Let h be q(8). Suppose h*w + 3*u + 10 = 4*u, -w - 5*u - m = 0. Let t(s) = -s**2 - 6*s - 4. Calculate t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 12. Suppose -4*y + 20 = -2*a, 2*a + u = 3*y - 4. Suppose 2*w - 104 = -3*r + 7*r, 0 = -y*w - r + 227. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 66*u - 1272. Let a be h(20). Solve r = 9*r + a for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30523305, -30523301, -30523295, -30523287, -30523277, -30523265?\n\"Answer: w**2 + w - 30523307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11005 * -809.\nAnswer: -8903045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1\/9, 1, 1\/3, 3\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 1. Let g be f(0). Let u = -11 - -8. What is the closest to -2\/3 in u, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 279\/(-6)*2\/3. Let k = w - -35. Solve -3*h + f = -h - 5, k*h + f = 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -1\/2*b**2 - 1\/4*b**3 + 0 + b - 1\/24*b**4. Factor t(l).\nAnswer: -(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 - (4 - (5 + 4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) 1 (c) 9\/2234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1270, -51889, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 0 - 14*h**2 + 0*h - 17\/24*h**4 - 5\/6*h**3. Differentiate q(d) wrt d.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 22*z + 20. Let t(w) be the third derivative of w**4\/24 + 4213*w**2. Give t(v(q)).\nAnswer: 22*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18433.8 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3 + 8*a + 3 + 3. Is 4 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.027\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**3\/3 + 50*n**2\/3 - 188*n - 48.\nAnswer: 2*(n - 6)*(n + 12)*(4*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -80*b - 14525. What is k(-180)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 2*i**5 + 0*i**3 + (-57 + 3*i**2 + 57)*(0*i**3 - i**3 - 2*i**3) + 0 + 0 + 2*i**5 + (-i**2 + 3*i**2 + i**2)*(-4*i**3 + 4*i**3 + 2*i**3).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v + 6 = 0. Let o = 2283\/5 + -455. Is o at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 8*r - 3*r. Let s = 1 - r. Solve -4*q - 12 = -s*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 252.1948 centimeters?\nAnswer: 2521948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(2*h**2 - 6*h**2 + h**2) + (-4*h - h + 4*h)*(-9 + 9 + 9*h) in the form a*h + b*h**2 + v and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/(-10)*-4*(-30 + 54 + 66).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11012, 11014, 11018, 11024, 11032?\nAnswer: 11042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -595, -1250, -2021, -2908, -3911?\nAnswer: -5030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 114562, 229066, 343570, 458074, 572578?\n\"Answer: 114504*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81888.5 - -81889. Let p = 1 - 1.5. Let b = -2.06 + 0.06. Put b, y, p, 0.2 in descending order.\nAnswer: y, 0.2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 + 11 = 0. Suppose x*d = 3*o - 1, 5*d - o - 5 = 2. Suppose 58 - 260 = -d*g. What are the prime factors of g?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 40. Let r be 1\/(8\/(-236))*(k + 1). Let i = 40 + r. Is i a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.9, 2, -3\/4, -2\/155?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from {g: 9, h: 2, y: 6, z: 2}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 248?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3285\/12 + 3\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 6311*n\/2.\nAnswer: -n*(n + 12622)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 124*w - 34*w**2 + 130*w - 421*w + 4*w**3 + 114 + 133*w - 5*w**3. What is the remainder when h(-33) is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 23, 0 in increasing order.\nAnswer: -7, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 0*a + d + 3, -d = -a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.629947 rounded to three decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18*u + 21*u = 2658814, -3*u - 2658838 = -2*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -0.3. Let k = 0.2 - l. Let w = -0.4 - k. Sort 0, w, 1 in increasing order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:08 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0794118 rounded to 4 decimal places?\nAnswer: 0.0794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1)**(3\/43)*(x**(3\/4)*x)\/((x\/((x*(x**5*x)\/x)\/x*x))\/x)*(x\/x**(-6)*x*x*x)\/(x*x**0\/x*x)*(x\/(x*x\/x**2))\/x**(1\/3) assuming x is positive.\nAnswer: x**(209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y - 7. Let s be p(-8). Suppose -5*r + 24 = -s. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-48)\/9240*(-21)\/(-4)*58\/(-87)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 - 85*u**4 - 415*u**3 + 1925*u**2 + 7250*u + 5000 = 0. What is u?\nAnswer: -5, -2, -1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -71. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let y(r) = -74*r - 9. Let o(c) = 9702*c + 1176. Let s(z) = 3*o(z) + 392*y(z). Give l(s(n)).\nAnswer: 196*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 2171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -599632768 by -669233.\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39031 and 1840.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568355 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/11)*o**(1\/17)\/o assuming o is positive.\nAnswer: o**(-193\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-630))\/((-97)\/2910).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13401004422 - 24?\nAnswer: 13401004343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sasjviaisajiajav. What is prob of picking 1 v and 3 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.58 + 0.42. Is x bigger than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, x: 7}. What is prob of sequence nn?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 5)*(1 - 4*u + 3*u + 0).\nAnswer: -7*u + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 58, -2, 3, 0.2, 0.067, -6?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1212*z - 2058. What is the least common multiple of c(2) and 610?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-158940)\/(-32) + ((-6)\/(-16))\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 6*c - 4. Let j = c + -59. Let p(y) = -y - 5. What is p(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 5*a + 5*a)*(-41 - 36 + 28)*(2 + 2 - 2)*(0 + 0 - 2*a).\nAnswer: 588*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1246359 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4196939*o + 3006267?\nAnswer: -4196939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-5))\/(4 + (-21)\/3). Put b, -2, 8, -5 in increasing order.\nAnswer: -5, -2, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 579*g + 3087. What is x(-121)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 7*s - 5. Let a be (-30)\/(-4) - (-1)\/(-2). Determine l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 5*y)*(5 - 5 - 2)*(5*y - 5*y - y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w**(3\/5)*w*((w*w**(-6))\/w*w)\/(w**6\/w*w))**(-20) assuming w is positive.\nAnswer: w**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 4 + (28 - 18) + -30.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 211?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -169 + 10\/15*3. Let h = d - -171. Solve -k - 3 = -5, -h*x + 2*k = -8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143.85 - 3.15. Let b = z + 208. Let s = b - 60.99999946. Round s to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003641242 rounded to 6 dps?\nAnswer: 0.000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68086 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -123344*t - 369930. Calculate v(-3).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7971 less than 0.1?\nAnswer: -7.6971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(19) + (sqrt(456)\/sqrt(12) + sqrt(38))\/sqrt(2))*1 + -3)**2*5.\nAnswer: 60*sqrt(19) + 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(4\/7)\/u*u))\/u*u**(-5))**(-1\/73))**33)**(-2\/33) assuming u is positive.\nAnswer: u**(-78\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-4)\/8 - (-864)\/144\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 + 3*y + 5*y**2 + 11 - 3*y**3 + 4 - 15 as u*y + b*y**2 + l*y**3 + x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.092 + 29.692. Let z = j - 26. Let n = z + -3.2. Which is the second biggest value? (a) 0.5 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*g + 13, -3*z - g = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418469058 by 308151.\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 2*l**3 - 4*l**3 + 9*l**2 + 8 + l**3 - 7*l. Let s be z(8). Let c = s + -6. Solve -2*x - 5 = n + c*n, -x = -n + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 7. Let a(j) = 11*j + 1. Let g be a(f). Calculate the highest common divisor of 96 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 3, 2, 161?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 39 + 32 - 71 + 5*d**2. Suppose 2*o + 9 = 3*m, -o = -0*m + m + 2. Calculate the smallest common multiple of a(m) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -569 - -147. Let j = 422 + u. Solve -q + 20 - 18 = j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 * 2815\nAnswer: -73.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 694700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 3, p: 2, f: 5, i: 1, j: 1}. Give prob of picking 1 p and 1 j.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -7*a + a. Let g = a + -11. Calculate the remainder when 88 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -1, -22.\nAnswer: -102, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5522 + 114*c**2 - 5522 - 18*c.\nAnswer: 114*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1294191, -2588384, -3882577, -5176770, -6470963, -7765156?\nAnswer: -9059349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 27*w - 3*m = 30, 3*w - 5 = 2*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 309, 2070, 6713, 15678, 30405, 52334, 82905?\n\"Answer: 240*g**3 + g**2 + 78*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.88963 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 53046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 4. Let u be g(-1). Is (-13065)\/10*((-2)\/u - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -454 in -0.02, -0.05, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-20)*4*(-3)\/((-225)\/100))\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -4. Let h(f) = -7*f + 3. Let v be h(g). Suppose y + j = 5 + v, 2*j - 165 = -5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289*l**4 + 2 + 1 - l**2 - 290*l**4 to a + n*l**4 + s*l + u*l**3 + o*l**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (72\/45)\/(-1*6\/15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 5400*p**2 - 99260*p + 483120.\nAnswer: 5*(p - 1098)*(p - 4)*(p + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 5:41 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*w = -3, -4*i - 1 = -w - 11. Let a(k) = -5*k**2 + 708*k - 2061. Let s be a(3). Solve -2*z - s = 3*n - 5*n, -5*n + 13 = i*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 - 152. Let i = 46 - 28. Suppose 6*z + i = 48. Calculate the remainder when d is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*k = 488, -2*k = -41*w + 40*w + 119. Calculate the remainder when w is divided by 77.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6141 plus -64?\nAnswer: -6205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958236807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 + 13048*m + 740487 = 0.\nAnswer: -12991, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*j - 13, 2*p + 5 = 5*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1446 + -96877\/67. Is -1 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 9. Let c be r(11). Let a be 3 - -7 - 2\/(-3 - c). Suppose 0 = -j - m + 115 + a, 2*m + 656 = 5*j. What is j rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4571*q + 525666. What is m(-115)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 28 + 3 + 11*x + 8 to the form c*x + m and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.402328 times -4?\nAnswer: -1.609312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4907 * -0.89.\nAnswer: 0.436723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhbqhhqhjjhqhbh. Give prob of picking 1 h and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0, -23, 4, 1, 26 in decreasing order.\nAnswer: 26, 4, 1, 0, -23, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 > -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6069665?\nAnswer: 5, 7, 37, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4328903 and 5453?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 29 = 3*v, -50 = 2*v + 3163*c - 3158*c for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(-2 - -3) - (-2)\/1. Let l be (-39)\/(-9) - 6\/(-27)*u. Solve -3*p + l*c + 12 = 0, p + 5*c = 2 - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (3 + 0 - 1). Suppose -c = -4*b + 5. Solve b*d - 6 = 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16017 and -0.356.\nAnswer: 16016.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431724574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3 + 0 + sqrt(720) + sqrt(720)*-1 - (4 + (sqrt(720) - (-1 + sqrt(720))) + sqrt(720) + -1*sqrt(720) + 2))**2)*-2.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -275*l**2 - 1930*l - 8. Let u be a(-7). Solve -u*m - 23 = 139 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d + 73*d - 1187 = 1959. What is the highest common divisor of d and 2750?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1538766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -2)*((-234)\/(-24) + -10).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -82*u - 15. Let x(v) = -135*v - 25. Let o(z) = -5*t(z) + 3*x(z). Let y(w) = -744*w - 1. Calculate y(o(a)).\nAnswer: -3720*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5 - b**2 + 33*b - 36*b + 3 + 0. Give a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3737 - -49854. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5436 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0306 - -2710541886?\nAnswer: 2710541885.9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**4\/24 + 7*g**3\/2 + g**2 - g. Let b(h) be the first derivative of q(h). Is b(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -2.6. Which is the biggest value? (a) -4 (b) 4\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225767.\nAnswer: 225767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10547*k**4 + 8708 with respect to k.\nAnswer: -42188*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5776*v**3 + 6080*v**2 + 308*v + 4 = 0?\nAnswer: -1, -1\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1252 divided by -776.\nAnswer: -313\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4977754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25, 0.7, 0.5, 4, 0.4 in increasing order.\nAnswer: 1\/25, 0.4, 0.5, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-4 - ((1 - -4) + -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250120*p - 250120*p + 182*p**3.\nAnswer: 182*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*v + v**2 + v**2 - 8*v**4 + 11 + 9*v**4 in the form j*v**2 + t*v**4 + o*v**3 + k*v + a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4895)\/(-77))\/5 + (-10)\/14 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23154269 and -7.\nAnswer: -162079883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1093 + 1105. Calculate the remainder when 272 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 + 0*b**2 + 3*b**2)*(5*b - 3*b - 4*b) + 2*b**3 - 2*b**2 - 4*b**3 + b**3 to u*b**3 + q*b + x + o*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - (-2 - 0 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -165.\nAnswer: 47\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 328 (b) 0.1 (c) -5 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/19 - 15\/38. Let d be 21\/(-14)*(1 + -7). Let c be (-3)\/(-135) + (-2)\/d. What is the closest to u in -4, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7. Let n(y) = -y**2 - 8*y - 3. Let a be n(-8). Let f be 138\/18 - ((-10)\/a)\/5. Solve -2*m + k = f, x*m - k + 12 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 6*h + 3. Let s be k(3). Suppose -s*x = -5*u - 104980, -u - u = x - 35008. Suppose -2*w = -0*w + x. What is w rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - (sqrt(539) - (sqrt(539) + -2*sqrt(539) + -4))**2.\nAnswer: -2172 - 105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 0 - 6\/3. Let v = -7 + n. Let f = v - 5. Round f to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5721191 to the power of 1\/2, to the nearest integer?\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7058609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17115732 and 4104?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 305132*s - 305068*s.\nAnswer: 64*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 1. Let f = -65 - -64. Let c = f - 34. Let m be ((-200)\/c - 6) + (-86)\/(-7). Let d(s) = -9*s**2 - 12. Calculate m*w(b) + d(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 3, 6, -84, 19, -4 in increasing order.\nAnswer: -84, -4, 3, 6, 19, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 1 - ((-4 - -5) + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) -5\/4 (c) 45 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 - 4*w**2 - 4*w - 3. Let b(r) = r**3 - 1. Let i(c) = 3*b(c) - p(c). Let h be i(4). What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10\/9, -18, -3\/4, 440, -3 in decreasing order.\nAnswer: 440, 2, -3\/4, -10\/9, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p**(3\/7)*(p**(-2\/5))**(-36))\/((p**(2\/7))**(-3\/26)*(p**(2\/3))**(-22)) assuming p is positive.\nAnswer: p**(6928\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (35 + -225)*(-329)\/(-658)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -10)*(1 + -2). Put -1, d, -0.06 in decreasing order.\nAnswer: -0.06, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74 - -75) + -22 + 0 + 2 + -3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1640635.5 months to decades.\nAnswer: 13671.9625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 76*u. Suppose n = -4*s + 6*n + 751, 4*n - 193 = -s. Let h(p) = -s*p**2 - 191*p**2 - 187*p**2 + 565*p**2. What is h(a(x))?\nAnswer: -11552*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 minus -0.016?\nAnswer: -371.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102420022 - -42?\nAnswer: 102420114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5 + 4 + 2. Let i = -9 - -5. Suppose -3*k = b - 4, 0 = -b + 4*k - 3*k. Let j(u) = -2*u**2 - 3*u + 4. Determine b*j(m) + i*p(m).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**3 + 9499*x**2 + 49530*x = 0.\nAnswer: -26\/5, 0, 1905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.201 and 204.\nAnswer: 204.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180.0748 rounded to zero dps?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 + 698 = 207*k - 933 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 16 = -y. Which is smaller: -7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 502200 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 3234.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Does 7 divide (3\/(-6))\/(p\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120546, 482187, 1084924, 1928757, 3013686?\nAnswer: 4339711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/2*(-6)\/(-36)*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 34308.5 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 6 + -6 - -2) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 17*k + 33. Let d be w(15). Do 22\/7 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 850*p + 1680.\nAnswer: 5*(p + 2)*(p + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33 and 73.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18483*p**4 + 13*p + 932?\nAnswer: 221796*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 166\/7 (b) 33 (c) 6\/11 (d) 5 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*m + 10462 = -9276 + 1072 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 9*y + 5. Let z(m) = -1. What is -k(q) - 4*z(q)?\nAnswer: 2*q**2 - 9*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 767772 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-2\/3))**(-44)\/((q\/q**(9\/4))\/q**(-4\/5)) assuming q is positive.\nAnswer: q**(-3493\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1603 + -853. Is -10 + 14 - s\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(2 - 2 + 2*b**2)*(329*b - 12*b + 29*b).\nAnswer: -1384*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4654 - -4659. Solve 0 = s*w + 3*p - 25, w - 30*p = -25*p - 23 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6409 + -6404. Solve 3*n = i - 0*i + 15, 0 = -2*n + p*i + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (19 + 7 - -46) - -1?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -40*z**2. Let o(y) = -29741*y. Give o(r(i)).\nAnswer: 1189640*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 27 = r + 5*s, -3*r + 5*s = 31. Let v be 293\/(-3) + r\/6. Let h = 51 - v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + f - f + (0*f + 0*f - f**2)*(-f + 2 - 2) + f**3 + 3*f**3 - 3*f**3 - f**3 - 3*f**3 - f**3 + 114*f**2 + 107*f**2 - 221*f**2 + 189*f**3.\nAnswer: 188*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.46 + -3.06. Let j = 6458\/19 + -340. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0604*0.6.\nAnswer: 0.03624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 157495203989697\nAnswer: -157495203989699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-48132)\/(-630))\/(1\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 8*r = -186. List the prime factors of r.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 7)\/1 - 1. Let h(d) = -d**2. Let u(a) = -3*a**2 + 5*a + 2. Let k(l) = 2*h(l) - u(l). Let r be k(c). Solve -1 = -f + 3*g + 3, 4*f + 8 = r*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1764399?\nAnswer: 882199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3534 + 4965. Calculate the highest common divisor of 53 and j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16931 is divided by 87.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, 95, 2, -304, 9 in ascending order.\nAnswer: -304, -4, -1, 0, 2, 9, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmejveemmmvmxceecmjc. Give prob of sequence xe.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -525.2332 and -15.2612?\nAnswer: 509.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4443 + 4462. Which is the second smallest value? (a) -2 (b) 71 (c) p (d) -0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2950)\/(-4425)*(-6)\/1*(-9)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -4\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -61. Suppose 11*r - 7*r - 116 = w. What is the remainder when -8 + 6 + (55 - -1) is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -467 (base 9) to base 12.\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - 5*q - 5*t, 0 = -4*q - 3*t - 14. Let i(j) = 17*j**3 + j**2 + j. Let a be i(-1). Let v = q - a. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173449 at most as big as 173447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + 167\/(14362\/(-3440)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:15 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + 2)**2 - (sqrt(17) + -2)*2.\nAnswer: -6*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0 - 62*h + 5\/6*h**3 - 1\/2*h**2. Let u(m) = -m + 1. Give -r(w) + u(w).\nAnswer: -6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2430 and -8\/135?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313229*m**3 - 18158496*m.\nAnswer: 1879374*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 11. Let q be k(4). Suppose v + q*v - 360 = 0. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/7, 0.00698.\nAnswer: 0.00698, 0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 132 = 12. What is the greatest common factor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(110)*1)\/sqrt(5))\/(sqrt(11) + (sqrt(11) - sqrt(44)*2) + 3*sqrt(176)).\nAnswer: -3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 175 = 5*t, 109 = 4*g + 3*t - 31. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5932814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.9. Let o(m) = m**3 - m**2 + 5*m - 17. Let i be o(2). What is the third biggest value in h, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545.9013t in milligrams?\nAnswer: 545901300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 44912306.77 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 4*s**2 - 4*s - 3*s**2 + (12347 - 12347 + 65*s)*(-s - 15 + 15).\nAnswer: -67*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -200 + 69. Let o = s - -131.3. Which is the biggest value? (a) o (b) -5.7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -481 - -483. Suppose 2*t = -5*z - h*t + 460, -2*t = 3*z - 274. What is the highest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 - 14*h + 26. Let z be q(4). List the prime factors of (28\/(-10))\/(-5*z\/(-18550)).\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 6*f**2 + 3*f - 2. Let i(v) = -v**2 + 5*v + 1. Let n be i(4). Suppose n*x = 2*h - 2, -2*h = 2*x - 6*x. What is the tens digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2878 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*x**2 + 1172*j*x - 1526*x**2 - 11*x wrt x.\nAnswer: 2*j - 3052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 - 3497128*q\/11 + 3497130\/11.\nAnswer: -2*(q - 1)*(q + 1748565)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bubtmmnbmnmmtmn. What is prob of sequence mt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76*o + 474 - 474)*(197 + 115*o**2 - 197) to the form a*o**2 + l*o + d*o**3 + i and give d.\nAnswer: -8740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 (base 11) in base 15?\nAnswer: -6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiehheeeeiueif. What is prob of picking 3 e and 1 i?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7048 - 1820081?\nAnswer: -1820072.2952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 87753\/8304 + -5 - (-1 - -1). Let p = 7\/1384 - s. Calculate the common denominator of p and 34\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 110, 133, 176, 245, 346?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-21) - (-11 + (-30)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 + 2 = -3*h, 0 = -5*h + 4*k + 22. Suppose 387 = 7*o + h*o. Let p = -32 + o. Calculate the highest common divisor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 23*u**2 - 2*u - 45. What is q(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 91, 152, 191, 208?\n\"Answer: -11*q**2 + 94*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562228062 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 10, -291460, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757032.6 nanograms to grams.\nAnswer: 0.0007570326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551999.\nAnswer: 2551999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 408\/140 + (-18)\/(-63). Find u such that -i*u + 4\/5*u**2 + 16\/5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + u + 14. Give j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -44, -46, -48?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 112, 0, -1, 1825?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 20 - 4. Sort -5, 3, d, -1 in increasing order.\nAnswer: -5, d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 7.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-9 - -23) - (13 + -3 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 1:07 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 6. Which is the nearest to s? (a) 2 (b) 5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 4, c: 2, a: 1, p: 1, q: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*j + 95*j + 454*j + 22000 = -189*j for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602 - 26 + 628 - 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20*12\/18?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202 - -8. Calculate the greatest common divisor of 560 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.16 - 64.56. What is the closest to -0.4 in -3, m, -24?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/8)\/((-48)\/(-4)*-1)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2756094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 12*t + 0*t**3 + t**3 - 7. Let n(u) = -5 + 2*u + 0 + u**3 + 3*u. Let d(h) = 7*n(h) - 5*x(h). Factor d(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4872 and 39855744?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431948?\nAnswer: 2, 11, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 27 = 24. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 73*m - 322. Let x(o) = -o**2 - 145*o + 586. Let z(d) = -9*c(d) - 5*x(d). Give z(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 70, 3, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (16 - 14) + 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 161, 241, 323, 407?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 886443225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 27. Suppose 8*m = 3*m + 3*b - 45, 4*m = -4*b - 4. Let n = 2 + m. Is n greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times -0.0243921?\nAnswer: 2.3172495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11453, -22902, -34301, -45626, -56853, -67958?\n\"Answer: 4*i**3 + i**2 - 11480*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + 2*j. Let b(y) = 2 + y**j + 2*y - 5 + 0*y - 1. What are the prime factors of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 185. Let p = w + 199. Calculate the highest common divisor of 90 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = r - i, 0 = 4122*i - 4120*i - 8 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {o: 2, r: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*m**3 - 46*g**2*m**2 + 139*g**2*m + m**3 wrt m.\nAnswer: 12*g**2*m - 92*g**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -13. Suppose -o*c = -3*b - 60, 3*c + 0*c - 5*b = 50. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*b + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 982*m**3 + 2*m**2 - 175*m.\nAnswer: 5892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -970357 minus 274191.55?\nAnswer: -1244548.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 18*b**4\/11 + 10337952*b**3\/11 + 1484354162010*b**2\/11 + 989564846700*b\/11 = 0.\nAnswer: -287165, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {w: 3, m: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145 + -342?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8024*z = -660103 - 54033 for z.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4234?\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.20169\nAnswer: -1.00845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17377 - 17117. Let z(q) = 3*q**2 + 1. Let k be z(-2). What is the highest common factor of k and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2248280*z**3 - 5*z**2 + 7*z - 1774 wrt z?\nAnswer: -13489680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*(-11)\/(-44))\/((3402\/12)\/63).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 1330 = 0. Suppose -891 = -5*p - r. Suppose 6*u - u = p. Solve 6*v + u = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 39 (b) 2.126 (c) 2 (d) -445 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 202*g**2 + 2*g - 176. List the prime factors of a(41).\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05134 - -5.05134. Put -1\/5, -1, f in increasing order.\nAnswer: -1, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 495220745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.705312 litres to millilitres.\nAnswer: 7705.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 4. Suppose -21*v + 24 = -33*v. Is 259\/m*(v + (2 - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7605\/312 + -21 - (-4)\/(-32).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**3 + n**3 - 2*n**5 + 3*n**2 + 5*n**3 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d**2 - 52*d + 862. What is a(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let n(u) = 5*u - 2. Determine -n(d) - 3*q(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 10 (b) 9 (c) 0.1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 - 5*k - 2. Let a be d(-2). Let p be (-1*3)\/(1 + 0). Sort p, 5, a in increasing order.\nAnswer: a, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 20 = 4*d, -5*x + d = -5. Let v = 0 - x. Suppose v = -l - g + 12, -3 = -3*g + 3. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3376 - 13688 = -9*u. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 815337751 to the nearest integer?\nAnswer: 28554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/7 (b) 4 (c) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) - 196\/(-20). Suppose -2*c - o + 0 = 0. Let q be -4 + 3 + c\/(-1). Solve -2 - 14 = -3*m - q*v, 5*v - 21 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -759, -1\/47, 651 in decreasing order.\nAnswer: 651, 3\/2, -1\/47, -759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -23. Suppose 414 = 3*g - 939. Let x = 461 - g. Calculate the greatest common factor of x and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 20 = -10. Is 11 a factor of (z + -2)\/((-4)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1152)\/(-80)*-1 - -16.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41204 = -114*o + 46904. Factor o*g + 1\/2*g**3 - 10*g**2 + 0.\nAnswer: g*(g - 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142721 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 15\/719?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -21157*k**3 + 353 + 2*k**2 + 21158*k**3 - 2*k + 2*k**2 in the form p + v*k**2 + h*k**3 + r*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2048) + -1 + sqrt(10)\/((sqrt(180)\/sqrt(4))\/sqrt(9)).\nAnswer: -1 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1953292 and 67\/429?\nAnswer: 76178388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 28, 872, -2 in descending order.\nAnswer: 872, 28, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 - 52895580*u + 466323730589400.\nAnswer: 3*(u - 17631860)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p + 96. Let j = p + 52. Let o = j - 18. Calculate the highest common divisor of 80 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 15*r**2 + 3 + 2*r**3 - 12*r**2 in the form l*r**3 + p*r + c*r**2 + w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96185 is divided by 19223.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544 (base 13) to base 8.\nAnswer: -1605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 4. Let f(x) = -x + 3. Let q(g) = -7*f(g) - 6*i(g). Let a(y) = -6*y + 3. Determine 4*a(d) - 5*q(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349 - 334. Solve r*l + 10 = 20*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnopbbqnpnoorro. Give prob of picking 2 p and 1 o.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*g - 44 = 0, -5*g + 6 = -s - 11. Suppose 2 = d + s. Let r be (-1)\/(d + 3)*0. Solve 4*j = -r*j + 2*b + 20, 2 = -b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038058?\nAnswer: 2, 11, 92639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58667.173 and 8.\nAnswer: -58659.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -9848?\nAnswer: 4924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -23. Calculate the remainder when h is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4341715717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165584, 165585, 165586, 165587, 165588, 165589?\nAnswer: 165590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:52 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -138*v**2 - 7*v + 10. Let r(s) = 135*s**2 + 6*s - 11. Let w(d) = -7*r(d) - 6*z(d). What is the derivative of w(o) wrt o?\nAnswer: -234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.03 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/27 + 1 + 61\/3. Let m(s) = s**3 - 21*s**2 - s + 28. What is the lowest common multiple of 8 and m(q)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9 + (-9)\/27.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-12)\/432*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50.8 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 + -23.9. Let k = -16.7 + m. Round k to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 46*m**3 - 8*m**2 + 6*m + 6. Let v be l(7). Let u = 26234 - v. What is u rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from nbkkknkkndknknl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74250357?\nAnswer: 3, 24750119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1687 is divided by 282?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 149500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -s, 2*s + 4*g + 6 = -g. Solve -18 - 7 = -5*f, s*q + f = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34938 = -2344*l + 56478 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/116859 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 6*j**3 + 10*j**3 - 13*j**3 - j**2 as u*j**3 + p*j + x + r*j**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19420 and 23564228?\nAnswer: 3884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95409137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37928312741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6365 (base 7) to base 9.\nAnswer: -3072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 29*n - 388 = -124. Calculate the remainder when 397 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59335?\nAnswer: 5, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boowbwowowbfbbbff. Give prob of sequence bof.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = -4*x + 7, -3 = -3*x + 3*v. Let q(n) = n**3 - 8*n**2 + 13*n - 8. Let u be q(6). Let t = u - x. Which is bigger: t or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 125 - -1597331?\nAnswer: 1597456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/9*1*(-2 - -1). What is the second biggest value in 3\/2, i, 7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*q + 284, -2*q + 5*q - 12 = 0. Suppose 5*m + 7 = w. Let t(j) = j**2 - 8*j - 31. Calculate the remainder when 50 is divided by t(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.52 times 1700?\nAnswer: -2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*s**2 + 2*s**4 - 4584*s - 85*s**2 + 48*s wrt s.\nAnswer: 24*s**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2 + v**2 + 28*v**2 - 3 + v + 6. Is 16 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9ba718 (base 13) to base 8\nAnswer: -16021406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21633162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76296 and 4692.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 4. Let m be u(0). Let l = 33 - -21. Let d = -30 + l. Solve 3*r - 7*r - 14 = o, -4*r + m*o - d = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57535 (base 9) to base 11\nAnswer: 2689a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19340666707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcbcbbbbwlc. Give prob of sequence gbw.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 39, 88, 169, 288, 451?\n\"Answer: s**3 + 7*s**2 - 5*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/72380 and 31\/79618?\nAnswer: 796180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033203 (base 7) in base 12?\nAnswer: 60aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/126 and -29\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -c + 8, -3 = -4*c + c + p. Let y = -361 - -367. Let b(i) = i**2 + 6*i + 3. Let s be b(-6). Sort 5, c, y, s.\nAnswer: c, s, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/9)\/((-140)\/168)*(-1)\/(-6)*-27.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = 3*p + 108. Suppose 500 = 51*j - p*j. Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/21*(-21)\/(-14) and -99\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 436, 174, -340, -1190, -2460, -4234?\nAnswer: -6596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.48 in -2, 0.1, 19\/21, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttdttxeetxtxd. What is prob of picking 1 d and 2 t?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1236 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g**2 - 4 - 8\/3*g**3 + 0*g + 0*g**4 + 0*g**5 - 2\/3*g**6. What is the third derivative of c(y) wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 15 = 3*x, -4*r - 45 = -x - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 + 3 + -2. Let l(i) = -i + r*i + i - i. Let z(q) be the second derivative of -2*q**3\/3 + 5*q. What is z(l(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3787 + 3788. Solve -3*b - 15 = -5*g + x, 4 = -2*g - 4*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -336734.\nAnswer: -336750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*v - 198*v + 3 - 178*v.\nAnswer: 65*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37132.936398 - 37133. What is h rounded to 4 dps?\nAnswer: -0.0636","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 76*c - 7 - 78*c + 8*c**3 + 17 - 34*c**2 to f*c + u*c**2 + w*c**3 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**7\/210 - 9*y**4\/8 + 5*y**2\/2 + 43. Let h(u) be the second derivative of d(u). Find the second derivative of h(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673835041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -41*a**3 - a**2 - a - 1. Let l be r(-1). Suppose l = -h + 6*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = 5*y - 9*v, 0 = 7*y - 1203*v + 1208*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 - 42*m**2 + 10*m - 8. Let r(a) = -14*a**3 - 125*a**2 + 29*a - 24. Let u(f) = 17*g(f) - 6*r(f). Is 81 a factor of u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561416531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76)\/sqrt(4) + -2).\nAnswer: -3*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42317\/192 + 11224021\/44736. Let f = z - -3\/466. What is the common denominator of f and -79\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t + q - 5 = 0, 0 = 3*t + 3*q + 15. Put 12, t, 1 in ascending order.\nAnswer: t, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + n + 1. Let y be j(-1). Let g = 7 + 7. Is 18 a factor of (y + -1)*203\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 9*d**2\/2 + 10*d + 8. Does 11 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2254\/7803 + 15\/578. Let i = 4\/27 - h. Let g = -2 - -1.9. What is the third smallest value in 4, i, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 - 299*m**2 + 1065*m - 872. Give d(96).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/(sqrt(12)*1)*-2)\/(sqrt(512) + sqrt(512) + sqrt(512) + sqrt(512)*1*3 + sqrt(512)))**2.\nAnswer: 1\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**19*g**(-39)*((g\/g**(3\/10))\/g)**(-41) assuming g is positive.\nAnswer: g**(-437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**4 + 426*a**3 - 2*a**2 + 284*a + 7 wrt a.\nAnswer: -96*a + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 14. Let m = 3424 + -3433. Calculate z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-24 - -22 - -14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a factor of 29998445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148224 divided by -96.\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 111011110 (base 2) to base 6\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1653, 1699, 1775, 1881?\nAnswer: 2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1, -192852 in decreasing order.\nAnswer: 1, -4\/7, -192852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 12)*(4 + 2 - 5)*(-2*z**3 - z**3 + z**3).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 9) to base 4.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in 3, -39, -2\/17, -21, -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.286 + 438.686. Let d = 433 - f. Put -0.5, -0.1, d, -2\/19 in descending order.\nAnswer: -0.1, -2\/19, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -5 - (4 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1293465 and 81\/2.\nAnswer: 2586930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -315*c**2 - 2 - c + 316*c**2 - 4*c**3 + 5*c**3. Let q(h) = -2*h**3 + 8*h**2 + 13*h + 6. Let t(p) = -3*j(p) - q(p). Calculate t(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32713 times -3?\nAnswer: -98139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27512 is divided by 27483.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.1. Let q = -3 + 3. Let b = q - -0.1. Is j >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**6 - 6717516*j**3 + 25783313*j**2 - 3*j wrt j.\nAnswer: -480*j**3 - 40305096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-5)\/(-30)*39 - 1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/5 - 375952*h**2\/5 - 8645838*h\/5 = 0. Calculate h.\nAnswer: -187953, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4544634 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 45. Let t be n(-16). Solve -2*j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2715642?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 2}. What is prob of sequence tt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -731466?\nAnswer: -97\/731466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 22 = -7. Let i(x) = -x**3 - 26*x**2 + x + 13. Let u be i(-26). Let y(o) = o**3 + 14*o**2 + 14*o + 13. Let q be y(u). Solve d + q = v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 408 = 68*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458\/8 + (3 - 13\/4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:50 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -304*z**2 - 3*z - 1. Let u be r(-1). Let c = u - -142. Round c to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4189442 + 4189435.000006. Let a = s - -7. Round a to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 901 = 2*d + 287. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1583*l. Let b(s) = -2*s. Give a(b(v)).\nAnswer: -3166*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4820531489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -21*v + 39\/80*v**5 + 1\/56*v**7 + 3\/20*v**6 + 1\/2*v**3 + 3\/4*v**4 + 0 + 0*v**2. Suppose q(n) = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 11*t**2 + 11*t + 21. Let c be q(10). Let a = c - -27. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w + 3*w)*(66*w - 100*w + 57*w).\nAnswer: 138*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 331 + -331. Suppose -r - 3*r + 1596 = 0. Suppose h*l - r = -7*l. What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 25110554?\nAnswer: 25110551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84520?\nAnswer: 2, 5, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (201*y - 5160 + 5160)*(-4*y**3 - 16*y**4 + 13*y**4 + 13*y**3).\nAnswer: -603*y**5 + 1809*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.17 - -0.17. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/3032759 - -1483019759\/921958736. Let i = -33888\/19 - -1785. Let t = i - h. Is t >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 5*y**9\/168 - 13*y**5\/60 + 20*y**2. What is the third derivative of w(j) wrt j?\nAnswer: 1800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -47. Suppose 0*g - 4*g + 2*m + 52 = 0, 5*m = -2*g + v. What is the greatest common factor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18340557385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 3, s: 13}. Give prob of picking 3 w and 1 s.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/11072 and -93\/5536?\nAnswer: 11072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72100 = -2256*t + 221768 - 29916 for t.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452194507 divided by 826681.\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/6 + 3*s**2. Let x(u) = 2*u**2. Give x(f(q)).\nAnswer: 200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 6. Suppose -f + 9 = 2*f. Let t = f - 1. Calculate the greatest common factor of c and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1724933 (base 11) to base 8.\nAnswer: -13143571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)*z*z)**(-40)\/(z\/z**(12\/11)*z**(-17\/4)))**(-2\/63) assuming z is positive.\nAnswer: z**(-191\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9057109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/60 - j**5\/3 + 23*j**4\/12 - 14*j**3\/3 + 2*j**2 + 4. Factor q(z).\nAnswer: 2*(z - 7)*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-12) - -1 - -1. Suppose 2*q - 4 = 6. Suppose -3*t - 4*z = -17, q*z = 6*z - 5. Is y != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Suppose -2 = -3*m + 2*m. Suppose 0 = 5*a + o - 16, m*a + h = -4*o + 14. 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 the units digit of 8920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 18 - (8\/(80\/(-10)) - 3). Solve 3*v - 6*c = -3*c - q, 2*c - 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 5*z**2 - 5*z + 4. Calculate s(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 6561*i - 3282*i + 1518 - 3283*i.\nAnswer: i**2 - 4*i + 1518","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71356, -71307, -71232, -71137, -71028, -70911, -70792?\n\"Answer: -c**3 + 19*c**2 - c - 71373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*n + 4)*(-4 + 4*n**2 - 2*n**2 - 7*n**2).\nAnswer: 10*n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 11 = -a, -5*a + 158 - 19 = 2*z. Solve 2*m + a = -3*m + 4*v, -2*m + 3*v = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 77*o**2 + 38*o - 54. Give s(-39).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - sqrt(324)*-2 - sqrt(81)*6)\/(sqrt(27)\/(sqrt(27)\/(2*sqrt(3)))))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126511 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*s - 494 = 0, 0 = -4*v + 3*s - 957 - 1064. Is -512 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1268 and 0.0648 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*z + 38 = 0, -5*a - 5*z - 24 = -8*z. Let y(d) = d - 7. Let u be y(9). Is (u + 0)\/(a\/(-39)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 5. Let a = s + -31. Suppose 31 = 2*x - k, -4*x + a = -5*k - 71. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 32*r - 27. Is 53 a factor of n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00226294 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 2. Let h = 9 + r. Suppose 1 = -h*k + 9. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 950.4198ug?\nAnswer: 0.0000000009504198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 7*n - 2. Let h be b(6). Let u be ((-1)\/(-1))\/(7\/28). Calculate the greatest common divisor of u and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2739117*b**3 - 33*b**2 - 172827539*b.\nAnswer: 16434702*b - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s. Let k be ((-2)\/3)\/((-8)\/24). Let u(n) = -4*n**k + n**2 + 4*n**2. Determine u(o(f)).\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 + 7 - 1276*t + 89*t + 123*t.\nAnswer: -1064*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5174355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3158 or -3163?\nAnswer: -3158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5905, 5989, 6073?\n\"Answer: 84*z + 5821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/2*((-12)\/(-2))\/(-969*(-162)\/918).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(6\/(-3))\/((-6)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (603357\/(-63))\/(-1) + 13*22\/(-3003).\nAnswer: 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1363 + -951. Calculate the highest common factor of 1751 and c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 224.88 and -18.4.\nAnswer: -4137.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8\/8*-33*1474\/201*4\/154\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*x - 1430 + 7574. Calculate the remainder when 395 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*w + 16*w + 11520 = 0. What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/5442460 and 69\/20?\nAnswer: 5442460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -91*(-46)\/(-8970)*18\/(-7)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -170, -387, -750, -1259, -1914?\n\"Answer: -73*v**2 + 2*v - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llaa when four letters picked without replacement from llaaaaaaaa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 19*q + 62. Let n(r) = 2*r**2 - 37*r + 119. Let c(s) = -13*b(s) + 6*n(s). Give c(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 4, 6\/23, -1 in descending order.\nAnswer: 5, 4, 6\/23, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -775.3571364 - -732.35713589. Let j = -254 + 297. Let o = j + k. Round o to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 103*a**6\/120 + a**5\/12 - 11*a**4\/24 + 2*a**3 + 50*a**2. Is o(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -37. Let m be k\/14 + 60\/35. Let f(d) = 7*d**3 + 2*d**2 - d. What are the prime factors of f(m)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5948 rounded to one dp?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13714, -54868, -123460, -219490?\n\"Answer: -13719*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*i - 5*z, 2*i + i - 5*z = -7. Let o be -1 + 5 + i + -1. Find the third derivative of 3*x**2 - 4*x + 0*x**2 + o*x - x**3 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45958 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -237 (b) 0.15526 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, k: 1}. What is prob of sequence ak?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 3*w - 2. Let z = -16 + 18. Calculate b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 26*f**3 + 7*f - 96. What is the first derivative of v(r) wrt r?\nAnswer: 156*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 300737*b.\nAnswer: 300737*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1292 divided by -34.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + -6 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*f + 275*f + 1274 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*g + 116 + 230 = -466 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*m = 4*m + 1, 3 = -k + m. Let v = -524 - -519. Let t be 4\/((0 + k)*v\/(-60)). What is the greatest common factor of t and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(231))\/sqrt(7) + sqrt(33) + (sqrt(33) - (sqrt(297) + (1*sqrt(297) - sqrt(297)))\/sqrt(9)))\/(6*(sqrt(3) + sqrt(9)\/sqrt(3))*-6*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 + -3 + 6)*13\/(-169)*-13.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 4*x. Let m be k(5). Let y = -4893\/2 + 2446. Which is the nearest to y? (a) -3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 4. Let c be f(-5). Let k = 13 - 2. Let w = c - k. Solve 2*n + w = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:31 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 1126*v + 266359. Calculate b(338).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1908264, -3816533, -5724802, -7633071, -9541340, -11449609?\n\"Answer: -1908269*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 divided by -12?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a - 4. Let m be b(-6). Let j be 2\/24*338\/43. Let d = j - -1\/86. Is d less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 divided by 4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -296a - 0?\nAnswer: -296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -2 + 6)*(-3)\/(-66)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2, -6.\nAnswer: -45, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3*t**2 - 1633054*m**3 + 26*t**2 - 260551*t wrt m?\nAnswer: -3*m**2*t**2 - 4899162*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3252 times 1\nAnswer: 3252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14227 * 5\nAnswer: 71135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x + 28 = 0. Let f = x - 10. Let y(k) = -14 + f*k - 3*k + 1. What is y(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - -789. Calculate the greatest common divisor of 28 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-27) + 384\/27. Let o = 28 - k. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 40*o**2 + 67*o + 1086. Let v be f(-41). Solve -v*z - 238 = -54*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1060906600*j**3 + 4638685*j**2 - 5*j wrt j.\nAnswer: -6365439600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -13. Let k = -8 + a. Calculate the lowest common multiple of 4 and k\/((1\/14)\/1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 11 + 1 + -1 - 0) + (-100 - -19)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1539? (a) -6\/11 (b) -19 (c) 1\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 451 + 1188 + 1396 + 937)*(-8 + 8*g**3 + 8).\nAnswer: 24288*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from cllaeeelaexee.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10001, -40012, -90031, -160058?\nAnswer: -250093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (sqrt(539)*-1)**2 + 5*(1 + sqrt(539) + sqrt(539)).\nAnswer: 70*sqrt(11) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-four fifths of a kilogram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, d: 9, o: 2, z: 1, a: 1}. What is prob of sequence ozwa?\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 18 + 19 + 39*z + 21*z**2 - 58*z. What are the prime factors of o(-21)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 108 = -2*r. Suppose 0 = -2*u - 67 + r. What is the units digit of 4\/10 + (-92)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36576 is divided by 885.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -0.06?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - 2*c**4 + c**3 + (3*c - 4*c + 0*c)*(-c**3 - 8*c**2 + 2*c**3 + 7*c**2).\nAnswer: -3*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2 + 20*s + 30. Suppose 0 = 2*m - 18907 + 18941. Let t(o) = -4*o**2 + 7*o + 10. Determine m*t(h) + 6*b(h).\nAnswer: 2*h**2 + h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 21*l**2 - 35*l + 27. List the prime factors of a(18).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 24*m**2 + 87*m - 6. Calculate u(14).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**2 - b + 2. Determine u(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 11*i + 5. Let m be u(-11). Suppose -2*n - 5*a = -n - 179, -m*n - a + 895 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g + 73. Determine z(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/4 - 275*g**4\/4 - 3029*g**3\/2 - 11566*g**2 - 37152*g - 42624 = 0.\nAnswer: -8, -6, -4, -3, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-3)\/((-9)\/3). Suppose -l + 0*l + 5*n = 10, t = n. Suppose m - 6*m - 10 = -2*g, 2*m - 5*g + 4 = 0. Sort m, 4, l in decreasing order.\nAnswer: 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(208) + sqrt(208) + 0)*-1 - 2*-6*((-1*sqrt(208) - sqrt(208)) + sqrt(208))*-2)**2 + 5.\nAnswer: -336*sqrt(13) + 91737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 812, 1632, 2452, 3272, 4092?\n\"Answer: 820*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 34. Suppose k = -15*d - 9 + 39. Suppose d*j + 65 = 319. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 38919972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (16 - 4) + -6 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9752360*5\nAnswer: 48761800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28971 take away -0.3?\nAnswer: -28970.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = 2*u - 10, -u = 3*i. Suppose -r + 4 = -5*r. Is i less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -7) + (11 - (-7 + -23)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -4*z + 180, 350703*z = 350708*z + 5*n + 195 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k + 78 + 200 + 352.\nAnswer: -10*k + 630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32049300 rounded to the nearest 100000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + -1 + 6 + 1 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c - 3*c - 4*c + c + 5 - 5 + (3 - 3 - 2)*(3*c + 0*c - 4*c) + c - 3*c + 4*c + 6*c + 0 + 0 - 2 + 2 - c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -3 - -2 - 1. Suppose -13 = z*j - 3, 2*n - j - 1 = 0. Is ((3 - -142) + n)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 1, 210, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let n be 4\/(-6) - (-2)\/o. Suppose 4*r = -3*l + 75, 0 = -2*r - n*r. Solve -4*m = m + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 6*u + 2. Let b be v(-5). Sort -2, -0.1, b in descending order.\nAnswer: -0.1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10316*d = -10332*d - 64 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-4)*((-39)\/(-9) - 3). Let w = -3 + 5. Let l(z) = 3*z + z + 2*z**w - 5*z. Let m(t) = -t**2. Determine g*m(p) - 2*l(p).\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8595\/(-30)*52\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 278050*(2*(-219)\/(-42) + 42\/(-98)). Round v to the nearest ten thousand.\nAnswer: 2780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 19, -0.24?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4400*o**2 + 2201*o**2 + 257*o**3 + o + 2202*o**2 to g*o**3 + c*o**2 + i + a*o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:06 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*3 + (0 - 1). Let y = o - 6. Let u(s) = 2*s**2 + 2*s - 8. Let z be u(-4). What is the highest common divisor of y and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4476628*f**2 - 51*f + 48917.\nAnswer: -8953256","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(-1\/6)*(j\/j**(4\/5))\/(j\/(j*j*j*j**8)))\/(j**0\/j*j*j*j\/(((j**2*j)\/j)\/j)*j\/(j\/j**1*j)*j\/j**2) assuming j is positive.\nAnswer: j**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*g + 109*g + 208 = 288*g. Let f = -9 + 7. Sort g, -15, -4, f.\nAnswer: -15, -4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 44, 36, 12, -34, -108, -216, -364?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429963972.\nAnswer: 2, 3, 263, 136237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3221 = 3*a - r, 2*r = 2*a - 2154. Calculate the highest common divisor of a and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740 = 5*c - 2*t + t, -304 = -2*c + 2*t. Calculate the remainder when c is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 2*f**3 - 5*f**3 - f**2 + 3*f**3 - 5*f**3. Let s be m(-1). What is the second derivative of q**2 - 3*q - s*q + 4*q + 2*q wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - u**2 + 9*u**3 - 2*u**3 - u**3 + 2*u**3 + 3*u**3 - 5*u**3 - u**3 + u**3 - 1 + 1 + (u - 5*u + 3*u)*(-u**2 - 2 + 2) + u**2 - u**3 - u**2.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.56 minus 155.32?\nAnswer: -178.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 2*d - 12. Let y(i) = -4*i**2 - 3*i + 18. Let g(o) = 7*q(o) + 5*y(o). Let k be g(0). What is the hundreds digit of (1\/(k\/9))\/((-3)\/(-204))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0238403245 to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9132413.11 rounded to the nearest one thousand?\nAnswer: 9132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -217*m - 1043. Let y be v(-5). Which is the nearest to 3? (a) -5 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p**2 + 7*p + 65. Let b(o) = 19*o**2 - 11*o - 97. Let i(n) = -5*b(n) - 8*q(n). What is i(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1001*v**2 - 4*v + 2. List the prime factors of k(1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -0.07, 0, -0.2 in descending order.\nAnswer: 0, -0.07, -0.2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 687\/5. Sort -4.6, 4, k.\nAnswer: -4.6, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(98) + 0).\nAnswer: -14*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1097326 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 3*a**2 - 3*a**2 + (1 - 2*a**2 - 1)*(1 + 2 - 2) + 0 + 0 - a**2 + 11*a**2 + 2*a**2 - 7*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48364579 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x - 2*x. Let l = 2 + -4. Let t = l + 1.5. Which is the nearest to 1? (a) x (b) -2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 44 = -71*p - 232 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -2)\/(-3) + -3. Let u = -2 - o. Is 2\/7 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 9 + 3)*((2*s**2 - 2*s**2 + 2*s**2)*(-2 - 5 + 5) + 35*s**2 + 3*s**2 + 36*s**2).\nAnswer: 70*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*v + 17*v - 22*v - 8911 + 2359 = 0 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 128*q - 671. Does 49 divide s(-47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3211 (base 6) to base 16\nAnswer: -2d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2))**(-31\/2)*(j**(-2))**(2\/41))**(-21) assuming j is positive.\nAnswer: j**(-26523\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 17*d + 9. Let i(u) = -4*u**2 + 18*u + 8. Let s(a) = 6*h(a) - 5*i(a). Let p be s(-7). Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-552)*1710\/(-57)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:11 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, 7, 150\/7 in decreasing order.\nAnswer: 150\/7, 7, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3, -2, -4.\nAnswer: -4, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g + 3*g)*(-6 - 1 + 5 + g) to w*g**2 + o + a*g and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 0 - 4*-1. Suppose o = -j, -4*m - 3*j = 2*j + 68. Is m less than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1629508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izz when three letters picked without replacement from {i: 7, z: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2767*x**2 + 1400*x**2 + 1368*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12409 = 29*a - 248272. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) + (-2)\/(-4). Suppose s = -0*g + g - 2. What is the third derivative of -2*c**6 + 4*c**6 + 3*c**g - c**2 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 196 = 2050. Suppose -395 - m = -11*z. What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619512419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -336 (base 11) to base 15\nAnswer: -1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420279?\nAnswer: 3, 23, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 234426.282 rounded to the nearest 1000?\nAnswer: 234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245592.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 605849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 994027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7173647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1906, -4556, -7958, -12118, -17042?\nAnswer: -22736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -148.04. Round f to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728093846.\nAnswer: 2, 1364046923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d*d**21)\/d))\/((d*d\/((d**7\/d)\/d))\/d)*d*d**(-1\/7)*d**(-1\/17))**(-2\/29) assuming d is positive.\nAnswer: d**(3856\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Suppose 2*h - 10 = -s*n + 10, 5*h = -4*n + 50. Let i = 12 - h. Solve 3*t - 11 = i*x, t - 4*t = 2*x - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*sqrt(80) + sqrt(80) - (6*(sqrt(80) + 1) + sqrt(80)).\nAnswer: -8*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q - 2*q - 2*q)*(2 - 9 - 2)*(-3*q + 2*q - 2*q) as h*q**2 + u + z*q and give h.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**6\/24 - 179*j**5\/12 + 40495*j**4\/24 - 39605*j**3\/6 - 2*j**2 - 1151. Factor w(f).\nAnswer: 5*(f - 89)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 1073*l - 39543. Give i(-32).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/24 + 8*q**2. Let d be b(-9). Let x(l) = -l**2 - 11*l - 6. What are the prime factors of x(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 146*l**3 + 768*l**2 - 936*l = 0. What is l?\nAnswer: -78, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwjw when four letters picked without replacement from ajjwjajahwwaaajahww?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18433*n**3 + 9946*n**3 + 18013*n**3.\nAnswer: 46392*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31\/575 + 1367\/4025. Sort -2, 222, i in descending order.\nAnswer: 222, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*3\/41. Let x = -20051.6 - -20051.2. Which is the nearest to -2? (a) 2 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19105?\nAnswer: 5, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*w + 482*w + 771*w - 44886 - 49634 = 0 for w.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r + 12. Let n be i(-6). Factor 25 - 4*h - 17 + 4*h**3 - n*h**2 - h**4 + 5*h**4.\nAnswer: 4*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934 + 3375 = 94*d + 831 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-2 + 2 - 1)*(-2*r + 0*r + r)*(2*r + 4*r - 4*r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/2)\/((-19)\/(-988)*26). Let u(g) = g**2 - 3*g + 26. Give u(i).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -298*j + 301*j + 4*z + z, 5*j - 3*z + 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2. Let z(t) = -3494453*t**2. Give c(z(r)).\nAnswer: -24422403538418*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057130807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 21 + 91)*(2*x**4 + 0*x**4 - 4*x**4).\nAnswer: -272*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -548576*c - 12. Let s be t(-7). Suppose 4*m + s = 4*i, -2*m + 3*m = -5. What is i rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 16. Let h be u(11). Suppose -155 = -h*o + 45. Calculate the remainder when o is divided by ((-18)\/(-10) - -1)*5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006562 to 6 decimal places.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**3 + 3*y**2 + 2*y - 5. Let b be m(3). Suppose 0 = -12*v + b + 5. Calculate the remainder when 25 - (0 + -2)*1 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - 3\/(-5). Let h = 5465 - 5464.8. What is the fourth smallest value in o, h, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216676151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by -6\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -67478.\nAnswer: 67478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3164 - 2?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 327*a**2 - 3*a**5 - 200*a**3 - 327*a**2 + (-a - a**4 + a)*(-8 + 8 + 6*a) + (-3*a**2 + 2*a**2 + 0*a**2)*(a**3 - a**3 - a**3) - a**5 + 5*a**5 - 3*a**5.\nAnswer: -7*a**5 - 200*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/7 (b) -5 (c) 0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004068236 to 6 dps.\nAnswer: -0.000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6275288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641362645.\nAnswer: 5, 7, 11, 1665877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2861, 5724, 8589, 11456, 14325, 17196?\nAnswer: 20069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 l when three letters picked without replacement from {p: 2, l: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -291*h - 2. Let j be s(-4). Let v be -1*(0 + (-11593)\/10). Let w = j - v. Calculate the common denominator of 31\/5 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*a + d + 40, -5*d = 20. Let f = a + 29. Suppose f*g = 2*g - 2*u + 712, 0 = 3*u + 9. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/20 - v**4\/24 - 2*v**3\/3 + 169*v**2 - 1. Determine n(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*d + 144 + 252 = -87*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 9*n**2 + 4*n - 2. Let b(t) = t**3 + 11*t**2 + 10*t + 9. Let i be b(-10). Is d(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.35000133 - -3.35. What is i rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 19. Let t be y(9). Let v be (-596)\/t - 16\/(-40). Suppose 0 = -q + 245 - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 minutes before 4:43 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 118045, 236293, 354935, 474169, 594193, 715205, 837403?\n\"Answer: 33*c**3 - c**2 + 118020*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 17*y + 99 + 161 = -7*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.16 - 1.2. Suppose -3 = -f - 5*z, -4*f - 6 = -3*f - 4*z. What is the nearest to f in 0, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/13*(-14)\/(168\/156). Let w(y) = -9*y**3 + 2*y**2 - 1. Let c be w(-1). Let o = -7 + c. Solve f*j = d - 7 + o, d + 5*j = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/9 and 125\/341004.\nAnswer: 1023012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 5:17 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyp when three letters picked without replacement from ynnkujp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3196317362 to the power of 1\/3, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*t + 372*t + 415 = -5381 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8785 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48444?\nAnswer: 2, 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 7*c**6\/720 + c**5\/60 - c**4\/3 + c. Let r(u) be the third derivative of d(u). What is the first derivative of r(z) wrt z?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 2089. Let o(j) = -14*j - 8326. Give -13*b(l) + 3*o(l).\nAnswer: -3*l + 2179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 928? (a) 2 (b) 5 (c) -1\/4 (d) -11 (e) 5\/3 (f) 76\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164bc4 (base 13) in base 4?\nAnswer: 2013013322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n - 4111. Let d = -8 - -13. Suppose 0 = d*m + 1011 - n. Round m to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-9)\/6))\/((-9)\/(180\/8)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 20 = 3*x, 2*j - 871 = -4*x - 821 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 smaller than 25947\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2 + 24*k**3 - 415 + 5*k**4 - 20*k + 403 - 6*k**5 + 2*k**5 - k**4.\nAnswer: -4*(k - 3)*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13805 at most -220875\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807*v**2 - 331*v**2 + 397*v**2 + 619*v**2 + 720*v**2 + 17*v**3.\nAnswer: 17*v**3 + 2212*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -6)*((-49)\/(-5) - 9). Suppose -4*n + 9*n - 555 = 0. Let w = n - i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbo when three letters picked without replacement from bbbkkkokkkkkwkbbbkk.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/15)\/((1160\/688)\/29)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5482867?\nAnswer: 13, 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 + 2*n - 4. Let d be o(6). Let f be (12 - 11)\/((-14)\/d). What is the closest to 1\/2 in 5, -2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 36*z + 3. Let f be n(6). Solve -3*l = f*v - 3 + 6, 3*l - 5*v = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((90\/(-10))\/18)\/(2\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 985 = 5*r, -9*r + 12*r - 551 = 5*n. Calculate the highest common divisor of 3008 and r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1. Let a(s) = -3*s + 39. Let r(j) = -a(j) + 2*u(j). Is 6 a factor of r(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (11 - 43) - -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206645.8 milliseconds in minutes?\nAnswer: 36.77743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f**(-9)\/f)*f*f**(-2)*f*f**(-5)\/f*f*f*f*f*f*f*f*(f*f*f**(-9)*f)\/f*f assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2171, -2172, -2173, -2174, -2175?\nAnswer: -2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 9. Let y be l(-6). Let w(c) = 2*c + y*c - 5 - 6*c. Give w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*8\/12. Suppose -5*q = -q. Suppose 3*g - 7*g - 12 = 0, -4*l - g - 51 = q. Let j(s) = 14*s - 12. Let y(z) = -z + 1. Calculate l*y(v) + u*j(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -343*p + 339*p + 41, 13 = 2*p + x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53.895 + -54. Let c = -0.032 - j. Let r be (4 - 105\/24)\/(-50 - 9131\/(-184)). Is r smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1827 + -29?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 9*a**2 + 3 + 2*a - a**2 - 2*a + (-2 + 4 - 1)*(-2*a**2 + 3*a**2 - 3*a**2).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -223*h**2*q**3 - 15*h**2 + 3*h*q**3 - 5*h wrt q.\nAnswer: -669*h**2*q**2 + 9*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3773613 (base 9) to base 7\nAnswer: -23322660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {a: 4, y: 2, r: 3, g: 1, x: 2, h: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*192\/60 - 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.42 - -0.12. Suppose 4*g = -5*n + 14, -2*n - 4*g + 6*g + 20 = 0. Let v = n + -8. What is the smallest value in -3\/7, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*k = 12, -3*k - 48 = 2*z + z. Let j = -12 - z. Calculate the smallest common multiple of j and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = -1. Suppose -4*c - c = -f - 62, g*c - 20 = 0. Is f\/((2*-2)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9*(-2)\/(-4). Let h(f) = f**3 - 2*f**2 - 4. Let p be h(3). What is the biggest value in n, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/490)\/(850\/680)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 41. Let b = -859663 + 859678.99954. Let m = b + k. Round m to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 8*c**2 - 9*c - 5. Let s be j(9). Suppose -5*w - 16 = -5*q - 2*w, -q + 2*w - 1 = 0. Sort 1, -1, q, s in increasing order.\nAnswer: s, -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 1. Let y(h) = -1. Let u(j) = v(j) + 2*y(j). Let z be u(4). Which is smaller: 2\/15 or z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) 8542 (c) 0.3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/4 - (-2)\/8. Let b = -341 + 354. Let y(q) = -7*q + 119. Let l be y(16). Solve -g*u + l = -b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*f**2*h - 590*c**3*h**3 - 22*c**3 + c*f**2*h**3 - 2*f**2*h + f**2 - 118*f*h**2 wrt h?\nAnswer: -3540*c**3 + 6*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 + 1094578*j**2 - 19701918*j + 88657902 = 0. Calculate j.\nAnswer: 9, 547271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344996573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -7 - (6\/(-9))\/((-134)\/(-1809))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6\/11)*f)\/f**(-1\/2)*(f*f\/(f\/(f\/(f*f*f*f**(-1\/3)*f)))*f)**(-7\/2)*(f**(4\/3)*f**(-3)*f*f)**(8\/5) assuming f is positive.\nAnswer: f**(1591\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 36*r**2 + 29)*(-237*r**3 + 80*r**3 + 33*r**3).\nAnswer: -4464*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 145*0.6552\nAnswer: 95.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2048)*-6 + sqrt(2048) + (((sqrt(2048) + 2 + sqrt(2048) + sqrt(2048))*-6)**2 - sqrt(2048)).\nAnswer: 13440*sqrt(2) + 663696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-3))\/(279\/(-31))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 896\/(-140) - 2\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179\/82 + -69\/41. Let 0 - a*s - 1\/8*s**2 = 0. Calculate s.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1942*o**2*q**3 + 300*o**2*q**2 + 10*o**2*q - 2*o**2 - 3*o*q**3 - 96*q**3 - 254*q**2 - 2*q wrt q.\nAnswer: 11652*o**2 - 18*o - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 + 62*r - 124. Let h be p(2). Put h, -3, -6 in descending order.\nAnswer: -3, -6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 7*x - 3. Let h be c(6). Solve 0 = 5*g + w, 5*g - h*w = 7*g - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 - (-51 - -116)) + (1 - 122).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 6. What is the third derivative of -4*x**r + 30 - x**2 - 30 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/6, 2\/27, 12, -958, -0.4 in ascending order.\nAnswer: -958, -0.4, 2\/27, 1\/6, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8240 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/45441 and -103\/648?\nAnswer: 363528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by 3\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 695*u**8\/336 - 509*u**4\/24 - 2633*u**2. What is the second derivative of f(y) wrt y?\nAnswer: 13900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**8\/112 - j**7\/105 + 4*j**5\/5 + 41*j**2. Find the third derivative of a(o) wrt o.\nAnswer: 180*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/189*((-3 + 1 - 336) + 1385\/277). Factor 1\/7*i**3 + 50653\/7 + x*i**2 + 4107\/7*i.\nAnswer: (i + 37)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-2)\/((-6)\/(-17))*-3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16563940 is divided by 358.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 9) to base 4\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-6)*(-9 - 372). Suppose -5*b + z - 111 = 0. List the prime factors of b.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/1485? (a) 6 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6820450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + z - 20, 16 = 4*p + 3*z - 12. Let c = 4 - 9. Sort c, 1, p.\nAnswer: c, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26840 and 9826856?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2)*2)\/1. Differentiate -3 + j**3 + j**c + 4 - 3*j**3 with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205334634.\nAnswer: 2, 3, 19, 47, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from {t: 6, x: 3, l: 6}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0811 in -0.5, -5, -1.44, 2\/7, -12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2) - 5\/((-15)\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -3*y, -2*y - 4 = -8. Let i(p) = 5*p**3 + 2*p**2 - 4*p - 1. Let t be i(j). Suppose 0*b - t = -7*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2668*m**3 - 120*m + 120*m - 561*m**3.\nAnswer: 2107*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*g - 879 + 183 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let h(k) = 3*k**2 + 6*k - 6. Let m(s) = h(s) - 6*p(s). Let g(y) be the first derivative of -y**2\/2 + 1. Determine g(m(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8096593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8447269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2) + (-6 - -9). Suppose 135 + 1 = m*k. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/9)\/b)\/b)\/b*b*(b*b**(1\/3))\/b*b)\/((b**(2\/3)*b)\/b*b)**(8\/19)*(((b*b**4)\/b*b)\/(b\/b**5*b))**44 assuming b is positive.\nAnswer: b**(59996\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2)*(-1)\/(-14))\/((-882)\/(-504)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-2*14\/8. Let y = 21 - 20. What is the closest to y in -2, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 58.24803km?\nAnswer: 58248030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i - 252. Let p be s(-17). Which is the biggest value? (a) -67 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.5 + 6.76. Let m = p + 1.7. Let a = m - 1.96. Do a and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 1 z when three letters picked without replacement from {z: 3, b: 2, a: 1, d: 3, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 19. Let g be q(7). Let z(d) = d**3 - d**2 + d. What is z(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13529 * -0.2\nAnswer: 2705.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r + 7. Is w(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + 2852160?\nAnswer: 2852131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 + 11 = 0. Suppose -5*f = -s*l - 94, -3*f - 5*l + 95 = f. What is the units digit of (-4)\/(-5) + 4\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 322*g**2 - 30*g**2 + 14*g**2 + (-3 + 2 - 6)*(2*g**2 + g - g).\nAnswer: 292*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 3*v. Let l(i) = -20*i**2. Give l(b(d)).\nAnswer: -80*d**4 - 240*d**3 - 180*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**3 - 18*a**3 + 1540*a - 14*a**3 - 1540*a + 55*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 10*z**2 + 21*z + 20. Let k be l(6). Let n(q) be the first derivative of -31 + 1\/2*q**k + 0*q. Let i(o) = 9*o. What is n(i(f))?\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170573664 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**4 + 0*c**2)*(-3 + 2 + 2) - 68*c**4 + 51*c**4 + 80*c**4.\nAnswer: 60*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4*q + 16 - 56 = 0, -5*b - 3*q - 34 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*d**3 + 25*d**2 - 26*d**2 - 2 in the form y*d + l*d**2 + q + s*d**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:58 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-15) - 6*(-1)\/(-4). Let t be 2\/(-4) + (-739)\/(-1155). Let g = t + -1\/154. Which is the closest to -2\/7? (a) 2\/7 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(5) + -1.\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g - 312 = -41*g. Let s be 13689\/g + (-1)\/(-8). Let n(o) = -o**3 + o**2 + o + 22. Let t be n(0). Calculate the highest common factor of t and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.9. Suppose 3*o - 3*o = -6*o. Let u be (-2 - o\/(-5)) + -3. Which is the second smallest value? (a) u (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 6*b**2 - 2. Let f be y(6). Let m(i) = 8*i**3 + 4*i**2 + 3*i. Let o be m(f). What is o rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 5. Let b = 140 + -160. Let r be b\/7 - (-3)\/(-21). Let w(m) = 6*m + 9. Let n(d) = r*w(d) - 7*f(d). What is n(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arnd when four letters picked without replacement from {d: 4, n: 2, t: 6, r: 2, a: 4, e: 1}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -448*u**4 - 2234*u**2 wrt u?\nAnswer: -10752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -522207912 and -2.352.\nAnswer: -522207914.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 35616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14*f - 4*f**3 - 9*f + 1 - f - 5*f**2 + 21*f. Let n be d(-1). Let 2\/9*j + 0 + 8\/9*j**5 - 10\/9*j**n - 2\/3*j**4 + 2\/3*j**2 = 0. Calculate j.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602350 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3578 - -2.0578. Which is the nearest to -0.1? (a) 55 (b) x (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**6\/360 - f**5\/60 - f**4\/24 - f**3 - 5. Let k(q) be the third derivative of n(q). Factor k(a).\nAnswer: -(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 597\/(-936) - (-2)\/3. Which is the nearest to j? (a) 3 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 461528*x - 2*x**3 + 0*x**3 - 461528*x.\nAnswer: -2*x**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*b = -2, 0 = 5*f + b - 8. What is the derivative of -81 - 46 + 22*a**f - 47 wrt a?\nAnswer: 44*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55836 divided by 1692\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*((-80)\/10)\/(-8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (-5 + sqrt(153)*-2)**2 + 3).\nAnswer: -2544 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y + 5. Let k be l(0). Let p(x) be the third derivative of -x**4\/24 + x**3\/3 - 16*x**2. What is p(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*j + 105*j - 82*j)*(j + 3*j - 6*j) + 2*j**2 - 2 + 0*j**2 - 3*j**2.\nAnswer: 111*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l + 2*s, -4*s + 0 = 3*l - 1. Solve v + 7 = -z, -4*v = -z - l + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let y(p) = -13*p - 12. Let l(q) = -120*q - 110. Let k(u) = -6*l(u) + 55*y(u). Give -14*f(d) + 2*k(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.3 (c) 4 (d) -26\/7 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6613174.\nAnswer: 2, 3306587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -r. Let g(x) = -r - x - 1 - x. Let d(s) = -s - 5. Let t be d(-7). Let a(y) = y + 1. What is t*g(b) + 5*a(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.3 (c) -175\/2 (d) -14404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 12*d**2 + 2083*d + 55. Give i(-40).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 43*n + 256. Is v(47) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(3 - n + n + 5*n) as v + d*n and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 41*z**2 - 7*z + 1. Let r = -1206 + 1212. Is h(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 69556*i - 1875096.\nAnswer: -4*(i + 27)*(i + 17362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2 - 6. Suppose 0*d = d + z. Does 3 divide (-1)\/(2 - (-9)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 3*y - 5. Let o(k) = -6*k**2 - 10*k + 14. Calculate 3*o(z) + 8*s(z).\nAnswer: -2*z**2 - 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5252 divided by 6.\nAnswer: 2626\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 + 19 = -3*t, -q + 2 = -5*t. Let b = q + 10. Solve -2*w - 25 = 3*z, z + b*z + 40 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017.\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*2\/(-12)*(-18)\/3. Suppose -4*a - o*f + 4*f = 27119996, 2*f = -8. Round a to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = -2*v, -2*x + 2*v - 4*v = 6. Which is the nearest to 6\/11? (a) 0 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsoowosboqwzbwqz. What is prob of picking 3 q and 1 w?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267 + 266.61. What is p rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, 1\/74, -0.5 in ascending order.\nAnswer: -5, -0.5, 1\/74, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3102*h**3*m**2 + 597*h**3*m*p + 1744*h**3*m - 2*h**3 - 291338*h*m**2*p + 16 wrt p?\nAnswer: 597*h**3*m - 291338*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 27*u = -35 - 61 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(132) + sqrt(132)*3 + sqrt(132)) - sqrt(132))\/sqrt(12) + -5)**2.\nAnswer: 310*sqrt(11) + 10596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let q(d) = -698*d - 994*d - 1185*d. Give a(q(y)).\nAnswer: 5754*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3408, 155 in ascending order.\nAnswer: -22, 155, 3408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -513, -478, -443, -408, -373?\n\"Answer: 35*h - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/40 and (-3)\/2 - ((-23484)\/(-4428) - 7).\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -261300 or -261308?\nAnswer: -261300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359253 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: What is the next term in -488, -979, -1470, -1961, -2452?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -25*b + 3488. Let w be m(139). Let l = 325 + 91. Suppose 5*p = p + l. What is the greatest common factor of p and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298.4 * 15256.\nAnswer: 4552390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8397, 1409 in descending order.\nAnswer: 8397, 1409, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19990000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 41*c - 208. Give p(-46).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 20 = 0. Suppose -3*p - p = -4*n + 48, -n = p - 2. Suppose -z - 120 = -n*z. Is h greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 4*a**2 + 6*a)*(3*a**2 - a**2 + 4*a**2) + (4*a**3 - 2*a**3 + 0*a**3)*(3*a - 7*a - 3*a) + 2*a**4 - a**4 + 0*a**4.\nAnswer: -37*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1343153656 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.185 - 5.185. What is the closest to l in -3\/8, 1\/4, -0.2, -0.0055?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 3*d - 2. Let y be g(-3). Let q be (6\/14)\/(2\/y). Let m(u) = 3*u + 38. Let b be m(-13). Are q and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5 - k**4 - 2*k**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 23*z - 6. Let s(t) = 28 - 29 + t + 22*t - 6. Determine -7*g(a) + 6*s(a).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29465, 29284, 28799, 27860, 26317?\n\"Answer: -25*v**3 - 2*v**2 + 29492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.15 and -0.046.\nAnswer: -0.0529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 18, 4327, -5 in ascending order.\nAnswer: -5, -4, -2, 18, 4327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -67, 7, 2, -4, -23, -558 in increasing order.\nAnswer: -558, -67, -23, -4, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 11*w - 30. Let v be a(7). Does v = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + h - 6 + 3)*(-1 + 4 - 1)*(-4 + 0 + 2)*(96*h - 107*h + 79*h) in the form o + r*h + p*h**2 and give p.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 18. Suppose 0 = -r - m*r + 5. Solve -z + 0 = r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 927 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 23\/(-7) - 65\/(-7). Suppose 0 = -v*c + 1264 - 274. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5473948266 and 2392.\nAnswer: 2391.4526051734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 15 - (30 - 42). What is the nearest to 1\/3 in -5\/9, k, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x**2 + 132*x + 4. What is u(-6)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1)*(f\/f**4*f)\/f)\/(f\/f**8*f*f*f\/f**(2\/5)) assuming f is positive.\nAnswer: f**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82963 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 253 * -18.5.\nAnswer: -4680.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(40872\/156))\/(-1*(-1)\/2)*1.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108) - sqrt(108))\/sqrt(3)*-2)\/(sqrt(1728)*-1 - -2*(sqrt(12)*-2 + sqrt(12))).\nAnswer: -3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-304)\/24*(-23 + -1). Suppose 0 = -5*k + 3*m + 211, 5*k - 2*m - d = -95. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {r: 1, i: 1, e: 3, v: 2, w: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g + 8. Let b = g + 5. Suppose 0 = -b*y + 2*q + 12, 4*y + 8*q - 3*q = 16. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o + 5*o**2 - 2*o**3 + o**3 - 4 - o. Let z be a(6). Suppose 138*l = 135*l - 15. Sort z, l, 2.\nAnswer: l, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:14 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34687453 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5881 + -5251. What is the highest common factor of q and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146 + -93 + -14 + 51.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3168.39um to meters.\nAnswer: 0.00316839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5)\/q**6)**27*((((q\/((q*q*q\/(q*q*q**3)*q)\/q))\/q)\/q)**16)**(-1\/10) assuming q is positive.\nAnswer: q**(-737\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 11. Let f(y) = y + 4. Give -11*f(g) + 4*l(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let q = p + 5. Solve -5*b = -q*z, -3*b + z + 4 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*z - z = 186*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 9, -2, -5, -4 in increasing order.\nAnswer: -11, -5, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*f - 14, -2 = 5*a + 4*f + 19. Does 7 divide ((-581)\/(-14))\/(a\/(-2 - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6630*g. Let t(l) = l. Determine t(k(b)).\nAnswer: 6630*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30067418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + u + 6 = 0, 3*g + 2*u - 2 = 0. Let k be (1 - 1)*(7 - 6). Sort g, -2, k.\nAnswer: -2, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974153751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**2\/5 - 2515711*v\/5 - 718774\/5.\nAnswer: -(v + 359387)*(7*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (-4 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7320.558 hours to milliseconds.\nAnswer: 26354008800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 8. Suppose -f - 24 = -4*p, -p = p + 4*f + 6. Let c = p - -1. Suppose -w + 0*w = -c. What is g(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 209*x**2 + 416*x - 662. Calculate n(207).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1885*d**2 + 8*d - 5. Let n be ((-22)\/6)\/(12\/(-72)). Let t = n - 37. Let o be w(t). What is o rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123\/2 - 60. Let k = -4.056 - -0.056. Put 7, y, -5, k in descending order.\nAnswer: 7, y, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3\/53, -0.4, -1, -9090 in descending order.\nAnswer: 7, -3\/53, -0.4, -1, -9090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mub when three letters picked without replacement from {r: 2, u: 1, z: 3, m: 3, b: 5, k: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370192 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -y. Suppose -y*t = -5*a + 12, -a - 4*t + 3 = -4. Suppose a*w + s = 298, -394 = -4*w - 6*s + 3*s. What is the greatest common factor of 40 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 75.193.\nAnswer: 74.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-2))\/(10\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -69. Suppose 5*u - 2*u = v - 55, v + 71 = -4*u. Let q = u + l. What is the third biggest value in q, 3, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2259 = -41*h - 1644 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 4*a + 0*a)*(-1 - 3 - 1)*(a**3 - 6*a**3 - 6*a**3) in the form k*a**3 + n + x*a**4 + d*a**2 + i*a and give x.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-9\/7)\/s))\/s)\/s*s\/s**(-4) assuming s is positive.\nAnswer: s**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaixxnnnaaaaix. What is prob of picking 1 a and 1 i?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 + 6. Let d be -1 + (-1 - -1) - -1. Let c be w(d). Let o be (4\/c)\/((-2)\/(-9)). Solve 3*s - o*z + 3 = 0, 0 = 2*s - 0*s + 4*z + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210584 + 210580. Suppose -2*r - r = -3. What is the second biggest value in 38, r, z, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7378)\/28*10\/(-85)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-8)\/r)\/(r**(-28)*r*r*r)*(r*r**5*r)\/(((r*r*r\/r**(1\/4))\/r)\/r) assuming r is positive.\nAnswer: r**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 368 or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 108*i + 2122120 = 0. What is i?\nAnswer: -715, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from nnnnnnnrrnnenngenner.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l + 1. Let w(y) = 83*y - 34*y - 46*y. Determine 4*v(c) + 9*w(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/36*63\/35. Let r = -2.7 + 3. Sort r, 0.5, -6, c.\nAnswer: -6, r, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2402562, 2402569, 2402578, 2402589, 2402602?\n\"Answer: q**2 + 4*q + 2402557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.784 - -2.484. Put -0.08, g, 3\/20 in ascending order.\nAnswer: g, -0.08, 3\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {a: 2, n: 5, v: 1, r: 3, b: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a - 11. Calculate the remainder when o(-6) is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2673) - sqrt(2673)*2 - sqrt(33) - sqrt(33)) + -3*sqrt(2112) + sqrt(2112))\/(sqrt(162)\/((sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(3))).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/24*87*56\/91756.\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1395 - 1400. Let v(m) = -39*m**3 - 7*m**2 + 7*m + 7. Let d(k) = 26*k**3 + 5*k**2 - 5*k - 5. Calculate l*v(r) - 7*d(r).\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44919583421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:57 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2149 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Suppose 5*k + 23 = -5*q - 27, -3*k + p = -4*q. Let v(r) = -r - 7. What is v(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 29*y**2 - y + 32. Let c be a(29). Solve 0 = -c*x, 2 + 3 = -q - x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 113?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c3 - 9b637c?\nAnswer: -9b6299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-552)\/(-782))\/((-264)\/204))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16854 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 3748569 and 3748569 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -896 divided by 1?\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/5076 and 17\/270?\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(4\/11)))\/t)**(-1\/8) assuming t is positive.\nAnswer: t**(15\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/3 - 6254*n**2\/3 - 8344*n = 0.\nAnswer: -4, 0, 6258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2. Let i(w) = 3*w**2 + 8 - 5*w - 2 - 8 - 3. Let y(j) = 2*j**2 - 1 - 1 - 2*j + 0. Let b(z) = 2*i(z) - 5*y(z). Give m(b(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(1300)*-1 + sqrt(1300))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 6*q + 1. Let i be n(5). Let r be (4\/3)\/(6\/(-9)). Sort -1, i, r.\nAnswer: i, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 4*s - 4*s + (-1 + 0 - 5)*(0*s - 7*s + 3*s)*(s**2 + 0*s**2 - 3*s**2) to the form q*s**2 + u*s + m + n*s**3 and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -13 - 7 + 6 + 3*g + 3*g. Let m be l(3). Which is the third biggest value? (a) 2\/15 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23 and 140140680.\nAnswer: 140140703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9454977 to the nearest integer?\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.2. Let p = 40 - 39.9. Let i = -248\/3 + 82. Which is the biggest value? (a) m (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 7*j + 276 = 24*v - 2*j + 4*j, -35*v - 57 = -39*v - 3*j for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4220 divided by -5\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -1, 15, -2\/3, 4\/9, -0.0336?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*t**2*y**3 - 2*t**2*y - 174*y wrt y.\nAnswer: 1338*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4199 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8342 divided by -49.\nAnswer: -8342\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Suppose -2*c - 3 = -3*w - 5, 2*w - 12 = m*c. Is 1*1\/w*-316 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000115447 rounded to seven decimal places?\nAnswer: -0.0001154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1570*l**3 - 1008*l**3 + 2022*l**3.\nAnswer: 2584*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*w - 6*w - 7 - 5 to q*w + a and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + -5*(-6*(-4 + -1 + sqrt(1573) + 1))**2 + -3.\nAnswer: -286025 + 15840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 0, 3*n + 2765 = u - 2*n. Suppose 3*b + 636 = u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, j: 3, n: 2, h: 1, m: 2}. Give prob of picking 1 j, 2 m, and 1 n.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/198 and -13\/65032.\nAnswer: 585288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33200\/3220)\/20 + 3\/(-7).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 937461 and 10752.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.132 + -6.132. Let l = -0.0036 + -0.4964. Which is the fourth biggest value? (a) i (b) -0.3 (c) l (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2 + 57*o**3 - 4 + 95*o**3 - 181*o.\nAnswer: 152*o**3 - 181*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6685 divided by -6\nAnswer: 6685\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98017 - -97975.811. What is p rounded to 0 decimal places?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101100101101000010101 (base 2) to base 5.\nAnswer: -3441200214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 37, -119, -411, -857?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -1\/6*r**4 + 0*r**3 + 0 + 35*r + 0*r**2. Let h(t) = 69*t**2. What is l(h(j))?\nAnswer: -9522*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.3 (b) 2\/3 (c) -4\/11 (d) 0.4 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 5, g: 1, v: 3, j: 5}. Give prob of picking 1 i and 2 j.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3311800.\nAnswer: 2, 5, 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 20*k + 7. Let s be u(-20). Let r be (14\/s)\/(6\/(-69)). Let y = 20 + r. Sort 0, -4, y in descending order.\nAnswer: 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -12. Calculate the lowest common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6 + 5*t - 19*t - t**2 - 4. Let f(o) = -3*o - 1. Let l be f(4). List the prime factors of i(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 90 = -102. Suppose -g*o + 18 = 3*x, 0 = -5*x + o + 1 + 11. Suppose -x*r + 197 = 2*z, 2*r + 251 = 2*z + 39. List the prime factors of z.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-42)*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 - 1988680*x + 11931936 = 0 for x.\nAnswer: 6, 497164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (4 + sqrt(1300)))**2 - sqrt(13)) + 4 - sqrt(39)\/((sqrt(243) - ((sqrt(243) - (sqrt(243)*-4 - sqrt(243))) + sqrt(243))) + sqrt(243)).\nAnswer: -44*sqrt(13)\/45 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*s + 32 = 4*d, -d + 2*s = -16. Suppose -3*g + d*g = 275. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**5\/60 - 13*m**4\/24 - 23*m**3\/2 - 7*m**2\/2 + 9*m. Let n(j) be the first derivative of l(j). Differentiate n(b) wrt b.\nAnswer: -2*b - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2*g - 3. Let j(b) = b**2 - 2*b - 3. Let m(r) = 3*j(r) - 2*w(r). Let x be m(-1). Suppose x = -13*t + 9*t + 272. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-290)\/(-464)*(-12)\/(-15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 839556344 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*s + 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/4)*(b*b**(-8))\/b*b assuming b is positive.\nAnswer: b**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/11, 1.7, 1.\nAnswer: 5\/11, 1, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -729 (base 15) to base 9.\nAnswer: -2183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 584596521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3323904 and 1465028?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 3 - -10)*(-2)\/(-3). Suppose k*l - 12187 = -3*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 1, z: 2}. Give prob of picking 1 y and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 - -24*8\/(-42)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12815616 - 0.070732\nAnswer: -12815616.070732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by -10\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8720*y**2 - 111694*y - 102. Let u(f) = 793*f**2 + 10154*f + 9. Let p(z) = -3*h(z) - 34*u(z). Find the second derivative of p(x) wrt x.\nAnswer: -1604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpzzp. What is prob of picking 1 z, 1 p, and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 = -r, -2*o = 4*r - 2 - 2. Let k be (-4)\/14 + 18\/14. Suppose 2*c + 19 = i, k = 3*c + 16. Solve f + 2*f + i = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/13, -2\/13, -80, -0.03 in increasing order.\nAnswer: -80, -2\/13, -0.03, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 86 and -0.457.\nAnswer: 85.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4300 + -4248. What is the highest common divisor of 4602 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 - 87. What is the units digit of d\/4 + (2 - 3\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10059, 20115, 30169, 40221, 50271, 60319?\nAnswer: 70365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - (26 - (-8 + 22))) + -5 + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(1643\/5088*36).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 471320212392 and -0.0891.\nAnswer: 471320212391.9109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/9*(84\/(-8) - -5 - -10). Factor -1\/4*n**2 - 1\/8*n**5 - j*n**4 - 5\/8*n**3 + 0*n + 0.\nAnswer: -n**2*(n + 1)**2*(n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*i + 8. Suppose p - i = -p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3940 - 1155. Let v = t - 1113. List the prime factors of v.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(77) - -6*((sqrt(77)*-1 - sqrt(77)) + sqrt(77)) - (sqrt(77)*-1 - sqrt(77))*-4)\/((-2*sqrt(220))\/sqrt(5)))**2.\nAnswer: -65*sqrt(7)\/2 + 1583\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6)*(-44)\/3. Let o = i + -11. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -956. Sort -5, l, -1 in descending order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 190*r - 1228. Let s be y(-7). Determine m so that 6 + 2\/3*m**2 - s*m = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 23*f**5\/30 - 11*f**3\/2 - 48*f**2. What is the derivative of z(u) wrt u?\nAnswer: 92*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372 is divided by 118?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/2 - -65\/6. What is the closest to a in -3, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a. Let p(w) = -2*w + 92. Let l be p(45). Let g(h) = -5*h**2 + h**2 + 0*h**2 + 6*h**l. Give v(g(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 0. Let w = 8 - 5. Which is the nearest to h? (a) -0.5 (b) w (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let d(z) = 5*z**2 - 539 + 540 - 3*z**2. Give d(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67117104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 90217. Let m(f) = 308*f. Give m(w(c)).\nAnswer: -924*c + 27786836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**3\/3 + 6*z**2 + 26*z + 9. Does 8 divide s(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624283339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23120 + -20?\nAnswer: 23100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46516, -93029, -139542, -186055, -232568, -279081?\nAnswer: -325594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 260*c**3\/9 - 15425282*c**2\/3 + 228787871616*c - 5279717376 = 0.\nAnswer: 3\/130, 88992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 - 14*h**4 + 5*h**2 - 8?\nAnswer: -60*h**2 - 336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/9*6*(-551398)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185, 2813, 7315, 13691?\n\"Answer: 937*i**2 - 183*i - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -608319 != -608319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1234)\/4740)\/1 + -72*109\/(-29430)?\nAnswer: 1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 6*u + 22, 5*u = 45*l - 41*l + 17 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 27 + 4*h + 54 - 25 + (-3*h + 0*h + 4*h)*(h - 2*h + 2*h) - 2*h - 2*h**2 + 2*h - h**2 + 4*h**2 - 5*h**2.\nAnswer: -2*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*a - 179215 = 2943*a for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8 = -5*h, r + 116306*h - 116310*h = 5 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/10*195\/(-78). What is the third derivative of -d**5 + 37*d**2 - 7*d**6 + k*d**5 - 169*d**2 wrt d?\nAnswer: -840*d**3 + 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31885321 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7 = 4*x, 0*w + 19 = -x + 5*w. Let u = x - -21. Calculate the remainder when 116 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 282\/6*(0 + 1). Suppose 129 + x = 4*f. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 27 = 4*k, 2*k - 4*c - 27 = -3*k. Suppose -k*x + 3 = -6. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 z when three letters picked without replacement from {z: 7, w: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-8)\/q))\/q*q)\/q*q*q*q**(-14)*q*q**(-7\/3)\/q**(3\/8) assuming q is positive.\nAnswer: q**(-137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2620 + 117?\nAnswer: -2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (8 + -4) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/105 - l**4\/3 - 14*l**3\/3 - 54*l**2. Factor g(h).\nAnswer: -4*(h + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14526979 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*q + 2. What is the lowest common multiple of 7 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -2*h - 68. Solve 4 = -h*z + 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1894718 and 9\/140.\nAnswer: 18947180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1121*b - 13336 = 647*b + 36168 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 22 = -176*i + 179*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from xxjjxxjxjjjxjxjxjxj?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1744178.53?\nAnswer: 1744178.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1214 (base 5) to base 10\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-21 - -1 - 0)) + 21 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let d = 791\/4005 - -2\/801. What is the biggest value in d, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -108*s**3 - 651*s**2 + 9*s + 157. Determine b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 3*a**2 + 3*a - 1. Suppose 6*m - m - 15 = 0. Let s(y) = -8 - y**2 - 3*y**2 + 5 + 1 - y**m + 4*y. Determine 3*s(v) - 4*w(v).\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 291, -887, 17 in descending order.\nAnswer: 291, 17, -1, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -11*j**3\/6 + 9*j**2\/2 - 18*j. Let z be g(-4). Let c = z - 39. Which is bigger: c or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 86*i**3 - 2*i**2 - 2*i - 1. Calculate w(-1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*d + 95*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x - 4*x)*(-2*x**4 + 5*x**4 - x**4) + ((x**4 + 0*x + 0*x)*(-85 + 6 - 49) + 8*x**4 + 0*x**4 - 4*x**4)*(4*x + 0*x - 5*x).\nAnswer: 128*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:29 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 29*m - 168.\nAnswer: -(m - 21)*(m - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 16. Let c = -624\/7 - x. Sort -0.3, 5, c in decreasing order.\nAnswer: 5, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 c when four letters picked without replacement from enccencncecn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g**0*g))\/g))**(1\/4)\/(g\/(g**(1\/4)*g)*g\/g**(-1\/3)) assuming g is positive.\nAnswer: g**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*g - 5 = 0, -2*d + 3*g + 9 = -4. Let j(s) = -8 + 0*s**2 - 6*s + s - 4*s - s**d. Give j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1380 + -1380. Let r(z) be the third derivative of -1\/336*z**8 + 0*z**5 + 5*z**2 + 0 + 0*z**3 + g*z + 0*z**4 + 1\/120*z**6 + 0*z**7. Factor r(y).\nAnswer: -y**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30117.\nAnswer: 3, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0433 and -30846850.\nAnswer: -30846849.9567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(4 + (-10)\/4). Solve -3*j + 0*j = 3*q - u, 4*j - 8 = -q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*(3 + -1). Let s(b) = 0*b**2 - 2*b**2 + 3*b + 0*b**2 + 2. Give s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 6030000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - (-122)\/6. Calculate the remainder when 52 is divided by f + (4 - (-2 + 2)) + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + -0.18. Let q = m - -0.6. Which is the second smallest value? (a) 1\/2 (b) 4\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i**2 - 1 + 1)*(0 + 2*i + 0) + 0*i**3 + 4*i**3 - 2*i**3)*(0*i**2 - i**2 + 0*i**2 + 0 + 0 - i**2 + (i - i - 2*i)*(-2 + 2 + i) + 2*i - 2*i - i**2).\nAnswer: -30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 4) in base 15?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5341\/18639*38)\/(6\/(-27))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-2)\/(-12)*-45. Let k be (16\/(-40))\/(2\/h). Solve -2*x = k - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1285 - 4329 - 433)*(y**4 - 4*y**4 + 4*y**4).\nAnswer: -6047*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*c + 9*c - 10*z + 6*z + 16, -4*c + z - 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1562968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 55 - (1 - (-6 + 9 + 5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from gxxuegxxdutxxdxxtuxx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d**2)*(-5*d + 2*d + 2*d)*(-7 + 1 + 2 - 2 + 3 + 1 + 3 - 1 + 0 + 3 + 0 - 4 + (2 + 3 - 6)*(3 - 2 - 3) - 5 + 1 + 3 + 6 - 12 + 17)*(2*d + 4*d + d).\nAnswer: 77*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 32. Suppose 237 = h*f + 3*f + 4*j, 4*j = 12. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*v + 21, -3*h = v + 2*v - 27. Is ((-1236)\/(-48))\/(2\/v) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.49988 - 1.5. Round y to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/52 + 27\/52. Let j(y) be the second derivative of 1\/12*y**4 + 1\/6*y**3 - i*y**2 + 0 - 2*y. Determine j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*f - 2, 0 = 3*f - 2*f - 2. Let g be (j\/(-3))\/((-4)\/38). Does 5 divide 1*1*(1 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(-3)*4. Suppose 3*i = -r - f*i + 5, -5*r - 4*i + 25 = 0. What is the remainder when 9 is divided by (r - 2\/2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353132 (base 6) in base 3?\nAnswer: -1112212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -200411 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1690 is divided by 1667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8845300 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = 2*r - 2, 0 = -r - 5*i + 10. Solve c = -r*q + 12, c + q - 10 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9083\/38 - 239. Is p less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**2. Let g be (-1)\/(-3) - 20\/6. Let d be q(g). Suppose -4*v + 0*v = 4*l - 84, 4*l = -3*v + d. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023335 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xavvxaahap. Give prob of sequence xx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328\/273 - 22\/21. Is u smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 2 g when four letters picked without replacement from {g: 2, k: 3, b: 8, e: 6}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 1. Let i be r(-1). Suppose p = -i*p - 5. Calculate the remainder when p - (-2)\/((-4)\/(-14)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -b + 12, 4*w - 6 = -b - b. Put -1, b, -2 in descending order.\nAnswer: -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 23925\/462 + (-6)\/(-28)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 1. Suppose 0 = -4*z - 13 + 33. Suppose z = -2*m + m. Determine k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26593\/2620)\/(((-420)\/32)\/(-15))?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42027348 and 84.\nAnswer: 294191436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 11. Let b be l(-5). Suppose 5*i - 297 = b*i. What is the units digit of (i\/12)\/3*-4 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 69*p**2\/2 + 612*p + 578.\nAnswer: (p + 1)*(p + 34)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11359 divided by 485?\nAnswer: 11359\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 43*y + 420. Give h(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 712. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) 0.2 (c) 14\/15 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67\/4 + -2085\/124. Let f = -407\/5 + 81. Sort 1\/10, r, f in descending order.\nAnswer: 1\/10, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665248 = -54*a + 210470. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/3718 and -50\/117.\nAnswer: 33462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.2664 - -4.1664. What is the smallest value in -1, -3.86, 0.4, g?\nAnswer: -3.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 651331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, -0.5, -13, 58206 in descending order.\nAnswer: 58206, 19, 5, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -335668.4 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*2*sqrt(13) - ((2*sqrt(117))**2 + -3).\nAnswer: -465 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b - 10. Let h(a) = 39*a - 48. Let r(v) = -5*h(v) + 24*x(v). Let j(n) = -17*n**2. What is r(j(f))?\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -116263?\nAnswer: 116234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 7) in base 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p + 702. Let h be u(58). Suppose 8 = -405*z + 409*z. Solve z = -2*s + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 23*d**2 - 2*d - 1. Suppose -19*x - 5 = -14*x. Is y(x) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -403639 + 1864879. Let k = -4752 + n. Round k to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 123141022 (base 5) to base 10\nAnswer: 599512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 2051.\nAnswer: -410.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7839 and 201.\nAnswer: 7839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 5*h + 4*f = 0, 5*h - f + 17 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027474 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {q: 4, s: 5, y: 8, a: 1}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165*b**4*o**2 + 2*b**4 - 794*b**2*o**2 + 3*o**2 wrt b.\nAnswer: -3960*b*o**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*z - 593 + 3491 = 0, -5*z - 3899 = -4*h. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.102 - 60.41219. Let t = 0.57 + -0.26. Let y = t + m. What is y rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*1 + sqrt(6))\/((sqrt(144)\/sqrt(4))\/sqrt(12)) + 2*sqrt(2)*-2 + 0 + -1.\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -760, -3020, -6786, -12058, -18836?\n\"Answer: -753*y**2 - y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3076, -3074, -3062, -3034, -2984?\n\"Answer: b**3 - b**2 - 2*b - 3074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (82\/5)\/((-2)\/(-35)).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -16*i**3 - 7*i**2 + 4*i. Let c(w) = w**4 - 17*w**3 - 7*w**2 + 5*w. Let r(d) = -5*c(d) + 6*g(d). Suppose r(z) = 0. Calculate z.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 0 - 3 - 5*s + 2. Suppose -4*u + 0*u + 4*g = 16, -10 = u - 3*g. Does 3 divide l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -646*k**3*l - 66945*k**3 - 345213584*l wrt k?\nAnswer: -1938*k**2*l - 200835*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + 152\/(-48)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 - 0.02. Sort -0.2, d, 4\/7 in increasing order.\nAnswer: -0.2, d, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/17, -0.35, 125.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.571 - -150.729. Let a = 105 + 56. Let v = a - d. What is v rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2) + 3 + 52. What is the highest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/5235 - 8683\/109935. Let d = r - -2\/9. Sort 2\/9, d, -0.05 in ascending order.\nAnswer: -0.05, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101 + f - 230 + 127 - 3*f - 49*f**3 - 10*f**2 to the form s*f + t*f**3 + l*f**2 + p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -52. Let z be (-1)\/(-7) + (-3)\/s. Suppose 3*a - 57 - 114 = z. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, l: 2, s: 7, t: 1, e: 2}. Give prob of sequence ed.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y + 3*v, 2*y + 7 = v - 0*v. Let c = 1 + y. Suppose c = 2*u - 0*u - 18. What is the greatest common factor of 99 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-1*sqrt(2))*5.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 1758*i**2 + 3*i - 1326*i**2 - 821*i**2.\nAnswer: -3905*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s - 70. Let c = s + 0. Let x = 22 + c. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/28 and -25\/294?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 373176103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**3 - 4*l**2 + 4*l - 2. Let f be y(2). Let u = -22741\/10 + 2276. What is the common denominator of u and f\/40 - (-24)\/(-96)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.48, 0.2204, -5 in descending order.\nAnswer: 1, 0.48, 0.2204, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.2302267 - -5.7276323. Let v = 29.96 - t. Round v to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 94082 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 467.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - (114 - 160)) + -74?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21001, -41911, -62821, -83731, -104641?\n\"Answer: -20910*i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.8739 * 0.0605\nAnswer: 0.05287095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 60 = -10*g. What is the smallest common multiple of 22 and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-2 - -8) - 335189\/17. Let d = l - -28362. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -20. Suppose 3 = -3*t + n. Let x(q) be the first derivative of 2*q**3 - q**2\/2 + q + 1. Calculate x(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 8\/7, 2\/2609.\nAnswer: 2\/2609, 8\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -197081, 2, -2\/7, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3920*q**2 + 55*q**2 - 279631*q - 1 + 279631*q - 3397*q**2 + (-4*q + 2*q - q)*(3*q - 4*q + 2*q) to the form t + m*q + i*q**2 and give i.\nAnswer: -7265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3950382 or -3950523?\nAnswer: -3950382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -23*h + 159. Let o(m) = -7 + 5*m - 11 + 3. Let i(d) = 21*d - 61. Let l(w) = h*i(w) - 9*o(w). Differentiate l(z) with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-29)\/(-15) + 2\/(-10) and (-7)\/(-14)*(50\/21)\/5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 43*n**2\/2 + 6*n - 11. Is u(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*r*z**2 + 2*r*z - 8*r - 64*z**2 - 2*z + 11 wrt z.\nAnswer: -20*r - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9257 + -6.7\nAnswer: -9263.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2840 + 3088 - 1600 + 174)*(-a - 3*a + 5*a) to r*a + c and give r.\nAnswer: 4502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) + sqrt(84)*-1 + sqrt(84) + sqrt(84))*5*-1)\/(((sqrt(192) - 4*(-3*sqrt(192) - sqrt(192))) + sqrt(192))*1).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -16*c + 3. Suppose -100 + 96 = 4*f. Let b be i(f). What is the second derivative of -3*z - 2*z + 2*z + b*z**4 wrt z?\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflalffllf. What is prob of picking 1 f, 1 a, and 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122028*f - 5804*f**2 - 117*f**2 + 122028*f to k*f + o + i*f**2 and give i.\nAnswer: -5921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430 or -432?\nAnswer: -432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 1. Suppose 3*b = 5*x - 17, 12 = -2*x - 2*x - 4*b. Let z(g) = -5*g**2 - 5. Let i = -7 + 11. Calculate i*c(w) + x*z(w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-240)\/(-5))*(78\/26)\/(153\/(-24)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let a(d) = -d**2 - 6*d. Give 3*a(p) + 15*v(p).\nAnswer: -3*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.429 - 22.42889723. Round u to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 87.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2 - 3\/5*i + 3\/5*i**3 - 3 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -390, 0.3, -2?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51549?\nAnswer: 3, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (283\/566)\/(21\/3360)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**4\/12 + 2*q**3\/3 - 2*q**2 + 16*q - 16. Let c(w) be the first derivative of d(w). Factor c(i).\nAnswer: -(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:34 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140 + 0?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.8 and 122.\nAnswer: -2903.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*y - 2*y + 20, 0 = -2*q + 3*y - 25. What is the second smallest value in q, -0.2, 0.2, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3059 + -0.3159. Let i = -577 - -581.98. Let r = i - -0.02. What is the smallest value in -3\/7, a, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 - 4 = 0. Sort t, 1, 3 in decreasing order.\nAnswer: t, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464910, 465100, 465290?\nAnswer: 465480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 3:49 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - 8. Suppose -9*h - 45 = 9. What is the remainder when (-48)\/(-10)*j\/h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v + 3. Let i be w(3). Let s = 31 - i. Suppose 3*r + 36 = 5*r. Calculate the least common multiple of s and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = 946*y - 949*y, 3*y = -4*f + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3122, -5, -2, 0 in increasing order.\nAnswer: -5, -2, 0, 3122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 15755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1982496 and 7\/2478120.\nAnswer: 9912480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.93 - 0.07. Let x = -39 + 42. Let d be 4\/(-8) - (3 - x). What is the nearest to 1\/7 in -1\/8, a, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20141 - 31052. Which is greater: q or -10910?\nAnswer: -10910","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 5*d - 6. Let z be s(-2). Solve z = h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-561))\/((-1365)\/5005)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035003 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849410 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 71 - 67 = -2*s, -2 = -2*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -2)\/(-21) - (-7)\/49. Suppose 9 = 3*q, 4*f - 2*q = 2*q - 4. Put 0.2, k, f in increasing order.\nAnswer: k, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*x + 3 - 2 - 1 - 32*x + 37*x.\nAnswer: -109*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/52 - 6\/13. Let l = 17 - 1. Let h = 7 - l. Sort v, 2\/5, h in decreasing order.\nAnswer: 2\/5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 61*h + 3263. Calculate l(-46).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35786 and 2120012.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162169933 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.771063164 to 3 dps.\nAnswer: 2.771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:00 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 3*v**3 - 27*v**2 + 27*v**2.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.40608 to two dps.\nAnswer: 3.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 3*sqrt(704)) - (-3 + (1*sqrt(99) - sqrt(11)) + 3).\nAnswer: -98*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o - 35. Give c(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 13*y - 19. Let r be c(10). Suppose 2*m - r = 9. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 7) in base 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14151400 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.311 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*r**2 - 424*r**2 - 163*r**2)*(-15*r - 16*r + 32*r + 3).\nAnswer: -710*r**3 - 2130*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by (-14)\/4*(5 - (-210)\/(-14)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -5 (c) 2\/3 (d) -85072 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(8) + -1 + 5 - (6*(sqrt(78) - 1*sqrt(78)))\/sqrt(6))*6)**2.\nAnswer: 288*sqrt(13) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from rrrzjujqjjrkjjzrjqr.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102120100212211 + 20?\nAnswer: 102120100220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 - -295. Solve -s - 3*s - 8 = x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 775, 2\/7, -108, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 20790*w**2 - 2 - 20792*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 5\/46, 4, -2\/13, -1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10 (b) 5 (c) 3 (d) -3\/8 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*w + 5 = 0, 2*w = q - 2 + 3. Suppose q*f - 7 - 2 = 0. Solve -b = f*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/(-209)*11 - (42 + -10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139659 divided by 3?\nAnswer: 46553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 9 + 29. Solve -p + 2 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 3*n**3 + 4*n**3 + (4*n**2 + 0*n**2 - 2*n**2)*(n + 2 - 2) - 2*n**3 + 2*n**3 - 2*n**3 + (n**3 + 4*n**3 - 3*n**3)*(108 + 80 + 9).\nAnswer: 393*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 197, 1821 in decreasing order.\nAnswer: 1821, 197, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-4)\/(-2) + 10. Let p = o - 8. What is the first derivative of -10 - p*y**3 + 7 + 2*y - 2*y wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**2 - 13*y + 11. Let s be j(1). Suppose -14 - 7 = -s*n. Solve n*b = -2*m + 3*m + 1, 4*b + 2 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 13. Suppose -3*a + 131 + d = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -5*2\/(-100). Let r = -9 + 13. Let s = r - 4.4. What is the closest to 0 in o, -4, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + w = -0*w - 22, 284*q - w = 276*q - 55 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 130*j - 333. Is i(10) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 3*d + 148 = 7*n, 0 = 5*n - 3*d + 370. Let t = n - -84. Let j be (t\/1325)\/(6\/10). Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.072 and 0.6.\nAnswer: 0.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -43*t - 696. Calculate u(-15).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gix when three letters picked without replacement from {c: 1, k: 1, i: 1, x: 2, m: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {k: 3, a: 5, q: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 110654, 110646, 110638, 110630, 110622, 110614?\n\"Answer: -8*y + 110662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64763088?\nAnswer: 2, 3, 13, 103787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let d(m) = m**2 + m - 4. Let v be d(n). Suppose -v*b - 2*y = -12, y = -4*b + 6*y + 51. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by 20\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -361 + 504. Does 67 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.117+-98469774593\nAnswer: -98469774594.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 26, 18, -2, -34, -78, -134?\n\"Answer: -6*d**2 + 22*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10577578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 3:48 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 2*f + 3. Let z be x(-2). Solve z*l - 12*l + 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53146989 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**12*x**(-6)*x*x*(x**2)**(-7\/4))**43)**(-3\/14) assuming x is positive.\nAnswer: x**(-1161\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -24*q + 32. Let d(w) = -21*w + 32. Let m(g) = -7*d(g) + 6*h(g). Let j(p) = -2*p + 21. Calculate -8*j(a) - 5*m(a).\nAnswer: a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 167431405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13384 + -11046. Calculate the remainder when x is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-98)\/(-35) - (-1)\/5. Let u = c - 1. Let z be 2\/u*1\/5. Is -1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 366. Let o be (-54)\/h - 416\/(-14). Suppose 2*x + o = -14. Do x and -20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 1\/8, 1\/6, 0.1, -320, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or -1110429?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 124*w - 537600 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2574 + 1.2574. What is the smallest value in -45, -2\/9, 0.5, a?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**4 - 4*k**4 - k**4 - 1 + (-3*k**4 - 2*k**4 + 2*k**4)*(-6 + 15 - 1) as o*k**4 + p + i*k**2 + n*k**3 + g*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 160.5 and 12017?\nAnswer: 11856.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 8. Let t = -291.7 + 302. Let q = t - p. Which is the closest to 1\/3? (a) q (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 16270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 2, x: 1, t: 3}. What is prob of picking 2 t and 2 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13641 (base 9) to base 11\nAnswer: 6a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -398 * 8\nAnswer: -3184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5748478 is divided by 1437100.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59073*q + 66379?\nAnswer: 59073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7075 (base 8) to base 13\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 25*m + 4. Let q = -11 + 15. Let v be r(q). What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + c - 10. Let r(b) = -8*b**2 - 3*b + 30. Calculate 6*r(y) + 17*u(y).\nAnswer: 3*y**2 - y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101010001010001001 (base 2) to base 14.\nAnswer: -1548a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8586278 meters?\nAnswer: 858627.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 194\/(-18) + 8\/(-36). Let p = s - -26. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2381061 (b) 5 (c) 0.2 (d) -2\/7 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13341, 26682, 40023, 53364?\n\"Answer: 13341*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97142?\nAnswer: 2, 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -55\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 65 = 35. Suppose 0*a - 4*a = -28. Solve -4*s + 10 = -4*i - n*s, -2*s + a = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 28*d. Let v be p(-2). Let x be (-12)\/v*4\/(-3). Which is the closest to x? (a) -2 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1162290 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10748b + -9?\nAnswer: -107498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -2. Suppose -1 = -q + 5*r - 9, -3*q = -t*r + 24. Let b be (20\/q)\/((-2)\/16). Solve 0 = 3*d + d - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/17605 + -144381\/352100. Find the common denominator of -17\/88 and w.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/4)\/(4704\/52416)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 5, -13, 0 in decreasing order.\nAnswer: 19, 5, 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68 + 10*k**2 - 68 + 2*k**4 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 2 = -2*o - 3*i, 3*o + 4*i + 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 650890 = -69490. Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*f**4 - 426*f**3 - 555*f**2 - 102*f.\nAnswer: 3*f*(f - 17)*(f + 1)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 10. Let n be q(-2). Suppose -248 = -3*l - t + 156, -n*l + 4*t = -560. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Let m be y(-6). Let h be -8*(609\/(-168))\/(1\/2). Let d = -55 + h. Put -4, d, -5, m in increasing order.\nAnswer: -5, -4, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24 - -0.27. Round k to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -129, -190, -275, -384, -517?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z - 2*g = 106, 0 = 3*g + 3. Let k be (-4)\/(-8) - z\/8. Let o be 8\/k*36\/60. Put o, 0.3, -2 in decreasing order.\nAnswer: 0.3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6153, -4 in increasing order.\nAnswer: -4, 1, 6153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33.9 bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mddd when four letters picked without replacement from dmdmddmddmdddddmdd.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (1830 - -1) + (-6 - -2). Suppose f = -q + 5*x - 781, 0 = -5*x. Round q to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3 (c) -6.8 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/3, -127, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 4 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:27 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -11201?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195 - -250. Suppose -64*p + o*p = -45. Put -4, -11, p in ascending order.\nAnswer: -11, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, 1, 683 in descending order.\nAnswer: 683, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/252 and -4\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -7 + -10 - -10 - -1216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + -3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 55*t + t**4 + 23*t - 81*t + 18*t**3 in the form g*t**2 + u*t + n*t**3 + x + c*t**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u*u\/(u**(-3)\/u)))\/u)\/u*u)\/u*u\/u**(-5)*u)**39*((u\/(u**(1\/3)\/u))\/u**5)\/(u**(2\/7)\/u**4) assuming u is positive.\nAnswer: u**(827\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*f - 2064 = -5*f - 2040, -4*f = 4*r - 12 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 70 - 88 = -u, 4*h = 6*u - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 907 = -655. Solve -3*c + 3*r + i = 0, r = -3*c - 2 - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*f + f = 38, -f + 71 = 5*p. Suppose 6*r - r - p = 0. Suppose r*k = -k - 2*t + 506, -5*t + 376 = 3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2. Let g(o) = -146*o**2 + 4*o - 612. What is g(v(b))?\nAnswer: -2336*b**4 - 16*b**2 - 612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/13640220 and 13\/210.\nAnswer: 95481540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d, a - 5*d - 6 - 4 = 0. Suppose a = -5*k - 0*k + 100. Is 5885\/k - 1\/(4\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/(-3)*18\/30.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-4)\/146) + -2. Suppose -p + m = -73. What is the highest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -10 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 36 = 5*c + 18*v, -9 = -v. Suppose -5*b = -4*b - q - 5, -3*b + 2*q + 12 = 0. Find p, given that -3\/2*p - 3*p**b - 3\/2*p**3 + c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14790 is divided by 1475.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-20)\/(-18)) - (-7)\/35. Solve 3*h = 5*h - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0 - -1)\/(-15 - -14). Suppose z - 4*l - 131 = g, 2*z - 272 + 22 = 5*l. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from zorozr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - c**2 - 2*c - 1. What is u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f + 1. Let n be w(0). Suppose -4*z + n = -35. Solve 5*p + 2*v = z, 2 + 5 = 5*p + v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + n + 4. Let o be c(0). Let m = o + -4. Does 14 divide 56\/2 + m\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjzzzkzpzrqkzzzk. Give prob of picking 1 q and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34021\/276032 - 103\/1216. Find the common denominator of k and 73\/32.\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cch when three letters picked without replacement from {c: 4, z: 4, u: 4, h: 8}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211100302 - -2?\nAnswer: -211100300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01221 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 335 + 98. Let t = 2687653\/507912 + 2\/21163. Calculate the common denominator of t and (-2)\/11 - x\/(-22).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - -47. Let c = 146 - z. Let r = 214 + c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 - -207.99288. What is z rounded to 4 decimal places?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (-5 + -5 + sqrt(200)) - (-3*sqrt(200) + -3))**2*-6.\nAnswer: -11814 - 4680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -a - 3. Suppose -51 - 65 = -a*y. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1351 divide 2202936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14)*(-1)\/(-10)*-5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 389, 11 in ascending order.\nAnswer: -5, 2, 11, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 31996 = -4*j, 2*j = -5*l - 0*l + 16026. Suppose 2*w - j = 1997. Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -4 (b) 2\/3807 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182\/5 - 36. Which is the second biggest value? (a) w (b) 6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 - -303. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37848, -37850, -37852, -37854, -37856?\nAnswer: -37858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 56 = 20. Suppose -3*y - 9 = -k. Solve y = -2*d - w, 0 = -3*d - 2*d + w - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/6 + 6\/9. Let t be ((-32)\/20)\/(2\/m). Is t\/6 + 74\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140289 and 3241.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304557917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 6. Let u be 4 + 11\/(-1) + i. Let o(z) be the second derivative of z**5\/20 + 5*z**4\/12 - z**3\/2 - 3*z**2\/2 - 28*z - 1. What is o(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(3 - 14\/4). List the prime factors of (l\/2)\/(4\/32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2 + 2*i + 2. Let b(o) = 12885*o**2 + 18*o + 18. What is b(v) - 9*d(v)?\nAnswer: 12813*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45736313.\nAnswer: 7, 6533759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*l = -203*l - 174*l + 152 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 10.727.\nAnswer: 5.3635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3076 (base 8) to base 5\nAnswer: -22343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let y(g) be the second derivative of 0*g**3 + 0*g**2 - 1\/6*g**4 + 0 - 4*g. What is y(q(x))?\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -0.16862.\nAnswer: 5.83138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1148\/64191 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n - 45. Calculate z(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*p**4 - 16*p**4 + 3*p - 8*p**4)*(3 - 3 + p).\nAnswer: -2*p**5 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 5. Give s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3375 + -3365. Solve 0 = 2*f + 3*f + k + j, f = -5*k - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 7*p - 17. Let v(k) = -k. Let t(h) = s(h) + 4*v(h). Let m be t(-9). Which is the fourth biggest value? (a) 3.1 (b) 4\/5 (c) 2\/5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l - 693*l = -1807 - 1209. Factor 0*b + 2\/7*b**2 + 0 + 8\/7*b**l + b**3 + 3\/7*b**5.\nAnswer: b**2*(b + 1)**2*(3*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(2 + sqrt(245)*-4) + -6*(sqrt(245) - 4*-3*sqrt(245)))**2.\nAnswer: -4592*sqrt(5) + 1647396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 7 + 1)*(-3*o + 17*o + o) as n + i*o and give i.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = l + 225. What is the second derivative of -194*a - 67*a**3 - 62*a**3 - 54*a**2 + l*a + 131*a**3 wrt a?\nAnswer: 12*a - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.75, 24, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1209582\/13, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/14 - (-2)\/(-4) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - h**2 + 0*h**2)*(-2 + 2 - 2) + 4*h**2 + 0*h**2 - 2*h**2 + (-3*h + h**2 + 3*h)*(0 - 4 + 6) + 0*h**2 + 0*h**2 + h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11531*c**4 + 53*c**2 - 9470653?\nAnswer: -46124*c**3 + 106*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/6)\/((-18)\/20601)?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 2\/15, 166, -3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 9) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2. Suppose 75*m - 37*m = 59*m - 168. Let z = 12 - -7. Let i(b) = -m*b - z*b + 2*b - 12*b. Give f(i(t)).\nAnswer: -1369*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(416)*-2 - sqrt(416)) - sqrt(416) - sqrt(416))\/(-1*sqrt(32)\/sqrt(4)))\/(sqrt(64)*2*1 - (sqrt(64) - (sqrt(64)*2 + sqrt(64)) - sqrt(64))*-2).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1328 and 0.12367.\nAnswer: -164.23376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u + 7. Let y be f(1). Suppose y = s + 4*s - 30050. What is s rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*t - 248*t - 261*t + 764*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/4*(-12)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22341207 divided by 1083\nAnswer: 20629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f)\/f**(1\/10)*f**8*f*f\/(f*(f*f**(6\/7))\/f*f*f)*(f\/f**(-8\/5))\/f*f**(-1)*f**7*f*f**(-3\/4) assuming f is positive.\nAnswer: f**(529\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from {n: 8, l: 1, h: 11}.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.48 - 0.52. Let g = o - -64. Which is the closest to 0? (a) 3 (b) g (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 times 13.7\nAnswer: -1137.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54297*g**2 + 75978*g wrt g?\nAnswer: 108594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -254, -0.4, 0.6, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13792035 is divided by 6896011?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25470470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 156.8441 nanograms?\nAnswer: 0.0000000000001568441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j*(j**6\/j)\/j*j*j)*j)\/(j\/j**(-5\/3))*j\/j**(-4)*j**(1\/4)\/j assuming j is positive.\nAnswer: j**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2236.943?\nAnswer: -4473.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 728 and 48594.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32508 and 391356.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3)*(-759)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 231236 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w - 35. Calculate r(-17).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -9*j**4\/8 + j**3\/6 - 2*j**2. Let h be k(-2). Calculate the greatest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2. Let q(u) be the second derivative of u**3\/3 + 7*u. What is l(q(k))?\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*y + (6*y + 0*y - 3*y + (-y + 3*y - 3*y)*(2 - 1 - 2))*(-3 + 1 - 4).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-1)*(205 - -29)\/((-4)\/(-2)) is divided by 46.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3052 - 3061. Are -9 and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhvvvvvvvvv. Give prob of picking 2 h and 2 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 2\/3, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 502?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4453 - 0?\nAnswer: -4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3021002 (base 6) to base 9.\nAnswer: -236762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252 + 128 + 199*d**2 + 122 - 2*d - 724*d**2.\nAnswer: -525*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*k + 138*k - 69*k - 225 - 67*k + 61*k.\nAnswer: -2*k - 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*h + 9, h - 3 + 0 = 0. Solve c = 52*y - 53*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 2*k)*(k**2 - 3*k**2 - 2*k**2)*(-2*k + 5*k + 5*k)*(-3 + 3 + 1)*(-12 - 5 + 18)*(0*k + 0*k - 2*k).\nAnswer: 128*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*r - 0*r - 386, -5*m = -2*r - 618. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1434 = 3*b, 2*j + 2*b = -108 - 464. Let u = -204 - j. Suppose 78*f = u*f - 6234. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c + 3440 = 51*c + 354*g + 141*g - 151*g, -2*c - 30 = -3*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1243768670?\nAnswer: 1243768670.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(6\/7)*r*r*r**(-4)\/r assuming r is positive.\nAnswer: r**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/4, -2\/15, -2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2238*i - 1192*i + 214802 = -92*i - 132*i for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/3 (b) 5 (c) 0.3 (d) 1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1762*p - 1758*p - 1767*p - 1762*p - 1761*p + 8806*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -6782.178.\nAnswer: -13564.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5488106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42271\/54 - -4697\/6. Let p(n) be the second derivative of 10*n + s*n**4 + 0*n**2 + 1\/9*n**3 + 0 - 1\/90*n**5. Suppose p(l) = 0. Calculate l.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3 + 2121*x**2 + 2118*x = 0.\nAnswer: -706, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w + 48*w = -227970. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2263*r + 8455*r + 4663 + 4653 - 9316.\nAnswer: 6192*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/3778 and 97\/45336?\nAnswer: 45336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135*38\/513)\/((-15)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -4*s**3\/3 - 15*s**2\/2 - 15*s. What is the units digit of h(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 13*c**3\/3 + c**2 + c - 1. Does 6 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/48 and -25\/252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.07665ng in kilograms?\nAnswer: 0.00000000008507665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6744932 rounded to 1 dp?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 23316660071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) - (-1 - 46\/14). Suppose -4*o = 2*j - 2*o - 150, -222 = -3*j - m*o. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 455084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208183\/13968360 + -22\/8435. Find the common denominator of v and 133\/162.\nAnswer: 14904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330310 + 111212?\nAnswer: -213032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 66594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 0.013.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p**2 - 7*p + 26. Let i be o(-5). Let c = i + -152. What is the remainder when c is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**3\/2 - c**2 + 5*c. Suppose -12 = -2*n - 2*n. Let h be z(n). Solve 0 = h*y - 2*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/50)\/(1\/73) and -21\/542.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25728, 25007, 24286?\nAnswer: 23565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1798, -0.26, 0.2?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12305001 (base 6) in base 5?\nAnswer: -100211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -44, -102, -204, -362, -588, -894?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5350*d = -5353*d - 16, -28 = -2*a + 4*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 19*u**2 - 12*u - 7. Suppose 4*y - 3*g = -66 - 79, -g - 165 = 4*y. Let q = y - -27. Is r(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -74.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -5, 96, -57 in decreasing order.\nAnswer: 96, 12, 0, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008918 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 22*k**2 - 4*k - 9. Let z(v) = 4*v**2 - v + 1. Let y(i) = b(i) + 4*z(i). Calculate y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373906498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*p + 103*p - 230*p - 1812 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 8*n - 8. Let b be c(-9). Let m = -5 + 7. Let g = 2 + m. Sort -1, g, b.\nAnswer: -1, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -360105*k. Let t(o) = -o. Determine n(t(q)).\nAnswer: 360105*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b08 (base 12) to base 5.\nAnswer: -101240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408\/16883 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/787, -0.1?\nAnswer: 2\/787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -o + 4. Suppose -3*h + 38 = -o. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l + 16824 = -41*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 4*p**2 - 737. Let g(a) be the second derivative of -a**4\/4 + a. What is v(g(i))?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9137 or 9138?\nAnswer: 9137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -173*(-1)\/(-88) + (1 - -1). Let z = l + 239\/88. Factor 9\/4*r**2 + 1\/2 - z*r.\nAnswer: (r - 1)*(9*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5659576325 - -0.03301\nAnswer: 5659576325.03301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 + 10*u + 6. Let d(y) = -6*y**2 - 10*y - 5. Let l(q) = -6*d(q) - 5*r(q). Give l(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**3 + 9*o**2\/2 - 4*o. List the prime factors of b(4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5*l - 31*g**4*l**2 + g**3 - 52*g**2*l - 2*l**2 + 3*l wrt g.\nAnswer: 120*g**2*l - 744*g*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522992.\nAnswer: 2, 137, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z**2 + 5*z**2)*(4 - 4 + 26*z - 75*z).\nAnswer: -343*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.27 + -114.75. What is v rounded to 0 decimal places?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -72*h + 2*h**2 + 3*h**3 + 73*h - h**3 + 0*h**2. Let d = -91 + 90. Determine g(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*h - 235*h - 2280 = 0. Calculate the lowest common multiple of h and 214.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18662504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924023374.\nAnswer: 2, 113, 4088599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0179325 rounded to four dps?\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 15*t + 20. Let h be m(14). Suppose 4*g - h - 2 = 0. Let p(i) = -4*i**2 + 0*i**2 + 4*i**g - 2*i**2. Let v(b) = -b**2. Calculate v(p(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11801 + 1692 = -11*l. List the prime factors of l.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 - -306. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2120508*s**4 - 13*s**3 + 43805790 wrt s.\nAnswer: 8482032*s**3 - 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5782*-23077.\nAnswer: 133431214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396417, 792844, 1189275, 1585710, 1982149, 2378592, 2775039?\nAnswer: 3171490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/3 + 4*j**2\/3 + j = 0. Calculate j.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 8, 121, -16, -1 in descending order.\nAnswer: 121, 8, -1, -16, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(320) + (sqrt(320) + sqrt(320)*2)*2 - sqrt(320))**2.\nAnswer: 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 6*y - 29. Determine p(-10).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5235075 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a**2 - 2*a - 49. Let t(v) = -47*v**2 + 5*v + 146. Determine 4*t(d) + 11*u(d).\nAnswer: -d**2 - 2*d + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 3. Let g be d(-5). Let n = 286 - 124. Let r = -1132\/7 + n. Which is the third biggest value? (a) r (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1\/731, -0.055, 3\/8, 2\/9, 2 in decreasing order.\nAnswer: 20, 2, 3\/8, 2\/9, 1\/731, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 6*f - 16. Let t(l) = -12*l + 40. Let w(k) = -5*d(k) - 2*t(k). Let s(i) = -11*i**2 + 13*i. Determine -6*s(h) - 13*w(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*z + 3 + 115*z + 195*z - 103*z to the form x + v*z and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60154889 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79681 - -79680.710326. Let x = -0.29 - l. Round x to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23594338 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/12 - 1)\/(18 + 10620\/(-594)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358.1555 months in decades?\nAnswer: 11.3179625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4447)\/4137 - (1 + -2). Let v = g + -4\/197. Which is the smallest value? (a) -2\/9 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 30277.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 180538 from 0.\nAnswer: -180538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)*s\/((s\/s**(-2\/5))\/s)*(s\/(s\/(s\/(s\/(s*(s*s**(2\/3))\/s)))))**(-5\/12) assuming s is positive.\nAnswer: s**(19\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 4*b + 1111*b**3.\nAnswer: 1111*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-51)\/17*21\/(-18)*-4).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 2. Let d = 19 - 13. Let w = x + d. Sort 1\/5, 1, w in descending order.\nAnswer: 1, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59683 divided by -1\nAnswer: -59683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o + 223 = 109. Let g(m) be the first derivative of -1\/2*m**4 + m**2 + o*m - 15 - 2\/3*m**3. Factor g(w).\nAnswer: -2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1906.55 + -0.4.\nAnswer: 1906.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-33)\/(15\/(-5)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 24. Let m be w(-14). Let k be ((-5)\/3)\/(m\/12). Suppose 0 = k*u - 2*c - 269, -2*u + 74 = -c - 33. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 23*a**2 + 61*a. What is g(20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*q + 14, -5*t - 70 = -39*q + 36*q for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(sqrt(98) + -1))**2 + sqrt(98) + (-3*(sqrt(98) + 0 - sqrt(98)))**2 + sqrt(98) + sqrt(98)).\nAnswer: 35*sqrt(2) + 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g + 4*r - 7, 4*g + 3*r - 24 = 0. Let o(f) be the second derivative of -1\/3*f**g - 3\/2*f**2 - 2*f + 0. Differentiate o(x) with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/143)\/((-4)\/(-22))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzzz when four letters picked without replacement from {z: 3, p: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537*c + 3627622 = 815*c. Does 70 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 4. Calculate the remainder when 46\/u + 7\/(-14) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 0*f + 0*f**2 + f**2 + 0*f**2. Determine z(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - g)*(-204*g**2 + 2066*g - 2066*g).\nAnswer: 204*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184257 divided by -8.\nAnswer: -184257\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by -8640.\nAnswer: 157\/8640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 52*x**3 - x**2 - 3*x - 1. Let c be f(2). Suppose 20*b = -25*b + c. Calculate the highest common factor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*g + 4846 - 4846)*(-g - 3*g + 6*g)*(2 - 2 - 3*g) as w*g**2 + k*g**3 + q + y*g and give k.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2404 - -28829\/12. Find the common denominator of k and -3\/62.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 41 - 11 = 0. Let q be (-16)\/m*12\/4. Let t = q - -82. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*m + 61*m + 6459 - 6459 - 48*m.\nAnswer: -409*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223310 (base 7) to base 14.\nAnswer: 10607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 7:48 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-12))\/(2\/(-12)). Suppose n*b + 5 = 3*b. Let y = 12 + b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 32*y - 213. Determine i(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -7, 1\/4, -4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) + sqrt(441) + (sqrt(441) - (sqrt(441) - sqrt(441)*-1)*-3) + sqrt(441)*1*-3)\/((1*sqrt(378))\/(sqrt(486)\/sqrt(9))))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001006941 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347.8 + -347.8838. Round c to three dps.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = -2*p - 3*p. Let s = -46 - p. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 16*i = 656. Let v = i - -295. What are the prime factors of v?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5207508.328 rounded to the nearest 1000?\nAnswer: -5208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (307671\/25116)\/((-1)\/3*(-21)\/48)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/10)\/((8\/10)\/2). What is the third smallest value in -4\/5, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5 + -6?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -341, -2\/64969 in increasing order.\nAnswer: -341, -2\/64969, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000691371 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(171))\/sqrt(9))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13443978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrhrrrrrr. Give prob of sequence hrrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/12 - 7*c**3\/6 + 5*c**2 + c. Let h be x(-8). Is h at least as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331075 by 13243.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t**2. Let y(p) = -74*p**2 + 0 + 0 + 75*p**2. Calculate y(j(n)).\nAnswer: 324*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23790*i + 23786*i = -3*b - 69, 3*b - 8*i + 129 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13683028*l**3 + 714762065*l**2 wrt l?\nAnswer: -82098168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 3*w + 6. Let g be p(5). List the prime factors of 11 + (-1)\/(2\/g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2\/5 - 1143*g\/5 + 10611\/5 = 0.\nAnswer: -1179\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.29 + -7.39. What is the nearest to y in 1.4, 4, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:03 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 219, -0.91?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525447002.\nAnswer: 2, 3, 254241167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 9*f + 222*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1227, 1\/44, 2 in descending order.\nAnswer: 1227, 2, 1\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-8)\/6 - -2). Let w be t\/5*10\/18. Let i = 32 + -28. Which is the biggest value? (a) w (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -1)*14\/28. Let i(b) = 3*b**2 + 3*b**m - 5*b**2. Let w(j) = -17*j**2. Give w(i(z)).\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -3*l - 46 + 4\/3*l**3 - 3\/2*l**2. What is the units digit of t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 41*s**3 - 7*s**2 - 12*s + 24. What is r(-3)?\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -23. Let a be 856\/g - (-84)\/105. Suppose 4*d = 28 + a. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 816.\nAnswer: 75888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 3*l)*(78 - 19 - 33).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12579 - -19729. Suppose 33*w + v = 55*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -1446 - (6 + 0)) + 6?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4485 + 4557. What is the greatest common factor of 168 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0895 (b) 2\/11 (c) 0.12 (d) -1\/9 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n**2 - 4*n + 3. Let m(o) = 3*o - 8 - 3*o + 4*o - 36*o**2 + 7*o. Let b(j) = -3*m(j) - 8*q(j). What is the units digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*v - 9. Let b be v*(45\/4 - 0). Suppose -4*p + b = p. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147*-0.97624\nAnswer: -143.50728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44946\/(-2992) - -15)*90 - -2.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 - -156. Suppose 4*f + 27 - 7 = -3*y, -f - 6 = y. Let q be (-1 - -3)*1\/f. Sort m, q, -2 in ascending order.\nAnswer: m, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 580 - 480. What is the highest common divisor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7859, -11267, -14675, -18083, -21491?\nAnswer: -24899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 6 - p**2 + 13 + 15.\nAnswer: -p**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 109123696 and -148.5328.\nAnswer: 109123547.4672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41713423 (base 8) in base 13?\nAnswer: -1ac1812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*x + 15 - 5, -m + 8 = 4*x. Let f be (-1 - -1) + 0 + m. Let j(a) = -a**3 + a**2 + 34*a + 66. Let u be j(-2). Solve 0*t + 2*t + u = f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a + 806. Let b(l) = -5*l + 391. Give 7*b(n) - 4*f(n).\nAnswer: n - 487","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 7*a**2 - 7*a + 11. Let m be w(-8). Suppose 0 = -m*c - c + 12. Let f(b) = -b + 1. Let z(h) = h - 1. Let l(n) = -3*f(n) - 4*z(n). Give l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1129.95 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/28 (b) 0 (c) 1 (d) 5 (e) -3\/7 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.21 + 0.19. Let f = v + 0.6. Let n = -3.9 - 0.1. Which is the third biggest value? (a) n (b) f (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6312 - 191 = 5*s, 2*s = -4*c + 8662. Suppose -9*o + c = -2739. Does 45 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*k = 2, 3*q - 3*k - 22 = -5*k. Differentiate 2 - 6*a + 0*a + q*a with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340262.67 rounded to the nearest one hundred?\nAnswer: 340300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, d: 1, a: 1, v: 8, m: 3, s: 3}. What is prob of sequence mdna?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2846 + -2844. Suppose u = 3*u. Suppose u = -2*v + 10 + 8. What is the remainder when v is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (3*-2)\/(-3)*2140\/(-856)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 17*u + 3. Suppose 5*q - 55 = -0*q. Let m(c) = 6*c + 1. Suppose 0 = -2*y - 3*z - 90 + 67, -11 = 4*y - z. What is q*m(g) + y*h(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from {k: 3, e: 4, c: 6, x: 2, y: 3}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12022226 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/7168?\nAnswer: 13\/7168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 759 + 3?\nAnswer: 75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x + 76. Calculate c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x\/(x**(-1\/7)*x)))))\/(x\/x**2))**(-3)*(x\/x**2*(x*(x*x**4)\/x*x*x)\/x)**(2\/159) assuming x is positive.\nAnswer: x**(-6131\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 3*d + d + (-3 - 3 + 3)*(d + 0*d - 2*d) + 0*d - d - d + d - d - 2*d + (-2*d - 2*d + 6*d)*(-1 + 2 - 3) - 1 + 1 + 2*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.76922mg in nanograms?\nAnswer: 4769220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 871378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*b - 110, -b + 3*b - 50 = -2*o. Calculate the remainder when 38 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f. Let q(l) be the first derivative of -7*l**3\/3 + 9. Determine q(p(z)).\nAnswer: -175*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29706 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5 - (-8 + -3 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/7))**31*(d**1*d)**44*(d*d**5*d)\/((d\/(d*(d\/d**0*d)\/d)*d)\/d)*(d\/(d\/(d\/(d**(-3)\/d*d))))\/(d\/((d*d**(-2\/7))\/d)) assuming d is positive.\nAnswer: d**(970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y**2 + 5*y + 2. Let f be v(4). Is 316284\/15 + 6\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 - j**2 + j - 75 + 218 to v*j + i + y*j**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 24334.\nAnswer: 219006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3038\nAnswer: -2\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/36 and 23\/102?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6.6, 63, 16, 4, -5, -13?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = 7. Sort -3\/4, 0.1, s in descending order.\nAnswer: 0.1, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0 + 0*a**3 - 14*a**2 + 0*a**4 + 0*a + 1\/6*a**5. Let p(w) = -w. Determine y(p(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(153))*4*5 + 2)**2*-4.\nAnswer: -283216 + 47040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 1 = 0. What is the first derivative of -h + t + 0 - h - 3 wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3648*g + 3370*g + 831*g + 963*g + (-4*g + 0*g + 3*g)*(-1 + 1 - 2).\nAnswer: 8814*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11472 and 44212?\nAnswer: 126800016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -3, 9, -2, -6 in decreasing order.\nAnswer: 9, 8, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 12. Suppose 5*z + 3*o - 44 = 4*o, -2*o - 43 = -5*z. Let w = z + a. Solve -j - 20 = w*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 + 17*d**2 + d - 12. Suppose -o - 34 = -39. Let q be t(o). What is the highest common divisor of q and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.841 - 2.041. Let j(g) = g**3 - 12*g**2 + 12*g - 11. Let x be j(11). What is the closest to f in x, 3, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 450, 643, 1076, 1755, 2686?\n\"Answer: t**3 + 114*t**2 - 156*t + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 8*n - 4. Let m be i(-7). Let y(q) = -2*q**3 - m + 3*q**3 + 3*q**2 + 0 - q. Let l = -19 - -16. Determine y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c = 15. Suppose 240 = -0*l + c*l. What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:49 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23 (b) -0.3 (c) 3.158 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(45\/20) + (-15)\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76058116 rounded to the nearest ten thousand?\nAnswer: -76060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 2. Let z(q) = -3*q - 113 + 43 + 31 + 37. Let y(x) = 2*x + 9. Let n be y(-7). Calculate n*z(k) + 6*s(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 6*l**2 + 156*l + 613. What is x(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13271, -13153, -13035, -12917, -12799, -12681?\nAnswer: -12563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 5 - (-36 + 26)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 31. Let t be 57\/(-95) + (-62)\/5. Let k = -6 - t. What is the remainder when n is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 9*d**2 + 8*d + 7. Let j be t(-8). What is the units digit of (1 - j)*7\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) + sqrt(320) + -1 + sqrt(320)))*-6 - (sqrt(320) - (3 + sqrt(320) + 0) - sqrt(320)))**2.\nAnswer: -624*sqrt(5) + 54089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2256\/56 - (-12)\/(-42). Let o be 1 + (-3 - 3*-2). Suppose 2*q + 3*j - 16 = -0*j, o*j = 2*q - 2. Calculate the highest common divisor of q and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1988182 and 4?\nAnswer: -7952728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.149254 to 3 dps.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 57*m**2 - 3. Let y(c) = 2*c. Give y(x(s)).\nAnswer: 114*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 14*w**2 - 43*w - 26. Calculate y(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -15361, 3, -3 in decreasing order.\nAnswer: 5, 3, 1, -3, -15361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/21)\/(44\/10))\/(421\/(560351\/(-726))).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.36? (a) -1160\/21 (b) -2\/3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 15. Let q = -253508 + 253869. What is the remainder when q is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8176 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Find the common denominator of (-16)\/88 + (-806)\/(-198) and (-11)\/g*8\/(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1050124933 rounded to five decimal places?\nAnswer: -0.10501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 15*u**2 - u + 15 = 0. What is u?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*m - 18. Suppose -g = m*g. Solve x = 3*n + 10, 4*x + 0*x - 16 = g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (7 - 3) - (-5 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203*(4 + -5)\/(-2 + 1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79690 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -625 and 119852.\nAnswer: 119227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = a. Let m = 12 - a. Suppose -5*v + v = m. Sort 0, v, 5.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 12\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336873341 to the power of 1\/3, to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41883209 rounded to the nearest one hundred thousand?\nAnswer: -41900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 73.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 9*b**3 - 11*b**3 - 4.\nAnswer: -2*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 493\/356 - 12\/89. Which is greater: 5\/16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68781 is divided by 1323.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**7*u\/(u**3*u))**(12\/11))**(-4\/21) assuming u is positive.\nAnswer: u**(-80\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2058 + 4129 - 14*h - 1034 + 2*h**2 - 1037.\nAnswer: 2*h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55840268\/3 at most 18613422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2944, -5886, -8826, -11764, -14700, -17634, -20566?\n\"Answer: z**2 - 2945*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-274)\/40 + 0 + (-7041)\/46940.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (180\/25)\/(-3*2\/(-105)). What is the highest common factor of a and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) -2 (b) -0.1 (c) 0.2 (d) 1431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z - 9. Let y be d(-13). Let o be ((-12)\/y)\/(7\/(-8)). Which is the closest to o? (a) -3 (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2. Let l(f) = 1 + 10*f**2 - 3*f - 4*f**2 + 0. Let b(z) = 5*h(z) - l(z). Give b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4\/7 + 22*d**3\/7 + 8*d**2\/7 = 0 for d.\nAnswer: -4, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453719923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57344 is divided by 178.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 195*b**2 + 2*b - 2. Let s be q(1). Let x = 206 - s. Calculate the greatest common divisor of x and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30627000 = 44*m - 53*m. What is m rounded to the nearest ten thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = 2*w. Is (-12)\/(-8) + 4100\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 211?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/3 - 12364*q**2\/3 - 49468*q\/3 - 49472\/3 = 0. What is q?\nAnswer: -2, 12368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -351*n**4\/4 + 130*n + 316. Differentiate r(v) with respect to v.\nAnswer: -1053*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 3) in base 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**4\/11 - 2*z**3\/11 + 258*z**2\/11 - 166*z\/11 - 84\/11 = 0. Calculate z.\nAnswer: -7, -1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1166 - 792. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19318 divided by -26\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1016 = 2*k - 1020, 0 = 3*k + 3*u + 24. Is k > -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3671*w**4 + 7667 with respect to w.\nAnswer: -14684*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14664 and 291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 1. Let k be z(4). Let r(v) = -2 + 1 - k*v - 2*v + 7*v. What is r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.996 and 364158115.3.\nAnswer: 364158114.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-77))\/((-9)\/(-14))*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(18\/(-15)))\/(30\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -900 >= -895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536958 is divided by 1028.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93.7 - -19.3. Let k = 53822.6737093 + -53709.6737. Let s = w - k. Round s to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16) + (-47 - (-45 - -8) - (-8550)\/(-80)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {b: 3, w: 2, e: 2, s: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49324 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + -1*sqrt(133)*2) - (sqrt(133) - (2*(sqrt(133) - sqrt(133)*2) + sqrt(133))))*1)\/((-4*(sqrt(84) - sqrt(84)*-2))\/(2*sqrt(48))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + -2.5. Let y = -5 - d. Let z = 127\/476 + -2\/119. Sort y, 3, z in ascending order.\nAnswer: y, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -5. Suppose j - 2*l = -7, -6*j = -3*j + 3*l + 3. Does j = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 2956371\nAnswer: -7\/985457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 times -0.4?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983645 bigger than 1983643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 3) to base 7.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/13 (b) -1\/53 (c) 0.5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -81*x + 38*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {o: 5, l: 6, r: 3, g: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 + 7*t + 1. Let b(a) be the second derivative of a**4\/12 - a**3\/2 + 3*a. Let l(s) = 5*b(s) + 2*i(s). Factor l(d).\nAnswer: -(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 24 = -2*m, s + 4*m = 4*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -569264400 to the nearest 1000000.\nAnswer: -569000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v + 54*v + 1 - 3)*(0 + 0 + 2*v).\nAnswer: 72*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 2 - 36*x.\nAnswer: -36*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 2.2. Let u be (1*(2 - 1))\/1. What is the second smallest value in o, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -8 - (4 + 1 - 7). Suppose -2*h - 110 = -j*h. Calculate the greatest common factor of h and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**6\/3 + 146*i**5\/25 + 29*i**4\/2 - 58*i**3\/3 - 30*i**2 + 144*i\/5 + 2730. Solve g(t) = 0 for t.\nAnswer: -12, -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 8. Suppose 0 = 2*c - z. Suppose -4*n + c*t - 1 + 5 = 0, 0 = 4*n - 2*t + 6. Put 0, n, -5 in decreasing order.\nAnswer: 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + -9 + 12\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5 + 2*k**4 + 10*k**3 + 6*k**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s + 99*s**6 + 2*s - 24*s**6 - 8*s - 4732*s**2 - s**5 - 7*s**4 wrt s?\nAnswer: 9000*s**3 - 60*s**2 - 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244\/54 + 399\/(-10773)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 3*r + 11. Let j(o) = 362*o - 2. Determine j(h(b)).\nAnswer: -1086*b**2 - 1086*b + 3980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 - 17. Let x be d(-4). What is the greatest common factor of x and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27996990*u**3 + 27785610*u - 1 wrt u?\nAnswer: -167981940*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25845744?\nAnswer: 2, 3, 23, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p. Let u(a) = -a. Give -n(k) + 12*u(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62358.6925 - 0.21.\nAnswer: -62358.9025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, 55 in increasing order.\nAnswer: -13, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 709225 or 709226?\nAnswer: 709225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + -0.484.\nAnswer: -0.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5176 and 1902827?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 869 + -47849\/55. Is -2 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from kirybbr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from qgqfqgffgfyeffd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*x - 361*x = -676 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4a3aa (base 12) to base 15\nAnswer: -1ece1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157 - 554?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m = 75*m - 3677 - 607. Let v(s) = -s**2 + 37*s - 36. Determine v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 - k**2 - 2*k**2 - k**2)*(-5 + 5 - k**2).\nAnswer: -4*k**5 + 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*((-6)\/(-4) - 2). Is 1\/(2\/l) - -615 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229510801?\nAnswer: 13, 17654677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 30, 69, 124, 195, 282?\n\"Answer: 8*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1*3\/(-2). Let y = i + -3. Let a = 3 + y. Calculate the remainder when 7 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 11. Let q(r) = 3*r - 4. Let u = 16 + -27. What is u*q(n) + 4*i(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.8 (c) 304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 43 = -3*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.9507cm to nanometers.\nAnswer: 8659507000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15)*f**(-4\/11)*f)**46 assuming f is positive.\nAnswer: f**(5842\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184.9105 + 0.0895. Which is the smallest value? (a) 1\/5 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13055105.\nAnswer: 5, 7, 373003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8*a - 6. Suppose 3*d - d = a*i + 50, 5*d - 121 = 3*i. Suppose -16*u = -d*u - 3801000. Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = 3*t - 0, -5*t = 2*c + 10. Let x = 4 - c. Suppose 29 = -4*a - 3*v + 250, v - 223 = -x*a. Calculate the lowest common multiple of a and 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 103. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/104)\/((-67)\/268)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) 8 (c) 2 (d) -0.3 (e) 758\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 6915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 - 5.0858?\nAnswer: -4.9558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 40 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1535366614?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -6, -23, -38, -45, -38?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1 (c) -1 (d) -2\/9 (e) -0.038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.544 + -1.644. What is the nearest to -0.1 in -537, k, 5, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + (sqrt(1331)*1)**2).\nAnswer: 4*sqrt(11) + 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(119)*-1 - sqrt(119)) + sqrt(119) - sqrt(119))\/((3*sqrt(70))\/sqrt(10)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 + 155. Let k be ((-8)\/((-80)\/105))\/(d\/32). Calculate the highest common divisor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11140*d**2 - 89043*d + 110. Give f(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-35)\/(((v*v**(1\/3))\/v)\/v))**(-1\/23) assuming v is positive.\nAnswer: v**(103\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -166 (b) -12\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 7*t - 4. Let g be f(-6). Suppose -3*s - 9 = 5*m + 20, -g*s = -3*m - 6. Let j be (0 + 1)\/(s\/(-3)). Solve 2*v = 9 + j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 29*c**2 - 6*c - 58. Let m be v(-29). Which is bigger: 117 or m?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k + 64*k + 20*k - 110*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 15 = 0. Suppose t*u - 418 = -108. Let c = u + -10. What is the remainder when c is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*o**4 + 53*o**4 - 15*o**4 + (14*o + 15*o + 32*o)*(4*o**2 - 4*o**2 + 2*o**3) to n*o**3 + x*o**4 + v*o + w + h*o**2 and give x.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/337 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -637 - -2202. Suppose -5*i + f - 245 = 0. Suppose 2*j - i = -2*j. Is j a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 7*v**2 - v - 3. Let t be a(-7). Let n(y) = y**3 - 6*y**2 + y - 5. Let b be n(6). Sort t, 5, b in increasing order.\nAnswer: b, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -810ec?\nAnswer: 810ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 180\/99 + -4 - -2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 999950\/275 + (-4)\/22. Suppose 0 = -4*y - 4*b + f, 0 = -5*y - 2*b + 2593 + 1955. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.01 rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -130929, -260661, -390379, -520077, -649749?\n\"Answer: w**3 + w**2 - 129742*w - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/3)*t*t*t)\/t)**(-4\/11)\/((t*t\/(t*t\/(t*t\/(t**(-6)\/t*t)*t))*t)\/t**(-1)) assuming t is positive.\nAnswer: t**(-403\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4 = 2*r, -5*r + 12 + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -60*c**2 + 5*c. Let i(o) = -o**2 + o. Let m(j) = 21*i(j) - 3*u(j). Solve m(z) = 0 for z.\nAnswer: -2\/53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -106 (b) -0.3 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14169 - -14168. Put 7, j, -9, 3, 1 in descending order.\nAnswer: 7, 3, 1, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**3 + 0*h**2)*(9 - 7 + 2) + 9*h**3 - 10*h**3 - 15*h**3.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-25) - 52\/(-10). Suppose 6*u - 15 = n*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/1300*90\/1215?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241877.\nAnswer: 241877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -7. Suppose -15*o + 300 = -5*o. Let t = o + a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/16257 + -32504\/81285. What is the second smallest value in s, -38, 2\/7, 4, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t**2 + 2*t + 2101. Is v(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179416.800824 + 179285.8. Let u = 131 + w. What is u rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let u be i(-15). Let l = -11 - u. Solve 0 = 2*f - l*s - s + 5, -3*s = 4*f + 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, p: 4, o: 1}. What is prob of picking 2 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdvr when four letters picked without replacement from {s: 1, l: 2, d: 2, v: 1, w: 1, r: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.5 - -0.5. Let v = l - 6. Which is the nearest to 0.1? (a) 3 (b) v (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842445 to the power of 1\/2, to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3658105)\/(-88) + 21\/(-56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.26 + 11. Let w = n + 0.76. Which is the smallest value? (a) -0.2 (b) -10\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3417*-2\nAnswer: -6834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7 - 1. Let z(r) = 1 + 1 - 5 - 3*r + c. What are the prime factors of z(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 35*s**2 + 34*s - 147. Is f(35) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = -5*k + 3*j, -434 - 251 = -5*k - 5*j. Suppose -42 = -6*v + k. What is the remainder when 66 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwisw. Give prob of picking 1 s, 2 w, and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048582727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + p + 1. Let r(o) = -176*o**2 - 11*o - 11. Calculate 2*r(x) + 22*w(x).\nAnswer: -308*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 20 = -y. Suppose 0 = -5*x - y + 46. Suppose 0 = f - x + 6. Solve -f*u + 17 = -8*u + 4*h, u - 11 = -4*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 3 + 0*j**2 - 1 + 6*j**2 - 8*j**2 + 16*j**2 + (-5 + j**2 + 5)*(-5 + 4 - 1) - j**2 + 4*j**2 - 2*j**2 as b + r*j + s*j**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -4. Let f(p) = 42*p**4 - 54*p**3 - 62*p**2 + 24*p. Let h(k) = -14*k**4 + 18*k**3 + 21*k**2 - 8*k. Let y(l) = c*h(l) + 3*f(l). Solve y(v) = 0 for v.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 18 (b) -9 (c) 16\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 + -9. Let k = s + 3.5. Which is the closest to k? (a) -2\/5 (b) 10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63351255, 126702510, 190053765, 253405020, 316756275?\n\"Answer: 63351255*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 10:08 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 43 = 2*i - 5*u, 2*i - 33 = u. Let l be (-3 - 0)*(100\/i)\/5. Which is the closest to 3? (a) l (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.5111 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -77*p**6\/360 + 13*p**3\/3 - 28. Let l(z) be the third derivative of t(z). Let y(x) = -x. What is l(y(k))?\nAnswer: -77*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 55*b**2 + 10667*b - 192338. Give t(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-1))\/(-1*2). Let o = 2 - 0. Suppose 3*p - 6 - 3 = 0. Put o, p, k in descending order.\nAnswer: p, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q + 55*q - 23*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2*h**(-1\/4))\/(h**(-3\/2)*h**(1\/5)))**(-17))**(5\/6) assuming h is positive.\nAnswer: h**(-1037\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -35403.9 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(4 - 105\/25). Let v = -12 - r. Solve -z - v = -0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2375\/40)\/(-5))\/(2130\/(-568)).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*i**3 + 38865*i**2 - 38865*i**2 - 54*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1433401 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let h(t) be the third derivative of -t**5\/30 + 5*t**2. Give g(h(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478414 is divided by 1478400.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**2 + x**2)*(0 + 0 - 2) - 3*x**2 + 2*x**2 + 2*x**2 + (4*x + 3*x - 3*x)*(x + 0*x - 2*x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 150\/203893 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 95, -0.5, 0.3, -25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.92 + -0.08. Let n = l - -12. Sort 2\/15, -4, n in decreasing order.\nAnswer: n, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -b + 12, -1 = -4*b + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*m - 11 = 11, -3*i = 2*m - 16. Suppose -p - 46 = -5*w, i*w + p = 2*w + 17. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36502 (base 7) to base 13.\nAnswer: 4435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -44\/217?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 + 4*q**2 + 7*q**3 - 9\/2*q - 1 - 5\/2*q**5 = 0. Calculate q.\nAnswer: -2, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14 + 1 - 2 + 3*m. What is the tens digit of b(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 42*r = -15. Suppose -r*l - 1009 = -259. Which is bigger: -51 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045787 - 273389 = 60*n - 192462. Is 48 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 4*q**4 + q**4 + (-2*q + 4*q - q)*(0*q**3 - q**3 - q**3) - q - 2*q**4 + q - 37 + 5461927*q**4 - 5461928*q**4 - 138*q**3 - 283*q**3.\nAnswer: -7*q**4 - 421*q**3 - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 13*c**2 - 15*c - 11. Let x be k(-14). Let o(j) = 2*j**3 - j**x - 3*j + 3*j**2 + 1 + 0*j. Calculate o(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:31 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + 0.63462633528876.\nAnswer: -0.26537366471124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5124703 divided by 31\nAnswer: -165313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 4, y: 2, j: 3}. What is prob of sequence wy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from aegma.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:41 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/4 + 8*s**3\/3 + s**2 - 6*s + 12. Let v be 2\/(-11) - (938\/(-77) + 4). Determine c(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose k*i - 177 = -53. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 3*k**2 - 30*k + 9. What is the remainder when 34 is divided by i(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535063 is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 605300608 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363005 is divided by 303.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a0 + -3891?\nAnswer: -33b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 12 - -14) + (-1 + -2 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -21. Suppose c*x = 9*x + 2. What is the closest to x in 3\/4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 9. Let j be i(-3). Sort j, -8, -1.\nAnswer: -8, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -787. Does 23 divide (b\/(-6))\/(3\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -9, 403 = 2*s + q + 410 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095107 rounded to six decimal places?\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 16*m**2 + 14*m + 22. Calculate c(17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 176 = 14*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 1725, 2, -5173 in descending order.\nAnswer: 1725, 7, 2, 1, -5173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {o: 3, f: 1, y: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 43 = 8*d. Let b = d + -5. Solve -u - b = -g, 4*u = -2*g + 13 + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014585 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042410 (base 7) in base 16?\nAnswer: 1f48e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -13591\/5 - -2709. Let q = -461\/55 - l. Find the common denominator of -22\/69 and q.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1215 - -593. Let r = 4323\/7 + z. Let g = 1769 + -7131\/4. Find the common denominator of g and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 44 = 4*f, 2*f + 76 - 8 = 4*q. Let a = -13 - q. Let b = -19 - a. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 779 - 2965. Suppose 4*p = -694 - 166. Let j = i + p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212111 (base 5) in base 8?\nAnswer: -15764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 11) to base 13.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**9\/756 + b**6\/60 - 2*b**3 - 5. Let y(a) be the third derivative of q(a). Find the third derivative of y(d) wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 + 0.05. Let a = -0.031 - 40.969. Let s = a - -41.1. What is the third biggest value in -13, s, j?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-252)*(-27)\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33815897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0367*-69.932.\nAnswer: 2.5665044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*m + 181*m = -70. Suppose 3*g + 6 = 0, -5*g - 32840 = 3*l - m*g. Round l to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvgccvegvwcvg. Give prob of sequence vc.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25826, -25829, -25832, -25835, -25838?\n\"Answer: -3*u - 25823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 32*y - 43. What are the prime factors of b(19)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 2, u: 3, h: 6, c: 1, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*o - 176 + 152, -8 = -2*z + 2*o. Solve -4*i + 22 = z*w - 10*w, -3*w + 3*i - 21 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + 1. Let r(u) = 2*u**3 - 6*u**2 - 3. What is -3*k(b) - r(b)?\nAnswer: b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.09 + -0.09. Let c = -1.8 - 2.7. Let n = h + c. What is the nearest to -1 in 0.2, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6 and -50\/1463409.\nAnswer: 2926818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94\/11 + 421\/66. What is the common denominator of b and -145\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**2 + 133*d + 38. Let i(w) = -8*w**2 - 134*w - 40. Suppose 6*a + 30 = 6. Let u(s) = a*x(s) - 3*i(s). Factor u(h).\nAnswer: -2*(h + 16)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*c - x, 0 = -c + 5*x + 3 + 2. Sort 1, c, 4, 2 in increasing order.\nAnswer: c, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 - 159*c + 51. Let x be r(-23). Let f(z) = -z**3 + 7*z**2 - z - 1. What is f(x)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 6, v: 4, e: 2, p: 2}. What is prob of picking 2 e?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -96, 5.\nAnswer: -96, -10, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -156 + 52 + 10*g + 50 + 54. Let n(h) be the third derivative of h**6\/360 - h**3\/6 + h**2. Let d(u) be the first derivative of n(u). What is d(x(w))?\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:53 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2\/41, -2, -0.3, -2\/101, 5, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 2*a**2 - 1. Let f be j(-3). Suppose 0 = -q - q + f. Suppose -2 = 2*g + 8, q*g - 65 = -5*n. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -520.4593356 to the nearest integer.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4168140, 4168144, 4168148, 4168152, 4168156, 4168160?\n\"Answer: 4*u + 4168136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 8*i**2 - 7*i - 3. Let y be m(7). Let d be (y\/20)\/((-8)\/40). Which is the third smallest value? (a) 5 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, q: 7, j: 4}. Give prob of picking 1 j and 1 q.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 110*z**3 + 13*z**3.\nAnswer: 129*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(63\/(-12))*18. Let p be ((-3)\/12)\/((-9)\/x). Let y = -7 + 10. What is the third smallest value in p, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -26. Let g(m) = -2*m - 18. Let h be g(i). Let r(k) = -k**3 + 7*k**2 - 7*k + 6. Let u be r(h). Solve 0 = -p - u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31216 - 30226 = -110*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 6)*(273*u - 121*u - 131*u) to l*u + d and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/33))**(-2\/67) assuming y is positive.\nAnswer: y**(2\/2211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g - 31*g**4 - 2*g**2 - 46*g**4 + 76*g**4 - 2*g**3 to q*g**3 + a + u*g + t*g**2 + k*g**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(76\/(-6))*(-8)\/(-6). Suppose 0 = 5*d - 2*p + 6, 15 = -2*d - d + 5*p. Which is greater: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336360 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/36 - 49\/(-6). What are the prime factors of (m\/(-6))\/((-10)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8865 by -9.\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1014.4 + -1013.4. Which is greater: 0.6537 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 457 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/40 + v**5\/4 - 3*v**4\/4 - 2*v**2 - 41*v. Suppose y(f) = 0. Calculate f.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1587 is divided by 548?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 877\/7 + 6\/(-21). Suppose -i = 9*f - 14*f. Solve 5*l + 0*l = f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/80 + (-28)\/40 + 2\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 129325705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 e when four letters picked without replacement from bbhyhhbehbfffybhbb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 14*f**3\/3 - f**2 + f - 1. Suppose -5*o = -2*v - 3, 2*v + 2 = -o + 5*o. Is a(v) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298762 >= 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 426.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(1\/(-5)*(-1000)\/800)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 2*a = 1251. Let j = -116 - a. Let c(l) = l**2 - 20*l - 60. What is the remainder when 26 is divided by c(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 710?\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 6*f**2 - 5. Let z be 140\/(-8)*(14 + 4 + 2). Let y = -334 - z. What is the remainder when s(7) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 7*i**2 + 5*i - 1. Let f be k(5). Suppose -c = -f + 8. Does 33 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 20. Suppose -3*k + 5*k + 8 = y. Is (-7)\/(14\/k) - -147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 6010704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:03 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -565, -2304, -5217, -9304?\nAnswer: -14565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 207e (base 16) to base 12\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320754?\nAnswer: 2, 660377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0\/21)\/(10\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70044 + -70043.97. Let m = -9 + 4. Let c = 8 + m. What is the biggest value in -1\/6, p, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 2*l + 4. Let q be c(-6). Let u be (q*8)\/((-5)\/6500). What is u rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3684 - -3691. Solve -2*r = 2*d - 6, -3*r = 6*d - d - q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 680875*n**2\/4 + 1021309*n\/2 + 340436.\nAnswer: (n + 1)*(n + 2)*(n + 680872)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-3))\/(-4))\/(-14*1\/(-588)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1813, -4132, -6595, -9196, -11929, -14788, -17767?\nAnswer: -20860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*w + 430, -4*w + 3*o - 8*o - 555 = 0. Let s = w + 208. Suppose -5*q = -x + 3*x - 67, -5*q + 2*x + s = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968551060 is divided by 32285035.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/48)\/(15\/(-30)) - 20\/16\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8820 by 9.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24069 + 24074. Let t be 6\/(-3) + 22\/7. Let h = -0.2 + -0.8. What is the third smallest value in z, t, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i**2 - 21*i**2 - 54*i**2)*(2 - 2 - 2) + (i + i + i)*(i + i + 0*i).\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.7 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13227643 (base 8) to base 5\nAnswer: -1224230230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-12 - (-3 + -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -10*l + m + 15736, -5*l = 2*m - 26245. Suppose 0 = 19*d - l - 6742. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*c = 2, -4*h - 10 = 2*c - 36. Suppose -q = 2*w - 496, -11*q = 5*w - h*q - 1242. What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 7\/6*p**3 + 5*p - 1\/2*p**2 + 0. Is 13 a factor of w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-244 - (-68 - 64)) + 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (-15 - (8 + -15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -256*z**3 + 12*z**2 = 0?\nAnswer: 0, 3\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/4)\/((-2171)\/1336).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 39. Let u be q\/(-9) - (-2)\/6. Solve 5*d + 16 = u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31a25a64 + 5?\nAnswer: 31a25a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3600870 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u - 3. Determine k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74981.1 millilitres?\nAnswer: 74.9811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 540*h**2 + 396.\nAnswer: 1080*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3701 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/11*2\/(-4)*1936\/(-1452)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 + 410*f**2 - 701*f**2 - 8*f**3 + 291*f**2 + 223.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -64. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -41659?\nAnswer: 41662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 4481196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*p - 13, p - h = 2*p - 11. Let a(r) = -5*r + 8. Let m be a(-11). Calculate the greatest common factor of m and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.4546 days in nanoseconds?\nAnswer: 4359277440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - -1*sqrt(153)) + (sqrt(102) - (sqrt(102) + sqrt(102)*1))\/sqrt(6) - -2*(-1 + sqrt(1088))*6)**2.\nAnswer: -2376*sqrt(17) + 166761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 12*k - 9. Let n be x(-13). Suppose 0*a = n*a - 96. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -24*v + 9 + 11*v**2 - 64*v**2 + 21*v**2 + 2*v**3 + 10*v**2. Give p(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232*-3017\nAnswer: -699944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(28)\/(sqrt(4) + sqrt(144)) + 0 + ((sqrt(28)\/sqrt(4) + sqrt(7))**2 + 3)*-1).\nAnswer: -4*sqrt(7)\/7 + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*m + 34*m - 3*m**2 + 51*m + 38*m + 36*m - 2 to the form l + v*m**2 + o*m and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a millennium in centuries?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 + 249. Let x(d) be the first derivative of -3*d**c + 5 + 3\/4*d**4 + 0*d + d**3. Find k, given that x(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -14. Let p = h - -18.1. Which is the closest to 0? (a) -3\/4 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)*1*1 + sqrt(225))\/(sqrt(80)*-2) + ((sqrt(245) + (sqrt(245) - 1*1*sqrt(245)) + (sqrt(245)*-2 + -2 - sqrt(245)))*1)**2.\nAnswer: 221*sqrt(5)\/4 + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38785250?\nAnswer: 2, 5, 7, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 0.3 (c) -4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 406630.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + ((sqrt(187) + sqrt(187) + ((sqrt(187) - 1*sqrt(187)) + sqrt(187))*1 + sqrt(187))\/(sqrt(99)*-4))**2 + 0.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 - 64*i + 187. What is j(3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 0.5 (c) 0.3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 451233953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*q - 396 = -849*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*r**5*x + 356469*r**3*x - 2*r**2*x - r**2 - 1294*r*x - 345*x + 1 wrt r.\nAnswer: 8520*r**2*x + 2138814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 127 = -330*a + 329*a, -12*a + 253 = 5*x for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 6*(sqrt(99) + (sqrt(99) - 5*sqrt(99))))\/(-2*sqrt(9)*1).\nAnswer: 17*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**5 - 4176*x**4 - 1481384*x**3 - 187991936*x**2 - 3358660404*x - 3172145680 = 0.\nAnswer: -341, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -3)\/(4 + -3). Suppose -2*y + 5*c + 8 = -f*c, 0 = -4*y - c + 16. Differentiate 1 - 13*k**y + 15*k**4 - 3 with respect to k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4246589754?\nAnswer: 2, 3, 11, 88261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 8}. What is prob of picking 1 q and 1 t?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 65 = -8*l. Suppose l*h + 44 = 28*h. Which is the closest to h? (a) -0.2 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let t = s + -1.2. Suppose 150 - 13 = 173*o - 36. What is the nearest to -0.1 in o, t, 0.09?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -243, -239, -239, -243, -251, -263?\n\"Answer: -2*z**2 + 10*z - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.8 + 6.2. Let p = 18.2 - b. Let s = p - -0.79999751. What is s rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19.0449 (b) -3 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-4347)\/(-46)))\/((-3)\/6)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {x: 1, f: 4, q: 1, s: 1, z: 1, o: 4}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 11*h + 9. Let k be u(-12). Which is the closest to 1\/3? (a) 2\/9 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 4*o - 80. Solve 2 + 2 = -2*h - 2*j, -2*j - o = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9477, -9453, -9407, -9333, -9225, -9077?\n\"Answer: t**3 + 5*t**2 + 2*t - 9485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*v + 210 + 179 = -49 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16070 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*g + 3*m, -5*g - 4*m + 68 = -g. What is the units digit of 45\/g*(-16)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9981*v**4 - 56*v**2 + 3 wrt v.\nAnswer: 239544*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(75) - (1 + sqrt(75))*-1) + (-1*sqrt(75)*3 - sqrt(75))))**2.\nAnswer: -20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*q**3 + 278*q**2 - 14651*q + 1078 = 0. What is q?\nAnswer: -14, 7\/95, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + k**2 + 0*k**2 + (7*k**2 - 3*k**2 - k**2)*(0 + 5 - 3) + 3*k**2 - 34*k + 34*k + 3*k**2 - 2*k**2 + 0*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.75 and -0.3424955599.\nAnswer: -14.0924955599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 132*i - 1312.\nAnswer: 4*(i - 8)*(i + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3 + 3 - 36*g**2 + 27*g**2. Let q(y) = 8*y**2. Determine q(p(u)).\nAnswer: 648*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -102, 3, 395, -4 in decreasing order.\nAnswer: 395, 3, -2, -3, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -11217779\nAnswer: -52\/11217779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zezs when four letters picked without replacement from {s: 4, z: 8, e: 2}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/15 + s**5\/20 - s**3 + 7*s**2 - 14. Let k(w) = w**3 - 1. Suppose -a = 4*a + 30. Determine a*k(m) + v(m).\nAnswer: 2*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3895985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/356 and -107\/1031530.\nAnswer: 183612340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 154212165?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-375)\/(-100))\/((-1)\/8*-1). What is the units digit of (-6)\/x + (-2)\/10*-901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 34884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1092 and -173\/84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112102101101010 + -1?\nAnswer: 2112102101101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*h - 5, 3*y + 426*h = 421*h + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -770 by 35.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 11*p**6\/180 + 371*p**5\/40 + 160*p**4\/9 - 167*p**3\/3 - 100*p**2\/3 + 6726*p. Let y(b) = 0. What is b?\nAnswer: -100, -2, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-1))\/7)\/(68\/(-68)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(10\/(-4))*-6. Let s = 17 - k. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20535974 divided by -7?\nAnswer: -20535974\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(176) + 5 + -4*(sqrt(1331) + 3*sqrt(1331)))*5)**2.\nAnswer: 8135600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/22172202 and -8\/143?\nAnswer: 243894222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 897323.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1218*k**6*n**3 + 6*k**3*n**3 + 4*k**2*n**3 + 4*k**2*n - 63*n - 1 wrt k.\nAnswer: 146160*k**3*n**3 + 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6799 and -0.31.\nAnswer: 2107.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5*y + 2)*(8 + 366 + 9 + 53) in the form j + z*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 484038.\nAnswer: 1\/161346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d - 12. Let y be z(3). Solve -4*p = -0*p + y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 at most as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9107.\nAnswer: 7, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.5 (b) -1\/2 (c) -1 (d) 4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1409780921 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -0.3 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234330*f - 228*f**2 - 234330*f)*(4*f - f**2 - f - 2*f**3 - f).\nAnswer: 456*f**5 + 228*f**4 - 456*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4271*j - 36631 = 28927 + 152263 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -15 (b) -1\/5 (c) 1\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7))\/((f\/((f*f**8*f*f)\/f*f))\/f*f))\/(f**(-2))**22*(f**(-4\/9)*f**(-7)\/f)**(-2\/103) assuming f is positive.\nAnswer: f**(359813\/6489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105 - (79 + -23)) + -7?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*r - 4. Suppose s - 5*b = -r*s + 1943, 0 = 2*s - 3*b - 1294. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**3 + 45*f**2 + 11*f - 16. Suppose -4*s = 0, -70*b - 69*b = -137*b + 4*s - 22. Let q(a) = 3*a**3 + 9*a**2 + 2*a - 3. Determine b*q(w) - 2*y(w).\nAnswer: w**3 + 9*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*g + 232*g - 10 = 0. Solve -n = g, 3*u - 7*u - n = 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, -1, 3613.\nAnswer: -3, -1, 4, 5, 3613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294197 is divided by 186.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6105975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 75*c + 6461. Give q(36).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3\/8 - 21*q**2\/8 - 33*q\/8 - 15\/8 = 0. Calculate q.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 1\/3905, 0?\nAnswer: 1\/3905","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v - 23*v + 2*v + 77*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 2374.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -546*i - 974. List the prime factors of g(-28).\nAnswer: 2, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*(-96)\/168.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 149*a - 2269. What is n(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (18 - 11) - (0 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1457, 2, -5, -1 in descending order.\nAnswer: 1457, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -664 - -659. Sort -0.3, 4, 0.3, h in decreasing order.\nAnswer: 4, 0.3, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 81\/20 - 72\/18. Let n(v) be the second derivative of 0 - v + g*v**5 + 0*v**2 - 1\/6*v**4 + 0*v**3. What is the third derivative of n(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 24*n - 20*n in the form s + z*n and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (18 + -9 + -13 - -4). Solve -8 = 2*n, -33 = 13*t - 8*t + r*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6 + 12*w**2 + 4*w + 2*w**3 - 3*w**3 + 2*w - 14*w**2. Let a(p) = 7*p**3 - 36*p**2 + 3*p + 6. Let i be a(5). Determine h(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/4 + 10*f**3\/3 - 21*f**2\/2 - 11*f + 37. Let m be i(-11). Let z = m - 75. What is the remainder when z is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -22504117?\nAnswer: -900164.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.2 (b) 0.073 (c) -0.02 (d) 2.7 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16))\/((-442)\/(-408))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0 (b) -0.2 (c) 3\/70 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6 - 22*t - 11 + 11. Let k be n(-4). Let m = 151 - k. What is the highest common divisor of m and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54000352 divided by -3857168?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -0.72. Let h = -85716053.73000049 - -85716053. Let g = h - z. Round g to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 463887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.9 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u + 8. Suppose -3*j + 7*j - 20 = 0. Suppose 0 = 5*w - 5*g + 5, -5*w - 3*g = -0 + j. Put 2, u, w in decreasing order.\nAnswer: 2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1019*m - 2442. What is the units digit of y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 49\/5 (b) -1 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 406 - 518786.\nAnswer: -518380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 54, 4, 0, 26 in ascending order.\nAnswer: -25, 0, 4, 26, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.45. Let z = -0.9 - v. Let a = z - -0.6. What is the nearest to -1 in -0.3, a, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 48*m + 140. Give y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.818 rounded to 2 dps?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30107 and 6?\nAnswer: 180642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = -5. Put -4, -2, b in increasing order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -843.\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.152 - -0.122. Which is the third biggest value? (a) 5 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 3*u - 25. Let x(l) = -l**2 - 3*l - 3. Let f(p) = -5*p**2 - 17*p - 17. Let h(z) = u*x(z) - 6*f(z). Let d(j) = 2*j. What is h(d(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + 6*j = -308 + 76 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 - 1. Suppose 4*m + 2 = 6. Let z be p(m). Is (z + -1)*20\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061164 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7740, 7739, 7748, 7773, 7820?\n\"Answer: o**3 - o**2 - 5*o + 7745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (3 - (6 - 9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5789*r + 2656*r = -109655 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1903, 3888, 5921, 8026, 10227?\n\"Answer: 4*s**3 + 1957*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 135\/8 (b) 2\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.40691km to millimeters.\nAnswer: 20406910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -12. Solve 3*z + 0 = c, b + 1 = 3*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76206055.\nAnswer: 5, 19, 29, 139, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7970355617?\nAnswer: 7, 5279, 215689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 233728\/121 - (-1 + 3). Let f = -1928 + l. Let d = -41 + 371\/9. Calculate the common denominator of d and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**5\/30 + 107*z**4\/2 - 54*z**2 + 4. What is j in t(j) = 0?\nAnswer: -642, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s*u*w**2 - s*u*w + 4*s*w**2 - 19*s*w wrt u?\nAnswer: 2*s*w**2 - s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/v**(3\/2))\/v*v)**3 assuming v is positive.\nAnswer: v**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 0 = -5*h + m*h + 78. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - -14)\/(-2))\/1 + 9. Factor 4\/15 + 2\/15*k - 2\/15*k**j.\nAnswer: -2*(k - 2)*(k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 429407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-14)*(-42)\/(-12). Let t = 22 + -17. Let a be 1 - (5\/(t\/n) - 1). Solve -a*f - 1 + 9 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 39*v = -80 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 99 = -2*v, 5*v + 2*n = 320 - 70. Is 2 + (-3)\/(-6)*v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n. Suppose n = 3*d - 5*p + 6, -3*d - p = -4*d - 2. Let o = d + 2. Solve 9 = -o*s - 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-406)\/(-16) - 18\/48. Suppose 0 = n + l - 26. Solve 0 = -5*s + 3*y + 25, s - 4*y - 6 = -n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201 + 12?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + x + 3*x)*(x**2 - 6*x**2 + x**2) + (58*x - 389*x + 149*x)*(-2*x**2 - 2*x**2 + 2*x**2) to h + t*x**2 + l*x**3 + r*x and give l.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - 3. Let x be -3 - 0 - (-19)\/(-6). Let f = x - -419\/66. Which is the second biggest value? (a) d (b) f (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 1. Let k(d) = 1. Let p = -27 - -57. Suppose 0*r + 5*r = -p. Let f(a) = r*k(a) + 2*v(a). Differentiate f(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + v, -16 + 53 + 9 = -n + 15*v - 0 - 47 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -853 + 859. Let x(a) = a + 1. Let t(w) = 11*w + 7. Determine z*x(d) + t(d).\nAnswer: 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 14*n**2 - 15*n - 19. Let z be c(-13). Suppose -z*b = -4*b - 6. Solve 0 = b*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**18)**(-4\/11) assuming h is positive.\nAnswer: h**(-144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 109*a**3 - 13*a**2 - 5*a - 3. Is 27 a factor of u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:20 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1052149 and 8932?\nAnswer: 46294556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 32\/(4 - 3). Suppose -6*a + a = -n. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/23 - 2335\/92. Do m and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2030 + -1811. What is the highest common divisor of 803 and v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-3)*(-19584)\/4080)\/((-5)\/6)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t + 72 = -4*a, -3*a - 39 = 2*t. Let v be 2\/(3 + t\/6). Let r be -1 + 3 - 4\/2. Solve -20 = -r*u + v*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -16708*i + 150354. What is k(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10951 - 1.\nAnswer: -10952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2121.641*60\nAnswer: -127298.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4864 - 4859.366. Round h to one decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552438886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 124655310.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -769, -809, -877, -973, -1097, -1249?\n\"Answer: -14*h**2 + 2*h - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157659980 a multiple of 1212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let s = -9 + 10. Let f(q) = 8 + q - s - q**z + 2*q. Give f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 10. Let v(a) = a**3 + 5*a**2 + 4*a + 126. Let x be v(-7). What is the biggest value in 3, s, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 17 + 13. Suppose -b + 48 = -4*z, b + 4*z - 144 = -4*b. Suppose a - b = -m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 4*m + 3. Let a be x(-3). Suppose -4*g = -a*g - 528. Let z = 24 + -12. Calculate the greatest common divisor of z and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129\/19)\/((-23757)\/300922).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**5 - 2*x**4 + 807*x**3 + 3*x**2 + 975*x - 438.\nAnswer: 80*x**3 - 24*x**2 + 4842*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 31*l - 12443996 = -32*l, 0 = -3*t + l + 18666004. What is t rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7420024 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121.95 + -115.403. Round n to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/88 and -9\/1376.\nAnswer: 15136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 40 = l - 4*f, 5*f = -10. Suppose -2*u + l = o + 6, 0 = -2*o + 4*u + 36. Calculate the highest common divisor of 198 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103883 at least as big as 2103883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11883 is divided by 118?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1206167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220 + 4578*z - 4580*z - 220.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11.2 or 13.4?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let a(n) = 23*n - 5. Let v(f) be the first derivative of -12*f**2 + 6*f - 75. Let r(y) = -6*a(y) - 5*v(y). Determine r(j(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -944bcc (base 13) to base 14.\nAnswer: -663532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f**4\/15 + 50*f**3\/3 + 2*f**2\/5 - 170*f\/3 + 572\/15 = 0. Calculate f.\nAnswer: -11, -26\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22\/7 + 9\/14. Put 0.5, -4, m, -0.5 in decreasing order.\nAnswer: 0.5, -0.5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 - -11926c?\nAnswer: 11929c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 369. Let o(b) = 2*b. What is o(y(p))?\nAnswer: -6*p - 738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:33 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197508171.\nAnswer: 3, 7, 1343593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*j - 5, -i = j + 3*j - 1. Which is the biggest value? (a) -0.5 (b) -2\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z**2 + 57*z**2 - 1640*z + 51*z**2 + 1639*z to the form g*z**2 + i + t*z and give g.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 5*v + 21 = 8*z, 4*v + 7 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 11. Let c be 18\/(-4) - (-15)\/(-10). Let v be n(c). What is the tens digit of ((-12)\/(-15))\/(v\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-3\/2))\/(t**9\/t))**39*((t*t\/(t\/(t*t*t**(2\/9))))**(-47))**(3\/7) assuming t is positive.\nAnswer: t**(-15011\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25635 - 20462 = 284*k - 44527. Calculate the remainder when 600 is divided by k.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -17088*i - 751887. What is g(-44)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10342\/5 + -341456\/165. Find the common denominator of f and -29\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/3750*(-230)\/(-23)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8, 3*c - 1460 = 186*p - 190*p. Calculate the remainder when 734 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. Let d = g + -2. Suppose 2*r + 0*r + d*p - 57 = 0, r + 4*p = 41. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 7*i**2 + 8*i + 16. Let x be p(-6). Find the third derivative of -20*o**5 - 433*o + 432*o - 3*o**x - 19*o**2 + 2*o**5 wrt o.\nAnswer: -1080*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1863.2 nanoseconds?\nAnswer: 1.8632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 373.\nAnswer: -4849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81.257 + 81. Let k = -1.767 - y. Round k to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-22)\/165 - 57\/(-90)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 + -4.67. Which is the nearest to -2\/7? (a) 0 (b) u (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38324790509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v + 18. Suppose 72 = -17*b - 13. Let u be d(b). Solve 1 = 9*m - u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -806 + 427. Let w = n + 589. Does 42 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**11*a**(1\/18) assuming a is positive.\nAnswer: a**(217\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/13*j**4 - 20\/13*j - 34\/13*j**2 - 16\/13*j**3 = 0 for j.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/3)*(q**(-1\/3)*q)\/q*q)**12*(q\/q**2)\/(q*q**(3\/5)*q)*q*q\/(q\/(q**3*q))*q*q*q\/(q*((q\/(q**(-1)\/q))\/q)\/q*q)*q assuming q is positive.\nAnswer: q**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Let k(i) = 2*i. Let s be k(y). Suppose -15*b + 202 = 6*b + 13. Solve s = 2*p, 3*x - b = -3*p + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 499*b*s**2 - 50*b*s - 45*s**4 + 15*s wrt s?\nAnswer: 998*b - 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20065 equal to -27798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1682646 by 6.\nAnswer: -280441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 28 - 5*t**2)*(-8*t + 0*t + t) to m*t + l*t**3 + d + u*t**2 and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 6. Suppose -t - 3 = -6. Let n be c(t). Let g be 52\/60 + (-168)\/90 + 2. What is the third smallest value in -0.2, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/125 and 5\/4622028?\nAnswer: 577753500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*g - 4, -2*o - g = -0*g - 12. Let p = -91 + 94. Suppose 6*h + 15 = h + p*c, 2*c - 10 = -o*h. Solve -2*b + 1 + 3 = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.036614864.\nAnswer: 0.0073229728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6145566 (base 7) to base 9\nAnswer: -1338253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1921 + 81ccc?\nAnswer: 803ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 0.23836\nAnswer: 0.13836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21463332802 + 143.\nAnswer: 21463332945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/3)*h*h)\/h*h)\/h*h**13*(h*h**(1\/8))\/h*h*h\/(h\/(h\/h**(2\/25))) assuming h is positive.\nAnswer: h**(10627\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 67*h**2 - 3.\nAnswer: -67*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -5*u**3\/6 + 10*u. Let o(v) = v**2. What is o(x(k))?\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1656.276 to the nearest 10.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -6*o + 8*o. Calculate the greatest common factor of 860 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = t + 2*t + 13, -2*t + 5*i = -6. Let u be t\/2 - (-4)\/(-8). List the prime factors of 22\/3*(-6)\/u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/126 and -109\/1904.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16181, 32487, 48939, 65537, 82281, 99171, 116207?\n\"Answer: 73*j**2 + 16087*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 1\/5*m**4 - 9*m + 9\/5*m**3 + 28\/5 + 7\/5*m**2 = 0.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from opoophoopococp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwww when four letters picked without replacement from ddwwwwwdwdwwwwdw?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5927.995 nanometers?\nAnswer: 0.000005927995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 12.2, 463, -1.76, 0 in decreasing order.\nAnswer: 463, 12.2, 0, -0.1, -1.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 178 - 178 to the form m + b*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8673.491 decades?\nAnswer: 86734.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4670, 4669, 4668?\nAnswer: 4667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*v + 45 = -a, 4*a = -5*v + 67. Is 13 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 10*r = -48. Suppose q + 11*q - r = 0. Solve j - 1 = q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315818 (base 9) in base 11?\nAnswer: 119296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 47.5. Which is the third biggest value? (a) 5 (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1028735 (base 10) to base 15.\nAnswer: -154c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 4. Let v = 3 - -1. Suppose 4*u - 5*u = -v. What is s(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1680 by 420.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 14*n - 11. Let w be a(-15). Suppose -w*d - 6 = -18. Suppose d*v + l = 6*l + 633, 0 = 4*v + 4*l - 844. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27622628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 1, -1 in descending order.\nAnswer: 5, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -7*s**4\/24 + 5*s**3\/6 - 7*s**2. Let w be r(-5). Calculate the greatest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -4*d - n + 41, 4*d - 200 = -4*n. Suppose -42 = -4*g + d. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y*y*y)\/y)**(34\/9)\/((((y*y\/y**(-21)*y)\/y)\/y)\/y*y**(-2\/33)) assuming y is positive.\nAnswer: y**(-1699\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21002221002021 - -1200?\nAnswer: -21002221000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 720112 bigger than 7201131\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 - (-3)\/9. Let l be 2\/13 + ((-36)\/(1656\/(-161)))\/(26\/10). Which is the biggest value? (a) -3 (b) -7 (c) w (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14, 1\/3, -2, -0.4, 1\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4\/7 + 288*a**3\/7 - 2487*a**2\/7 - 8658*a\/7 + 56760\/7 = 0. Calculate a.\nAnswer: -5, 4, 11, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*(u**(-8)\/u)\/u)*u*u**(2\/9)*(u\/(u*(u*u\/(u**0\/u))\/u))**24 assuming u is positive.\nAnswer: u**(-331\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6296939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1526 - -1525. Sort -30, 0.3, 2, v in increasing order.\nAnswer: -30, v, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 531 - 534. Put -2, 7, p in decreasing order.\nAnswer: 7, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116771 or 39?\nAnswer: 116771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(176) - sqrt(22)\/sqrt(2)*-6.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**3\/2 + 3*w. Let u(p) = 2*p. What is x(u(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22048 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 31, 3, 5 in increasing order.\nAnswer: -3, -2, 3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 7*u**2 - 6*u + 16. Let l be r(-19). Let s = -6618 - l. Suppose i - 3326 = -2*i + 5*v, s = 4*i - 5*v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 73?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + -310?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 508, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -282392 and 0.6978.\nAnswer: -282391.3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -1102, -2482, -4414, -6898, -9934, -13522?\nAnswer: -17662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -5*f - 6, v + 12 = -4*f. Let u = 78 + -75. Suppose v = -5*k - m + 34, -m + 11 - 33 = -u*k. What is the smallest value in 3, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20285 + 20284 - g - 229*g in the form n*g + f and give n.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*36\/(-30) + 8\/10. Suppose h - 4*z - 486 = 0, p*z + 223 = h - 253. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2)*(1 - -1). Let o = -4 - -4. Solve -j - y*j + 25 = o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15969 + -15988. Sort g, -0.5, 1\/2, 5, 3\/2.\nAnswer: g, -0.5, 1\/2, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 14*h + 13 = 0. Calculate h.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3263 is divided by 302?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 212157*g**2 + 212154*g.\nAnswer: 3*g*(g + 1)*(g + 70718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * 17.\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1890498\nAnswer: -7561992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 11. Suppose -6*s = -2*s - 28. Let v be g(s). Let x be 6\/(-2) - 1\/(-1). Which is the third biggest value? (a) x (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129 times -40?\nAnswer: -5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510.06 times -1?\nAnswer: 1510.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/88*(-44)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/196 and 45\/7397348?\nAnswer: 51781436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(3\/7)\/m)\/m*m)\/(m*m**16\/m))\/((m\/m**(-2\/3))\/(m\/m**(-18)*m)) assuming m is positive.\nAnswer: m**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374347040?\nAnswer: 2, 5, 2339669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 18*s. Let b(l) = l**2 + 2*l - 2. Let g(u) = -2*u**2 - 3*u + 3. Let w(i) = -3*b(i) - 2*g(i). Give v(w(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-2 - 7) + -25 + 32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/6 - 3\/288*16. Suppose -8 = -y + 3*y, 0 = -2*o + 3*y + 16. Put 1, o, -6, r in ascending order.\nAnswer: -6, 1, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.3. Let f = -2072 + 2071.2. What is the biggest value in -6\/11, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((2\/22)\/(-1)). Let m = y + -6. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -4*i**4\/3 + 50*i**3\/3 - 2*i**2 + 7*i - 86. Calculate t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 + 3*i**2 - 2*i + 5. Let g(v) = 16*v**3 - 15*v**2 + 11*v - 26. Calculate 2*g(x) + 11*y(x).\nAnswer: -x**3 + 3*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 35*y**2 + 6*y. Let d(l) = -210*l**2 - 35*l. Give -6*d(z) - 35*j(z).\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 165, 249, 411, 651, 969, 1365?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.6 + 9. Let m = f + 1.1. Which is the biggest value? (a) m (b) 0.4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*s - 128 = 0, -2*r + 5*s = -r - 43. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 124 and -10911002456.\nAnswer: -10911002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 9*a + 14. Let g(l) = 5*l**2 + 8*l + 6. Let s be g(-2). Let k be j(s). Put -2\/15, -2, k in increasing order.\nAnswer: -2, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116287.\nAnswer: 103, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - q - 51 - 189 = 0, -2*q = 2*c - 246. Suppose -c = -9*b + 68. Solve -17*d = -b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d + 10. Let y(j) = -j - 1. Let t be -3*(-1 + (-4)\/(-6)). Calculate t*l(c) + 12*y(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/(-15))\/9*0. Suppose 3*f + 2*r + 0 = -8, 3*f = r + 4. Find l such that f + 4\/7*l**2 + 4\/7*l**3 + p*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147 - -3630662?\nAnswer: 3630513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/3 - 219980*k\/3 - 219983 = 0.\nAnswer: -3, 219983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/63, -7\/149, 1\/3, 1 in descending order.\nAnswer: 1, 1\/2, 1\/3, 2\/63, -7\/149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 8*v - 12. Let s be c(-7). Let i be 3 + ((-50)\/s)\/(-5). What are the prime factors of i + 160 + (6 - 3)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79792980, 159585962, 239378944, 319171926, 398964908?\nAnswer: 478757890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 29*r**2 - 36*r + 9. What are the prime factors of m(31)?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 41 = 4*m, -8953*p + 8947*p = 9*m + 90 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 58. What is the units digit of (-138)\/y + 4\/14 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -243*y**4\/5 - 702*y**3\/5 - 723*y**2\/5 - 312*y\/5 - 48\/5 = 0.\nAnswer: -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -38 in ascending order.\nAnswer: -38, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y**3 + 235*y**3 + 101*y**3 + 26*y**3.\nAnswer: 409*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -296.\nAnswer: -5\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 721065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*s + 17, 2*v - 22 = -5*s - 0*v. Suppose w = 4*i - s*w + 6, 3*i + 2*w = 7. Let n be 1 - ((-6)\/2 - i). Solve -m - 16 = -n*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 17. Let w = -3 + z. Solve w*h = 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 20*u - 15. What is the remainder when 248 is divided by q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1938 + 31.9138. Let c = t + -36. Let h = 4.2 + c. Round h to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 768, -1, -11, 0, 5 in ascending order.\nAnswer: -11, -1, 0, 5, 116, 768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -10) + -8 - 63 - 6\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -2*l. Suppose -4*c - 2*v = -2, 5*c + 4*v + l = 2*c. Factor i**4 - 3*i**3 - 7*i + 2*i**2 + 5*i + i + i**c.\nAnswer: i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 90*f - 41 + 21 to r*f + h and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 7*u**2 - 7*u - 2. Let v be a(6). List the prime factors of 4 + 0 + ((-60928)\/v)\/7.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Which is the third smallest value? (a) 1\/4 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 0*r - 2*r + (-2*r + 0 + 0)*(4 - 1 - 2) + 2595 + 569788*r - 8843 - 569787*r.\nAnswer: -2*r - 6248","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411 (base 16) to base 4.\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91\/232 - -44\/29. What is the common denominator of 27\/14 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k, 29 = -a + 2*k + 66. Let s = -32 + a. Let r(u) = 2*u**2 + 4*u + 2. Let j be r(-2). Put s, j, 5 in descending order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*g - 72, 5*g + 0 - 35 = -v. Solve 2*o - 7*o = v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 58, -43.\nAnswer: -43, 16, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/3)*h**(-7))\/((h\/(h*h**(-6))*h)\/h**5) assuming h is positive.\nAnswer: h**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -9, 13, 55, 123, 223?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, -0.07352 in decreasing order.\nAnswer: 0.3, -0.07352, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 3*g**2 - g - 2. Let n be k(-4). Suppose -2*p - 4*a = -26, -4*p + 28 = 5*a - n. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -10)\/(6 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5215120*c**5 - 152*c**2 + 440*c + 8 wrt c.\nAnswer: 312907200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Collect the terms in 5280 - 72*q + 5424 - 16125 + 5418.\nAnswer: -72*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 67. Calculate the remainder when c(0) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2 + 23. Solve -5*h = 5*k - 25, 4*k + g*h - 24 = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-12))\/((-357)\/136))\/((-476)\/4165).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1103*0.17\nAnswer: 187.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/67 in -5, -20, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 13*x - 341292 = 128928. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7367369 is divided by 2288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-5 + -2 - -3) + 0 + 6 + -29?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46.5, 21, 0.3, 0.1, 2\/3?\nAnswer: 46.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.235 in 2\/93, -1\/3, -0.8, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4029 = 8*o + 5*j, -3*o + j = -12031. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/54 and -16\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -12350\nAnswer: 37050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 30. What is v(21)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -16 + (-4 - -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + 0.03. Sort 0.02, i, 1\/2.\nAnswer: 0.02, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - y + 21 = 0, 0 = 2*h - 4*y - 5 + 1. Suppose -h*f - f - 20 = 0. Which is the nearest to -0.1? (a) f (b) -7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 536*c**7\/7 + c**6\/3 - 166*c**3\/3 + 4*c + 2226. Find the third derivative of j(k) wrt k.\nAnswer: 64320*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/78 + (0 - 50\/13). Let a be u\/(2385\/9684 + (-1)\/4). Suppose 5*d + 0*l + 3*l = 1072, 5*d - l = a. List the prime factors of d.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 9*n. Let a = -1297 - -14226\/11. Find the common denominator of a and (1 + (-4 - n))*(-69)\/(-30).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314334 (base 5) to base 2\nAnswer: 10100101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(320) - -1*(sqrt(320)*-1 - sqrt(320) - sqrt(320)))**2 + (-1 + 5*(sqrt(320) + -2))**2.\nAnswer: -880*sqrt(5) + 9398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 1 - 7*b + 3 in the form y + n*b and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75079816 and 896.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -398297 times 0.131\nAnswer: -52176.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25782151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102953054?\nAnswer: 2, 17, 3028031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249717\/765532 - 221\/1219. Find the common denominator of 47\/8 and m.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12886045?\nAnswer: 5, 617, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276 at least as big as 1184628\/277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 520*b**3 - 3*b + 163.\nAnswer: 3120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50122 (base 6) to base 14.\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -279, -275, -271?\n\"Answer: 4*c - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 less than -7859389551457?\nAnswer: -7859389551456.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -987, -0.3, -0.002, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 21*x + 61. Let j be w(-18). Solve -8*l + j = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -13. Let b = q - 9.1. Let l = -0.89999974 + b. What is l rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 + 20 = 0. Suppose 0 = -0*g + m*g - 300. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 629, 582, 527, 482, 465, 494?\n\"Answer: 3*t**3 - 22*t**2 - 2*t + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1607?\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 10*p - 2. Determine y(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkllfjzlzlfl. Give prob of sequence zlll.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2, 0.2, 1.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/161 + 107\/6923. Sort l, -0.5, -0.3 in descending order.\nAnswer: l, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -1 - (0\/(-10))\/3. Let a be 6 + (h - (-6)\/(-3)). Solve -a*g + m = 2*g + 10, 5*m = 3*g + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 v when three letters picked without replacement from vvzvmvmmrhv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 275 - 256. Suppose -26*j + 252 = -d*j. Let r be 25*((-28)\/(-5) + -2). What is the highest common factor of j and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3481 is divided by 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 12*y**2 + 18*y + 36. Is 11 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6176 - -0.62. Round a to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Let v = -7281 + 7278. Let z = 5.4 - 5. What is the second biggest value in f, v, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 77 + 3 = -110 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7746 + -7746.006. Which is the closest to j? (a) 1 (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l = 135. Let d be (-114)\/l - (-2)\/9. Let t be 51\/6 - (-2)\/d. Solve -2*n = -6*n + t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -790 divided by -79.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 918027?\nAnswer: 4590135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -143 or 104119?\nAnswer: 104119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5\/4 - 3543*l**4\/4 + 35241*l**3\/4 - 130161*l**2\/4 + 52722*l - 31617 = 0. What is l?\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -473 + 160 + m + 160 + 157. Let v be (-2)\/(-4)*-3*4. Determine h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 690976348.52 and 3?\nAnswer: 690976345.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2126.7 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16538, 16535, 16538, 16547, 16562, 16583, 16610?\nAnswer: 16643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -32) + 6\/3. Let f be (2\/(-6))\/((-6)\/c). Suppose -33 + 3 = -f*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*1 + 4)**2.\nAnswer: 80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0*a. Suppose a = -6*l + 3*l + 258. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 2*x + 1. Let j be m(-3). Let w = 3.90871 - -0.09129. Which is the nearest to j? (a) w (b) -5 (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + y + 324 - 159.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -990*q**4 - 1042*q**2 wrt q?\nAnswer: -23760*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -214 divided by 563783\nAnswer: -2\/5269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + (sqrt(475) - -2*(sqrt(475) - (-1 + sqrt(475)))).\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 53. Which is the nearest to -3? (a) 0.4 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 33*v - 633. Calculate the greatest common factor of 1534 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7727678806.97 and 0.3.\nAnswer: -7727678806.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -379401513\nAnswer: -379401522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 501*d + 509 with respect to d.\nAnswer: 501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161\/15 + 55057\/5130. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-28))\/(1*2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5808091 - 36.1814411. Let j = -35.6 - g. Round j to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 6*u - 2. Let i be f(7). Suppose 0 = -4*r - 0*r - i*k + 39, r - 8 = -3*k. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 3*c = 19*k + 6, -16 = -3*k + 8*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.058 in -2, -0.015, 48, 2\/7, -0.3?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -2*j - 0*j. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622420 is divided by 1619784?\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 46*p - 24*p + 46 - 20 - 18*p. Calculate d(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6079 or -6080?\nAnswer: -6080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y**2 - 1. Let i be q(1). Suppose t - 221 = -5*l, -5*t - 74 = -2*l - 9*t. Suppose -5*x - l = -i*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 12, -4*l - 4*t - 5 = 3. Let h be (-15)\/l + 38\/(-2). Is 3 a factor of h\/(-10)*(-10)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*216\/5148)\/(2\/(-91)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -295*-1\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:24 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 8.35?\nAnswer: 33.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*z + 24466 = -13262. What is the remainder when 1719 is divided by z?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 170 = -236. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 minus -1934438.6?\nAnswer: 1934440.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 6*x + 9. Let t be l(2). Does -1\/1109 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + -1. Let p(j) = 20*j**3 + 11*j**2 - 17*j + 6. Let d = 116 - 133. Let w(u) = -7*u**3 - 4*u**2 + 6*u - 2. Determine d*w(k) + i*p(k).\nAnswer: -k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/48063 and -30\/703.\nAnswer: 913197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c. Let f be (114\/(-4) - -6)*6\/(-15). Solve -2*h + 1 + f = c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514223 (base 6) in base 3?\nAnswer: 2002102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s**2. Let z(q) = 47*q**2 + 2*q - 45. What is z(a(x))?\nAnswer: 18800*x**4 + 40*x**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*q + 2276 = 161 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.832 + 0.492. What is q rounded to one decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + i = 14372, -4*i + 9*i + 21597 = 3*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(0 + 0 - 2*k)*(-3*k**2 + 2*k**2 + 7*k**2).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 8*s + 2. Let y be r(10). What is the highest common divisor of y and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -1, v - 17 = -5*y. Find the third derivative of r**2 - r**y + 2*r**4 + 4*r**2 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3 = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.015665 + 0.293445. Round w to three decimal places.\nAnswer: 0.309","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 3*z - z + (3 - 4 - 1)*(-z - 1 + 1) + 4*z - 2*z + 0*z + 3*z + 0*z + 38 - 32.\nAnswer: 6*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 43 - (-8 + (1 - 0)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76297327?\nAnswer: 76297327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 7*g**2 + 4*g + 5. Calculate f(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*a**3 - 4 + 2352*a**3 + 4 - 683*a**3.\nAnswer: 909*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + x + (1 + 3 - 3)*(2*x + 2*x - 3*x) + 3 + x - 3)*(-1 - 1 - 1)*(1 + 0 - 4).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 2, b: 1, g: 1, n: 1, u: 1}. Give prob of picking 1 g and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -212, -227, -242?\n\"Answer: -15*b - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a + 57*a = 21. Let x(p) = 3*p - 7. Let c be x(a). Solve c*m - 8 + 0 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - n. Let v be q(1). Suppose 4*s + h + h = 4, 4*h + 18 = 5*s. Suppose -s*d = -4*j + 4, v*d + 2*j - 6 = 4*j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3657137592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25507, -101996, -229459, -407890, -637283, -917632?\n\"Answer: f**3 - 25493*f**2 - 17*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102.947 + 0.053. Let g = r - 103.2. Which is the fourth biggest value? (a) -4 (b) 1\/8 (c) -3\/4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -176, -389, -676, -1031, -1448, -1921, -2444?\n\"Answer: n**3 - 46*n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113.26 + -113. Which is the smallest value? (a) t (b) -2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*j + 28 = -87*j. Suppose -2*t - j = -20. Calculate the remainder when 593 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*l = 128, c - 3 = 3*l + 29. Let g(s) = -2*s**2 - 9*s + 3. Calculate the remainder when c is divided by g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 573.7 - 574. Put 2, m, -0.1, 5 in ascending order.\nAnswer: m, -0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 653.2644ml?\nAnswer: 0.6532644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m = 2*h - 4, 2*h = 2*m + 6. What is the tens digit of (1\/2)\/(m\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 10 + 2. Let l be ((-3)\/m)\/((-3)\/(-12)). Suppose 2*u + 2*j - 616 = 0, -l*j = 2*u + 212 - 829. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i**3 - 3*i**3 + 3*i**3)*(2*i**2 - 5*i**2 + 0*i**2)*(-3 - 4 + 5).\nAnswer: -66*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/100 and -149\/216?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j - 28*j - 32*j**3 + 103*j - 22*j.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-48))\/((-6)\/5633624). Let r = g - 449307\/4. Let s = r - 5044. Calculate the common denominator of s and -17\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300885 is divided by 597?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, -1015952, -31 in descending order.\nAnswer: 5, 3, -4, -31, -1015952","meta":{"dup_signals":{},"source":"comparison__sort_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: Simplify (-6*2*sqrt(130))\/sqrt(10).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3541891 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 15, 26, 51, 96, 167, 270, 411?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 + 34*d**4 - 902*d**3 + 4814*d**2 - 8700*d + 4752 = 0. Calculate d.\nAnswer: -33, 1, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 2\/5, 0.3, 5, -37, -129?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 185731+92.7\nAnswer: 185823.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.029, 2, -3\/2?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:12 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12813 by 32722.\nAnswer: -12813\/32722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 44*l - 42. Let k be y(1). Solve 0 = -0*w + 2*w - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 73*h - 52 = -77*h, h + 26 = 5*f. Let q be ((-2)\/1)\/(2\/(-12)). Solve 3*v = -f + q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooure. What is prob of picking 1 r, 1 u, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away -2708.94?\nAnswer: 2719.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -7, -102, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from nnnnttntntn?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*y**2 + 1194*y**2 - 9*y**3 + 101*y - 571*y**2.\nAnswer: -9*y**3 + 101*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510\/(-250) - -10 - (-1010374192)\/425 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/8 - f**3\/2 + 19*f**2. Determine s(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - u - 7, 3*u = s - 10 - 5. What is the tens digit of (1 - -99) + -3 - s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - (-4 - 0)) + (-1012)\/(-11) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*o**6*z**2 - 950*o**6 - 4*o**2*z + 20*o**2 - 94*o*z**2 - 2*z wrt o.\nAnswer: 3000*o**3*z**2 - 114000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 555432.3 nanometers in centimeters?\nAnswer: 0.05554323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 23 - 3. Does 12 divide a\/(-16)*-2*-788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 - 2*g**2 + 2*g - 2. Let t(v) be the third derivative of 9*v**6\/8 - 11*v**5\/12 + 55*v**4\/24 - 55*v**3\/6 - 437*v**2. What is 4*t(z) - 110*w(z)?\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - 7112 - 9*s**2 + 7012.\nAnswer: -s**2 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**4 + j**3 - 2*j + 3. Let p(z) = 8*z**4 - 114*z**3 - 2124*z**2 - 9734*z + 5423. Let m(v) = p(v) - 5*w(v). Factor m(y).\nAnswer: -(y + 8)*(y + 26)**2*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i - 4*i - 21*i + i - 3*i + i - 2*i + i + 0*i + (-2 + 1 + 0)*(i - 3 + 3) - 4 + 4 - i - i + 3*i - i + 57 + 17*i - 57 - i - 4 + 4 as d*i + j and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*j + 37*j + 1037 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + -3 - (-13 - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060795.\nAnswer: 3, 5, 419, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from qxhbc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 - 347 = -3*r. Suppose -5*h + 4*s - 41 = -158, -5*h + 3*s + 119 = 0. Suppose 5*v + 3*z = -0*z + r, -h = -2*v - 5*z. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011011 (base 2) to base 4.\nAnswer: -100123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/17524965?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 233, 322, 409?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*u + 66*u + 28 - 40*u)*(3 + 2*u - 3).\nAnswer: -10*u**2 + 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/10*((-2)\/9)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 2, x: 1, p: 3}. What is prob of picking 1 p, 1 x, and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84688127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -0.1, 0.31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d - 2*s - 416 = -23*d, d + 2*s = 424. Calculate the greatest common factor of 1995 and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 342 = 3*q + 2*v, 4*v + 144 = 2*q. Suppose -15*g + q + 168 = 0. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 + 9*s + 2. Let m = 2174 + -2170. Let y(b) = 11*b**2 - 19*b - 4. Give m*y(j) + 9*w(j).\nAnswer: -j**2 + 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -4 + (-66)\/(-3). Suppose -y + 4 = -s. Suppose 0 = -z + 6*z - 375. Calculate the greatest common divisor of s and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 685*n**2 + 1324*n**2 + 2.\nAnswer: 2009*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1139 + -0.1861. Let x(f) = -2*f + 6. Let q be x(4). What is the closest to 1 in a, -8, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:29 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2817 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5. Let d = -1 + u. Suppose -2*j + 45 = 7*j. Solve j*q - 9 - 11 = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 12. Let i be 88\/5 + s\/10. Let o be (-1)\/(-2) + (-17)\/(-2). What is the highest common divisor of o and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 j when three letters picked without replacement from oyyyyxjejvvyeeyvjv?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23658855919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from ycyyycclyccrjlylmc.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 310883660\nAnswer: 310883657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234898745175 - -234898745077.099999121. Let t = k + 97.9. What is t rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -1d1c6f?\nAnswer: 1d1c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -68, -67, -66, -65, -64, -63?\n\"Answer: v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/1*(-136)\/6. Suppose 6*q - 4*q = o. What is the second derivative of 10*i + 23*i + 20*i**2 + q*i - 5*i wrt i?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20758584 at least -20758582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27664574 and 12824?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**5 - 3*f**5 - 6*f**5)*(2 - 2 + 1).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + -4 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**2 + 19*l + 111. What are the prime factors of o(12)?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/2 + 254\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 7*r**2 - r - 12. What is the units digit of s(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 1. Let k be j(1). Suppose -2*c + k = -0*c. Let p(q) = -3*q**3 - 6*q + 0*q + 2 + 4*q**3 - 3*q**c + 4*q. Determine p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jsjuuujujujjjjjjj.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33310323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n\/n**(-18\/7)*n)*n*n)*n*n**(-6\/5)*n assuming n is positive.\nAnswer: n**(153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ndzznzzzzdzdzzz?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 != -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2\/(-8))\/((-1)\/4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ca4a - 2?\nAnswer: -ca4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4) + (-54)\/(-60)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 11:56 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 25 = -5*f, -2*n + 5 = -3*n. Suppose 2*w - 10 = 2*k + 6*w, 5*k + 3*w - 10 = f. Let u(h) = -2 - 2*h + 2 + 8 - 2. Calculate u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 685 + 5?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8505, -8498, -8479, -8442, -8381, -8290, -8163, -7994?\n\"Answer: r**3 - 8506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2570 and 272700?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 - (-2 + 1 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 507709198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.035491 and -0.1.\nAnswer: -0.064509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -623, 1, 132, -2 in increasing order.\nAnswer: -623, -14, -2, 1, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1265993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -590, 2\/39, -0.4, 5, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71964 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75778, -151126, -226044, -300532, -374590?\nAnswer: -448218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let r = -0.8 - y. Let z(x) = -x**3 + 10*x**2 - 9*x - 2. Let m be z(9). Which is the nearest to 0? (a) -3 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1728) - (sqrt(1728) + -1))**2*4*-4.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38103168 and 12864.\nAnswer: 38103168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 416 - 3*z - 580 - 843 to the form w*z + c and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-144)\/(-40))\/3)\/(9\/30). Let u be t\/(-26) + ((-53870)\/(-8775) - 6). Let o be 2\/(-4)*(-1 + 1). Are u and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 5 = -6*i. Let s = 7 - 3. What is the smallest common multiple of s and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/5)\/(s\/((s\/s**1)\/s)))**(-19)\/(((s\/(s**(-1)*s))\/s*s)**(2\/31)*s**(-1)\/(s*s**(-3\/5))) assuming s is positive.\nAnswer: s**(3741\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 27 + 4 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12477, -12484, -12505, -12546, -12613, -12712, -12849, -13030?\n\"Answer: -a**3 - a**2 + 3*a - 12478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94654861 - -94654941.9999716. Let m = z + -81. Round m to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 110100000011011?\nAnswer: 110100000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 6:04 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 17*z - 16*z. Suppose -9 = -11*s + z*s. Suppose 0*b - 2*j + 13 = s*b, -37 = -3*b + 4*j. Solve b = 2*w + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1.5, -0.2, 0.3, -1\/4 in increasing order.\nAnswer: -6, -1\/4, -0.2, 0.3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 6*g + 15. Let r be o(-6). Let v be (33\/(-9))\/((-2)\/(-6)). Let c = r + v. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-160)*-8 - -3.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 1 - 1)*(4 + f - 4) + (2*f - 2 + 2)*(0*f**2 + 0 - 1 - 3*f**2) + (f + 0*f - 2*f)*(5*f**2 + 3*f**2 - f**2).\nAnswer: -17*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 2)*(-3 + 5). Find the third derivative of 7*c**2 + 4*c**t - c**2 + 0*c**4 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27912 - 10776 = 952*c. Let f = -6 - -18. Calculate the smallest common multiple of ((-8)\/(-6))\/(2\/f) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-78))\/(1020\/(-510))*-1*4\/(-22).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1053729824 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2336137304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96752 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 times 29900?\nAnswer: -3677700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 1. Suppose -3*y + 3*u = -5*y + k, -u - 7 = -3*y. Solve -4*b + 0*b = -y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 84*u + 345.\nAnswer: 3*(u + 5)*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3 - (-7 + 3)). What is the tens digit of 169 + 1 - a - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9644.202l in millilitres?\nAnswer: 9644202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Let m = 0.061 - 52.061. Let d = m - -50. Is d greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from qvvavvqqqvv?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwwzyzyyz. Give prob of sequence xy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, d: 6, q: 9}. Give prob of picking 2 q and 1 s.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39161521*b**3 + 5*b**2 + 156230862 wrt b?\nAnswer: 117484563*b**2 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*s - 41, -2*p + s = -0*p - 6. Suppose -2*j = 2*r - 5*j - 25, -3*r - 10 = p*j. Solve k + 3*k + 4 = 0, r*d + 4*k - 21 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722641659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.99*-0.189\nAnswer: 0.37611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4419*z = -4416*z - 12. Solve -2*x + 4 = -z*o, 4*x + 12 = -4*o - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 614961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045236.015 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-13) - 9\/(4212\/176). What is the second biggest value in x, -0.1, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4 - 105*c**3 - 336*c**2 wrt c?\nAnswer: -24*c - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84373086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -37075985812 - -1\nAnswer: -37075985811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71311 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 o, and 1 a when four letters picked without replacement from awooaoaawcaaaaoo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - 6*w**2 + 5*w**2 + 2 - 3*w**3 + w**4 as n*w**2 + z*w**3 + p*w + f*w**4 + j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1. Let j(g) = 1 - g - 1. Suppose 27*r + 2 = 28*r. What is r*j(v) - d(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 29 - 80 + 11*t**3 + 51 - 13*t. Let o(c) = 5*c**3 - 6*c. Let h = 11 + 0. Let n = -17 + h. What is n*z(r) + 13*o(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(((-1 + sqrt(45))**2 - ((sqrt(20)\/sqrt(2))\/sqrt(2))**2)*-6 - (1*sqrt(1280))\/(sqrt(196)*-1)).\nAnswer: -740 + 780*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3087897.\nAnswer: 1\/3087897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*c - g, -3*c - 5*g + 36 = -0*g. What is the least common multiple of c and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o. Calculate the remainder when 51 is divided by y(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23494270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*g - 40, -2*f + 7*f - 34 = -3*g. Suppose -g*y = -l - 213, -2*l + 142 = 2*y - 0. What is the remainder when y is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 23*r + 25. Let f be u(-24). Suppose -10*m = -8*m - 46. Let a = m + f. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*u + 1279*u - 4868 - 3547 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10481284 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 12:34 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-13)*(-47580)\/12810?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 7, 25, 51, 85, 127, 177?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-256)\/(-16) + -4 + -5 - 5. Let t(s) be the first derivative of -12 + 1\/2*s**q - s. Determine t(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333c (base 14) to base 6.\nAnswer: 105030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g - 15. Suppose 4*h = g*h + 3. Solve 5 = -2*m - 3*m, -h*y - 14 = 2*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39804*m*s**3 - 2*m*s**2 - 3070*m*s - 3330*m + 9*s**3 - 3*s**2 - 2*s wrt s?\nAnswer: -238824*m*s - 4*m + 54*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -56, -58, -60, -62?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f - 12. Let z be 3*(-2)\/(0 + 2). Let r be y(z). Suppose 5*w - 42 = -0*b + r*b, w = 5*b + 4. Calculate the smallest common multiple of 3 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - s + 1)*(-38 + 0 + 3) - 3*s + 4 - 4 + (-16 + 16 - 5*s)*(1 - 1 + 1).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2892 - 2892.000001709. What is j rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 15*j**5\/2 - 427*j**4 + 11061*j**3\/2 + 12711*j**2 + 8462*j + 1716 = 0?\nAnswer: -1, -2\/3, -2\/5, 26, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**2 - 7*d - 19. Let c(y) = -4*y**2 + 3*y + 9. Determine -13*c(s) - 6*o(s).\nAnswer: -2*s**2 + 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 8*k + 6. Suppose 0 = b - 0 - k. Let a(t) = b*t**2 - 69 + 69. Let w(j) = 12*j. Give a(w(h)).\nAnswer: 288*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -399 and 0.1?\nAnswer: 399.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saa when three letters picked without replacement from ssaaaassaasaaasaaa.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 2*m = -6, -3*y + 2*m = -8. Suppose 2*w - 14 = -2*w - y*j, w + 3*j = 6. Solve 2*u = w*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 45*f = -15*f - 2874 + 366 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 10*i**2 - i + 4. Suppose -60 = -12*x + 18*x. Let m be t(x). Solve -3*j + 12 = -3*k, -k + 4*j - 2 = m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3177 + -0.7177. What is the nearest to -3\/20 in d, -4, 1\/7, -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 1\/4 (c) 3.6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = y - 2*i + 4, 3*y + 366 = -4*i + 315 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 173619 - 142445 = 0. What are the prime factors of w?\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {b: 2, v: 1, e: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 19 = -51*z - 2*w, 3*w + 18 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15914005 is divided by 1168.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = -0*m - 2*m, 4*m + 2*s = 38. Let v be (-7)\/(-6) + m\/(-5). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5500*f + 110 = -5505*f, -12*l + 2*f = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o - 3. Let m = -144\/5 + 29. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-33)\/12)\/(((-147)\/(-84))\/(-7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 72*y**2 + 37*y + 139. Does 90 divide a(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -21. Let f = u - -80. Suppose -4*w = -3*w - f. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 2*b**3 + 12*b**3 + b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -19*z - 93. Let l be n(-5). Solve l*v = 4*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(((g\/(g**(-2\/7)\/g))\/g)\/g))\/g)**40)**(-21) assuming g is positive.\nAnswer: g**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*s + 15. Let c be (24\/(-5))\/6*s\/26. Put 0.4, -2\/113, c in increasing order.\nAnswer: -2\/113, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y + 0*y)*(-y - y**2 + y) + (35176*y**2 - 35175*y**2 + 230 - 25)*(-18 + 4*y + 18).\nAnswer: 2*y**3 + 820*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016945816051 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1. Let d = 18284 + -18282. Let g(c) = -2*c - 2. Let y be (-2 + 2)\/(-1 - -2). Suppose -1 + y = -p. Determine d*n(t) + p*g(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19321 - 9670 - 9625)*(2*g**3 - 3*g**3 - g**3) to the form a + y*g**2 + v*g**3 + w*g and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -52 + 2 + -2 + (6 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 21346773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*q + 0*q + 9 = -31*b - 40, -11 = 3*b - 4*q + 50 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 17515*m + 87565. Calculate f(5).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + p**3 + p**3)*(-1 + 3 + 3)*((-4 + 3 + 2)*(-2*p + 0*p + p) - 2*p + 3*p + p + 33*p - 19*p - 23*p + p + p - 3*p).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 + 7*j + 4. Suppose -5*z = 5*n + 25, 3*z - 2*n + 2 = -8. Let a be f(z). Suppose 12 = -6*k + 9*k. Solve -k*u + 8 = a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y. Let t(i) = 7*i**2 - 24*i - 1. Calculate 6*b(q) - t(q).\nAnswer: -q**2 + 18*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j**2 - 20*j - 2. Let b(r) = 39*r**2 + 41*r + 4. Calculate 4*b(h) + 9*u(h).\nAnswer: 3*h**2 - 16*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -571*u + 287*u - 6 + 311*u + (14*u + u - 3*u)*(-5 + 1 + 2).\nAnswer: 3*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = y, -3135 = -750*y + 380*y + 373*y + 447*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7804\/11, -4, 369, 4?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -4\/1801013, 1 in increasing order.\nAnswer: -4\/1801013, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*y**2 + 1552979*y - 287272156 wrt y.\nAnswer: 34*y + 1552979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + g - 4. What is the remainder when d(-4) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 24829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 12 (c) 3\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*b**4 - 55*b**4 - 133*b**4 + (58*b**4 + 579*b - 579*b)*(0 + 3 - 2).\nAnswer: -71*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 1 - 26. Suppose 2*d + n*g = 64, -5*g + 2*g + 134 = 4*d. Which is the smallest value? (a) 2\/11 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 8 - 9) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose 0*o - k*u = 5*o - 38, 2*o = 5*u - 8. Let y(g) = g - 9 - 7*g + 3 - 4*g**3. Let m(s) = -5*s**3 - 7*s - 7. Determine o*m(j) - 7*y(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-11 - (-280)\/16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/21*3)\/((-21)\/(-147))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w + 4*v + 55, -2*w + 2*v = -34. What is the greatest common divisor of 195 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, -1345, 4\/5 in decreasing order.\nAnswer: 252, 4\/5, -1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:31 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-9) - (-10)\/15. Let z be 76\/6*15\/m. Let n = z + 9. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 + 110*a**2 - 109*a**2 - 8*a**5 wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(9\/(-120)) + -1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/80 and -117\/110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1365)\/(-4))\/((-41)\/(-164)). Let y = 1959 - n. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 98817253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11090, 22178, 33264, 44348?\nAnswer: 55430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*c - 7. Suppose 3*u = -r + 14, -5*r - 2*u = -4*r - c. Put 0.1, r, -0.2 in increasing order.\nAnswer: r, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*b = 229*b - 949. What is the remainder when b is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 72. Let l be o(19). Suppose 4*n = 0, -5*z + 14349 = -2*z + l*n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -8*h - 0*h + 304 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 87366821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -285.72 - -260.5. Let m = -0.52 - r. Round m to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 + 11*h**3 - h**3 - 5*h**3 - 6*h**2 - 6. Let l(m) = -2*m - 10. Let r be l(-7). Suppose 2*b - r = 8. What is u(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*y - 213 + 1429 + 0 = 0 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 3}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/9)\/t)**(4\/11) assuming t is positive.\nAnswer: t**(-68\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-505*f**2 - 584*f - 555*f + 1131*f)*(5*f - 6*f + 2*f)*(-1 + 1 + f) as z + a*f**2 + r*f**3 + q*f + p*f**4 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411, -7, 4 in decreasing order.\nAnswer: 411, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -2.09. Let o = w + 5. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 83*u**3 + 390*u**2 - u - 27. Determine r(-4).\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from lllllllallllllllalll.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4675.7 + 4676. Which is greater: d or -22\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*s**2 + s - s**2 - s + (-2*s + s + 2*s)*(0 + 0 - 2*s) + (-219*s**2 - 323*s**2 + 125*s**2)*(5 + 1 - 4) as o + a*s + i*s**2 and give i.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1171 + 636?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.174 and 113.\nAnswer: 19.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*0.0608.\nAnswer: 1.1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = -27*g + 3276. What is the least common multiple of (-4)\/(-5)*1*5 and g?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110337 is divided by 5476?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64, 125, 188, 253, 320, 389, 460?\n\"Answer: f**2 + 58*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, g: 1}. Give prob of picking 1 p and 1 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352917\/128 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6612 = -5*k + 17*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29 and 51293678.957.\nAnswer: 51293649.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 288*o - 8192.\nAnswer: -(o - 256)*(o - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -45, -79, -129, -201, -301, -435?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 23, 21, 9, -19, -69, -147, -259?\n\"Answer: -r**3 + 4*r**2 - 3*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**3 + d**3 + 3 - d**3)*(-90 + 90 + 30*d) to x*d + v*d**4 + f + z*d**3 + o*d**2 and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -54 + (0 - 5 - -23) + (-2 - -8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2946.093 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -24\/6595 (b) 3 (c) -1\/12 (d) -0.01 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 0*m**3 - 2*m**3)*(m**2 - m + m) + m**4 + m**5 - m**4.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12458.8463 to the nearest one hundred.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(j - 6*j + 3*j) + 3*j - 3*j - j + 28*j - 62*j - 2 + 31*j + (0*j - 2*j + j)*(0 - 5 + 3) - 4*j - 2*j + j in the form w*j + f and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 8*j + 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51285 is divided by 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -88, -34, 20, 74, 128?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35062 and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 4*i + 2*i)*(-1436 - 7260 + 1298 - 8487 - 47).\nAnswer: -15932*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - -12. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-140))\/((-3)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 55*b + 1. Let u(q) = -3492*q. What is u(a(s))?\nAnswer: -192060*s - 3492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, r: 1, c: 1, s: 1}. Give prob of sequence ckrk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6358257 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*d - 131*d - 1599130 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 158\/6. Suppose -3*j + 5*n - 4 + m = 0, 5*n + 10 = 0. Suppose -j*x = -7*x + 93. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 9*t - 10*t + 3*p, -4*t + 4 = -4*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 - 139*q**2 - 279*q**2 - 563*q**2 - 222*q**2 - 95*q**2.\nAnswer: -1320*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-37)\/b*b)\/b**(-28) assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144786?\nAnswer: 2, 3, 59, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbofnuf. What is prob of sequence of?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20c692 (base 16) in base 14?\nAnswer: -3dcb18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -87. Let g be (11\/(-2) - 12\/k) + 0. Let q = 0.04 + 3.96. What is the third biggest value in -3, g, q, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*a + 138*a - 448*a.\nAnswer: -447*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501 is divided by 156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2930 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*g - 3*g. Let o = -8 - g. Let l(z) = -3*z - 4. Let t be l(o). Solve 0*p - 4*p = 2*j, -10 = -t*j - 5*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(539) + sqrt(539) + 1 + 3 + -4)**2.\nAnswer: -10780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(432))*5*-1 + 3*(1 + (-2 + sqrt(432) - sqrt(432))))**2.\nAnswer: 2160*sqrt(3) + 11124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50945)\/(-1772)*(-8)\/(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2839e (base 15) in base 9?\nAnswer: -216045","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 62\/3 - 6\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/12)\/(2\/(-15)). What is the remainder when (-134)\/(-6) + z\/15 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 12. Let l(p) = -1. Determine f(n) - l(n).\nAnswer: -2*n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 3. Let c = 7932 + -7931. Let i(s) = -s. Determine c*q(l) - 3*i(l).\nAnswer: 5*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/30822 and 3\/88.\nAnswer: 123288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -964078882*p**4 + 18049795*p.\nAnswer: -11568946584*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.11 - -0.11. Let g = -0.2 - -1.2. Let l = g + -1.2. Which is the smallest value? (a) t (b) 2\/13 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(177\/118*(-16)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.09162122895 - 6528\nAnswer: -6528.09162122895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.244222?\nAnswer: -0.122111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*r - 4 = -3*r, 0 = 2*n + 5*r + 20. Let i = -0.1 + 2.1. Let t be 6\/(-21) + 8*9\/(-42). Which is the nearest to t? (a) 2\/7 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -391*o**2 - 3486*o + 327. Determine c(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -37869*a + 454597. Give g(12).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 621753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 304 - 150. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24962602 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 882565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthvjtphyvpyppppht. What is prob of sequence ppy?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 2, -8, -22, -40, -62, -88?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1001000100?\nAnswer: -1001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 29906.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 95 = 9 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(182\/312)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145520 and 5695?\nAnswer: 9749840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*y**2 + 2878*y - 2878*y)*(-4*y**2 + 2*y**2 + 0*y**2) + 3*y**4 - y**4 + 0*y**4 - y**3 - 7*y**4 + y**3 - 2*y**4 + 2*y**4 - 3*y**4.\nAnswer: -56*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1. Let r(k) = -1 - 1 - 1 + 4*k. Let w = -95 - -91. Give w*u(d) - r(d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -696 + 587. Let w be ((-3)\/((-3)\/(-347)))\/3. Let a = p - w. Is 8 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 + 8*z**2 - 9*z + 2742. Determine i(18).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5872996404 - 79.\nAnswer: -78.4127003596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = -16. Let n be ((-2)\/t)\/((-9)\/(-297)). Let g(l) = l**2 + 10*l - 6. What is the least common multiple of 7 and g(n)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6359770 or 6359766?\nAnswer: 6359770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 15) + (-11 - -17) - (-2 - 12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wek when three letters picked without replacement from {w: 1, k: 1, t: 1, e: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5165 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*j + 44 = 212, -4*j - 144 = -2*o. What is the smallest common multiple of 2196 and o?\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 9 + 21. Suppose -7*s + q*s + 23 = 0. What is the remainder when s is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + z - 18. Let u(q) = -q - 3*q**2 + 5 + 2*q**2 + 0*q**2 - 4*q. What is u(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by -5027.\nAnswer: -82\/5027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76838 = 25*k + 45653 - 70515. List the prime factors of k.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1 - 3*p + p**3 - 2*p + 1 + 0 - 3*p**2. Let s be (1 + 1)*5*1. Let r = s + -6. Determine d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -3*q - 5*i, -1264*q + 16 = -1265*q + i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 94*b - 659. What is l(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65769289*b**4 - 357176*b**2 - 56*b wrt b.\nAnswer: 1578462936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y - 398. Let k be d(-40). Is k > -1078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5673.775ml to litres.\nAnswer: 5.673775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261648 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 1463.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**5*o - 63348180*i**3*o + 6*i**2*o + 59*i**2 + 6900*i - 2*o - 6 wrt i?\nAnswer: 180*i**2*o - 380089080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 50*j**2 + 12*j - 66. Let w(r) = -99*r**2 - 26*r + 133. Let x(b) = 13*p(b) + 6*w(b). Find the first derivative of x(v) wrt v.\nAnswer: 112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1 - (-199 - -14). Suppose -w - 76 = -3*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -231*h - 592. What is the units digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9737*m = 9714*m + 207 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5 - 389*a**4 - 4546*a**3 - 8210*a**2 + 31619*a - 18473 = 0. Calculate a.\nAnswer: -377, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 13877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 220707833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4329744494 to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1440 - -41759\/29. Do 1\/10 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -2*j. Determine r so that 2*r**3 + j*r**5 - 2*r**3 - 7*r + 5*r - 4*r**4 + 4*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351001 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1278723151 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20036*b + 40323. Determine n(-2).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) - -6*(sqrt(304) + 0)**2.\nAnswer: 4*sqrt(19) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99110 + -22?\nAnswer: -99132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157845 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -164\/62283, -1, -6 in descending order.\nAnswer: 3, -164\/62283, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 - -8) + 3 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + 2*sqrt(88))*-2)\/(sqrt(8) + sqrt(16)\/sqrt(2)*-4)*1 + 3 + -5)*-5.\nAnswer: -10*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424982476 to the power of 1\/3, to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 16399573\nAnswer: 16399573.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528 and 10296?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 38 = 2*u - 0*g, 4*g + 20 = 0. Calculate the remainder when 26 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -694\/9 greater than -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -152, -291, -518, -851, -1308, -1907, -2666?\nAnswer: -3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17189 is divided by 663?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(-6)*(-122)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -1. Suppose 0*o + p + 13 = o, p + 21 = 2*o. Calculate the remainder when 11 - (-1 - (m + 3)) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13780200 to the nearest 100000.\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)**29)**(-2\/35) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/((-329)\/(-42)))\/((-3)\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*n**2 - 1713*n + 168*n**2 + 164*n**2 + 161*n**2 - 650*n**2 + 1713*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e73 - -34?\nAnswer: -e3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**2 + 2*y - 1. Let l be z(1). What are the prime factors of (2 + -4 - -3)*l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*f + 13. Let j be (3 + -2)*f*4. What is the first derivative of -j - l**2 + 6 + l**2 - 3*l**2 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 1\/4*v**4 + 0 + v + 0*v**3 + 9\/2*v**2. Find the first derivative of w(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*x**3 - 522*x + 522*x - 395*x**3.\nAnswer: 233*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + 21. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 10*l**2 - 3*l + 33. Let b be r(10). Suppose b*o = 11*o - 16. Solve -f = o - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/112)\/(127\/(-508))*(-14)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(18) - sqrt(288))\/sqrt(6) + -1 + -3 + sqrt(297)\/(sqrt(33)\/(sqrt(3)*-1)) + 5.\nAnswer: -6*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25340.4206 - 963.7\nAnswer: 24376.7206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 267, 2257, 7619, 18027, 35155, 60677, 96267, 143599?\n\"Answer: 279*m**3 + 12*m**2 + m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19658.9 and -0.2.\nAnswer: -3931.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2293\/2? (a) 5\/6 (b) 0 (c) -0.032 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*l, -q - 498*l + 496*l + 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709922995 to the nearest integer?\nAnswer: 26644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.13 + 11.16. Let w = f + 5. Let d = w - 0.030018. Round d to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/15 - 66136*j**2\/15 + 529376*j\/5 - 3176832\/5.\nAnswer: -2*(j - 12)**2*(j + 33092)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19982154259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134259958 is divided by 8902.\nAnswer: 8896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 + 0.1. What is the second biggest value in t, -5, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47124?\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.2. Suppose -5*u + 4*g = -138, -2*g - 12 - 18 = -u. Let f be u\/6 - (-2)\/3. Which is the nearest to y? (a) -0.3 (b) f (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/34*(-30)\/25\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 8*a + 21. Let g be z(7). Let j(s) = -s**3 + 14*s**2 + 33. What is the units digit of j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.98121 + 0.01879. Let d be 0\/2 - 2\/48. Let m = 3\/8 + d. Are m and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*a - 53009, 264988 = -7*l + 2*l - 4*a. What is l rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.94 + -11.36. Let m = -13 - f. What is the biggest value in m, -1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001131784 rounded to 7 decimal places?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let s(w) = 3*w**3 - 2*w**2 - w + 1. Let f(h) = 20*h**3 - 4*h**2 - 5*h. Let k(b) = -f(b) + 2*s(b). What is k(j) + 2*r(j)?\nAnswer: -14*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j - 53 + 82*j**2 + 1 + 17*j**2 wrt j?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/22 - 2080\/(-572). Solve w*t - 21*t = -68 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*m + 160*m + 437*m + 2*m**2 - 15*m + 34*m.\nAnswer: 2*m**2 + 453*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxoyzyxooyoyuxy. Give prob of picking 1 c and 2 x.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -52. Suppose 56*m = 49*m + 7. What is the highest common divisor of m and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -1.1. Let h = -0.0475 + 0.4475. What is the third smallest value in h, 0.1, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) 4 (b) -5 (c) -2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:29 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14*r + 2. Let d be f(-2). Let q be (-40)\/d + 224\/6. Suppose 2*s = 5*s - 5*s + 108. What is the highest common divisor of s and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.07 - 8. Let z = f + 0.18. Let t = -0.250054 + z. What is t rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30415 - -30423. Let b(z) = z**3 - 1. Let g be b(2). Suppose x*c + g*c = 0. Let r(s) = s**3 - s**2 - s + 16. Calculate r(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55152.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/240 + g**4\/24 + g**3\/6 - 3*g**2. What is d in y(d) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4.1, -0.3, -180?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(33 - 33 + 2*h)*(1 + 0 + 0 + (2 + 0 - 3)*(-2 + 2 - 1) - 4 + 3 + 3) to the form k*h + v and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6301646822 to the nearest integer?\nAnswer: 79383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 8) to base 3.\nAnswer: 12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/11))\/(n*n**3\/n))**(2\/21) assuming n is positive.\nAnswer: n**(-40\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100081 is divided by 307?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:16 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)*(-9 - (-6 + -2)). Let g(n) = -2*n + 9. Let c be g(6). Let l be 3*-1 - (c + 2). Sort l, 2, r.\nAnswer: l, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*t**3*w*x + 76*i*t**3 + i*t**2*w*x + i*t*w*x - 4*i*t*x + 67*t*w*x wrt t.\nAnswer: 12*i*t*w*x + 456*i*t + 2*i*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1750)\/1*1333200\/(-70). What is o rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 4.41.\nAnswer: 4.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4) + 1)*0\/8. Suppose z = -5*r - 40 + 75. Solve 4*h + 2*w - 6 = 0, -5*w = -r - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/12 - i**5\/15 + i**4\/4 - i**3\/3 + 11*i**2. Let y be c(-4). Suppose -7*k - 4*k + y = 0. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j - 443 = 957 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 5*j**3 + 2*j**3 + (1 - 1 - 3*j)*(7*j**2 + 4*j**2 - 5*j**2) to n*j**3 + a*j**2 + z + t*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-165) + (-860)\/946 - (-282)\/(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**3 + 23*a**2 - 10*a + 562. List the prime factors of h(21).\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyayyyayyyyym. Give prob of picking 2 y.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1847 - 304. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.287267 milligrams?\nAnswer: 5287267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*x + 26, 0 = -5*x + 3*h - 0*h + 44. Solve x = 4*i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 9. Suppose 2*r = 6*r + 28. Calculate the remainder when 53\/7 - 3\/r is divided by f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:23 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1710644 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmxxtmxxmxxtxxdms. What is prob of sequence dmx?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d15d - 27b?\nAnswer: cdd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 12 - 4. Let x = 26 + -72. Is 1 - x*(-26)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**8\/28 - 4*n**5\/15 + 3*n**2. Find the third derivative of v(b) wrt b.\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 230?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1100586147 - -1100586161.30001958. Let h = p - 14.3. Round h to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1300)*2 + sqrt(1300))*1 + sqrt(1300) + 1 + sqrt(1300) + -4 + (2*sqrt(1300) + 3 + 3)*-2)**2.\nAnswer: -7625 + 1500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.433 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/3 + 28*x**3\/3 - 98*x**2 - 2*x. Factor f(c).\nAnswer: -4*(c - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 762 = 99. Suppose -8*f = 18 - 282. Suppose f + i = 12*x. Calculate the remainder when 115 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10683308 at most 10683301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4851, -4855, -4861, -4869?\nAnswer: -4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3434*p*q**2 + 7*p*q - 10259*p + 16*q**2 - q + 39 wrt q.\nAnswer: -6868*p*q + 7*p + 32*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, 8, 39, 82?\n\"Answer: 6*n**2 + n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 248816 - -16?\nAnswer: 248833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2656 + 28?\nAnswer: 2684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118506073 is divided by 1120?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/10*(-9)\/72*20 + (-19000)\/1330.\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 > -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) 1 (b) -0.4 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-5) + -5 - -29. Suppose -114*q + d = -102*q. Solve 3 = -l + 4*r, 3*l - q = 3*r - 2*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(sqrt(405) + -3))**2*-1.\nAnswer: -6580 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2056674 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2 + 3*r**2 - 5 + 3*r + 0. Let d(f) = 2*f**2 - f**2 + 1 - 2 + f. Calculate 2*d(j) - t(j).\nAnswer: -j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from {y: 3, p: 2, x: 1, m: 3, w: 1, j: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 5*u + 3*u, -39 = 22*d - 6*u + 4*u + u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10410919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 18*l**2 + 13*l - 137. List the prime factors of n(18).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + -2 + (2 - (-55 - 2)) + 3.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552 and 44.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -16, -22?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 + 5*a + 4. Let t be s(4). Suppose 3*y = n + 12, 2*y = -n + y + t. Let k(c) = 7*c**2 + c + 1. Is k(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13489.56769212 plus -905?\nAnswer: -14394.56769212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from zznfdmcnzmzfnmzzzf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 5. Suppose -3*j + 5*w + 30 = -0*w, w = j - 12. Suppose 2*n - c*n = -j. Solve n = 4*y + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**5\/20 - b**3 - 6. Let l(z) be the third derivative of q(z). Let c(s) = -2*s. What is c(l(d))?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 2, s: 5, u: 3, h: 5, d: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017627185 rounded to 6 dps?\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose 5*j - 1 = -3*u - 5, 2*u + 3*j + q = 0. Find the third derivative of -u*z**2 - 7*z**2 + 10*z**2 - 8*z**2 - z**3 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is the biggest value in 0.251, -4, 1\/10, 2.15?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 401.8810564 - -0.1071436. Let z = 513 - n. Let x = z + -111. What is x rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/15)\/((-1)\/3). Let x = 1.4792 + -0.9792. What is the fourth biggest value in 4\/7, h, 2\/11, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -21. Which is the third biggest value? (a) s (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 1, m: 2, f: 1, g: 1, n: 1}. Give prob of sequence rmnm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:59 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -74 (b) -21 (c) -2\/17 (d) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-5))\/(((-4)\/(-5))\/(-2)). Solve 3*l + 5*w - 34 = 0, w - 16 = -c*l - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 4, -2\/19, -6724\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1002888 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5237\/27 - 194. Calculate the common denominator of ((-5)\/(1200\/(-685)))\/((-9)\/6) and a.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 3*s**2 - 8*s - 5. Let t be n(-5). Let z = 53 + t. Let v = -19 + z. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12\/7 of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = t - 6*t, 548 = 4*b - 17*t + 244 + 610 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 28*t - 32. Let h(k) = k**2 - 8*k - 186. Let f be h(-10). Let p be x(f). Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*2 + 0\/10)\/1. Let u(v) be the first derivative of 2\/35*v**5 + 0*v**d - 1\/21*v**6 + 0*v**3 + 0*v + 0*v**4 - 3. Factor u(t).\nAnswer: -2*t**4*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6178946669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 + 21390*u - 48540393\/2.\nAnswer: -3*(u - 13017)*(u - 1243)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19798*k + 78788*k - 19662*k - 19664*k - 19663*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23\/10 - 2 - (-5 + (-324)\/(-60))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31057745 divided by 6211549?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 254537853 and 254537853 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - a**2 + 5*a**2 - 45 to the form l + n*a**2 + b*a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 2*x + 3440. What is the highest common divisor of 1591 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 172 = -a - 3*a, 2*a = -6. Suppose 5*w + c = 4, 4*c = -3*w + 2*w - 3. Let u be w\/((-2)\/(4 + -14)). What is the highest common divisor of p and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -151*m + 169*m. Let c(x) = x**3 - 17*x**2 - 60*x + 8. Let y be c(m). Solve -65*l + y = -63*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 19431619 + 81213619. What is g rounded to the nearest ten thousand?\nAnswer: -4120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*i - 2504012 = -19*i. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c - 4*y = -37, -3*c + 3*y + 6 = 0. Suppose 5 + 7 = -3*m - c*u, 5*m - 3*u = 14. What is the third derivative of m - 1 + w**6 - 2*w**2 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 + 15b6d?\nAnswer: 15b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (780\/39)\/(2*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/15032 (b) -1 (c) 3\/5 (d) 4 (e) 1.4 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 26.087. Let x = -0.387 + y. Let p = 55 + -33. What is the second smallest value in 3\/7, p, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 3*r**2 + 2*r**2 - 312*r**3 - 4*r**2. Let b be (5*-2)\/((-7 - -5) + 4). Let o be t(b). Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5043.213um in meters?\nAnswer: 0.005043213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4304831273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.96 - 0.04. Let d = y - -4. Which is the third biggest value? (a) d (b) -5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**2. Let q be g(-1). What is the nearest to q in -3\/5, 18, -1\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442a (base 11) to base 4.\nAnswer: 1123100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102513 is divided by 11389?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -14.\nAnswer: -43\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 22*o**2 + 75*o + 1790. What is w(-22)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {e: 1, j: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12622*m**3 + 4914*m.\nAnswer: -75732*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y - 24878 + 19295 + 82443. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116386 is divided by 11629.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 31 = -3*k. Suppose -4*v = 2*d + 150, -2*d + 29 - 143 = -5*v. Let f = k - d. Calculate the remainder when f is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11143014 (base 5) to base 11\nAnswer: 68a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 60. Suppose b*s - 2400 = 3*s. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.193 in -51, 119, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Let b = -0.15 + 0.05. Let k be (-9)\/6*(-16)\/6. What is the closest to s in k, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9418636 kilometers to micrometers.\nAnswer: 941863600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 952334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*d**4 + 45*d wrt d?\nAnswer: -1272*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 385 = -4*c, -15*c + 14*c + 397 = b. Let a(y) = -401*y**3 - y**2 - y. Let o be a(-1). Let j(q) = -o + b + q. Let w(m) = 25*m. Give w(j(r)).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3574 = 235*s + 519 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-12))\/((-27)\/12). Let w = 0.07 - -4.93. Let i = 69 + -346\/5. Which is the nearest to o? (a) i (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 + i**5 - 2*i**5)*(-1 - 1 - 2 + 2 - 3 + 3 + (-1 + 3 + 0)*(2 - 7 + 3) - 2 - 2 + 3).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/12 - 97*p**3\/12 + 99*p**2\/4 + 259*p. Determine t so that c(t) = 0.\nAnswer: -99\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 + 6 - 4*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5391 + 1159 - 121 = -662*n - 2177 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -235*y + 7. Let n(k) = 6*k**2. Calculate i(n(o)).\nAnswer: -1410*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4983472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1 (b) 0.4 (c) -25663 (d) -2\/7 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 101080114655324 - 4\nAnswer: 101080114655320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*s - 1 = 0, 0 = -4*s + 2*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2769451639 - -107?\nAnswer: -2769451532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 70.7711?\nAnswer: -66.7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -767, -3116, -7943, -16136?\n\"Answer: -148*f**3 + 93*f**2 - 2*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 96738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4153.\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.4 (c) -1 (d) -107 (e) -4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 6, 73597, 5 in ascending order.\nAnswer: 0, 4, 5, 6, 73597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*h - 14 = -4, 0 = 3*u + h - 7. Solve b = -u*n + 4*n + 9, -2*b + 2*n = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/11319*-21)\/((-42)\/(-924)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-56) + 306\/(-714)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-2\/73)*(s\/(s**(-1\/2)\/s)*s)**(-36))**(2\/61) assuming s is positive.\nAnswer: s**(-252\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (17*(-2 - 2))\/(-2) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212212121020021 (base 3) in base 5?\nAnswer: -11222001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 3*l - 7. Let p be q(5). Calculate the remainder when -8 + p + 2 - (1 - 71) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 + -1607\/7. Which is the closest to 0? (a) f (b) 7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 26500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224667828 by -5106087.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 364*n**5 + 28960*n**4\/3 - 95188*n**3 - 580872*n**2 - 815936*n\/3 + 15488 = 0.\nAnswer: -33, -4, -4\/7, 2\/39, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + r - 11 = 0, 0*k = -3*k + 4*r + 25. Suppose -k*u = -251 + 56. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4056.953ml?\nAnswer: 4.056953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7)*14\/(1 - 2). Solve 2*y**5 - 5*y**5 - 212*y**x + 217*y**4 + 2*y**3 - 4*y**2 + 4*y**2 = 0 for y.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/4)\/(483\/(-138))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f\/(f*f**13))\/f)\/f*((f\/f**(-16))\/f*f)\/f assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19535950 to the nearest integer?\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -61981.89264 rounded to 0 decimal places?\nAnswer: -61982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 17. Suppose -5*z = -3*m - 2, 4*m - 5*z = -t - 1. Solve p = -m - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {l: 1, u: 2, w: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 25 + 541 = 48*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 - 1461\/10. Let y = -11744.9 - -11745. Sort m, y, -5\/4 in ascending order.\nAnswer: -5\/4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 5*t + 95 = 0, 4*t - 55 = -i. Let o = 54 - i. Let g be 5 - (0 + (5 - 3)). Solve 3*a - o + 4 = 0, -25 = g*r - 2*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from himhhhihhii. Give prob of picking 2 h.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {k: 2, a: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8665590 divided by 2?\nAnswer: -4332795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/12 + (0 - -4). Let w = -801 - -4001\/5. Which is the smallest value? (a) 5\/6 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3787 by 185.\nAnswer: -3787\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.912194l to millilitres.\nAnswer: 912.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -20, -27, 1\/29 in decreasing order.\nAnswer: 2, 1\/29, -4, -20, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.4. Let p = -29 - -29.1. What is the closest to k in 4, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 29005?\nAnswer: -2\/5801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 2 = 9*r - 0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l + 1. Let r(p) = p. Let y be (((-14)\/35)\/(4\/(-10)))\/1. What is y*r(u) - t(u)?\nAnswer: 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w + 25*w**2 - 104572 + 104572 - 23*w.\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106960, -106959, -106958, -106957?\n\"Answer: o - 106961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1630 and (183\/61)\/((-3)\/(-815))?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j - 30 = 0. Suppose 0 = j*l - 14*l + 776. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4722, 2\/15, -5?\nAnswer: -4722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 443340738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9156 + -7440. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 + 110. Suppose 17*h + 3*z - 96 = 14*h, 2*z - 94 = -j*h. Calculate the greatest common divisor of 20 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467342248 to the nearest integer?\nAnswer: 21618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 0*v - 2*v)*(-10 + 1 + 2).\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 12, -3\/7, 11022?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from kvuvkqqjt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-9)*26\/(104\/6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8490000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67648681 less than 24649?\nAnswer: -67624032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30745568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4398*j + 4037*j - 76*j = 142103 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from aaaaajsaaajjaasjjak?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*h + 10, q + 3*h + 0*h + 6 = 0. Solve -x + 5 = -q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(7\/(-6)))\/(((-810)\/(-252))\/3)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 99.2. Sort k, 3, 2\/7 in decreasing order.\nAnswer: 3, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 15 - 31. Suppose s*q = 4*q + 196. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90b82 - -3?\nAnswer: -90b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1313, -3058, -5947, -9974, -15133, -21418, -28823?\n\"Answer: m**3 - 578*m**2 - 18*m - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1051589 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2.05 (c) -11 (d) 0.355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 164.7, 638, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/68*-4)\/(-2*1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -1320344133?\nAnswer: 1320344122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4))**2*-1 - (-1 + sqrt(500))**2.\nAnswer: -506 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(1152))\/(6*-2*sqrt(6))*4.\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p + 1674. Is 41 a factor of g(89)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.3*2.696.\nAnswer: -33.1608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:50 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 9707*y**2 + 9706*y**2 - 19414*y**2. Let c(s) = -26*s**3 - 104*s**2 + 104*s. What is c(m) - 104*f(m)?\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 0 - 2 + 2*p**2 - 3*p - 4*p + 6*p. Let n(g) = 3*g - 2. What is the least common multiple of x(-2) and n(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -3109\nAnswer: -150\/3109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 50 = 660. Let y = -352 + i. Solve -s + 17 = 5*j, -y*s = -4*s + 3*j - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-85)*-5 - 1690\/(-85). Solve -4*y - x = -4*l, 4*l - 6*y = -7*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k*k**(5\/3)*k*k))\/((k*k*k\/k**(9\/4))\/(k\/(k\/((k\/(k\/k**(2\/5)))\/k*k)))) assuming k is positive.\nAnswer: k**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3219 + 3219 + 183*f**2 - 3*f**3.\nAnswer: -3*f**3 + 183*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-228)*(4 - 5)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.640349679 to 4 decimal places.\nAnswer: -0.6403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 138\/(-13731)*(-6)\/(-4). Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 2*s. Let o(i) = i**2 + i + 1. Let b(x) = 5*o(x) - 6*r(x). Determine b(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g**3 + 405*g**2 + 336*g + 68 = 0. Calculate g.\nAnswer: -2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 25513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 25100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -27, 0, -1, 59 in decreasing order.\nAnswer: 99, 59, 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 48?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 166 (base 7) to base 8\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 5 (c) -3 (d) -237\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c - 2. Let s(f) = -f**2 - 7*f - 5. Let p be s(-5). Let g(d) = -4*d + 1. What is p*t(j) + 6*g(j)?\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -187*t**5\/5 - 128*t**3\/3 + 53. What is the third derivative of i(z) wrt z?\nAnswer: -4488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*y - 128*y + 56*y + 25*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/117)\/(5\/25).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2 + 9 + -8). Let m(t) = t**3 - 2*t**2 + t + 10. What is m(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -890, -1781, -2674, -3569, -4466?\n\"Answer: -r**2 - 888*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let y(f) = -f**2 - 4. Let s(j) = 4*i(j) + y(j). Let k(a) = -2*a. Determine s(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcvek. Give prob of picking 1 c and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -82476.5127 rounded to the nearest 100?\nAnswer: -82500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98.19 * 0.5.\nAnswer: -49.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5c5 (base 14) to base 5\nAnswer: -14103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 6*o + 8. Let f(m) = -m**2 + 6*m + 9. Let i(y) = -2*f(y) + 3*v(y). Give i(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -303, -1071, -1839, -2607, -3375, -4143?\n\"Answer: -768*m + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2076 = 4*h, -15*j + 17*j = 8. Let p = -514 + h. Let m(t) = -t**3 + 6*t**2 - 4*t - 1. Let d be m(5). Solve -d*b = 12, -g + 4*b - p*b = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:36 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 + 657614*g\/3 - 3288020\/3.\nAnswer: -2*(g - 328802)*(g - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 14*q**2 + 17*q + 4. List the prime factors of k(13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-4 - (24 + -78))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvxxxjbvoxxxxxvvxvox. Give prob of picking 2 o, 1 b, and 1 x.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 11. Suppose 15 - 167 = 4*a. Let v = b - a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:54 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -2\/3*x**3 + 0*x + 3 + 0*x**2. Let l(r) = -6*r**2. Calculate l(u(m)).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2)*-2*1\/51)\/1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5 - -2)*-200. What is the common denominator of 11\/40 and (-2)\/(-16)*(-2480)\/s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66147*b**2 + 3809 - 3809.\nAnswer: 66147*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 97 = -2*p + 2*j, 5*p - j - 184 = 0. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 88*g**2 + 1258*g + 188. Calculate q(70).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 15*p = 29*p - 69906. List the prime factors of p.\nAnswer: 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m**3 + 16*m**2 + 2*m + 11. Let h(w) = 4*w**3 + 5*w**2 + w + 4. Let s(q) = 2*c(q) - 7*h(q). What are the prime factors of s(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3335445 is divided by 3342.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 2*k**2 - 5*k - 3. Let b be l(-3). Let i = b + -4. Let m = i - -1. Solve -5*s - x + 3 = 0, 2*s + 5*x + 10 - 2 = m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*(3 - 3). Let y(q) = 6 - 4 + 5 + q - 3. Calculate y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -200.7813 and 0.14486.\nAnswer: -200.63644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4326980562 + -4327477969.6949. Let m = -497349.69490073 - c. Let g = m + -58. What is g rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15\/(-10) + 1)\/((-10)\/50140)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 39. Let p(l) = -4*l**2 + 87*l. Calculate p(t(x)).\nAnswer: -16*x**2 + 798*x - 9477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o**2\/2 - 15623*o\/2 + 1116 = 0. What is o?\nAnswer: -2232, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 14*q**2 - 17*q + 33. Let n be z(15). Suppose 3*v + v - 12 = 0. Suppose -2*j = 2*c - 5*c + 425, 450 = v*c + n*j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 + 1)\/(1 - 0). Let f = 6 + m. Let g(q) be the third derivative of -q**5\/60 - 5*q**4\/24 + q**3 + 2*q**2 - 2904*q + 2. Calculate g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2703 is divided by 299.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 + -16 - ((-7)\/(-1))\/(-1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/4)\/26)\/(1*2\/(-8))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35934638 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -12\/5 (c) -1\/132 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 7:18 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1380 and 41\/30.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54295554*u**5 - 12568*u + 898 wrt u.\nAnswer: 1085911080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(16)\/sqrt(128) + (sqrt(4)\/(sqrt(2) - sqrt(8)))**2 + 2.\nAnswer: sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0319 + -0.0289. Let n = 303 - 302.597. Let m = j - n. Put -0.2, m, -1\/4, 2\/9 in descending order.\nAnswer: 2\/9, -0.2, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 + g**2 - g. Let j be n(1). Let y = j - -9. What are the prime factors of 6*(-1)\/y - -17?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4660040569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*j = 11*j. Suppose -k - 4 = j, 21*b = 16*b - 5*k. Solve 0 = -9*y + b*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212041310 - 0?\nAnswer: -212041310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -165 (base 9) to base 16\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2825, 6, -13 in ascending order.\nAnswer: -2825, -13, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-600)\/36*(-12)\/10. Suppose 0 = -y - 0*n + 4*n + 44, -y = 4*n - v. Let g(h) = 60*h**2 + 1. What is the remainder when g(1) is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**7\/210 - 31*v**6\/60 - 359*v**5\/20 - 899*v**4\/6 - 1682*v**3\/3 - 15*v**2 + 8. Suppose x(l) = 0. What is l?\nAnswer: -29, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 + 7*v - 110. What is m(-9)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(42\/5)\/(g**(-2\/3)\/(g*(g*g**5)\/g)) assuming g is positive.\nAnswer: g**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19428, -38856, -58284, -77712, -97140, -116568?\nAnswer: -135996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 37*q + 2. Let x be z(-7). Let y = -56 - x. Is (-4)\/6*y\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 58 = 11. Let z(q) = 3*q**2 + 5*q - 3. Let w be z(3). Let i = v + w. Calculate the least common multiple of 10 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91729 - -137940. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86057148, 86057150, 86057152, 86057154, 86057156, 86057158?\nAnswer: 86057160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 24339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1585*h + 6372. Give u(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.31 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-321)\/8)\/(45\/(-6)) and (-46)\/40 + (2 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = 4*v, 3*l = -6*v + 8*v + 20. Let c = 65 - v. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*d - 8, -2*w + 3*d + 0*d + 17 = 0. Suppose -v = -4*v + w*j + 14, 3*v = -2*j + 20. Calculate the least common multiple of 2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 7*d**2 - 82*d - 48. Let f be z(-13). Solve -7*j - 2*b + 6 = -f*j, 2*j + 3*b - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4177346 or -1\/4?\nAnswer: -3.4177346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hadhhhdah. Give prob of sequence aad.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 30. Suppose 0 = -5*y + 7*y - 32. Calculate the remainder when h is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 4 - 12 + 7 + 2*z**2. Let s be p(1). Suppose 0 = -s*q + 2 - 4. Which is the nearest to -1\/3? (a) q (b) -1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 10, -25 - 18 = -5*l + b. Suppose -4*k + l = 1, -4*r + 5*k + 2674 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-four fifths of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/4353942 and -59\/156?\nAnswer: 113202492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f**5 - 33*f**3 - 4*f + 33*f**3 wrt f.\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3026?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 469 = r, 8*r - 10*u - 3787 = -5*u. List the prime factors of r.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*4036273.\nAnswer: 887980.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -1110, -1660, -2210, -2760, -3310?\nAnswer: -3860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + v + 3. Let r(l) = l**2 - 6*l. Let m be r(6). Let y be m\/(2 - 4 - 0). Is u(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -146 (b) 1 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-16) - 31\/(-2). Let q be ((-36)\/l - -2)*-5. What is the units digit of (q + 10\/(-4))*-94?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-130)*(-2)\/(-3). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 2*k + 7. Calculate p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828 smaller than 23311\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**7 + 6*z**3 - 10. What is the third derivative of x(h) wrt h?\nAnswer: 1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 - 2. Let b be f(0). Sort 14, b, 12, 0 in ascending order.\nAnswer: b, 0, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 9*u + 2. Let n be k(9). Suppose 65 + 7 = 3*o. Suppose 0 = -4*x - 4 + o. Solve -10 = x*h - 2*p, 7*p - 25 = n*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 254829.84 months?\nAnswer: 212.3582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7639, 15279, 22917, 30553, 38187, 45819?\n\"Answer: -m**2 + 7643*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 4. Let x be u(-9). Suppose j + x*j = 7*j. Suppose 3*l + 3*z - 17 - 13 = j, -2*l = 5*z - 32. Let v(w) = w**2 - 5*w + 4. What is v(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.06 (c) -2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - -2021304?\nAnswer: 2021434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*p + 279 = -40*p. Suppose 2*j = 3*v - 3*j - 39, v + 4*j - 30 = 0. What are the prime factors of (-117)\/(-6)*p\/(v\/4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515688 a multiple of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14025344 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1292207003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/9 + 40*r**4\/3 + 2102*r**3\/9 + 10348*r**2\/9 + 4955*r\/3 + 6500\/9 = 0.\nAnswer: -100, -13, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:30 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65790 not equal to 65800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10693377?\nAnswer: 3, 97, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17679*r**2. Let l(f) = 4*f. Give m(l(s)).\nAnswer: 282864*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-14))\/((-15)\/84) - (-132)\/(-21).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666853974.\nAnswer: 2, 3, 601, 61643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/126*(-5)\/((-30)\/(-9)))\/(2\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, a: 1, u: 5, h: 7, g: 2}. Give prob of picking 1 r and 1 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 1126560.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1506 + -1498. Solve 4*g - 6 = 3*p + 4, w = -2*p + 4*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110646 (base 11) to base 4.\nAnswer: 223011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -7*b**6\/8 - 277*b**5\/6 + 100*b**4\/3 - 10*b**2 + 11. Solve v(p) = 0 for p.\nAnswer: -80\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48201a (base 15) to base 13.\nAnswer: -939cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -1 - 3\/2*v**2 + 1\/3*v**3 + 2*v. Suppose 0 = 4*c - 3 - 5. Determine p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 + -171. Put -0.01, -0.4, l in decreasing order.\nAnswer: l, -0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2. Let y(d) = -47*d**2. Determine i(y(z)).\nAnswer: 6627*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 163, 172?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95210?\nAnswer: 2, 5, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j + 0*j + 0*j)*(0*j + 2*j - 4*j) - 3*j**2 - 3*j**2 - j**2)*((-4 - 1 + 4)*(0*j + 0*j - 2*j**3) - 6*j**3 + 16*j**3 + j**3).\nAnswer: -169*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:39 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247738407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = 4*x. Suppose 16 = -4*b, 2*q - 212 = -x*q - 5*b. What is the units digit of q\/6 - (-6)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 3*n - 7. Determine c(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70580, 70622, 70668, 70718, 70772, 70830?\n\"Answer: 2*m**2 + 36*m + 70542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26*13\/338)\/(84\/(-40) - -3).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1574802270.9999874 - 1574802142. Let w = 129 - j. Round w to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 13 + 13 - 3*m. Let b(p) be the third derivative of -p**5\/30 - p**2. Determine y(b(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 677, 668, 659, 650?\n\"Answer: -9*f + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from povvrrxb. What is prob of sequence pb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 183605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 + -49.4. Let d = 42.792 + z. Let t = -0.086 - d. What is t rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5147851ml to litres.\nAnswer: 0.0005147851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245484, 981926, 2209330, 3927696, 6137024, 8837314?\nAnswer: 12028566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -62 and -163.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 102 + 16. Let m = -6 + x. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 11*j**4 - 6*j**4 + 23*j**4 - 13*j**4 - 17*j**4 + (4*j**2 + 2*j**2 - 4*j**2)*(0*j**2 - 4*j**2 - 2*j**2) + 5*j**4 - j**4 - 2*j**4.\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 6\/5 (c) -0.1 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/9)\/((-99)\/(-54))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyummyuuuuuyuuuu. Give prob of picking 2 u.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(15\/20010). Suppose 68 + s = 5*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 21) + -1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1017 - 310. List the prime factors of x.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -90.9.\nAnswer: -92.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - -1 - 1 - -17. Suppose -2*w - b = -78. Let c = w + -1. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*a + 0 + 0 + 3*a + (-1 + 0 - 1)*(0*a + 2*a + 0*a) + 24*a - 16*a + 59*a.\nAnswer: 68*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/2, -4\/73 in increasing order.\nAnswer: -1, -4\/73, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 87 = 33*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*i - 6 - 21, -351 + 374 = -3*l - 2*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/120 - b**5\/6 + b**3\/2 - 5*b**2. Let x be y(-10). Find the second derivative of -108 - 109 - 9*i**x + 217 - i wrt i.\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7545422 (base 9) to base 7\nAnswer: -46246436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 111*t + 2126. Determine i(21).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, i: 1, x: 12}. Give prob of sequence xn.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4, -5, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 11*n - 16. Let w be i(-13). Let b(p) = 2*p + 0*p - w + 6 - p**2 + 10*p. Let z be b(7). Solve 5*q = 6 - z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/7 - 31427*q**2\/7 - 251332*q\/7 + 628380\/7 = 0 for q.\nAnswer: -31419, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31127 + 12b?\nAnswer: 31255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 14. Which is the nearest to -2? (a) 4 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1776 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(0*o**2 + 4*o**2 - o**2)*((1 - 2 + 0)*(-3*o + 3*o + 4*o) - 10*o + 0*o + 2*o) to i*o + a + v*o**3 + m*o**2 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30269 + 17312. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 27\/6. Let z = 7 - d. Solve -13 = -z*b - 5*c, -1 = c - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + q)*(205 - 205 - 11*q) + 2*q**2 + 2*q**2 - 6*q**2 + 0*q**2 + 4*q**2 - q**2 + (4 + 0 - 2)*(0*q**2 - q**2 + 3*q**2) - 3 + 3 - 2*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 248. Suppose c - 8*m = -3*m + 27, l = 4*c - 2*m. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:22 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - -1001011001111000101?\nAnswer: 1001011001110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98820.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, -23, -6.\nAnswer: -23, -6, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9091*z - 45498. What is f(-5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*w**2 + 1442*w**2 - 730*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4910 != 396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k + 1. Suppose 62*n = 23*n + 39. Let c(h) = -6*h**2 + 10*h - 8. Give n*c(w) + 10*f(w).\nAnswer: 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, 3, 17, 1227, -2, 4 in ascending order.\nAnswer: -2, 1, 3, 4, 17, 31, 1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 10)\/(1 + -2). Let n = s + 20. Solve -5*m = n - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 267 - 270 + 537.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33721524 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d + 47. Let z be n(-3). Suppose -3*s = -4*g + 54437, 0*g = g - z*s - 13588. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 10*f**2 + 8*f - 2. Let a(d) = -2*d**3 - 9*d**2 + 7*d - 2. Let s(z) = 2*a(z) - 3*g(z). What is the tens digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/4 + 4. Let h be ((-8)\/3)\/(4\/(-6)). Let q be h\/(1 + 3) + -1. Is q bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/11 (b) -2 (c) -3\/13 (d) -47 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*f**5 + 2*f**4 + 332*f**3 + 1596*f**2 + 2?\nAnswer: -660*f**2 + 48*f + 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-46))\/(u*u**48\/u*u*u*u))\/((u\/u**(2\/15)*u)\/u*u*u\/(u\/u**(11\/5))) assuming u is positive.\nAnswer: u**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n - 2. Let a(h) = 1. Let m(l) = -5*a(l) + k(l). Let s(x) = 14*x + 3. Let f(q) = -5*q - 1. Let b(y) = 17*f(y) + 6*s(y). What is -5*b(o) - m(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -10*n + 12*n. Let v be (-47)\/(-9) + 12\/(-54). What is the highest common divisor of v and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 9, -54, -3326?\nAnswer: -3326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.317*-315393.\nAnswer: -99979.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(147\/(-64))*3\/((-630)\/(-98)) and 22\/1251.\nAnswer: 6255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4\/12 + 7*m**3\/2 + m**2. Let s be n(2). What is the nearest to 0.1 in s, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1588 + 12555. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 15) in base 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2\/3*n**3 - 97 - 1\/6*n**6 - 1\/5*n**5 - n - 1\/2*n**2 + 1\/2*n**4. Determine h so that m(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1141*r**3 + 3*r + 56?\nAnswer: 6846*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:08 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1321? (a) -3 (b) -0.2 (c) -2\/5 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -500\/29 and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/5 (b) 3\/7 (c) 1\/130 (d) -164 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -44, -47, -50?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 e when three letters picked without replacement from eeggeneegnngpeeepeg.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 7) in base 2?\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5107.71 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7227.444ml?\nAnswer: 7.227444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1642*q + 1184*q - 484*q - 2015*q - 2629*q in the form c + u*q and give u.\nAnswer: -5586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 323759\/124 at least as big as 2612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p**3 - 7*p + 227 - 22 - 86 - 99. Let k(l) = 7*l**3 - 4*l + 10. Give -7*k(c) + 4*w(c).\nAnswer: 3*c**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8712 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2696.28 days to nanoseconds.\nAnswer: 232958592000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owmoooooobomobom. What is prob of sequence mb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 274?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/(-12) + (-53)\/318)\/((-1)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -0.1, 0.72 in decreasing order.\nAnswer: 42, 0.72, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + -2 + -6 + 5 - 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 1264 = 48*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(7)*-3 + 3 - (-4 + sqrt(520)\/sqrt(10)).\nAnswer: -5*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -q + 5*f, 4*f = -12 - 0. Let d = 1796\/7 - q. Is 1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0548*4.\nAnswer: 0.2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5859 + 2881. Suppose -t - 3*u + k = -3714, -10 = -2*u. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d - 88*d + 30*d - 47*d**2 + 31*d.\nAnswer: -47*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 0*r - 7 - r)*(-48*r + 46*r + 0 - 3).\nAnswer: -6*r**2 + 5*r + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*sqrt(76) + sqrt(304)*-2 + 3 + sqrt(304))**2 - (((-3*sqrt(19)*3 - sqrt(19)) + (5*(sqrt(19) - sqrt(19)*-2) - sqrt(19)))**2 + 4).\nAnswer: 112*sqrt(19) + 957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2044782747.\nAnswer: 3, 7, 71, 457139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-259)\/(-35) + -11)*-470. What is the greatest common factor of i and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17080 (b) 0.011 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 154*w**2 + 7*w - 7. Let c(r) = -51*r**2 - 2*r + 2. Give -2*a(z) - 7*c(z).\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2297, -0.5, 2, 124, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 41 = -2*i + 3*i, 0 = 3*u + 5*i - 58. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17879 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*y + 6, 15 = -5*a + 3*y - 2*y. Let s be 30\/a*2*(-3)\/12. Suppose i = s*i - 8. Solve -4 = i*l, -4*n + 5*l = -3*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**7\/720 - j**6\/180 - j**5\/6 + 7*j**2. Let z(d) be the third derivative of h(d). What is the derivative of z(c) wrt c?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 33. Solve 15 = -5*v - y*m, 0 = -5*m + 12 + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/1 - (2 + -2). Suppose -x*g + 0*g = -40. Let r = 20 - g. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1656\/126)\/(13\/819*18)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10742334 to the power of 1\/2, to the nearest integer?\nAnswer: 3278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 7*q**2 + 7*q - 6. Let h be b(-8). Suppose -5*g = 2*i + h*i - 98, -36 = -2*i + 4*g. Is 2 a factor of i\/5 - (-2)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023719000 rounded to the nearest 1000000?\nAnswer: -1024000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4 and 47\/212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**4 - 20842*z**2 + 33088.\nAnswer: 4*z**3 - 41684*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7 - 19 = -2*s, 8*p = -s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 11*l**3 - 2*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2443*t**3 + 3*t - 71 wrt t?\nAnswer: 14658*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 20. Let o be b(20). What is the closest to o in -2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*36\/(-270)*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -65 + 26 + 2*a**2 + a**3 + 7*a**3 - 2*a + 35. Let n be m(-2). Let r be 4\/n*(-2 - 2). What is the closest to 2 in 1\/14, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/33 + (-4)\/(-22). Let k(p) = p**3 - p**2 + 3*p - 1. What is the units digit of k(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -33 - 1832*m - 4 + 129*m - 860*m. Is o(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*n + 25. Let h(p) = 5 - 3 - n. Let o = -1827 + 1825. Let m(s) = -2*s + 3. Determine o*m(a) - 6*h(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/8 - 637*c**3\/8 + 5141*c**2\/8 - 12243*c\/8 + 1935\/2 = 0. What is c?\nAnswer: -645, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/21 - 3\/(-9). Let s be ((-1)\/(-1))\/(3\/9). Let g = 4 - s. Solve q - g = t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7591 = 5*l - l, -2*k = -l - 1889. What is l rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000010 - -101?\nAnswer: -100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5522422.\nAnswer: 2, 733, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h + 4*h = 0. Let u be -29 + (0 - (2 - h)). Let g = 137 + u. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (178\/4)\/((-8)\/48) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:04 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -27551 >= -25332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*r - 120 + 120)*(37*r + 77*r + 59*r) as k + c*r + x*r**2 and give x.\nAnswer: -2422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -20*x**3\/3 - 73*x. Let s(v) = -3*v. Determine s(l(d)).\nAnswer: 120*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, z: 3, h: 1, f: 1, q: 1}. Give prob of picking 1 z, 1 h, and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 684454 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from npnclcccccrccnrlccn.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 96*y - 44. Let i be m(-29). What is the second biggest value in i, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 3*h + 1. Let y be i(3). Let o be (y - -1)\/(1\/2). Suppose -3*b + 4*b + 5*r = -12, 9 = -2*b - 5*r. Sort b, o, -4 in decreasing order.\nAnswer: o, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 - -3.8. Let b = s - -1.69. Let u = b - -1.21. Which is bigger: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -4393505220?\nAnswer: 4393505219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57212312 rounded to 2 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 11*h + 4. Let k be n(-11). Suppose 0 = 2*o + k, o = -4*y - 5 - 9. Is y less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**8\/3360 + k**7\/840 + 2*k**3\/3 - 5*k. Let a(j) be the second derivative of x(j). Factor a(l).\nAnswer: -l**3*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - c + 1. Let j(y) = -y. Let v(o) = d(o) + j(o). Let n be v(-2). What is the greatest common divisor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 97*g**2 - 15*g - 1285. Calculate w(49).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2 + (-1)\/1)\/((-22)\/(-352)) and 58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4818, -19277, -43376, -77115, -120494, -173513, -236172?\n\"Answer: -4820*x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001499875066 to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 2:09 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 15*v + 10. Give n(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3532347 and 67\/1630314.\nAnswer: 21194082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 - 2*b**2 + b**2)*(0 - 4 + 6) - 5*b**2 + 10 - 10)*(-b**3 + b**3 + 2*b**3).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/w*w\/(w**(-1\/6)*w)*((w\/(w**(-4\/5)\/w))\/w)**(-34) assuming w is positive.\nAnswer: w**(-1831\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-780)\/(-25))\/4 - (42\/(-30))\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**7\/945 - 8*y**6\/135 + 52*y**5\/45 - 32*y**4\/3 + 48*y**3 + 3*y**2 - 6. Determine b so that a(b) = 0.\nAnswer: 2, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 3997121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3164254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/63 - 5\/63. Sort -0.5, b, 1, 0.5 in increasing order.\nAnswer: -0.5, b, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 8, v: 4}. Give prob of sequence tdvd.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52221 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -474*u**4 + 427*u**3 + 2*u**2 - 2502543.\nAnswer: -1896*u**3 + 1281*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 5. Let s be (-6)\/((0 - -1)*-2). Let h(i) = -1 - 6 - 1 - s*i. Calculate -8*f(a) - 5*h(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 469461\/20 + -23475. What is the common denominator of c and 139\/12858?\nAnswer: 128580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -36790*m. Let i(c) = 16*c. What is i(d(f))?\nAnswer: -588640*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34794523)\/(-658) + 3\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 6 - 0) + (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v - 2*b, 19 = -0*v - 4*v + 3*b. Let l(q) = 29*q**2 + 3*q + 39. What are the prime factors of l(v)?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1402.22255 - -1406.22255015. Let w = j + -4. Round w to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7056)\/2112)\/49*-8\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 6*y + 99. Let l be -6*y\/30*(-2)\/4. Let a be 18\/(-8)*2\/(-6). What is the biggest value in -3, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 4. Suppose -8*s + 2 = 42. Let l(t) = -2*t + 3. What is s*l(u) + 4*i(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2144322594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -626*n + 12. Let m be k(-1). What is the greatest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*p + 4*k, 4*p + 6 = 7*p - 2*k. Let f be (6\/p + -1)*48. Let q be 1\/6 - 4\/f. Sort q, -4, 10.\nAnswer: -4, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*w**3 + w**3 - 2*w**3)*(-51*w**2 - 47*w**2 + 41*w**2).\nAnswer: 969*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 502 or -15272?\nAnswer: -15272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.118 and -116047.\nAnswer: -13693.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 2*p**2 - 152*p**3 - 307*p**3.\nAnswer: -459*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (10 + (3 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -8, 4\/3, 2, 15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, 1\/26, -1\/17 in increasing order.\nAnswer: -4, -0.4, -1\/17, 1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -1, 2\/3, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 200*r - 147. Let q(j) = 67*j - 48. Let b(s) = 2*a(s) - 7*q(s). Find the first derivative of b(v) wrt v.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(54) + 0 + 4*5*(1 + sqrt(3)).\nAnswer: 20 + 61*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 11. Let u be 3 + 196 - (4 - (-2)\/2). Suppose -342 = -u*h + 185*h. Is d less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let h(l) = l**2 + 6*l + 1. What is the least common multiple of z and h(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 3*h**5 + h**5 + (2 - 2 - 2*h)*(-h**4 - h**4 + 5*h**4).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/41? (a) -0.4 (b) 0.04 (c) -0.03 (d) 1 (e) -0.1 (f) 302\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 23*j - 3. Let r = 7 + -5. Let b be x(r). Let y = b + -19. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from hlll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*i + 3*i - 30, i = y. Suppose 3*s = 2*r + 371, 5*r - y*s + 745 = r. What is r rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 112 - -57b41?\nAnswer: 57c53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 33 = 3*c + 2*c - 3*t, 0 = 47*c - 7512*t + 7509*t + 227 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1660779399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 26. Solve -k*a = -3*u - 6, 2*a - 3 - 3 = -2*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + (-9)\/12. Let v(b) = -b**2 - b + 1. Let x be v(p). Let h = 16 - 14. Solve 2*j - x = -3, -3*w + 2*j = -h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-4 + 5 + 0)*(-1285*p**3 + 29*p - 28*p + 1175*p**3).\nAnswer: -220*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*v + 697646 = -43*v + 227043. What is the remainder when v is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256337 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 5*h - 760, -306 = -2*h + 3*c. What are the prime factors of ((-3)\/(-9))\/(1\/h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 2) + 21 + (4 - (40 + -4))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20250105 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*v + 17, 8*m + 29*m - 2*v + 6*v - 1 = 58*m - 22*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**3 + 44 + f**3 - 47*f + 27*f**2 + 3*f**3 - 8 + 63*f**2. What is the thousands digit of z(44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -4*r - 3*m - 47, -3*r = -m - 222. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*1\/(0 + 1). Let k(q) = -2*q**3 + q**2 + 2*q + 1. Let o be k(-1). Let w(n) = -4*n**2. Let z(p) = p**2. Calculate l*w(u) + o*z(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 265 + 5. Suppose -s = n + 4*n. Does n = -44\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - 33\/22*-2. Let o = 47\/2 - 187\/8. Let r = o + -3\/8. What is the second biggest value in -1, r, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + f = 2, -4*t - 2 = 3*f + 3. What is the fourth biggest value in -1\/4, t, 8, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Suppose 200 = v + 208. Let j be -1 + 7 + v + 9. What is u(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 713, 765, 847, 965, 1125, 1333?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 4*l + 26, -6*v = -2*v - l + 25 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 12:05 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2108 and 253810?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 258434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6015.9 + -6016. Put -0.5, b, 0.3, 1\/6, -2\/31 in ascending order.\nAnswer: -0.5, b, -2\/31, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/264 and 33\/40.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -3, 473\/4, -163 in descending order.\nAnswer: 473\/4, -0.9, -3, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**2. Let k(o) = 2*o + 2. Let u(n) = -9*n - 1. Let l(y) = -k(y) + u(y). Determine p(l(q)).\nAnswer: -968*q**2 - 528*q - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26835.747784 - 26930.748. Let c = -95 - h. Round c to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51577 is divided by 17158?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -249286053 divided by 3837?\nAnswer: -64969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.03 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -52. Suppose -2*n = 2*n - z. Suppose -n = 3*k - 4*k. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 86, 19\/4, -4?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24191544 and 14586078.\nAnswer: 991853304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 2. Let c(y) = y - 4 - 2 + 0*y + 5. Let a(z) = 4*c(z) + 2*n(z). What are the prime factors of a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 6*v - 10. Let m(b) = 2*b**2 + 13*b + 19. Let q(y) = 5*d(y) + 3*m(y). Let z be q(-8). Which is greater: -1\/4 or z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211001002 (base 3) in base 2?\nAnswer: 1000101110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 43695*w**2.\nAnswer: -w**2*(w - 131085)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/((-476)\/112)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57866 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18*-8*442*(-2655)\/(-18408).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15 - t - t**3 + 12*t + 6*t - 16*t**2. Let l be g(-17). Solve -3*b + l = 2*a + 2*a, 0 = 3*a + b - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -36. Let k be p\/2*(-18)\/27. Suppose 2*u - k*u - 9 = 0. What is the third smallest value in u, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -24, -6784, -5 in increasing order.\nAnswer: -6784, -24, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 39*f - 4. Let v be c(-4). Let l be (4\/(-6))\/(v\/30). Sort l, 0.2, 0 in increasing order.\nAnswer: 0, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1894 from -617607.6748.\nAnswer: -617607.4854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6012166 centuries in decades?\nAnswer: 6.012166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 2*h + 0*h - 2*h - 5. Let d be x(5). Suppose 3*c - 4 = 8. Solve d = -c*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7869958 + -1?\nAnswer: 7869957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4506.26027989 - 0.3\nAnswer: -4506.56027989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 103734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -18. Find the third derivative of -44*o**2 - y*o**5 + 59*o**2 - 31*o**2 wrt o.\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - 16543331?\nAnswer: -16543362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f - 5. Let w(x) = x**2 + 3*x - 5. Let p(h) = -5*q(h) + 4*w(h). Let g = -79 - -83. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2.7 (c) -1\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 901327*t. Let i(c) = -10*c**2. Determine q(i(j)).\nAnswer: -9013270*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1371*n**4 + 29*n - 2443*n**4 - n**3 - 1 + 1187*n**4 + 2*n**2 as q*n**4 + a*n + m*n**2 + d*n**3 + y and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-2 + sqrt(128))*-4 + sqrt(128) + 6*(-1 + sqrt(128)))**2 - (sqrt(128) - (sqrt(128)*-3)**2)*-2*1)*-1.\nAnswer: -112*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/12 - 55*f**4\/24 - 3*f**2 + 13. Let g(w) = 0. What is w?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*v + 20 = 546*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.7 - -9. What is the third biggest value in k, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-28)\/(k\/(k\/k**(-5))*k**(-5\/3)\/k))\/((k**1\/k)**(2\/39)*(k*k**(3\/4))\/(k*k**(-1\/6))) assuming k is positive.\nAnswer: k**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 164 = -56. Let v be 5 + (-6)\/p*16. Let b(n) = -n. Let o be b(2). Sort o, v, 0.7 in descending order.\nAnswer: 0.7, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 30 = -5*r, 3*h + 4 = -4*r + 31. Solve 9*a + 12 = h*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 30459465 = 11629465. Round t to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9291991 and 508141?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**4\/12 - 2*c**2. Let b be (-6)\/(-4) + (-1)\/(-2). Suppose -b*f - 9 = f. Determine s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 5*w**2 - 2*w. Let k(l) = -24*l + 16*l**3 + 17*l - 3*l**2 - 13*l**2. Let o(j) = 7*g(j) - 2*k(j). Factor o(n).\nAnswer: 3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -14, -28, -56, -104, -178, -284?\n\"Answer: -t**3 + 2*t**2 - 5*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 + 10 = 0. Suppose q - k*q = -38. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -427*x - 3119. What is v(-7)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*q - 23, 11*y + 31 = 7*y - 3*q. What is the closest to -4 in -0.5, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38962*w**5 - 120671*w**2.\nAnswer: -2337720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -589 - -1768\/3. Let m(o) be the second derivative of u*o**4 + 2*o**2 + 1\/2*o**3 - 5*o + 0 - 1\/20*o**5. Calculate m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10002 = 8\/711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 352, 349, 346, 343?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9594655607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.33 minus -0.096?\nAnswer: 170.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3634346*u**2 - 2836200*u wrt u?\nAnswer: -7268692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 325228, 325230, 325232, 325234?\n\"Answer: 2*v + 325226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58915805?\nAnswer: 5, 13, 43, 107, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 1625 + 173 - 1086 - 941.\nAnswer: -2*p - 3479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*t - 4*i, 1558*i = 1553*i - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**2 - 11*w + 12. Let x(c) = -3*c**2 + 3*c - 3. Let f(u) = 2*t(u) + 9*x(u). Give f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7589*n**2 - 4 + 4*n - 2*n + 4 - 3*n.\nAnswer: 7589*n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1)*x**(-2\/17))\/((x**(-2\/3)\/x)\/(x\/x**(1\/9))) assuming x is positive.\nAnswer: x**(679\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5417002 + 802.9614002. Let d = s + -825.419805. Let j = d + 24. What is j rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*r + 4*r - 170, 0 = r + 5*s - 80. Does 21 divide 1508\/18 - (6 - 560\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17809, -17806, -17803, -17800?\n\"Answer: 3*d - 17812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let z(f) be the second derivative of -f**5\/30 - f**3\/2 - 4*f. Let k(s) be the second derivative of z(s). What is m(k(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25000 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1564 = -65*x - 3169 + 638 for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -135375, -135373, -135371, -135369?\n\"Answer: 2*t - 135377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -2 in ascending order.\nAnswer: -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igouuhi. What is prob of sequence gu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121\/12 + 31\/3. What is the nearest to 2 in x, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + i + 12136 = 12109, -3 = -5*s - i + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 5 + 30*p**2 - 292*p**3 + p - 51*p**2 + 22*p**2 in the form b*p**2 + h + i*p**3 + t*p and give i.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k + 1. Let j be b(-2). Let z = j + -11. Let l = 21 - 16. Calculate the lowest common multiple of z and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14 - 1 + 2 - w. Let x be -6 + (1 - 3) + 2. Let l be q(x). Which is the third smallest value? (a) 0.2 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 2 - 5*c**2 in the form f + t*c + r*c**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5033227kg?\nAnswer: 0.0005033227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 193972*n**3 + 3*n**2 - 193971*n**3 + 16 - 128 + n**4 in the form z*n + f*n**3 + p + r*n**4 + d*n**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/10 (b) 3 (c) 7 (d) -220 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 2. Suppose -2*m = d + 2*m + 16, d + 7 = -m. Calculate o(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**5\/5 + y**4\/6 + 5*y**3\/6 - y**2 - 53*y. Is i(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2475 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.47 + -6.23. Let n = 6.4 + s. Sort n, -0.5, -5, -14.\nAnswer: -14, -5, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + -656849?\nAnswer: -656896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - 2*q)*(-9 + 11 + 14) - q + 3 + 4 - 6.\nAnswer: 31*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -17611882 equal to -140895059\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/39215*-31 - 162\/(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*y = 7, -4*y - 9 - 35 = -3*d. Suppose -10*a + 60 = -d*a. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/850 and (-188)\/4794*426\/(-160)?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*x**2\/3 + 61*x\/3 + 100.\nAnswer: -(x - 4)*(34*x + 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-68 - (-13 - (4 - 6)) - -10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -1\/4*g**4 + 2 - 4\/3*g**3 - g**2 - 3*g. Determine m(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.224 and -7175.11637.\nAnswer: -7175.34037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47547*k + 220 = 47525*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 6*h - 9*h + (-1 - 1 + 0)*(9 + 11*h - 9))*(-1 - 3 + 7)*(0 + 3 - 1)*(1 - 1 + 2)*(-4 + 0 + 2) in the form w*h + t and give w.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 5) in base 13?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msmr when four letters picked without replacement from pmmpsprpr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 2. Let t be x(-4). Let j be (2\/(-2))\/(t\/(-8)). Suppose 5*y = j*y. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 31 - 26 = 0. Suppose -5*u - q = 2*q - y, -4*q = 8. Let r(g) = g - 2. What is r(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -4.4137852391?\nAnswer: -4.5137852391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 17. Let f(b) = -5*b - 39. Determine 2*f(m) + 5*x(m).\nAnswer: 5*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 - 4. Suppose 18 = 100*r - 103*r. Let l = r - -4. Let u(j) = 3*j**3 + 3. Determine l*k(h) - 3*u(h).\nAnswer: -3*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:38 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 30*n + 90. Let b be k(-27). Suppose 5*l - 42 = -b*l. Solve -w = 5*t + 17, l*t + 15 = -2*w + 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.623189 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 276\/84 - ((-48)\/(-21) + -2). Let z be (m + 1)*(-1)\/(-18). Find w, given that 0 - z*w**3 + 2\/9*w**2 + 0*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1645 and 1645 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -660 + 1321\/2. Let v(p) be the second derivative of 5\/6*p**4 + 0 + u*p**3 + 10*p + 0*p**2. Find the second derivative of v(y) wrt y.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -25 (b) 0.2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 9020*q + 2989*q + 2973*q + 3*q**3 + 3058*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -398 divided by -97\nAnswer: 398\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 1. Let w(o) = 7*o + 2. Let x(k) = -6*b(k) + w(k). Let u be x(-6). Is (1122\/9)\/(u\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/120 + 9*q**3\/2 - 30*q**2. Let w(j) be the first derivative of o(j). Let a(d) = 6*d + d - d. Determine a(w(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-1 - 8) + 13 - (1 + -9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*((6*(1 + sqrt(192)) + sqrt(192) - sqrt(192)) + sqrt(192)) + -1*sqrt(192)*-5*4)**2 + -4.\nAnswer: 9248*sqrt(3) + 222237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188652080 by 80.\nAnswer: -2358151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b5b924 (base 12) in base 8?\nAnswer: -70364154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8706 to 2 dps.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**2. Let g(k) = -56*k**2. Let i(z) = 6*g(z) - 40*u(z). Let j(q) = q**2. Let d(h) = -i(h) - 5*j(h). Let t(y) = -y**2. Give t(d(c)).\nAnswer: -121*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 33 = 33 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -72.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1010000011?\nAnswer: -1010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2164 or -1105?\nAnswer: -1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1821, -3661, -5503, -7347, -9193, -11041?\nAnswer: -12891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288\/720*301870\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t + 2. Let a be z(-2). Let l be 8\/(-2)*(-3)\/a. Let o = 0.02 + 0.08. What is the nearest to -1 in o, l, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.263, 5\/6, -5\/4 in decreasing order.\nAnswer: 1, 5\/6, -0.263, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 88\/5 of a milligram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -0*f - 2*f - 308. What is the remainder when 177 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -634383 + -3?\nAnswer: -634386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -468273 and -154.\nAnswer: -468427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.3 and 0.144365305.\nAnswer: 3.444365305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248681, -994720, -2238117, -3978872, -6216985, -8952456, -12185285?\nAnswer: -15915472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 4*p. Suppose p*x - 12 = -x, -d - 5*x = -17. Suppose -o + d*o = 10. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*i = n + 8, -n - i = 4. Let m be 1\/2 - (-1)\/n. Let k = -383\/7 + 55. Which is the closest to k? (a) m (b) -3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-1)\/((-25)\/(-10))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 - 3*a. Let s(f) be the first derivative of -3*f**4\/4 + f**3 + 4*f**2 - 67. Determine 8*d(w) + 3*s(w).\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-30)\/(-105) - 2\/(28\/(-3))).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23711 - -711287\/30. Let y = 36694\/45 + -816. What is the common denominator of y and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38825729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, 0, -6, -4, 26 in increasing order.\nAnswer: -47, -6, -4, 0, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108053?\nAnswer: 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 49, -5, -6, 1, -147 in descending order.\nAnswer: 49, 1, -4, -5, -6, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -535 - -529. Let n = 6 + -5.6. What is the closest to -0.04 in f, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 805 - 197 - 205 - 2*a**2 - 202 - 203 - 1127*a in the form v*a + p*a**2 + m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*o = -80, 2*o = -2*b - 2*o + 104. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + r - 1\/3*r**3 - r**2. Let a(w) = w**3 + 11*w**2 + 4*w - 53. Let b be a(-10). What is p(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 39*c**2 - 379*c + 141. Let t be k(47). Solve -5*v + 5*s + 10 = 0, -4*v + t = 5*s - 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.308 + -0.092. Which is the third smallest value? (a) 45 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1535*c + 27661. Calculate d(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 11) to base 6.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.058 + -58. What is the closest to 0.1 in 3, 1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g, 5*v + 28 = 2*v - 4*g. Let c(f) = -f**3 - 6*f**2 - 20*f - 65. Does 9 divide c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -594*r + 52892. What is j(89)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 + 4 + 97 + 203)*(0 - q + 0).\nAnswer: -386*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 59. Let y be -2 + (-304)\/(-3) - 22\/r. What is the highest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(-1 + sqrt(3))*4 + -3*sqrt(6)\/(sqrt(2) - sqrt(98)).\nAnswer: -20 + 49*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-10 - -22) - 14) + (0 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -4, 305429, -1\/3, 2\/5 in descending order.\nAnswer: 305429, 3, 2\/5, 0.2, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/2160 + (-1 - (-10)\/9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/21 - (-9)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213457 (base 10) to base 8.\nAnswer: 4502021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -1)*(-45)\/20. Let v be -6*o\/2 + -3. Calculate the highest common factor of 216 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -13*y + 7*y. Differentiate 14 + 11*s + 20*s - y*s - 5 with respect to s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062651 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95018753 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 30439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2398420 or -2398419?\nAnswer: -2398419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 - 7*q - 2. Let j(u) = -11*u**2 + 10*u + 3. Determine -5*j(y) - 7*l(y).\nAnswer: 6*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 3*m + 1. Let z be w(5). What is the units digit of (8\/3)\/((-3)\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -19\/3. Let d(y) be the third derivative of -y**4\/24 + 2*y**2. Let q be d(-5). Sort a, q, 0.4.\nAnswer: a, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 38. Let n(q) be the third derivative of -q**4\/6 - 2*q**3\/3 - q**2. Calculate the lowest common multiple of n(-6) and t(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 10. Let a = -45 - -193. Let y = -22 + a. What is the greatest common factor of n and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*h - 496 = 41*h - 178*h + 91*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86980971 and 1386?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + s = -2*s + 64, 0 = 3*s - 12. Which is greater: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 - 222 + 23 = 109*o. Let n be (-3)\/(-21)*(-14)\/(-12). Put n, -4, o in ascending order.\nAnswer: o, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 8*a + 9. Let z be j(9). Suppose -z = -5*n - 9. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3\/17 (c) 1 (d) -5 (e) -87 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 89*p**2 + 11*p + 11. Suppose -1127*z + 1122*z = -10. Let y(f) = -18*f**2 - 2*f - 2. What is z*h(m) + 11*y(m)?\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15108 + 15110. Let r = -67\/36 - -17\/12. Which is the nearest to 0.2? (a) 8 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a hour in seconds?\nAnswer: 85200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147600 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -44*c**3 + 1. Let f be l(1). Let z = -17 - f. Let k = -7 + z. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.337 * -12.\nAnswer: -4.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 4. Let s be y(7). Which is smaller: -17 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189028 is divided by 4986.\nAnswer: 4546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 3:04 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 14. Let w be m(0). Suppose z - 6 = -2*z. Suppose -a = -z*a + w. What is the remainder when 26 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**2\/2 + 13*u + 2. Let v be x(10). Suppose 4*d = -v*h + 463, -d = 6*h - h - 120. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 32 - 37 = 0. Solve -j + n*j = 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 4. What is the least common multiple of d(3) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4245?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -161? (a) 303 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45309503 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 1, v: 1, w: 1, g: 2, p: 1}. Give prob of sequence wwv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(81)*-1 + sqrt(81))*-3)\/(-3*1*sqrt(108)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 q, and 2 v when four letters picked without replacement from vvvqtxxnvqxttvnn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(56)\/sqrt(200))**2 + sqrt(14)\/(-6*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(7)\/6 + 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 3*u**2 - u + 1. Let v(f) = -31431*f**2 - 10477*f + 10477. What is -10477*n(g) + v(g)?\nAnswer: -10477*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 + 1a5a?\nAnswer: 1a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10 - 206\/515.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by 64?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 7*i**2 - 20*i - 16. Let h be g(-9). Let j = 0 + 1. Solve -h*k = 7 + j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**3 - 4*t + 5. Let z(d) = 3*d**3 + 5*d - 6. Give 5*o(m) + 4*z(m).\nAnswer: -3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - 18c?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**9\/1512 + v**5\/30 + v**3\/2 + 3*v**2. Let k(b) be the first derivative of g(b). Find the second derivative of k(t) wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48352064 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101011001100000 (base 2) to base 15.\nAnswer: 25a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + i + 10. Suppose 3*r - 4*y = -0*y + 39, -19 = -2*r + i*y. Calculate the remainder when 67 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 ((-2)\/12)\/((-1)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 178506 = 2*j + 178512, -5*j - 9 = -2*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -36*o + 8. Suppose -32 = 4*p - 8. Let k be 10\/(-1)*p\/(-15). Let n be f(k). Calculate the highest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2 and -97\/4394?\nAnswer: 4394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -704*a + 2239. What is m(3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -4\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -13*a - 18. Let t be (-2)\/a*(19 - 7). Suppose -15 + 71 = 4*y + t*v, 5*y - 3*v = 62. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.551 + 0.449. Let z = -4 + 4.1. Sort 0, -3\/2, v, z in ascending order.\nAnswer: -3\/2, 0, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.1 - 8.73. Let s = 0.07 - c. Let z = 0.24 + s. What is z rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 2. Let p be g(2). What is the second biggest value in 5, 7, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i + 23. Let g be m(6). Let x = -661 - -4615\/7. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11363122 to four dps.\nAnswer: 0.1136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 7*v + 69 - 37.\nAnswer: 7*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -166, -172, -180, -190, -202, -216?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 116 = -d - 0*d, -4*k = 2*d - 128. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/52)\/(((-35)\/7)\/(-5))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 4:25 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-4 + -3 + -3) - (6 + 1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/609 and 113\/348.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/13695504 and -109\/88?\nAnswer: 150650544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-60) - 0)\/((-1)\/(-6)). Let m = -88 - -88.03. Which is the closest to 2\/3? (a) m (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160680.1 days to nanoseconds.\nAnswer: 13882760640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1519551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (4 + sqrt(175) + 1)**2 + sqrt(175) + sqrt(175)*-2 + 2)*-2*2*-2.\nAnswer: 400*sqrt(7) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 less than 0.11?\nAnswer: -1793.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*s - 13 - 18 - 5 + 42)*(6*s - 21 + 21) in the form z + w*s + h*s**2 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094 = -361*z - 2877 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111403 and 4242?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -53303*j + 27. Let s be z(-10). Let m = 2348355 - s. Suppose m = -3*t - 1124702. Round t to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*z + 63*z + 84*z + (-2 - 2*z + 2)*(1 + 2 - 1))*(-16*z + 32*z - 13*z).\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/3 + 826*v**2\/3 - 31330*v + 583050 = 0?\nAnswer: 23, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 54*i**2 - 38 + 19 to w*i + q + t*i**2 and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000357628 to 7 decimal places.\nAnswer: -0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -1649a6?\nAnswer: -164a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1491159*m**2 + 46*m + 267. Let f be o(-11). Round f to the nearest 1000000.\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -7*u**6\/30 + 2*u**5\/25 + 7*u**4\/20 - 2*u**3\/15 + 45. Determine g, given that s(g) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(28*z + 9*z + 33*z + 16*z).\nAnswer: -86*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 1, f: 2}. Give prob of picking 1 p and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -181.97. Let o = l + -0.03. Let w = -14.1 - -14. What is the nearest to o in 0, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 - -2.19. What is the closest to -0.1 in -0.1, -3, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 139, -1\/10, -2, 0, -15485, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 20*p + 52. Let l be o(6). Suppose 4*c - 25 = -c. Solve 0 + 2 = b + c*u, -l*u = -4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2.155, 3, -58 in ascending order.\nAnswer: -58, -2.155, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3*(-4)\/(-36)*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -46. Let f(k) = k**2 + 19*k + 29. Let z be f(u). Let j = z - -83. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - 39. What is q rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2) - (-4 + 2). Let c(o) = o**3 + 4*o**2 - 3*o + 5. Let l be c(-5). Let k(b) = b + 3. Let h be k(l). Put -2\/13, f, h in increasing order.\nAnswer: h, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - sqrt(64)*-1)\/sqrt(2).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44687456 divided by 1607\nAnswer: -27808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15239700 and 650?\nAnswer: 198116100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -11884084?\nAnswer: 11\/11884084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + 8 - (0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19133 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 + 67*f. Let v(p) = 16*p**2 - 133*p. What is -4*v(d) - 9*x(d)?\nAnswer: -d**2 - 71*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2017, 4033, 6049, 8065, 10081, 12097?\n\"Answer: 2016*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 775561273 - 2?\nAnswer: 775561271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 329\/5. Let s = 62.26 + -64. Let j = s + -0.26. Which is the nearest to -0.1? (a) -4 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(3) + 1 + sqrt(44) + (sqrt(44) - (sqrt(88)\/sqrt(2) - sqrt(44))) + 1)**2.\nAnswer: 24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 43 - 14 + 27)*(-2*r - r - r) as a + p*r and give p.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202040*z + 202040*z + 3*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.4 - -14.48. What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from pqppppxqepqn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1449 + 2388 - 17229 = -348*p - 2367*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54 (b) -0.2 (c) 2 (d) -8\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 38. Let l = w - 12. Which is the nearest to 0? (a) -1 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -31*g**3 + 11*g**2 + 30*g - 6. Let m(r) = 6*r**3 - 2*r**2 - 6*r + 1. Suppose -432*s = 137*s + 55*s + 1248. Calculate s*h(c) - 11*m(c).\nAnswer: -4*c**3 + 6*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -121 (b) 0.15 (c) -2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*i - 2*i - 78, -81 = -4*h - 5*i. Let v be 9\/h + 1 + -1. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6 - 9. Suppose k*j = 180 - 425. Find the common denominator of (-85)\/6*(-21)\/j and -61\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 = -40. Let l = -16 - -23. What is the greatest common divisor of w and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -19*m. Determine f(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 12*h - h + h**3 - h**4 - h**3 in the form r*h + d*h**3 + i*h**4 + x + t*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 37766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16861680 and 958050?\nAnswer: 84308400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 4)*(-2)\/4. Solve 2*t - 4 = 0, f*t - 3*t = -2*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -m + 17, 0*i - 4*m - 22 = -2*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(7)*6 - (sqrt(14)\/sqrt(2) + 3).\nAnswer: -3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20010101222 (base 3) to base 5.\nAnswer: 12324311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -226325 != -226325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 28 (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3747 - 39*c**2 + 1241 + 1245 + 1263.\nAnswer: -39*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -17*s + 5. Let h(c) = -6*c + 2. Determine -8*h(o) + 3*x(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -296 + 6a?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 758092841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1) - (-4)\/2. Suppose w = -3*l + 13. Suppose f + 2*f = -s - 1, -l*s + 4*f = -44. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 76. Let t(g) be the second derivative of 1\/3*g**3 + 0*g**2 + 0 - 25*g. What is h(t(d))?\nAnswer: -4*d + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -48, -5, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18867 - -151822. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = q - 18, 3*k = -8 - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*x**3 - 1349*x + 4049*x + 122*x**3 - 1349*x - 1351*x.\nAnswer: 767*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 + 2*r**3 - 4973*r**2 + 36039*r.\nAnswer: -12*r**2 + 12*r - 9946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h = -57246 + 55734 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1198, 4667, 10406, 18415?\n\"Answer: 1135*j**2 + 64*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3386*r + 67. Let t be p(-17). Suppose 13*k - 5564 = t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 45*c + 822. What is the remainder when 186 is divided by f(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255386.\nAnswer: 2, 3, 11, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 5. Let s(z) = 2*z + 3. Suppose 0 = a - 24 + 28. Determine a*t(l) + 7*s(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -2\/13, -1466.7, -2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*o**3 - 4*o**3 + 5*o**3 + (788 - 49*o**3 - 788)*(-4 + 4 - 1).\nAnswer: 73*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 > -156\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(56\/(-72) + (-2)\/9). Suppose m = -11*a + 3*a + 64. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 6151, 15840, 29391?\nAnswer: 46804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 298?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1 + 2 + 0 + 3 - 3 + 4 + 0 + (1 - 1 - 1)*(-5 + 2 + 1) + 2 + 0 + 0 - 3 + 4 - 3)*(-17*a - 14*a + 26*a).\nAnswer: -50*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 16*k - 20. Let l be q(-14). Suppose 0 = -l*r + 33 - 1. Calculate the highest common factor of r and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 4. Let a be q(-3). Let v be (5\/((-10)\/4))\/2. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-41)*(y\/((y\/(y\/((y**39*y)\/y)))\/y))\/y*y)**(-3\/5) assuming y is positive.\nAnswer: y**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 205.\nAnswer: 51\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 10*s**2 - 2*s - 7. Let g be f(-5). Let h be (-10)\/g - -2 - (-48)\/9. Solve 0 = x + h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j + 2. Let t be p(0). Let o = -2486 + 2481. Which is the fourth biggest value? (a) o (b) t (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 26. Suppose l*f = i - 1 + 11, -f - 9 = 3*i. Solve f + 1 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -29?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -12 - -11) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2774 divided by 519124?\nAnswer: 1387\/259562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a + 414 = 7*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1277 by 11.\nAnswer: -1277\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -434 + 636. Suppose -6*g = -4*g - b. Suppose -2*w - 5*u = -67, -11 = 3*w - 3*u - 80. Calculate the remainder when g is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7293 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 4 - (289 + -341).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -7 - -7) + -1 + -4. Let r = 177\/4 + -18593\/420. Let p = -37\/105 - r. Which is the biggest value? (a) 5 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -96. Let z be o\/(-10)*3\/6. Suppose 3*w - 2*k = 2*w - 1, 0 = w + 3*k - 4. Solve z*j = j - w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 0*h**2 - 5*h**2 to s*h**2 + o*h + g and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2033217 to the nearest 1000.\nAnswer: 2033000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 3*z + 4*z)*(3 - 3 - 2)*(-128598 + 1053*z + 128598).\nAnswer: 4212*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let r(c) = 14 + 159 + 5551*c + 10. Let z(a) = -61*a - 2. Let h be (183\/6)\/((-184)\/(-624) - 36\/78). Let u(n) = h*z(n) - 2*r(n). What is u(v(x))?\nAnswer: 61*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*t - 562*t + 126 = 0. Sort -1\/5, -0.1, -0.08, t.\nAnswer: -1\/5, -0.1, -0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*m + 1076 = 311, -5*d - m = -1253. Suppose -37*f + d = -32*f. Differentiate 12 + 58*c - 128*c + f*c wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 115 = -0*t + 5*p, 3*t = -5*p + 79. Suppose 12*r - t = 6. Solve 4*x - 6*x = 3*h - 10, 5*x = -r*h + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 198, 454, 812?\n\"Answer: 51*g**2 + g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y - 15. Let v = 4017 - 4011. What is x(v)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 - (1\/(-2))\/((-1)\/(-81)). Solve -112*k - l = -91*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*p**4 + 609*p**2 + 368*p**2 - p**3 + 719*p**2 + 2*p**3 - 2*p**3 wrt p?\nAnswer: 2112*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 + 5)*(0*d**4 - 2*d**4 + d**4 + (1 - 1 - 2*d**3)*(3*d + 0 + 0)) in the form c*d**2 + m*d**4 + y*d + o + r*d**3 and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -87865?\nAnswer: -87867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z + 124*z - 147*z = 278*z - 3483 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869, -1710, -2551, -3392?\nAnswer: -4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -31*o**2 + 14. Let l(y) = -219*y**2 + 96. Determine 27*c(k) - 4*l(k).\nAnswer: 39*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*f - 746 + 281, 0 = -f + 4*u + 93. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 231084*n**2 - 16161180*n - 282734900.\nAnswer: -4*(n + 35)**2*(n + 57701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 2*n**2 + 28*n + 62 + 5*n**2 - 3*n**2. Let w be v(30). Solve -t - 2*z = -1, t - 4*z = -w*z + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 18*m + 6 + 10 = -19*m, -271*z + 5*m = -275*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/9 + 2*n**3\/9 + 8*n**2\/9 - 8*n\/9.\nAnswer: -2*n*(n - 2)*(n - 1)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - p + 135 = 120, 0 = 4*n - 5*p + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/99)\/((6\/63)\/(30\/(-700))).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2434 and -0.2?\nAnswer: -486.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*j**2 - 71*j**2 - 13*j**2 + 20*j**2.\nAnswer: -155*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 885, 879, 871?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -8*g + 17. Let f be 1\/(-2*1) + 755\/g. Factor -12*a**2 + 3*a**5 - 75*a + 9*a**4 + f*a.\nAnswer: 3*a**2*(a - 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 + 19*j**2 + 36*j + 53. Let z be u(-3). Let v(n) = n**2 + 13*n - 105. What is v(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 13. Let f be k(15). Solve -3*j + 0 + 7 = f*n, 15 = -5*n - j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(612) - ((sqrt(612) - sqrt(612)*1)*-6 + sqrt(612))**2) + 5.\nAnswer: -18*sqrt(17) + 1841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 12908 = -3*r. Let n = -898 + r. Calculate the greatest common factor of n and 1488.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -98*o - 4. Determine f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.5 (c) 6 (d) -4 (e) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 2405775*n**2 - 21651570*n.\nAnswer: -5*n*(n - 481146)*(n - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 23*w - 7. Let k be v(-12). Let n = k + 19. Let t = 33 - 32.7. Which is the nearest to n? (a) t (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20*r + 21. Let h(t) = -21*t - 19. Calculate -3*h(v) - 2*j(v).\nAnswer: 23*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2554 and 112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*x - 508, 16 = -2*o - 2*o. Is 16 a factor of (-44)\/(8\/60 + x\/480)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*m + 180199, -70*m + 68*m + 180184 = 5*z. Is 79 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1838, 3675, 5512, 7349, 9186, 11023?\n\"Answer: 1837*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k - 4. Let a be d(-1). Let v(u) be the first derivative of 0*u**a + 0*u + 11 + 1\/2*u**6 - 3\/4*u**4 + u**3 - 3\/5*u**5. Factor v(b).\nAnswer: 3*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*b + 36*b - 65*b)*(0 + 5 - 3) + (-1 - 2 + 6)*(2*b - 6*b + 2*b) to the form k*b + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 8:47 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**8\/504 + 2*x**7\/315 + x**6\/90 - 2*x**5\/45 - x**4\/36 + 2*x**3\/9 - 34*x**2 - 2*x. Find b such that j(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from lcgggccgcgccglcggc.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164 - -273. What is the remainder when h is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -102. Let f = 138 + -137.943. Let s = f - 2.057. Sort p, -3\/5, s, 6\/7.\nAnswer: s, -3\/5, p, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12344*p**3*y**2 + 2378*p**3*y + y**3 wrt y?\nAnswer: 24688*p**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 4. Let o be v(0). Solve o*u - 17 = -2*h - 3, -5*h = 3*u - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13205495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -112150.\nAnswer: 3\/112150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 - 375 = 4*p - 2*n, -4*n - 8 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 468.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/92)\/(7*12\/336)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 1760?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 26794*j - 321519\/4.\nAnswer: -(j - 107173)*(j - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28693738498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12550 (base 8) in base 6?\nAnswer: -41212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2228592 - 1490916 - 2622492 = -168*h. What are the prime factors of h?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 2*s)*(-169 - 564 + 209).\nAnswer: 1048*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d40 + -1?\nAnswer: d3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 58146.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n + n**3 - 10*n - 5*n in the form r*n**2 + c*n**3 + u*n + b and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z = 37 - 43 - 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51421951 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 17*i + 1105. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m. Suppose -3*w - 6 = m, 5*p + 682 = -2*w + 2018. What are the prime factors of (-1)\/(4 - 1076\/p)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/72 and 37\/44336?\nAnswer: 399024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7183, 28726, 64615, 114844, 179407, 258298, 351511, 459040?\nAnswer: 580879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 9:51 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + (1 + 1 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - z + 25, -v + 20 = 3*v + 5*z. Suppose v*g - 133 = -23. What is the remainder when 64 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**3*x + 436266*t**3 + 2*t**2*x - 2*t**2 + 548*t*x - 19477*t wrt t.\nAnswer: 36*t*x + 2617596*t + 4*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -63*m - 119. Give i(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49125?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*x**3 + 94*x**3 - 376*x**3 + 89*x**3 + 96*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2754b2 - -4?\nAnswer: 2754b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-6)\/72)\/(53\/11236)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 < 105781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 divided by 158?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**(3\/5)\/(w**(-4\/7)\/(w\/(w*w**(-2)*w)*w)))**(-12\/7) assuming w is positive.\nAnswer: w**(-576\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1538 - 890*t - 1538 to the form p*t + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21102 (base 3) to base 12\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10231131 (base 9) to base 14.\nAnswer: -921820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 401. Suppose 0 = -4*f - 3*w + 51 - 901, -2*w + 860 = -4*f. Let c = u - f. Round c to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-3 - 0)*17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47440 is divided by 101.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j + 4. Let n(y) = 4*y + 2. Let m be (5 + -1 - -2)*-1. Let r(i) = m*x(i) + 13*n(i). What is the units digit of r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s + 1\/60*s**5 - 5 + 0*s**4 - 2\/105*s**7 - 13\/6*s**3 - 10*s**2 + 1\/60*s**6. What is the third derivative of a(m) wrt m?\nAnswer: -96*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*a - 2*d, 0*d + 84 = 4*a + 2*d. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*o + 6*o + 257*o to y + z*o and give z.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 347*d**4 + d**3 + 2 - 346*d**4 - 668*d**2 + 669*d**2 - 2644*d in the form a*d + p + z*d**2 + s*d**3 + o*d**4 and give a.\nAnswer: -2644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7059 (base 11) to base 10.\nAnswer: 9381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242723\/1691 - 521\/89. Is b <= 139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -1, -2945, -8 in ascending order.\nAnswer: -2945, -8, -7, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192794 + 192761.46064. Let c = h + -0.07064. Let n = c + 33. What is n rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242421 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70885349 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 75 = 3*c, -3*z + 35 + 32 = 5*c. Suppose -5*u + z = -111. Suppose -5*s = 22 - 2, -4*o = 5*s - u. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 + 173. Let a(q) = 22*q**2 + 11*q + 28. Does 24 divide a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-6))**(3\/16))**(-3) assuming p is positive.\nAnswer: p**(45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4576 and 28337056?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72\/19 or -636203?\nAnswer: -636203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -4, -1\/39 in decreasing order.\nAnswer: 0.5, 0, -1\/39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -183.9185.\nAnswer: 55.17555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 229*c + 8. What is j(-75)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(176)\/(-5*sqrt(16)\/sqrt(4)))\/(sqrt(36)\/sqrt(36) + sqrt(32)\/(2*sqrt(8) + sqrt(8)) + sqrt(4)).\nAnswer: -6*sqrt(11)\/55 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -35*k**3 - 2296*k**5 + 30*k - 13*k**4 + 2295*k**5 + 13*k**2 + 6*k**3 = 0.\nAnswer: -10, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l - 60 = 0. Let o be 423\/l - (-2)\/(-10). Suppose d - 5*d = -o. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + n**2 + 198. Let l be z(0). Suppose 2*c = -2*i + 106, -2*i - l = -4*c + i. Which is smaller: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*o + 4*o = 7, -2*w = -2*o + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-1 - -6798) - (-35)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -374 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 152*k - 208 + 624 = 0, 6 - 6 = 2*k - 0 + 6 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 493, 33, -3\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - q = 120001, -5*t + 4*q = -27624 - 122380. Round t to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -13 + 3. Suppose -4*l - 2*l + 288 = 0. What is the remainder when l\/26 - -2*1\/13 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n + 17. Let g be b(0). Let i = g + -12. Suppose 2*u + 4*r = 52, -5*u + 94 = -i*r - 6. Calculate the least common multiple of 2 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 53. Suppose -i*y - 4*v = -12, -2*v - 3*v + 15 = 3*y. Solve -4*p + 14 - 2 = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 720263, 2880931, 6482045, 11523605, 18005611, 25928063, 35290961?\nAnswer: 46094305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.49898 - 5.5. Round j to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = -5*i. Suppose -i*z + 2*z + 20 = 0. Suppose -2*o + z*o - 42 = 0. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/86? (a) 3 (b) -1\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three sixths of a hour?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 29, 47, 69, 95?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/12 (b) -0.2 (c) 0.04 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699912?\nAnswer: 2, 337489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) -0.6 (b) 6\/473 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 6*n**2 + 7. Let w be g(6). Let f be w\/(14\/(-4)) + 7. Suppose 5*r = 25 + f. What is the lowest common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 4. Suppose 0 = -17*v + 12*v + 11*v. Suppose -4*m - s + 6 + 6 = v, l = 5*m + 4*s. Solve -h = m*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 12. Solve 21 = -2*q - 3*f - 0*f, 0 = -3*q + b*f + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -89. Differentiate -3 + 10 + i*x - 7*x + 3 wrt x.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3368 and 820950?\nAnswer: 3283800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 4578*n + 7771*n - 16978*n - 24132*n.\nAnswer: -28761*n + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 100984?\nAnswer: 7573800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - -96. Let v = p - 146. Which is the smallest value? (a) -1\/3 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 3 = 0. Suppose -i = 4*h - 3*h. What is the nearest to 1 in -0.2, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y**2 - 14*y**2 - 8*y + 31 - 4*y**2 to s + f*y + w*y**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -4, 20, 0, 244 in increasing order.\nAnswer: -4, 0, 20, 63, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 0*g**2 - 2*g**2 + 4)*(-1 - 2 + 4)*(70 - 52 + 140)*(1 + 0 + 0) to the form t*g + b*g**2 + z and give b.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, q: 14}. What is prob of picking 4 c?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -248890 or -249280?\nAnswer: -248890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -12*b - 62. Let c be u(-7). Which is smaller: 64\/3 or c?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 103*s**2 + s. Let u be q(-2). Find the second derivative of u*x + 2*x**2 + 2*x**2 - 434*x wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3 + 10*l - 10. Let v(o) = -582*o**2. Give u(v(b)).\nAnswer: 3492*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1613342105 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*c - 6 - 0, 2 = 2*c. Suppose t + 12 = 5*k, 0*t = -k + w*t - 3. Suppose -m + 2*m = 4*g - 6, k*m - 21 = -g. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(1 + (2 - 0)). Let r = b + 4. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1441*b + 2886*b - 1443*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*b + 29 = 0, j - 3*b + 3 = -2*j. Let d = -3 + j. Let v be -1 - (d\/1 + 3). Is v at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 12. Suppose -f = 5*a - 41, j*a = f + f - 12. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from xuxuxnxnnxnlxnxx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 319 + -34?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 18) + (36 - (-1 - -71)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 11:06 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2808, 2812, 2826, 2856, 2908, 2988?\nAnswer: 3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*j + 21*j + 144. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/((i*i**(2\/29)\/i*i)\/i))\/(i**(-1\/31)*i\/i**(7\/9)*i) assuming i is positive.\nAnswer: i**(30269\/8091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156661659 and 1386.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 49*o**2 + 62*o + 110. Is p(-47) a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1047 (b) -6 (c) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -815*c = -817*c + 40. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1774, 3568, 5352, 7120, 8866?\nAnswer: 10584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 314 + -205. Let p = -164 + y. Let j = p - -54.9999947. Round j to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 138 = j - 155, 3*j + 30 = 3*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119591?\nAnswer: 119591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -525, -1\/18, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 48596419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6016 - -6381. Solve -t = -6*z - 67*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w + 16*w + 18*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2362 = 2*l, -5*l + 3881 - 314 = -3*x. Let n = 588 + x. Let u = n - -2749. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19168663*q**2 + 19168655*q**2 - 38337328*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from acrccrwccacaccrccr?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*s - 14, 5*c + 6 + 4 = 4*s. Solve -c*a + 6 = -4*a, -a = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.055226 rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85634 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -61 - 4. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3101160?\nAnswer: 2, 3, 5, 43, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -213982 or -213935?\nAnswer: -213935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0918 and -0.5.\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 338278537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23862 - 23864.3954. Let a = s + 2.4. Round a to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*u - 8*u. Let b(v) = 69*v - 2348. Calculate the lowest common multiple of u and b(44).\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 + 100 = 72*w + 237 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 2*s + 5. Let x be f(-5). Suppose -4*r - 4*c + 53 = r, -3*r + 2*c = -x. Let q = -5 - -8. Solve -4*l - 11 - 3 = -2*g, 2*g = q*l + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -b3656?\nAnswer: -b3652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**5*v - 4*m**3*v - 50*m**3 + 2*m**2 + 2*m*v + 20208*v wrt m.\nAnswer: 40*m**3*v - 24*m*v - 300*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*s**2 + 12*s**2 - 50*s**3 + (-6*s**3 + 2*s**3 + 3*s**3)*(1 - 4 + 1).\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 + -92. Let y = 1 + b. Does 30 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 1\/2*s**4 - 1\/2*s**3 + 5*s**2 + 0 + 0*s. What is the remainder when 82 is divided by c(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 8*s**2 + s - 5. Let v be u(8). Suppose 5*k - v*k - 42 = 0. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) -0.044 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 712266 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let f be h(3). Suppose 4 = f*j - 2. Solve -j*p + 2*v + 3 = 0, -3*p - 2*v + 3 = -6*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*l = -135*l - 84. Let m(r) = 7*r**2 + 7 + 4*r + 5 - 1. What are the prime factors of m(l)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(((32\/(-4))\/(-4))\/((-28)\/(-2)))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2. Let g(q) = 24*q**2 - 19*q - 269. What is g(u(h))?\nAnswer: 96*h**4 - 38*h**2 - 269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.59 - 5.19. Suppose -4*g = -5*s + 73 - 22, 5*s - 58 = -3*g. Sort s, o, -2\/11, -0.9.\nAnswer: -0.9, -2\/11, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13343?\nAnswer: 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1814*d**2 - 12637*d?\nAnswer: 3628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1247*o**2 - 116*o - 116. Let m(x) = -32*x**2 - 3*x - 3. Let k = 2724 + -2727. Give k*h(b) + 116*m(b).\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 8*y - 2. Let p(u) = 133*u**2 + u - 2 + 6*u - 134*u**2. What is 5*j(k) - 6*p(k)?\nAnswer: k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215191 is divided by 23906?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(110))\/((1*sqrt(40))\/sqrt(4)) - ((4*(sqrt(110) + sqrt(110)*-1 + sqrt(110)))\/(-3*(sqrt(10) - (sqrt(30)\/sqrt(3) + sqrt(10)))))**2.\nAnswer: -176\/9 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415 (base 9) to base 14.\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69 + 460439.6?\nAnswer: 460440.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6*i - 3. Let w(l) = -l**2 - 3*l + 12. What is the remainder when w(2) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9244306 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/2)\/z)\/z**(-4))**(-13) assuming z is positive.\nAnswer: z**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1497018 to three decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*n - 21189 = -7511 + 2992 + 13290 for n.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 41 - 16 - 2*p - 20. Let x(a) = -4*a + 9. Determine -5*g(o) + 3*x(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 4. Suppose 11 = -j + 5. Let t(y) = 6*y + 11. Determine j*t(a) - 17*k(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y**(-2\/9)*y))*y))**13 assuming y is positive.\nAnswer: y**(-91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c. Suppose i + 0*i - 59 = c. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7131.535 rounded to zero dps?\nAnswer: 7132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 35*d**2 + 132*d - 323. Give s(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 62, 147, 270, 431?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 - (6 + -2) - (-24 - -19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*n + 511, -18*t - n + 1553 = -15*t. Calculate the greatest common factor of t and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.600132 millilitres?\nAnswer: 0.008600132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**2 - 5*j**2 - 12*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -307, -18 in ascending order.\nAnswer: -307, -18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*v**4 - 29*v**4 + 58*v**4)*(1 - 1 + 4) as u*v**2 + c*v + w*v**4 + y + m*v**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 7. Let k be (-1)\/s - (-17)\/(-17). Suppose 0*c = 4*d - 4*c + 2780, -4*c + 20 = k. What is d rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108163.\nAnswer: 11, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*3\/30 - (-8)\/(-16). What is the second smallest value in 82, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67112818 + -3?\nAnswer: 67112815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -498914 and -26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2272*b**2 - 474*b**2 + 676*b**2 + 954*b**2.\nAnswer: 3428*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose 0 = -x*o + 2*o - 2. Suppose b = 3*b - 8. Sort b, -4, o in decreasing order.\nAnswer: b, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-2 - 5\/((-100)\/44)). Let y = v - -112. Suppose 0 = 2*u + 5*o - 516, -5 = y*o - 13. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 - 8*x + 6. Let w be s(6). Is 10 a factor of (w\/(-3))\/((-2)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*b + 2 = 12, 0 = 3*l - 2*b - 14. What is the remainder when 9 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.5, 19, 121, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -798 (base 13) to base 10\nAnswer: -1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -88777 and 986773493.\nAnswer: 986684716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.439839 rounded to 2 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -33, -84, -161, -264?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-330)\/(-8) - (1 - 6\/8). Calculate the highest common divisor of 82 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66 - -52?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19753 = -4*n - 59735. Let g = 36672 + n. Let b be (1500\/(-5 - 0))\/((-2)\/g). Round b to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/21 - 7802*i\/21 + 62800\/7.\nAnswer: -2*(i - 24)*(i + 3925)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round 270948.1 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + r**3 + 2*r**3)*(-10*r**2 - r**2 + 5*r**2) + 15*r**5 - 34*r**5 - 33*r**5.\nAnswer: -58*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 16) to base 12.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442998038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0128 - -0.2872. Sort 0.073, b, 1\/4 in descending order.\nAnswer: b, 1\/4, 0.073","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*q**2 - 689*q**2 - 4 + 267*q**2 - 698*q**2 + 5 + 0.\nAnswer: -1600*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -36*j + 107. Let n be s(3). Suppose -3*y = -2331 + 2328. Sort y, -3, 2, n in decreasing order.\nAnswer: 2, y, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29780797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.65545 and -1.1?\nAnswer: -0.720995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 924\/70*10\/(-9) + (-2)\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/120 - k**5\/20 + k**4\/12 + k**3 + 7*k**2. What is the tens digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3222*t**3 + 4195 - 4195 + 832*t**3.\nAnswer: -2390*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 - 11 + 10*g**2 - 7 + 2*g**2 to c*g + r*g**2 + b and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p + 0 + 0)*(-2 - 3 + 4)*(2*p - p + 0*p + (1 + 2*p - 1)*(3 - 4 + 3) - p + 2 - 2 + 2 - 2 - 5*p) to the form b + c*p**2 + o*p and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3755*p - 100. What are the prime factors of q(2)?\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -695, -701, -707, -713, -719, -725?\n\"Answer: -6*j - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 120\/1260 + ((-6758)\/42)\/(-1). Let m = 83 - h. Are -77 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0251 and 1.68994?\nAnswer: -0.042417494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.02 (b) -0.2 (c) -2 (d) 0.4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*q = 109*q + 116*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:00 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 11*c**2)*(1 - 1 - c**3) - 60*c + 15*c**5 - 16*c**5 + 3*c**5.\nAnswer: 13*c**5 - 60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 8, z: 1, d: 9}. What is prob of sequence dmdd?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-35)\/r*r**(-8\/7)*r assuming r is positive.\nAnswer: r**(-253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/101 (b) 2\/177 (c) 2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3548810 divided by 5?\nAnswer: -709762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4666 = -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1463 - -12800. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103987139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 21. What is the remainder when 21 is divided by w(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2 - q - 4 + 2 + 10*q**2 + 7*q**2. What is the remainder when w(2) is divided by (-4)\/2*(-7 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/(152\/(-2)*5\/(-70))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 209448832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 6 - 3 - 7)*((4 + 2 - 5)*(-6*x + x + x) + 0 - 3*x + 0)*(0 + 0 + 1) to n + s*x and give s.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/(-12)*1) - (-170)\/102.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p + 11. Let n(i) = 10*i - 23. What is 2*n(w) + 5*r(w)?\nAnswer: -5*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 8, z: 8}. What is prob of picking 2 z?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3000420 and 35550?\nAnswer: 15002100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4*(-2592)\/1008*(-1 + 225\/(-6)) and (-59)\/40 + 0 + -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 365 - 99. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154827.\nAnswer: 17, 67931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9177*z**2 + 2 - z**3 - z - 9421*z**2.\nAnswer: -z**3 - 244*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + y + 5 = -6, 2*n + 2 = 2*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 21. Let k be (-2)\/12 - 11\/n. Calculate the common denominator of k\/(-32)*-43 - 0 and 101\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 5*c + 2. Suppose -6*k + 10*k = 20. Let m be a(k). Suppose -3*b + 3*d + 12 = 5*d, -m*b + d + 1 = 0. Solve 0 = j - b*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.11685l in millilitres?\nAnswer: 9116.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160512424, 321024849, 481537274, 642049699, 802562124?\nAnswer: 963074549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1126*f - 97908. Determine c(-87).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 482.8, 1\/5, 777, 0.08?\nAnswer: 482.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 194?\nAnswer: -5\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2554173?\nAnswer: 1277086.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789176 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 + 69*z**4 - 5685*z**3 - 61101*z**2 - 23166*z + 766584 = 0. Calculate z.\nAnswer: -52, -7, -6, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 16538*t - 16541*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j - 4*j)*(0 + 2 - 4) + 4*j + 0*j - 1 - 7*j.\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6566, 26214, 58954, 104780, 163686, 235666?\n\"Answer: -z**3 + 6552*z**2 - z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150828439 divided by 7459.\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4267, -4269, -4271, -4273?\n\"Answer: -2*x - 4265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124920338 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 579 + -238. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2047, -8308, -18765, -33418?\n\"Answer: -2098*a**2 + 33*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 590*j**3\/3 + 1415*j**2\/2 - 426. What is the second derivative of u(f) wrt f?\nAnswer: 1180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -15176\/13 - -1168. Which is the third biggest value? (a) w (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-12))\/(-7)*65\/78.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*r - 19*r - 14040. What is the units digit of 20\/3*5\/(250\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4731 in -1, -46\/7, -5?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/228*(-1496)\/85. Let f = -6055\/456 - a. What is the common denominator of 39\/2 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409117064 is divided by 2889?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18139 - 6104*k**4 + 18139 - 2617*k**4 - 2396*k wrt k?\nAnswer: -104652*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. What is the third derivative of -30*n + n**2 + 2*n**f + 30*n wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + -1. Let s = k - -46. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506766 is divided by 168184?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (5 + -3)) + -1. Suppose -70*d - 25 = -75*d. Suppose 61 - 46 = d*t. Sort 5, k, 0, t in decreasing order.\nAnswer: 5, t, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3, -109 in decreasing order.\nAnswer: 5, 3, 2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 5. Let w be i(-4). Let b(u) = -u + 15. Let g be b(w). What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 2, c: 3, p: 3, x: 1}. What is prob of sequence ix?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 732 divided by -10.\nAnswer: -366\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4)*68\/51 - -4. Suppose 3*o + o - 58 = -2*q, x*q = -3*o + 33. What is the lowest common multiple of 140 and o?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681805865 to the power of 1\/2, to the nearest integer?\nAnswer: 60678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -57. What is the remainder when 37 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 34. Suppose 0 = 21*w - 217 + 280. Calculate i(w).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuc when three letters picked without replacement from coajujusuojuojjj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 6*x**3 + 3*x**4 - 12*x**4 + 2 - 2*x**3 + x**4 as m*x**3 + o + s*x**2 + r*x**4 + h*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**2 - 60*c + 11. Suppose 5*q = q + 3*y + 24, q - 2*y - 6 = 0. Does 5 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31037217769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Let k be (i - 2\/4)*-292. Suppose -z = -3*b + k, -47 = -2*b + 2*z + 57. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223113000 rounded to the nearest 1000000?\nAnswer: -1223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + t - 5552, -181*t + 183*t - 2776 = -2*i. Which is bigger: i or 1386?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 311?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24 - -3297.3\nAnswer: 3321.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4189)\/(1416\/(-24)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2 - 4*i + 9. Let w be v(-5). Let h be -45 + w\/(-8) + 9\/6. Round h to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/4*26874\/31353.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7801077.\nAnswer: 3, 19, 136861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 198 = -54*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 3*b + 1 + 2 + (-1 - 1 + 0)*(-b + 5 - 5) + b + 0 + 0 as z*b + u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:17 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e0d - -e?\nAnswer: -1dee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from qtjtqqttqnr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2890 and 117\/10?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37922 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -1\/28*f**7 + 0*f**2 + 0*f**4 + 0 - 3*f + 0*f**3 + 3\/40*f**5 + 0*f**6. Factor a(t).\nAnswer: -3*t**3*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-315)*5*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 720 - 457. List the prime factors of a.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 17*d**2 + 105*d - 48. Determine g(-22).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.8, -0.11, -3 in descending order.\nAnswer: 5, 0.8, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-624)\/(-40))\/((-12)\/(-40)). Calculate the highest common factor of a and 2158.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j. Let m(g) = 6*g**2 + 10*g + 4. Let f(d) = -m(d) + 8*v(d). Factor f(n).\nAnswer: 2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 times -0.4\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 2*l + 6. Let b be o(-6). Let h be (b\/4)\/(2\/16). Let u be (8\/24)\/((-2)\/h). Solve -u = 5*v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggiiggcgcgciicc?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - 231?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 2*n. Let j be o(-3). Find the common denominator of (1 - (-2)\/j) + 2527\/(-912) and 93\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1*sqrt(396) + 0 - sqrt(396)) + 5)**2 + (1*sqrt(22)\/sqrt(2) - (sqrt(308)\/sqrt(7))**2)).\nAnswer: -238*sqrt(11) + 3130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 236808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5140, -10314, -15506, -20722, -25968, -31250?\nAnswer: -36574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -2\/7 (c) 1387627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1595)\/(-522)*5\/(25\/3)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356792516 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(24\/20))\/(15\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 3*j - 3*j)*(2*j - 3*j + 2*j) + 4 - 1 - 5*j**2 + 3*j**2 in the form l*j + o + b*j**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6336)\/36 - 0\/1. Let m = 193 + h. Solve 3*s + 2*s - k = m, 4 = 4*s - 4*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 - 0.08. Let b = -295 - -294. Put u, b, 0, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2067\/2838 - (-1)\/(-2). Let i = -2\/43 + f. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 0.2 (b) -1 (c) 78\/19 (d) -3 (e) -4\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose 35 = 2*a + 5*m, a + 7*m - 3*m - 25 = 0. Solve 0 = -4*i + w + a, -w - 25 = g*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - 3)\/(-1))\/((-6)\/(-4)). Let i(k) = 10*k + 6. Let y be i(m). Solve -p + 7 = -5*t + y, 4*p - 8 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605079 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 + 73 = 4*u. Let j be 1*(1 + 4 + 330). Suppose 14*v + 71 + j = 0. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/3 - 100*c**4\/3 + 7624*c**3\/3 + 83184*c**2 - 3064320*c - 20793600 = 0. Calculate c.\nAnswer: -60, -6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/7319681 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, f: 4}. What is prob of picking 3 c and 1 f?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(-318))\/(85\/34170)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -12*p + 1. Let g(y) = 12*y - 1. Determine -5*g(d) - 6*n(d).\nAnswer: 12*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3069 - 15369\/5. What is the nearest to -24 in v, 0, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 174879?\nAnswer: -17487.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551043 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 - (-248)\/40. Suppose 0*y - 20 = -y + 5*j, 8 = -4*y - 2*j. What is the first derivative of -7*n - 1 + 2 - z + y wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**6)*w*w\/(w\/w**(1\/3))*w*(((w**(-3)\/w)\/w)\/w)\/(w*(w\/w**6)\/w*w*w))\/((((w*w*w**(-2)*w)\/w)\/((w**1*w)\/w*w*w))\/(w**0\/w**1)) assuming w is positive.\nAnswer: w**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 84, 4, -9, -2 in ascending order.\nAnswer: -9, -4, -2, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -142 and 91246.2.\nAnswer: 91104.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3576346172.\nAnswer: 2, 7, 107, 1193707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(162) - (1 + sqrt(162)*2))*-1)**2 + 1.\nAnswer: 450*sqrt(2) + 4076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 144912375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 4*y**2 - 2499*y - 12536. What is l(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxqq when four letters picked without replacement from xqxq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612 is divided by 866?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6304\/7371 + -2\/1053. Let p = 1106 - 1109. Which is the third smallest value? (a) 0 (b) p (c) 1\/3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 70. Let u = o + 57. Suppose 0*g - g = -33. Calculate the remainder when g is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6 (b) -3 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 105.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -258 + 4\/9*v**3 + 16\/3*v**2 + 20*v. Factor t(z).\nAnswer: 4*(z + 3)*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npppnnappnnnnnpnnn. What is prob of picking 3 n?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4156 * 17\nAnswer: 70652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3578*d**6 - 4*d**2 - 51*d?\nAnswer: -429360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2321541 by 2.\nAnswer: 2321541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 17*z**2 - 5*z - 2. Let u(r) = 2*r**2 + 3*r + 26. Let w(i) = -2*i**2 - i - 11. Let t(q) = -3*u(q) - 7*w(q). Calculate 4*l(a) - 9*t(a).\nAnswer: -4*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207730613 to the nearest integer?\nAnswer: 14413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)\/((-12)\/(-24)). Suppose 0 = 3*d - s - 244, -v*d + 12*s = 14*s - 152. What is the remainder when d is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1620284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*0 - 6\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8275968 and 179712?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358 - -375. Suppose -215 = -3*b - q. What is the smallest common multiple of b and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/2)\/((-745)\/298))\/((-13)\/(650\/135))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/6 + 216636*n**3 + 211181755259*n**2\/3 - 1830351714828*n + 71385144754729\/6.\nAnswer: (n - 13)**2*(n + 649921)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 + b**2 - 22*b**2 - 17*b**2 - 29*b**2 + 72*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a1 (base 12) to base 16.\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10164197.52 to the nearest one hundred.\nAnswer: 10164200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 6*c = -12630. Suppose -439 = -9*u - c. Solve i = -4 + u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -2*a**7\/105 - 35*a**6\/18 - 2579*a**5\/45 - 725*a**4\/18 + 3364*a**3\/9 + 166*a**2. Solve c(v) = 0 for v.\nAnswer: -29, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/30)\/((-36)\/40).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1218 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {d: 5, k: 3, x: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + m - 10, 2*g - 2*m + 3*m + 29 = 0. Is 9 a factor of 4\/(-18) - g\/((-117)\/(-488))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2491*h - 2 + 2.\nAnswer: -2491*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -33242?\nAnswer: 33234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -76 + (-62 - -67) + 99\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133321311 - 23?\nAnswer: -133322000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1116816 by 279204.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -33*i + 103*i + 169*i. Let z(r) be the first derivative of r**3\/3 + 3462. Determine z(c(p)).\nAnswer: 57121*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423404071 and 6185.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*0.0536.\nAnswer: 0.03216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4*10\/(-10))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.5, 1, 120277.\nAnswer: 0.5, 2\/3, 1, 120277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19739213 is divided by 19739187?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 11*p = 15. Suppose p*w - w = 124. Let q = w + -31. Solve -4 = -4*x - q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.02024\nAnswer: 0.1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m - 2 + 2)*(-1 - 1 + 4) + 2*m + 0*m - 3*m)*(-76*m + m**4 - 183*m + 0*m**4).\nAnswer: m**5 - 259*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 times -8376?\nAnswer: 527.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose 2*q - 2*z - t = -3*z, -5*z = -2*q + 26. Determine f, given that -21*f + 234*f**3 + 3*f**4 + 1 + 27*f**2 + 5 - 249*f**q = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22822 is divided by 542.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4 and -53\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000149369 to 6 dps.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.17 + 5.07. What is the closest to -1 in k, 2, 1\/6, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(432)*-4 + 0)*-5)**2.\nAnswer: 11059200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -14. Calculate the greatest common divisor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2879, -5760, -8641?\nAnswer: -11522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:34 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 58*c**6\/15 - 199*c**5\/30 - c**3\/6 - 466*c**2. What is the third derivative of w(k) wrt k?\nAnswer: 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7591 - 7582 = t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168667173263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7747687m in micrometers?\nAnswer: 774768.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1764 = -g - 17*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90993842?\nAnswer: 2, 23, 41, 48247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 8) to base 6.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1636 and -119\/24?\nAnswer: 9816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/85 - (-4)\/10. Let y be -5*12\/(-75)*15\/2. Suppose -y*w + 14 = -20*w. Which is bigger: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-23)*(-26197)\/2278\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*-116.\nAnswer: 25.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - k - 8*k + (k + 0 + 0)*(3 - 2 - 4) - 6*k + 0*k + 5*k - 7*k - 3*k + 12*k - 2*k - 36 + k to the form t + o*k and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 124838139709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (14 - (1 - 1)) - 19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4, 2*y + 46 = -2*w - 3*w. Let l(z) be the second derivative of -7*z**3\/6 - 17*z**2\/2 + 10*z. List the prime factors of l(w).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9042712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**2 + 3*x + 0*x + x - x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 138707376?\nAnswer: 1248366384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05912 + 0.059. Round l to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 8. Calculate the remainder when 108 is divided by p(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/((t*(t**(-2\/11)*t)\/t)\/t)))\/(((t*t**(-2\/51))\/t)\/t) assuming t is positive.\nAnswer: t**(1042\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**8\/336 + 5*f**4\/24 - 3*f**3\/2 - f**2. Let j(w) be the first derivative of s(w). Differentiate j(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*p + 619*p + 622*p - 2504*p - 15*p**2 + 621*p.\nAnswer: -15*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7)\/n*n\/(n\/n**(-7)*n))\/(n**(-3)*n**4) assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -2125?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*j*j*j*j*j**(-6)*j)**(-1\/13)*(j*(j**(2\/11)\/j)\/j)\/j**(-2)*(j*j**4)\/j*j**0*j assuming j is positive.\nAnswer: j**(983\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 7*l**3 + 14 + (2*l**2 - 5*l**2 + 2*l**2)*(13 + 6*l - 13).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359*a**3*z**3 - 2*a**3*z - 186*z**2 wrt z.\nAnswer: 2154*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421450059.\nAnswer: 3, 140483353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*-4*(sqrt(539) - ((sqrt(539)*-3)**2 - sqrt(539)))*3*3.\nAnswer: -174639 + 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3 - d + 60 + 47.\nAnswer: -d + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 361*j**5\/15 + 57*j**4\/8 - 57*j**3\/2 - 405*j**2. Let t(d) = 17*d**2 + 2*d - 2. Determine 2*m(f) - 171*t(f).\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16.9692331 and 20.\nAnswer: 3.0307669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 28 + -64 + 63?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -36, -4.\nAnswer: -36, -6, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749440 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 25 - 9 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87.45 + 2.55. Let w = v + -101. Which is smaller: w or -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 5778.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1, 0.3.\nAnswer: 0.3, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 - (16\/(-4) + 0). Suppose -20 + 138 = -5*d + k, 5*k = -3*d - 54. Let g = w - d. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 3*v - 2. Let b(l) = l**2 + 4*l - 2. Let f = 82 + -52. Let c be 2*3*50\/f. Let z be 1*10*6\/c. Give z*a(u) - 5*b(u).\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 + 0*j - 293*j**3 + 0*j + 4.\nAnswer: -283*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5781)\/492 + 12 + 0)*-1*284\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12555*p**2 + 14*p. Let x(i) = -5*i. What is x(z(t))?\nAnswer: 62775*t**2 - 70*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195189587 divided by 2.\nAnswer: -195189587\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u**(-22)*u)*u**(-2\/3)*u)\/(u\/u**2*u*u**(-7)))**(-19) assuming u is positive.\nAnswer: u**(-1786\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48130 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 269209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (1355\/(-10) - -12)*-30 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37256 + 55317. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b4b (base 14) in base 7?\nAnswer: -31324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 549*j*o**2*s**3 - j*o**2*s**2 + 457*j*o*s**3 - 15*j*o*s**2 + 16680*j*o*s - 4*j*s**3 + o + 2*s**2 wrt s?\nAnswer: 3294*j*o**2 + 2742*j*o - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.17559ug in grams?\nAnswer: 0.00006917559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116455358 - 7973023. Suppose 0 = 21*c + o + 24447665. What is c rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*m + 5*k, 20*m + 2*k - 29 = 23*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-54))\/((-76)\/(-228))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 + 528*j**2 + 5*j**3 + 2*j - 718*j**2 + 376*j**2 in the form d*j + m*j**2 + g*j**3 + w*j**4 + l and give m.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124 + -13?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98692604357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) - 60\/(-27). Let u(j) = 4 - 3*j**i - 13*j + 2*j**2 + 4*j**2. Let h = 2 + 3. Let l(t) = 2*t**2 - 9*t + 3. Give h*u(w) - 7*l(w).\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1041 - -3?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/42, 1\/2, 1?\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 11136?\nAnswer: 11136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, 2, -0.4, 11, 4190, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - n - 2. Let d be q(-2). Is 206 - (3 - (2 + d)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5716375 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -10, -7, 0, 11, 26, 45?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.52182 micrometers to kilometers.\nAnswer: 0.00000008752182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1, -5\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 at most 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 65*l**3\/6 - l. Suppose -2*s - 3*z = -39 - 42, 4*s = -4*z + 172. Let a(q) = s*q - 13*q - q**2 - 35*q. Give a(n(w)).\nAnswer: -4225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqssqqq. Give prob of sequence qss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -651 + 1138. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*o + 2445*o - 113190 = 174*o for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose -4*n + b - 57 = 0, m = b - 3*b + 2. Does 16 divide (n\/(-4))\/((-2)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 38\/(-36)*(-43492)\/1310?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 6.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11222303203 (base 4) in base 8?\nAnswer: -5526343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = -885. Let u = g + 3841\/13. What is the nearest to u in 1, -1\/5, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361 - 28. Suppose 2*j + 34*m - 29*m - 372 = 0, 0 = -j + m + 186. Let s = c - j. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -50315.\nAnswer: -86\/50315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-172*q**3 + 103*q**3 + 100*q**3)*(-2*q - 3 + 3*q - 4*q) as z + o*q + u*q**2 + k*q**4 + a*q**3 and give a.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167*g**4 - 14143*g**3 - 15*g**2 + 57620*g wrt g.\nAnswer: -4008*g - 84858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c - 5. Factor -g**4 - 4*g**5 + g**3 + 3*g**c + 0*g**5 + 2*g**4 - g**2.\nAnswer: -g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3 - 16*a - 11 + 4*a**2 + 36*a**3 + 6*a. Let p be (-44)\/(-4) - (3 + 0). Let j be v(p). What is j rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-15))\/y*y**(2\/5))\/((y*y\/((y*((y\/y**6)\/y)\/y)\/y))\/y)**36 assuming y is positive.\nAnswer: y**(-1513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 19451, 2, 0 in descending order.\nAnswer: 19451, 2, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2 + i)*(0*i - 2*i**2 + 0*i).\nAnswer: -2*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9072*o**2 + 9072*o**2 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let x(q) = -q**2 + q. Let g(j) = 20*j**2 - j. Let u(v) = -g(v) - x(v). Calculate f(u(s)).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.15209*0.03\nAnswer: -0.0045627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 161\/5 + 56\/70. Let w(x) = 17*x - 1. Let a be w(2). Is y less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 2*r + 0*r - 1)*(0*r**3 + r**3 - 3*r**3)*(3 + 12 + 0) in the form t + o*r**4 + m*r + b*r**2 + i*r**3 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1978*b**2 - 15*b + 25. Let z(v) = -16813*v**2 - 129*v + 215. Let j(r) = -43*n(r) + 5*z(r). Let d(q) = -7*q**2. What is d(j(g))?\nAnswer: -6846847*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1891 + 9459\/5. Let x be 1\/(7\/3) + 0. What is the nearest to -2 in p, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2262, 4522, 6782, 9042?\nAnswer: 11302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64, -281, -636, -1123, -1736, -2469, -3316?\n\"Answer: a**3 - 75*a**2 + a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rmrrsrroo?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7*a - 5*a + 3*a**2 - 10*a + 28*a = 0. Calculate a.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/60 + 61\/(-5). Let o be (-4)\/(-22) + h\/66. Which is greater: o or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + 1. Let f(o) = -4*o**3 + 6*o**2 - 8. Suppose 13*v = 33*v - 2000. Let m = v + -108. What is m*p(d) - f(d)?\nAnswer: -4*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-14) - -9*(-2)\/(-42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59866 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + s**4 + 0*s**4 + (-6 + 6 + 16*s)*(s - 6*s + 4*s)*(-4*s**2 + s**2 + 2*s**2).\nAnswer: 17*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -6)*30\/(-7). Let t = b - 26. Differentiate -t + 2*y - 3*y - y - 6 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2580 = 48*i - 33*i. Let a be (0 + -204)\/2 + -1. Let n = a + i. Calculate the remainder when n is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {t: 3, a: 1, l: 2, e: 3, g: 3, s: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13875984 and 1038?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 + 0.02. Let d = 0.54 - -0.16. Let m = d + 0.3. What is the third biggest value in w, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 5*p - 8 = 0. Suppose p*a - 1 = d + 3, d + 5*a = 24. Solve -5*n**3 - 52*n**d + 4*n + 32*n**3 - 28*n**2 + 33*n**3 + 16*n**5 = 0 for n.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -7*z - 1. Let b = 5 + -2. What is the lowest common multiple of b and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g - 261. Calculate the remainder when 30 is divided by f(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -1.1 (c) -85 (d) 3 (e) 0.04679 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let n(z) = -z. Let v(h) = h. Let w(u) = 30*n(u) - 5*v(u). What is w(b(l))?\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z*z**(1\/2))*z*z**4*z*((z**1\/z)\/z)\/z*(z*z**(-2\/11))\/z*z*z*((z*z\/(z*z**(2\/3)))**17)**(-17\/4) assuming z is positive.\nAnswer: z**(-2741\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/2 (b) 17 (c) -0.7 (d) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 19. Let s be j(-6). Sort -0.2, s, 3, 0.5 in decreasing order.\nAnswer: 3, s, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2014, 325, -1, 0, 2 in decreasing order.\nAnswer: 2014, 325, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = 3*n, -6*s + 2*s = 5*n + 8. Suppose -s*u = -321 - 369. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218*g - 18698 - 545 = 35567 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u - 100. Let n be c(-9). Let x be ((-93)\/(-465))\/(1\/(n - 0)). Let w(j) = -j**2 + 12*j - 36. What is w(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*y**6 + 2*y**3 + 8*y**2 wrt y?\nAnswer: -1320*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-1 + 5*(-2*sqrt(1200)*-3)**2).\nAnswer: 1295993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 119482578?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 211 + -34?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -1, 11, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*i - 971 = -1460*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9765817.1 + 9765775.0999963. Let g = m + 42. What is g rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*z**2 + 2*z + 510?\nAnswer: -40*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -895*t - 598*t - 612*t - 1260*t as b*t + z and give b.\nAnswer: -3365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -0.5, 6, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 0*t**2 + t**2)*(0 + 4 - 5) - 2*t**2 + 12*t - 12*t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (98 - 95) + -2*(-2 - -1). Solve -c*b + 5 = -5*k, 5*b - 16*k = -19*k - 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105758856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyfffyfyfyyfffff. Give prob of sequence ff.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 375693396?\nAnswer: 375693396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b982 (base 14) to base 9.\nAnswer: -116608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*h - 5 + 116*h - 53*h as o + p*h and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/(-3)*3\/8 and 7931\/824*18\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*c**2 + 365*c**2 + 305*c**2.\nAnswer: 820*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1618*s - 284. What is y(1)?\nAnswer: 1334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 618?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/26 + 2 - 1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*(2 + 25\/1). Suppose -2 = -7*u - z. What is the remainder when 57 is divided by 36\/30*(-10)\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*q = -30, -85 = -43*m + 68*m + 2*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5.33 (b) 83 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.877 - -6.477. What is the nearest to s in -0.5, -0.4, -53?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 - (-2 + -2)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 7. Let y = -11980 + 12003. Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a**3 - 4703*a**2 - 2556*a + 2541. What is d(-427)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -k + 49. Suppose v - k*v + 1 = -z, -v = 4*z - 16. Suppose 2*t = -3*w - 0*w + 2339, -v*w + 3*t + 3113 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158454, 316905, 475356, 633807, 792258, 950709?\nAnswer: 1109160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 4 (c) -4 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1670837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -382 + 271. Let z = j - -106. Suppose -26 = -4*p + 3*d, -d + 23 = 5*p - 0*d. Put -3, p, 8, z in increasing order.\nAnswer: z, -3, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, 64, 1701 in increasing order.\nAnswer: -5, 1, 3, 64, 1701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 16735040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 1 + 7159*k**2 - 7167*k**2 + (-2*k + 3*k - 2*k)*(3 - 3 - k).\nAnswer: -7*k**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*h - 2*z, -4*z - 56 = -h - 3*h. Suppose 2*o = 2*v - 2*o - 26, o + h = 2*v. Suppose -4*r + 12 = -12. Solve 1 = v*m + r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 87030.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10139 and 159?\nAnswer: 1612101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*p + 0 + 9 = 0, 0 = -2*s + p - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1614182 divided by -131\nAnswer: 12322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552745124.\nAnswer: 2, 3, 7, 443, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 7. Suppose 0*v - 3*v - 3*r = 9, -r - 3 = 4*v. Let a = v + -10. Is i(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 105*v + 25 + 45 - 21 - 22 + 5*v**2 in the form r + a*v**2 + o*v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 247. What is p(23)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 5, 2, 908 in ascending order.\nAnswer: -14, -4, 2, 5, 908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2858 + 0.4858. Which is the closest to 5? (a) 6 (b) p (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-5 - 44) - (22 + -38).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 909679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**6\/39 + 2*k**5\/13 + 53*k**4\/26 - 242*k**3\/39 - 952*k**2\/13 - 1568*k\/13 - 289. Solve v(d) = 0 for d.\nAnswer: -4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (-5 - (-1106)\/105). Find y such that 38\/15*y**3 - 26\/15*y**2 + b - 14\/15*y**5 - 8\/5*y + 6\/5*y**4 = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 48*o**2 + 171*o - 2716. Give q(50).\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1760 - -3885. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + p + 10. Let u be b(0). Suppose -13*d + 80569 = u*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 11*k**2 - 12*k - 3. Let p be ((-3)\/9)\/(3\/(-351)). Suppose 5*v - p = -2*t, -5*t - 23 = -2*v + 10. List the prime factors of q(v).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282790314.\nAnswer: 2, 3, 223, 70451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -650247 - 82753. What is u rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4166.978 decades?\nAnswer: 416.6978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -2 + -1 + sqrt(39)\/sqrt(3) + 1.\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5*j + 85 = 0, -103065*l = -103069*l - 31*j + 215 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, -30, -1, -6 in decreasing order.\nAnswer: 127, -1, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r - 83 = -q, -r + 5*q + 27 = 0. Find the third derivative of -r*k + k**2 + 4*k**3 + 17*k wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/4)*c*c*(c\/c**9)\/c*c*c**(-1\/31)*c*c**21 assuming c is positive.\nAnswer: c**(1887\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252 - -264. Which is the fourth biggest value? (a) -5 (b) y (c) -2\/13 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 2. Let w be c(-14). Let r = 13 - w. Calculate the least common multiple of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -o. Suppose -2*j - o = j. Let a be 0 - (j\/8)\/1. Is a < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 0 = 4*v + 96 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(10\/1))\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36532, -36531, -36530, -36529?\nAnswer: -36528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26 + 23)*2\/(-24)*-1. Let g = 5 - 3. What is the third biggest value in g, m, 9\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 10:02 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -43, -63, -99, -157, -243, -363?\n\"Answer: -d**3 + d**2 - 6*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -3*o**8\/28 + o**4\/12 - 3*o. What is the third derivative of s(x) wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (4 + 24 + -199 + -4)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47.48 + 47.68. Let f = 3.9 + 0.1. Sort f, o, -5\/4, 0.4 in descending order.\nAnswer: f, 0.4, o, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268699.\nAnswer: 47, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329 and 98042.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.1, -1.96 in descending order.\nAnswer: 4\/9, -0.1, -1.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5183 - 5218. Let u = 257\/3 - 85. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 528*w**4 - w**2 - 3*w + 13691 wrt w?\nAnswer: 2112*w**3 - 2*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3958 divide 709894012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2999735192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80551 + -57218. List the prime factors of v.\nAnswer: 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Let p = -5 + z. Let q(s) = -2*s**3 - s**2 - s - 1. Let u be q(-1). Sort p, -4, u in decreasing order.\nAnswer: u, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -30. Suppose 0 = -2*d - 13 + a. What is the derivative of -21*l**3 - 27 + 2*l**3 - 8*l**d wrt l?\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28351, -57026, -85701, -114376, -143051, -171726?\n\"Answer: -28675*y + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10303 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: Collect the terms in 42*q + 47*q - 87*q - 57254.\nAnswer: 2*q - 57254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-72)\/84*(-102)\/2322 and -62\/9.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/10)\/((-2)\/(-20)). Suppose 0 = 3*i - i - 16. Let u = i + -12. Sort -5, l, u in decreasing order.\nAnswer: l, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - -4617c?\nAnswer: 46198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/(sqrt(42)\/sqrt(6)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*s = -15, 5*w - 1 - 4 = -s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93269*c**3 + 518179*c.\nAnswer: 559614*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44363 is divided by 7388?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6023 and -10954?\nAnswer: -6597.5942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200022.\nAnswer: 2, 600011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 7, i: 3, r: 4}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/6 - 2*i**3\/3 - 3*i**2\/2 + 3*i. Let j be o(-2). What is the greatest common divisor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*o + 285, 2*o = -q + 131 - 25. Suppose z - q = -4*z. Suppose -3*k - 2*k = -z. Solve -2*l = -l - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 267, 263, 255, 243, 227?\n\"Answer: -2*n**2 + 2*n + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1172766*n**4 - 1142837*n**2 - 1 wrt n?\nAnswer: -28146384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -38*r**3\/3 - 36*r + 3. Let l(j) = 3*j**2. Determine w(l(d)).\nAnswer: -228*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3200\/400)\/(-1*1*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/592 and -77\/16108688.\nAnswer: 596021456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*(g**(-3\/2)*g)\/g*g)*((g*g\/g**(-3\/4)*g)\/g)\/g)\/(((g*g\/g**(2\/3))\/g)\/g**(-1\/3)))**33)**25 assuming g is positive.\nAnswer: g**(1925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s + 2*s + s + 0 + 0 + (-4 - 1 + 3)*(0*s + 0*s + 2*s) + 2*s + 2*s - 5*s - s - s - 4*s - s - 2*s + 2*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 10*v**2 + 65*v + 50.\nAnswer: -5*(v - 5)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 560660701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71.58 - 79.58. What is the closest to -65.5 in -0.3, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(8))\/sqrt(12) - sqrt(2)) + sqrt(18)\/(sqrt(72)\/sqrt(8)) + 2 + (sqrt(200) - (-3 + 0 + sqrt(200) + sqrt(200)) - sqrt(200)).\nAnswer: -19*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*i - 1318, 3*d + 4*i - 973 = -0*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -949, 24, 27\/4.\nAnswer: -949, -0.5, 27\/4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24\/113 - -682\/2147. Let d = 5 + 0. Which is the nearest to d? (a) l (b) -0.9 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/89724520 and 23\/143559232.\nAnswer: 717796160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = 3*g, -3*y - 7 = 4*g - 6*y. Suppose -v - g*v - 12 = 0, -i + 4*v + 22 = 0. What is the greatest common divisor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24978*f*l**2*q**2 + 2*f*q - l**2*q**3 + 2*q**3 + 4*q - 111 wrt l.\nAnswer: -49956*f*l*q**2 - 2*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40142047 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 40*a - 480, -4*k + 4*a - a = 4*a - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 198 + 126. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12980721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105653324 to the nearest integer?\nAnswer: 10279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37877 and 84126.\nAnswer: 455205786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3490\/54 + 1)*(-15)\/(-80). Let g = 51\/4 - s. Sort g, 0, -2 in descending order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 18 - 1 - 11 - 120*h - 53.\nAnswer: -120*h - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 16*p - 20. Let g be (2\/(-4))\/(1\/6). Let f be (-1)\/g - (-30)\/(-9). Put 1, f, p in decreasing order.\nAnswer: p, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.8 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:00 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -5. Let w = x - -16. Suppose -879 = -r + 2*b, w*r + 874 = r - 3*b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78463509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1725.4 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*s + s - 3*y, 0 = -5*s + 2*y + 33. Suppose -4 = -2*j + 6, 2*a - s*j = 1773. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + 29 + 14105\/182.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 66 = 3*x, -4*b + 64 = -8116*x + 8112*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y**2 - 2*y + 1. Let z(f) = -14*f**2 - 3*f + 2. Suppose 4*k + 24 = -w, -13 = 2*w - k - 1. Give w*t(s) + 5*z(s).\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 258 (base 12) to base 4\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {a: 2, g: 2, y: 7, c: 1, p: 4, f: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (49 - (-18 - -47) - 38).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350.627 - -0.873. Let d = v + -311. Round d to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/22230 and -34\/4034745?\nAnswer: 8069490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 21. Let u be h\/15 + 2 - 24\/45. Let j = -3 + 2.9. Which is the nearest to 0.1? (a) 5 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 7, c: 1, h: 3, w: 1}. Give prob of picking 1 w and 3 q.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -685 - -680. Which is the nearest to 1\/3? (a) y (b) -0.12 (c) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5098054.10799921 - 5098054. Let c = -0.108 + b. What is c rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*o + 63*o - 5 - 2609 = 1514 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 621621 divided by 56511\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -55. Let j = 48 - p. Let k = 36.75 - j. What is k rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 7*a**2 - 7*a - 4. Suppose g = 2*d - 15, -4*d + 0 = 3*g + 5. Is 15 a factor of r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -67. Let u(x) be the third derivative of -1\/6*x**3 + 1\/15*x**5 - 2*x**2 + 0*x - 1\/120*x**6 + 0 - 1\/24*x**4. What is u(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/12 + o**3 + o**2 - o. Let a(f) = -8*f - 2. Let s be a(-2). Suppose -3*z = 2*r - 3*r - 12, -z + s = -2*r. Give b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15031672 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: What is the thousands digit of 1944890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((-2)\/2 - 0). Let x = r - -1. Let z(a) = -a**3 + 3*a**2 - 2*a - 1. Calculate z(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.5, 8, -4818\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*z**4 + 133*z**4 - 61*z**4 - z**4 - z**4 + z**4 + (-3 - z**3 + 3)*(2*z - 4*z - 8*z) as v*z + b*z**4 + r*z**3 + l + q*z**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + (-12 - -10) + 14. Sort -7, -37, -4, h in descending order.\nAnswer: h, -4, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.7356 and 0.006.\nAnswer: 4.7416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b**2 - b. Let r(a) = 5*a**3 + 5*a**2 - 6*a + 2. Let u(v) = -r(v) + 4*w(v). Let q be u(2). Let l be 2 + -2*(-5)\/q. Solve -3*p - l = -13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**3*t**3 + m**3*z + 746*m**3 - 86*m**2*t**3 + 4*m*t**2*z - 2*m*t + 58*t**3*z - 25*t**2 wrt t.\nAnswer: -24*m**3 - 516*m**2 + 348*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24131 + -10519. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1699081 - 1699081 - 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285935120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*s**3*t**2 - s**3*t + 358*s**3 + 3*s**2*t**2 with respect to t.\nAnswer: 12*s**3*t - s**3 + 6*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -23*g**3 + 7*g**2 - 8*g - 11. Let f(y) = 8*y**3 - 3*y**2 + 3*y + 4. Give 11*f(x) + 4*t(x).\nAnswer: -4*x**3 - 5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = 4*y, -l - 3*l = 5*y + 14. Which is the smallest value? (a) 0.5 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5277 != 930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/((-4)\/6). What is the second derivative of -2*p**i - 7*p**2 + p**2 + 2*p wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 12:25 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11715177 - 0.1172. What is g rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2654 divided by 5\nAnswer: 2654\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7937103.\nAnswer: 3, 2645701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -613340 - 5?\nAnswer: -613345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + 1 + (399 - 408)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*j - 10*m, -5*j - 7800*m + 37 = -7802*m for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 4*k - 1. Let l = 9 - 7. Suppose -4*p = -0*p - a - 41, a + 23 = l*p. Let h(m) = m**2 - 8*m - 12. Let n be h(p). Give q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4481, -9027, -13655, -18377, -23205, -28151, -33227, -38445?\nAnswer: -43817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((832\/(-48))\/(-13)*(-10)\/(-20))\/((-582)\/(-18))?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -21*d**2 - 15*d - 15. Let z(v) = -3*v**2 - 2*v - 2. Let c(r) = 2*x(r) - 15*z(r). Let w(s) = -3*s. What is c(w(m))?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7366 - 7510.51. What is u rounded to 0 decimal places?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:34 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-116)\/12*12\/235. Let q = 5\/47 - v. Put -0.2, q, 0.4 in descending order.\nAnswer: q, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -3. Let j = -2\/14973 - -10697\/14973. Do m and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8644\/(-18) - (-16)\/72. Let w = 5765\/12 + k. Is w at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) 10566 (c) 0 (d) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-180) - (6 + (-66)\/(-54)))\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (2 - (-6 + 5 - -6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f + 3136 - 38605 = 0. What are the prime factors of f?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(204) - (sqrt(204) - (2*sqrt(204) + sqrt(204))*4))\/((sqrt(108) - sqrt(12))*-6) + 1).\nAnswer: -6*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5303470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50452 = 2*x - 2*k + 960, x = 2*k + 24741. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 6318.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -6*i + 513. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217 or 0.2?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1458)\/10935 - 148\/15. Let z(k) = -k + 5. Let o(g) = -g + 6. Let r(v) = 5*o(v) - 6*z(v). Determine r(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22171866 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - (-842)\/(-6). Let b = h + 220. Suppose l = -3*l + b. Calculate the remainder when 37 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-21))\/(-1))\/((-4)\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -841175 or -841032?\nAnswer: -841175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/(-24))\/(2\/102) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17916747 by -309.\nAnswer: -57983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*k + 2058 = -5*o + 4978, 6*k - 56 = 5*o for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -648410 (base 14) to base 9\nAnswer: -6356468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 10, 0 = 5*z - 2*w + 5*w + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -58*z + 1393. List the prime factors of s(11).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*a**4 + 67*a**4 - 5*a**4 + (3 - 2 + 1)*(a**2 - a**2 - a**4).\nAnswer: 82*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -105664 divided by -52\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1)\/(-4)*1. Let u = -9.6 + 0.6. Let q = 4 + u. Sort y, -1\/9, q.\nAnswer: q, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -17?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -1727500.\nAnswer: 1727496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 6, 4, 0.1 in decreasing order.\nAnswer: 160, 6, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 20*n**2 + 8*n + 5. Let f(a) = -a**2 - a + 10. Let g be f(0). Let p(w) = -3 - w - g*w**2 - 3*w**2 - 4*w. Let i(x) = -8*p(x) - 5*t(x). Determine i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t + 2*t. Suppose p = -3*z - 8, -4*z = -t*p - 2*p + 36. What is h in 16*h**2 - 19*h**3 - 4*h**5 - 5*h**4 + 19*h**3 - 7*h**p = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 589073626 to the nearest integer?\nAnswer: 24271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(11*b + 13*b - 8*b) - 3*b - 2*b + 4*b + (-2 + 4 + 1)*(-16*b - 13 + 13) - 5*b - b + 2*b - 3*b + 3*b + b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -452595, -905184, -1357773?\nAnswer: -1810362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g**5 - 126*g**4 + 404*g**3 + 20*g**2 - 798*g + 490 = 0. Calculate g.\nAnswer: -7\/5, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + ((-33264)\/(-9) - 3)?\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264888102.\nAnswer: 2, 3, 23, 1919479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34682 and 18.\nAnswer: 312138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*u + 19, -u = -3*j - 0*j + 9. What is the first derivative of -82 + 54*r**2 + 71 - 53 - 8*r**j wrt r?\nAnswer: 92*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x + 3. Determine o(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002572 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 12 + (3 - (2 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4802, -4787, -4776, -4781, -4814, -4887, -5012, -5201?\nAnswer: -5466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j. Let p(q) = 66457*q. Give s(p(b)).\nAnswer: 332285*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 5, 15, 40.\nAnswer: -3, 5, 7, 15, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 8372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 9*h - 3. Calculate the remainder when 2*(6 - 12)*4\/(-6) is divided by q(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.511 - -229.511. Let p = -176.5 + s. Let l = 53 - p. What is the third biggest value in l, 37, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:59 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5791 divide 51133920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817568390 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.78634ml to litres.\nAnswer: 0.05578634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.083323 - -0.115347. Let g = n - 4.2. What is g rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x - 3. Suppose 5*s + 3*w + 10 = 0, -5*s + 3*w + 12 = -8. Let j be r(s). Solve 0 = -2*d + 4*d + 3*t + j, 4*d + 20 = t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97202830 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t**2 + t**3 - 16*t**2 + 34 + 2*t + 11*t**2 - 18*t. What is the least common multiple of r(14) and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 41 = 2*m, -3*o - 84 = -4*m + o. Let n be -2 + -5*(-24)\/m. Sort n, -3, -2 in ascending order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*b - 20, 0*b - 3*b - 33 = -3*q. Let o(n) = 3*n - 8. Let a(w) be the third derivative of -w**3\/6 - w**2. Determine q*a(p) - o(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -86?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b + 18. Suppose a - 68 = -2*r, -r - 3 = -a - 40. Calculate the remainder when r is divided by o(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*k**4\/5 + 6*k**3\/5 - 84*k**2\/5 - 24*k\/5 = 0. Calculate k.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1000\/(-96) + 10 - (-2)\/(-8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 302 - 276. Suppose 31*u = r*u + 45. Solve w = 4*w - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e90a - c?\nAnswer: -e917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba884 + 4?\nAnswer: ba888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -7181.\nAnswer: -7181.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (-1*(sqrt(36) + (sqrt(36) + sqrt(108)\/sqrt(3) - sqrt(36))))\/sqrt(3888))*3.\nAnswer: -sqrt(3)\/3 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6020 and 8898162.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkk when three letters picked without replacement from {k: 3, w: 1, j: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 902723 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11438783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let b = -3 - -2. Let v(d) = 12157*d - 72945. Let q be v(6). Put u, -4, q, b in ascending order.\nAnswer: -4, q, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398607 is divided by 156?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 25. Let i = 18.251 - 0.251. Sort g, 4, 2\/9, i.\nAnswer: g, 2\/9, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 2. Suppose 7 = 31*a - 24*a. Let b(h) = -1. Let j = -5 + 4. Calculate a*x(p) + j*b(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 0*f**3 + 0 - 1\/30*f**5 - 6*f**2 + 0*f - 1\/6*f**4. Determine c so that s(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -614529 + 616926 - m + 0*m in the form o + p*m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t + 2. Let o(x) = x. Let f(g) = -4*l(g) + 72*o(g). What is the smallest common multiple of f(1) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 7527556?\nAnswer: 7527552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 158 in 185, 1.79, 1\/3?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2 - 4. Suppose q*s = 6*s - 16. Let n(v) = 2*v + 4. Let d(l) = 11*l + 23. Let u(p) = -6*d(p) + 34*n(p). Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2821?\nAnswer: -281c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(1232\/(-33))*-20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 11*g**2 - 2*g**2 + (1 + 1 + 0)*(-4*g**2 + 0*g**2 + g**2).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 640199 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:29 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g - 107. Let t be b(11). Let z be 2\/(-4) - (-366)\/12*1. Solve -7*d = t*d + z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1424 and 56426.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5686, -11302, -16918, -22534, -28150, -33766?\nAnswer: -39382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3844458*j**2 - 2092898*j - 1 wrt j?\nAnswer: -7688916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001105757 rounded to 7 decimal places?\nAnswer: -0.0001106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**8\/11200 + a**7\/4200 + a**4\/6 - 4*a**2. Let h(j) be the second derivative of b(j). Factor h(q).\nAnswer: 3*q**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -10*b + 4*b. Let i(t) = t + 15. Let q be i(b). Suppose 1 = m - q. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 246 = -105. Which is smaller: 38 or f?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*i = 4*i - 8, -2 = w - 2*i. What is the nearest to w in 0.5, -1, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:58 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = 4*a. What is the closest to -3 in -2\/7, 3\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453 divided by 3.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -251*q**2\/2 - 367*q - 239. What is the first derivative of f(g) wrt g?\nAnswer: -251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2 (base 14) to base 15.\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - u + 2447370767 = -4*l, 2*u + 6 = 0. Let g = 76012888707239\/31059 + l. Let z = g + -12\/493. Find the common denominator of z and 50\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23725*s**2 + 436 - 108 - 106 - 108 - 114 + 23732*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77063 and 545?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -17b3?\nAnswer: -17b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1051373396, 1051373394, 1051373392, 1051373390, 1051373388, 1051373386?\n\"Answer: -2*p + 1051373398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 5) in base 4?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, 0.5, 0, 2.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 3*v. Let j(p) = -p. Suppose 38 = -5*z + 23. Give z*j(k) - d(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -104, -10, 17.\nAnswer: -104, -10, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*h - 27 + 27)*(2*h - 4*h + 5*h) in the form n*h + w*h**2 + x and give w.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (11 - -11)) + 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -3\/5 (c) 13 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x + 9 - x**2 - 2 + 6 - 2. List the prime factors of j(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(68) - (2 + (-2*sqrt(68) - sqrt(68)))) + sqrt(68))*-1)**2 + ((-2 + sqrt(68) - sqrt(68)) + 2 + sqrt(68)*4 + -2)**2.\nAnswer: -72*sqrt(17) + 2796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -198. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 785295?\nAnswer: 1570590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/360 - 31*c**5\/180 - 215*c**4\/72 + 247*c**3\/18 - c**2 - 4*c + 26. Determine i, given that m(i) = 0.\nAnswer: -19, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 956, 3860, 8708, 15506, 24260, 34976, 47660?\nAnswer: 62318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 + 4*g - 2. Let w be a(2). Suppose -3*r + 4*v = -w*r - 737, 2891 = 4*r + 3*v. Let c = r + -499. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 49*u + 1. Suppose 3*j + 6*s = 4*s + 61, -j - 8 = -5*s. What is the tens digit of f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -53*(5 - 24\/3).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - (55 - 35)) + -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f + 7 + 2 - 9 as z*f + h and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q - 2. Let y be d(6). Suppose -3*s = s - y. Suppose -10*g + 507 = 87. Calculate the highest common factor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**6\/24 + 29*i**5\/5 + 1739*i**4\/8 + 551*i**3 + 3249*i**2\/8 - 681. Factor t(k).\nAnswer: k*(k + 1)**2*(k + 57)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/9 - 23600*u**3\/9 - 2046262*u**2\/9 + 2470180*u - 6339200 = 0. Calculate u.\nAnswer: -96, 5, 11886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-1 - (6 - 1)). Let k be p + (1\/(-1) - -1). Let m be 2*6\/k*-2. Solve y = m - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 10) in base 16?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*s**3 - 1259*s**3 + 256*s**3 + 29 + 254*s**3 + 247*s**3 + 249*s**3.\nAnswer: s**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -440 - -441. Let i(c) = -c**2 - 3*c + 3. Give i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 366 = 3*t, 0 = -n + 2*t + 197. Suppose 7*p = 8*p - n. Let f be 4*2 - (0 - 19). Calculate the highest common divisor of p and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77.8307 - -0.95\nAnswer: -76.8807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -727 + -1055. Which is smaller: p or 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -462956152012.\nAnswer: -462956152011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0873268994 plus -0.2?\nAnswer: 8.8873268994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-786)\/1179 + 330\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + 660\/(-154) + 6. Find the second derivative of -125*c**t - 34*c - 19*c**2 - 9*c - 112*c wrt c.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/9)\/((-4)\/3546) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-25)\/20 - (-2 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 84*k - 1236. Give c(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245 + 250. Solve 13 = -4*x + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 29. What is the third derivative of -4*u**2 + 2*u**3 + 15*u**2 - 4*u**r - 10*u**2 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -17 + (1 - (8 - (0 - -1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 6\/5 (c) -1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**3 + s**2 + 3*s. Let u(p) = p**3 - p. Suppose 0*g - 2*g - 2 = 0. Let h(y) = g*d(y) - 3*u(y). Find the third derivative of h(l) wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -61. Let o = f - 30. Let p(i) = 2*i**2 + 7*i + 5. List the prime factors of p(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5119979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 203*a**3 - a**2 + 1. Is w(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0165512206 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5415, -22029, -49721, -88491?\n\"Answer: -5539*m**2 + 3*m + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.89 + -2.32. Let g = y + -1.77. What is the nearest to 4 in 2, g, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1bb9?\nAnswer: 1bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5\/2 - 24654*p**4 + 197130*p**3 + 98616*p**2 - 788544*p = 0.\nAnswer: -2, 0, 2, 8, 16428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 9}. Give prob of picking 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/19152 and 85\/10224.\nAnswer: 1359792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-26) + (-24852)\/(-1417) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 + 17*x**2 - 5*x**2)*(-x + 0*x + 3*x) - 7 + x**3 + 7.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 53. Let n be l\/35*17 - 28\/(-98). What is the smallest value in 1\/6, -5, n, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.971 - 1300130.11.\nAnswer: -1300128.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -13. Let w be 5\/(-5)*20\/2. Let i be (-1)\/2*w\/(-20). Which is the closest to i? (a) 2 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, -199, -418, -657, -922, -1219, -1554?\n\"Answer: -v**3 - v**2 - 195*v + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 3*g - 31. Let r be h(-5). Suppose 5*m + 955 = 5*u, -r*m - m = -3*u + 581. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*t + 90*t + 97*t + 262*t**2 to the form p*t + w + q*t**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 39. Suppose 3*c - 30 = -2*c. Suppose c*g - 2*g = 8. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12871485*n + 69180522 wrt n?\nAnswer: -12871485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 12:32 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 20, 243*p - 25 = 2*n + 240*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(133)\/(sqrt(14)\/sqrt(2)))**2*2 - ((sqrt(19) - ((sqrt(19) + 1)*-1 + sqrt(19))) + (0 + -1 + sqrt(19))**2)).\nAnswer: sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-24)*(-38)\/57. Let h(m) be the second derivative of -1\/18*m**3 - 2*m + 1\/72*m**4 + q*m**2 + 0. Factor h(y).\nAnswer: (y - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 3.84 (c) 0.1 (d) 1\/7 (e) -45\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -4\/5 (c) -2\/11 (d) -3\/2 (e) -72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4764, 4772, 4780, 4788, 4796?\nAnswer: 4804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 15 + 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tihipjii. What is prob of sequence ht?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 11*p**2 - 7*p**2. Let s(o) be the second derivative of o**6\/180 + o**3\/6 + o. Let l(r) be the second derivative of s(r). Determine u(l(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**7\/1680 - f**6\/240 + f**5\/480 + f**4\/32 + 36*f**2 + 8*f - 3. Suppose o(c) = 0. What is c?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3153, 3150, 3147, 3144?\n\"Answer: -3*h + 3156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 416 - 104 = 0. Let r be 51 - (-2 + 3\/3). Calculate the greatest common divisor of r and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2545142156 - 16?\nAnswer: -2545142205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15006871877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 7) in base 13?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18625\/6 + 3104. Let z(x) = -x - 2. Let d be z(-7). Which is the closest to 5? (a) -2\/9 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*q**2 + 33*q**2 + 7*q**3)*(-2*q - 3*q + q) + (-2 + 0 - 3)*(3*q**2 - 2*q**4 - 3*q**2)*(4 - 5 + 0 + (-2 + 3 + 1)*(4 - 2 + 0) - 1 + 2 + 1).\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 5270.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1a?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.023158 (b) 199 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -481 + 477. Sort -1\/2, -0.06, k, -5 in increasing order.\nAnswer: -5, k, -1\/2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 2:32 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 173 + 173.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123744917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 55. What is the smallest value in 1\/4, u, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60149 - 10980 = -2281*f - 89972 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2143534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 384743 by -3.\nAnswer: -384743\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1390898 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -236.20460115 + 235.6646. Let k = -0.54 - s. What is k rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*r - v - 0, -3*r - 3*v = -18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 9:05 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 16 + 5*v + 24 - 2*v to k*v + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r*r**(-2\/15)\/r*r*r*(r**(-2)\/r)**2)**(-14\/5))**48 assuming r is positive.\nAnswer: r**(10528\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/3 + 357172*q**3\/15 + 22534072*q**2\/15 + 8842192*q\/5 = 0. What is q?\nAnswer: -35654, -62, -6\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 - (56 + 40)) + 71.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10944 and 149796?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 15, v: 3}. Give prob of picking 1 x and 3 v.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151325 is divided by 707.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d - 2*q, 3*d + 3575*q - 21 = 3580*q. Let y = -0.2 - -0.3. Put y, d, -8 in increasing order.\nAnswer: -8, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -8598418.\nAnswer: -8598418.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 5*w + 42. Suppose -3684 + 24378 = w*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 + 13*n**4\/6 - 13*n**3\/3 + 25*n**2\/2 + 1036*n. Give f(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.22612 rounded to one dp?\nAnswer: 87.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 28 + 22 = 2*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 38299.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:30 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuiz when four letters picked without replacement from {i: 2, u: 5, q: 4, z: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 148. Let t(y) = 2*y - 5831. Determine t(a(i)).\nAnswer: 4*i - 5535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 9904*c**2 + 39590*c + 29688.\nAnswer: 2*(c + 1)*(c + 3)*(c + 4948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r - 80. Let k = -7 - r. Let w(t) = t + 1429 + t**3 - 448 - 461 - 9*t**2 - 525. Calculate w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 1 (c) 40 (d) 933\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olge when four letters picked without replacement from lgldogeh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4*2\/((-330)\/335). Let o = t + 8\/33. Factor -3\/4*a**2 + 3\/4*a**3 - o*a + 3\/4.\nAnswer: 3*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 + -198. Is -54 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -12315?\nAnswer: -4\/12315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3688, 7752, 11816?\n\"Answer: 4064*p - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 - 1200*o**3 + 23865*o**2 + 25070*o = 0. Calculate o.\nAnswer: -1, 0, 23, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918 + 2*x + 58*x**3 - 460 - 47*x**2 - 458 + 47*x**2.\nAnswer: 58*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:16 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5200 and 87750?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 292803280\/527 - 555608. Let p be (-312)\/51 - 4\/(-2). Let k = z - p. Are k and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 48. Calculate the highest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 1. Let w(p) = p + 12. Let r(h) = h + 10. Let g(o) = 6*r(o) - 5*w(o). Give -d(b) + g(b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 40.68 (c) 1569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -3151?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*u + 2483, -2*u - 1218 + 212 = -2*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 4*a - a - 12, -5*n + a - 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 100 + 11*a**2 - 203 + 103. Let m(o) = -o. Calculate m(p(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 12*c**2 + 14*c - 9. Let z be x(13). Solve 5*r = z*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10916 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097107 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 69.863666749?\nAnswer: -68.863666749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/11 - 13\/22. Let j be ((-1676)\/(-28))\/((-2)\/2). Let h = j + 60. Which is the biggest value? (a) h (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*a + 17 = 0, -h - 2*a = -513 + 504 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/5 - (-2)\/(-5). Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12095*a**2 - 26*a + 86. Is v(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 15062?\nAnswer: -15052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 4*j**3\/3 - 5*j**2\/2 - 4*j. Let r be s(4). Suppose -t = -0*t - r. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 218*r**2 + 636*r + 40. What is y(106)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -57*r + 1835. Determine b(33).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 4. Suppose -2*k + 0*k = -5*q + 114, -h*k = 10. Suppose -q = -3*s + 65. Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3460736570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*z - 3. Suppose 5*c + 5*l - 98 = -23, 3*c - z*l - 55 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 15) in base 12?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and -22481.\nAnswer: -22480.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**5 + 111471*g**4 - 742278*g**3 - 5719446*g**2 + 4307727*g + 2042535 = 0.\nAnswer: -5, -1\/3, 1, 11, 12379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*d + 27, 5*m - 5*d = 34 - 59. Solve 5*n = -m*y + 5, 4*y = -n - 15 - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Does 9 divide b + -1 + 1 + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let o(k) be the second derivative of k**4\/3 + 5*k**2\/2 - 4*k. Let q(b) = 3*b**2 + 4. Let u(l) = -4*o(l) + 5*q(l). Determine r(u(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -51.23. Which is smaller: a or 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-24)*15\/(-35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 g, and 1 s when four letters picked without replacement from {g: 2, m: 3, u: 1, s: 7, w: 6}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156977, 156929, 156849, 156737, 156593?\nAnswer: 156417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -32*u**3 - u**2 - u - 2. Suppose 16 = -3*p + 106. What is the smallest common multiple of p and b(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 0 + 12\/32 + 4794\/16.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -678dd2?\nAnswer: 678dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7354152 and 364?\nAnswer: 51479064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6058 or -5761?\nAnswer: -5761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*1 - sqrt(2)) + sqrt(2) + sqrt(18)*6)**2 - 2*(0 + sqrt(18) + 1)**2.\nAnswer: -12*sqrt(2) + 1762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 29 + 0*o - 24 - 3*o**2 - 3*o**2 - o. Determine q(-4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3\/2 - 753*n**2\/2 - 5682*n - 9870 = 0. Calculate n.\nAnswer: -235, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -16. Let t(b) = -4*b**2 + 9*b - 11. Let d be t(6). Let h = d - -112. What is the lowest common multiple of x and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1060771.196 to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1865, -468, 3389, 10936, 23403, 42020?\nAnswer: 68017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-10) - 28\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-6))\/(6\/(-2)). Let g be (-40)\/(-8) + (-102)\/21. Which is the nearest to 12? (a) g (b) 2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 3 = 189. Let v(y) = -7*y - 13*y - d*y + 34*y. Let z(c) = 194*c**2. Calculate v(z(h)).\nAnswer: 388*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 32*d**2 + 2*d - 71. Let z be k(32). Let m be (-4 - (6 + -8))\/(2 + z). Which is the nearest to 2\/5? (a) 9 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 31. Let g be a*5*6\/(-10). What is o in 1\/4*o**2 - 3\/4*o**g + 0 + 1\/2*o = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 g when four letters picked without replacement from guguuuuguuuuug.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*p + 4, 23*c = -3*p + 19*c + 46 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 52. Let x(c) = c**2 + 1. Let q(v) be the third derivative of -v**5\/60 - v**3\/6 - 10*v**2. Determine s*q(l) + x(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-64 - 1113)\/(-107) - (49 - -1)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q - 80*q**2 + 153*q**2 - 2 + 2*q**3 - 71*q**2 + 12*q to g*q**2 + m*q + d + v*q**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = y - 6*y. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 45*i - 54. Let j(q) = 8*q - 10. Let z(c) = -27*j(c) + 5*s(c). Let t(m) be the second derivative of -m**3\/6 - 8*m. Give t(z(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 12*z - 10. Let c be x(11). Let y be c\/(12\/10 + -1). Let -2*j**2 - 3*j + 0*j - 6 - y*j = 0. Calculate j.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*b - 13, 4*h = -5*b + 2*b - 24. Let n be (b - -1)\/(3\/(-4)). Solve n*q - q - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 17176075\nAnswer: -17176070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1211 - 737. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3\/5 + 24231*i**2\/5 - 154401*i - 506835 = 0.\nAnswer: -3, 35, 8045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3) + 1 + sqrt(21)\/sqrt(63).\nAnswer: 1 + 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248 and 56?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhnn when four letters picked without replacement from {n: 2, h: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyyyyh. Give prob of picking 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 3 + 1\/(-1). Let u = -69 + 69. What is the third smallest value in r, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5750 + -5225. What is the greatest common factor of 1750 and x?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {e: 6, v: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r - 8. Let f(a) = -a + 1. Let x(h) = -3*f(h) - v(h). Let k be x(-3). Solve k*c - 16 = 5*t, -5*t + 2*c - 13 = c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25103500 and 8033120.\nAnswer: 200828000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25183, -50386, -75585, -100780, -125971, -151158?\nAnswer: -176341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.965 - 2.665. What is the nearest to x in 24, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 35*c**3 - 16*c**2 + 21*c - 41. What are the prime factors of r(7)?\nAnswer: 47, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.70315 litres to millilitres.\nAnswer: 58703.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53633 rounded to two decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-25) + (-334)\/(-10). Let s = -197\/6 + f. Which is the closest to 1? (a) -3 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*(0 + -1 + 4) + -1397. Does -7001\/5 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0) + 96\/(7 + 1). Solve l*w + g - 3 = 3*w, 4*w + g - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n**2 + 3*n**2)*(2*n - 10*n - n).\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -70?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 2*m + 20. Give p(-5).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 7*a - 6. Let r be n(6). Let b be -4*(0 - (r - -1)). Suppose -l + 28 = 3*d, -l - 2*l - b = -2*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7588.7 - 7584. Which is the closest to 0? (a) o (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 2774146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwpw. Give prob of picking 1 p and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -171868134873?\nAnswer: 171868134872.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-2))\/(-39)*(-7)\/(420\/(-108))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.048 (b) -1245 (c) -1 (d) 0.2 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(170) - 5*(sqrt(170) - sqrt(170)*-2))\/((-3*(sqrt(110) + sqrt(110)*-2) - sqrt(110) - sqrt(110))\/(sqrt(1100)*-2)).\nAnswer: 660*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -82 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 0, 0 = -4*n - 5*z + 20 + 40. Suppose -n = -0*o - 3*o, 0 = -5*d + o + 25. Solve d + 2 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 51. Let v = x - 21. Let s = 3 + v. Solve -s*d - 20 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -125\/3. Let n = 2 - 1.96. Let y = 1.96 + n. Which is the nearest to v? (a) -6\/7 (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4319*o - 21623. Give g(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -6, -4, 12678 in increasing order.\nAnswer: -6, -5, -4, -3, 12678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -95. Let c be (-21)\/(-2)*4\/6. Calculate the greatest common divisor of c and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(91) + sqrt(91)) + sqrt(91))\/sqrt(7) + (sqrt(325) + 2*(1 + sqrt(325)) - sqrt(325)))**2 + 3.\nAnswer: 92*sqrt(13) + 6884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3403 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -29. Let k = 10 - t. Let o = -4.1 + 4.5. What is the third biggest value in k, 1, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -0.4, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1584\/54)\/(36\/27).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = -3*b, -v = -2*v + 5*b + 11. Let h be ((-1)\/v*0)\/(-2). Let w = -12 + 8. Sort h, w, -0.2 in increasing order.\nAnswer: w, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let z be (8\/(-5))\/(8\/20 + 4\/(-5)). Solve -c + z = -l*n, -n + 3*c + 11 - 3 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - 3 - (1 + -3). Suppose 2*n = a*n. Let s be -1 + 2 + n\/2. Solve t + s = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*1)\/(2 - 3). Let q = -64 + 124. Suppose -k*n = -6*n + q. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/78*4\/((-36)\/27)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 2, q: 9, b: 1}. Give prob of picking 1 b, 1 q, and 1 e.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182136496 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(8 + 4*x**3 - 8) + (3*x + 0*x - x)*(3*x - 4*x + 3*x + (2 - 2 - 1)*(x + 2 - 2) - 2*x + x - x)*(-9 + 9 - 4*x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1 - (-3 + sqrt(1088)))*3.\nAnswer: -18*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, o: 6}. Give prob of picking 3 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**2\/2 + 916. Let o(u) = -u + 1. Let w(a) = 12*a - 3. Let k(d) = 5*o(d) + w(d). Calculate 6*g(h) + k(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 4 = -16*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 275, -8, 4, 2, 3, -2 in descending order.\nAnswer: 275, 4, 3, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -658 - 449. Factor -89*f**3 + 14*f**2 + 7*f**2 + t*f**3 - 9 + 39*f**3 + 21*f.\nAnswer: -3*(f - 3)*(f + 1)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-3)\/((-3)\/(-1)). Let p be (-23)\/(-2) + a\/4. Solve z + 3*z + p = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ba61 (base 12) to base 7\nAnswer: -113554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000241 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*p - 21 - 64, 72 = -3*p + 2*o. Let d be 9\/(-6)*2*p. Let n = d - 42. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34524 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 2. Let a be t(0). Let b = 117 - 111. Suppose 1 = 5*s - u - b, s = -3*u + 11. Solve x - 4*x = s*p, -4*p + a = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1762410, 7049611, 15861612, 28198413, 44060014?\n\"Answer: 1762400*k**2 + k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 20*d = 0. Suppose d = 4*b + 4*r - 3*r - 7, 0 = b - 2*r - 4. Suppose -5*h - 2*t = -t - 6, -h + b*t = -10. Which is greater: h or 18\/17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.138?\nAnswer: -0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 2, j: 1, s: 6, f: 1}. What is prob of picking 1 u, 1 f, and 1 j?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6 + 2 - 8 + 3*w. Let j(h) = -2*h - 2. Let m be j(-2). Let n(i) = -2*i**m + i - i. Calculate n(t(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-3 - 1\/1). Let f(o) = -o**3 - 2*o**2 + o + 3. Let k be f(p). Solve 0*g - g + k = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1665\/862273 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p - 58 + 58)*(4*p**2 - 2*p - 3*p**2 + 0*p) to the form c*p**3 + x + l*p**2 + i*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 858.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0 - sqrt(567) - sqrt(567))*1)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 171 in 0, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*o**3 - 2*o**2 - 44*o + 20*o - 71*o**3 + 11*o + 11*o in the form y*o + w*o**2 + s*o**3 + d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 1. Let s = -173 - -174. Give x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/12 + 25*j**3\/6 + 6*j**2. Let v be m(0). Solve 5*o - 3*l = -15, -6*l = 3*o - l - v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 869428552 to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -164465.548 rounded to the nearest one thousand?\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46742 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 tens digit of 455815785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * 571\nAnswer: 211.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 - -507\/4. What is the closest to t in -4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*i + 38 = -314*i - 152. Which is smaller: 37\/1194 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 92, 76, 60, 44?\n\"Answer: -16*t + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 638 and 9219564?\nAnswer: 101415204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**5\/20 + 5*x**4\/12 + 7*x**3\/6 + 3*x**2 + 9*x + 20. Let n(d) be the first derivative of t(d). Calculate n(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -900138 by -426.\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2)\/(-7*(-18)\/63). Let w(g) = -169*g**3 - g**2 + 2*g + 276. Let p(i) = -i**3 - i**2 + 2. Let h(l) = q*p(l) - w(l). Differentiate h(b) wrt b.\nAnswer: 504*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4491263 divided by 41?\nAnswer: 109543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/4)\/((-3)\/(-12)). Suppose 8*y - s*y = 25. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1303942 or 1303939?\nAnswer: 1303942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -p - 8, 5*p + 5*n - 38 = 12. Suppose 4*z - 5 = p. Let i = 0.03 - -2.97. Which is the closest to z? (a) 4 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/11)\/(27\/(-81)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(45\/(-2)))\/(2\/(-1)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 2ab8b?\nAnswer: -2ab8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 20278*p - 3915. Is h(56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 2\/5 (d) -2.9 (e) -1147 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h - 223. Let n be s(-14). Let q = 157 + n. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011001 - 100?\nAnswer: -1001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -451 + 454. Suppose y*d = -3*w + 15, 4*d - 7*w - 12 = -3*w. Let p = -3 + 5. Solve -17 = 5*m - d*m - 3*u, p*u - 6 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1054 + 227?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*a = 77, 0 = 2454*q - 2456*q - 2*a - 42 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16400 by 4.\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41815?\nAnswer: 5, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 5*a**5 - 3*a**5 + (-915*a**3 - 287*a**3 + 751*a**3)*((-1 + 1 + 2*a)*(3*a + a - 5*a) - 3*a + 3*a - a**2) - 2*a**5 + 2*a - 2*a.\nAnswer: 1342*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (27 - 10) - 14 - -10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 21*d**2 + 18*d + 54. Let z be v(-8). Calculate the highest common factor of 114 and z.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 38*s**2 + 542*s - 141. Calculate n(49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millimeter in micrometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54313486 rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 24*i**2 - 3*i - 1 + 2*i**4 - 25*i**2 as u*i + k*i**3 + b + t*i**4 + a*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-98)\/(-4))\/7 + (-45)\/(-30). Suppose 5*t = k*j - 25, -15*j + 12*j - 4*t = -15. Solve j*h = 2*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16303*f - 2042880 = -5201*f for f.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2))**(-3)*q**(-2\/11)\/q**(-5\/6))\/((q**(-2))**(-2\/79)*(q*q**(-8\/3)*q*q*q)\/(q*q**(1\/5))) assuming q is positive.\nAnswer: q**(30133\/8690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1418.98 to the nearest integer.\nAnswer: -1419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/24)\/((-1)\/4). Let v = c - -9. Suppose -4*x = 3*y + 18320, -2*y + v*x - 12210 = 2*x. What is y rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 22 + 13 = 0, 16*i + 3*z - 15*z + z + 166 - 48 = -5*z for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 + -49. Let g = c + 92. Let n = -126.00000094 - g. Round n to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79, -26, -131?\n\"Answer: -105*d + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 7*i. Let a(l) = -3*l**2. What is v(a(z))?\nAnswer: -18*z**4 + 21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 120*o - 413. Solve 4*x + 3*l - 5*l - 16 = 0, 0 = o*l - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 - 208*c - 2149. Determine y(-17).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 59\/2, -3, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*h + 3. Let n be (h\/(-4))\/(42\/(-4)). Let w = -4.9 + 4.8. Is w <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 4, t: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 35. Let x be n(-21). Let k(c) = -c**2 + 17*c - 27. Does 7 divide k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/5 + 111\/(-15). Let c be n*12\/15*20\/(-8). Suppose -4*a - c = -5*q, -q = a + 1 + 3. Solve q = 2*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9527997?\nAnswer: 3, 1069, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -109160 to the nearest one thousand.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6330 (base 8) to base 15.\nAnswer: -e93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620157 (base 8) to base 14.\nAnswer: 54967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21758 divided by -4\nAnswer: -10879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 + 2*s + 1. Let r = -8 - -11. Let g be p(r). Suppose 0 = -g*m + m + 240. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.027 - 15.195876351.\nAnswer: -15.168876351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3548 divided by 887?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -26*h + 16. Let n(r) = 5*r - 3. Let i(m) = 16*n(m) + 3*s(m). Let v(f) = -8*f**2. Determine v(i(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.185081 decades in millennia?\nAnswer: 0.06185081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1727*d - 29898. Give v(17).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -10*o - 70. Is 128 + 0 + o + -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 232*h - 10. Let c be g(-5). Let w be 6 + 6684\/c - 2\/13. Let b be (9\/(-324)*-4)\/((-2)\/(-6)). Put -0.3, -3, w, b in descending order.\nAnswer: b, w, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkmkkpkmmkkkkkpp. What is prob of picking 1 k and 1 m?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from kkembbbbbekke.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-28)*(-7)\/(-231))\/((-3)\/(-21))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 99, 1.2, -1\/2 in decreasing order.\nAnswer: 99, 14, 1.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 7 = 16. Solve v*x = -3*h + 3, 0*x = -5*h - 2*x + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85748878 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3820607 is divided by 657?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1895307, 1895297, 1895287, 1895277?\nAnswer: 1895267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*(-5*-2*sqrt(119) - sqrt(119)))\/((sqrt(70) + -2*(sqrt(70) + sqrt(70)*2) + sqrt(70))\/sqrt(10)))**2.\nAnswer: -37179\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13254 (base 8) to base 14\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-513)\/3990*10*(-2)\/(-6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 10 - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 329012, 329033, 329060, 329093, 329132, 329177?\n\"Answer: 3*z**2 + 12*z + 328997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/6, 1\/3, 3, -173?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - i + 10 = 0, -13*i + 9 = v - 10*i. Let m = 72 - -84. Calculate the remainder when m is divided by (-30)\/v*-1*-4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/19943336 and -119\/5352.\nAnswer: 59830008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Suppose -3*a + 66 = -0*a + 3*o, 0 = a + t*o - 10. Suppose 2*h = 2, -3*s - h + 36 = -4*h. Calculate the remainder when a is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w + 2. Calculate d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5 = -t - 0*h, -5*h = 5*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*i - 429 = 124*i. Let l = i - 93. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214\/12 + (116 - 135).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 + 2*g. Suppose 0 = 6*o - 4*o - 2. Let k(s) be the third derivative of -s**6\/120 - s**4\/24 + s**3\/6 - 2*s**2. Give o*t(u) + 2*k(u).\nAnswer: -u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d - 1269 + 73 = 0 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83040461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 52167*a\/4 - 78237\/2.\nAnswer: -3*(a - 17386)*(a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 280\/(-175)*(-10)\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410175253.\nAnswer: 797, 514649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1463 is divided by 148.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72201*a + 2728 = 72289*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000291 to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -932*k**3 - 4 - 5*k**2 + 933*k**3 + 2*k - 3*k in the form g*k + t*k**2 + q*k**3 + h and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0 (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/113 (b) 0.2 (c) 2\/23 (d) 0 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.899349 months to decades.\nAnswer: 0.007494575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21022141 (base 5) to base 16\nAnswer: -2a56d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (25 + (11 - 9))) + -21?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 146 = -5*l, 28 = -5*l + n + 182. Suppose -3*y - 5*b + 37 = 0, 5*y + b = -b + l. Solve -5*a = -r - 13, -3*r + 5 - y = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(140)\/sqrt(5)*4 + -4*(sqrt(196)*-2)\/sqrt(7))*5)**2.\nAnswer: 2400*sqrt(7) + 100900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*j, 0 = 33*j - 29*j + 3*c + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 263 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.2 + 23. What is the fourth smallest value in 2\/9, 1, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/(a**4\/a))*a\/(a**(-2\/7)*a)*(a*a*a**(-2\/7))**1*((a\/(a\/(a\/(a**(-2\/7)\/a)))*a)**9)**26 assuming a is positive.\nAnswer: a**(5424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1851*l = 2196*l + 2359*l + 159536 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 800 and 8.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 - 423 = 16*z - 289 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*d + 587, 0*q - 119 = d - q. Let i = 134 - d. Suppose 5*w + 3*s = i, 5*w = -5*s - 0*s + 250. Calculate the greatest common divisor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 9*k**2 - 796*k - 3960. What is h(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197828791 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4356.\nAnswer: 1\/1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0 (b) 64 (c) -0.08 (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/15)\/((-12)\/(-8)). Let m = 31\/15 + -12\/5. What is the second biggest value in o, -1\/9, m?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 460700139 to the nearest integer?\nAnswer: 21464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 7, v: 2, u: 1, j: 4}. What is prob of sequence vjv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**10*n)\/n*n*n\/n**(-5)*n**(4\/7)*n**10*n*n assuming n is positive.\nAnswer: n**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 9. Let r(k) = -2*k - 1. Let b(l) = 2*r(l) - z(l). Let c be b(7). Solve -3*y = -c*y - 3*o, 0 = -4*y - 4*o - 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x. Let f be 2\/9 + (-16)\/72. Let n be c(f). Let r = -474 + 479. Solve r*j - j + 12 = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - 264\/(-385). Which is the third smallest value? (a) -0.5 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 13*c - 21 = 10*c, -4*j + 3*c = -15. Let l = 924 + -922. Suppose 2 + 2 = 2*h. Solve j = -l*x + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3706.3 + -3706. Which is the closest to o? (a) -2\/13 (b) 2\/15 (c) 1\/2 (d) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 8*g**2 - 506*g - 130. Calculate f(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1945*r. Let w(k) = 1471*k - 493*k - 489*k - 488*k. Give w(t(c)).\nAnswer: 1945*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - -22?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -34895*d - 3663981. What is f(-105)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1080\/11 - 1\/((-33)\/(-6)). Let h = v + 62. Suppose 7*d - 414 = h. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 + 5*b - 5. Suppose 11*s - 20*s - 108 = 0. Let p be (s - -2)*3\/6. Let g(v) = 4*v**2 - 3*v + 3. Determine p*g(l) - 3*m(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*b**4 - b**2 + 0*b**2 - 10*b**4 - 6*b**3)*(-12 + 1 + 57) in the form p*b**2 + z*b + j + n*b**3 + q*b**4 and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 56?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 42, 86, 146, 222?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s - 12 = 0. Factor -2\/9*g + 2\/9*g**2 - 2\/9*g**s + 2\/9*g**3 + 0.\nAnswer: -2*g*(g - 1)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose 2*p = -4*g + 50, -2*g = f*g - 3*p - 35. What are the prime factors of -2 + (g\/1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8036191*a + 20265 = -8035998*a for a.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8 and -131\/80988.\nAnswer: 161976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*g + 10. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 1. Let v(i) = 1. Let o(p) be the third derivative of p**3\/2 - 17*p**2. Let x(b) = 4*o(b) - 11*v(b). Determine -d(q) - 2*x(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**4 + 8*h**4 - 5*h**4 - 2*h**2 wrt h.\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496078 = 7*d + 89420. Suppose d = 23*p + 8*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.154 + 0.044. Let u = -2.09 - m. Which is the third biggest value? (a) 3 (b) u (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038293 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -2. Let q = -4.11 + 0.11. Sort b, 2, q in increasing order.\nAnswer: b, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -13. Let q be 15\/6*12\/15. Solve 4*z = -2*b - q, -2*b - m*z = 1 - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.358 + -7.358. Put -9, n, 0.2 in descending order.\nAnswer: 0.2, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from tttbtttbbtbbtt.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 91*a - 1340. Give g(12).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-2\/15)\/h))**20 assuming h is positive.\nAnswer: h**(188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16226, 32461, 48698, 64937, 81178, 97421?\nAnswer: 113666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32187081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 42 - (-155 - -120)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*p - 5*u - 33, -2*p = -3*u - 17. Suppose 14*v = 218 + 34. Calculate the remainder when v is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*y + 28*y - 144*y**2 + 191*y**2 - 102*y**2 + 22*y.\nAnswer: -55*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-36))\/((-2)\/(-12)). Let p be (2\/t)\/((-1)\/3). Suppose -h + 2*g + 1 = 0, 0 = -p*h - 5*g + 3. Put h, 0, 3 in ascending order.\nAnswer: 0, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2617 and 1987.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + 0 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/6 + 15*c**4 - 18230*c**3\/3 + 331975*c**2\/3 - 956087*c\/2 + 1120340\/3 = 0.\nAnswer: -248, 1, 5, 13, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2482 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*f - 30793, w - 5*f - 1472 = 4665. Does 82 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -84*v**3 + 2*v**2 - 20*v - 63. Is n(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 - -0.16. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35586474*f**3*s - 2*f**3*v + f**2*s*v + 91*f**2*s - 6*f*s*v + 6*f*s - 24*s*v + 4*v wrt f.\nAnswer: -213518844*s - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 264 + -267. Let b be (-1 - k)\/(0 + 2). Solve -2*u - 3 - b = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 + 4*v**3\/3 + v**2 + v + 4. What is the least common multiple of a(-8) and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1395.8 * 0.06.\nAnswer: -83.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-300))\/(36\/20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 6 = 13*n. Let m be 144\/126 - n\/7. Solve 0 = 5*t + s - 23, 0*s + 2*s = -t + m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 46*h**2 - 54*h - 215. Let q be t(-45). What is the highest common divisor of q and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1470*c + 1470*c + 36*c**2)*(-3*c - c**3 + 3*c)*(-25 + 174 + 119 - 16).\nAnswer: -9072*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -115.20263?\nAnswer: 115.60263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71662559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 427678.5 grams in nanograms?\nAnswer: 427678500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -183 + 179 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-2*-3 - -4*(sqrt(147) + 0)**2)*6 + (-1*(-1*sqrt(147) + sqrt(147) + 4)*-5)**2.\nAnswer: 252*sqrt(3) + 3928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*y - 4*a, a = 1152*y - 1145*y - 26 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose -x*q - 4 = -4*q. Let l be (0\/((-2)\/2))\/(-2). Is l at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:10 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -25 + 104 + -36\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19261 and 561.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -127.06. Let a be (-1)\/2*(-4)\/(-6). Let l be 3\/(-18)*-26 + -2 - 2. What is the closest to a in l, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57969064.\nAnswer: 2, 7246133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:21 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**5 - 189*p**3*q + 3305*p**3 - 214*p*q + 20605*q wrt p?\nAnswer: -40*p**3 - 1134*p*q + 19830*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 272*c + 1570. Let x(t) = 109*t + 627. Let f(a) = 5*l(a) - 12*x(a). Let s be f(-6). Calculate the greatest common factor of s and 1358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 220?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 127 = 43. Let j be (-33)\/o - (-4 - -1). Is 1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18477, -73900, -166263, -295560, -461785, -664932, -904995, -1181968?\nAnswer: -1495845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((0 - -4) + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-1)*280\/105. Find the common denominator of ((-36)\/33 - -1)\/(f\/(-208)) and -105\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247163 equal to 2247184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14342 - 14338. Solve 11*s = 7*s - q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244 + 245. Which is the nearest to -1? (a) -3\/2 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 963 = -0*y + 3*y + 2*c, 5*y - 3*c = 1624. Suppose 0 = 7*b - y - 2099. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 3722?\nAnswer: 3722.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 75 = -72*j. Sort 15, j, 6.\nAnswer: j, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60800471.\nAnswer: 4567, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 26*y - 26*y - 67*y**2 - 83*y**2.\nAnswer: -156*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 19. Suppose 2*f + w + 5 = -4, -4*f - s = 3*w. Let c = f + 0. Sort 4, -4, c.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 29*n = 59*n - 15001769. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13000)\/(-1005) - 13)\/((-1339)\/618).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016934762 rounded to 4 decimal places?\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d + 5*j, j = -2*j + 6. Let k be d\/7 + (-4530)\/70. Let q = k + 164. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47519643 to 3 dps.\nAnswer: 0.475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10\/11)\/q*q*q\/((q\/((q**(-26)*q)\/q))\/q*q) assuming q is positive.\nAnswer: q**(-296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (43 + -31)\/(4\/(-2)). Is 2800 - (-4)\/(8\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110431 or -110434?\nAnswer: -110434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbyytrt. What is prob of picking 1 y, 1 b, 1 t, and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37717171?\nAnswer: 23, 37, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3226600 to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxuwxjcuccwulj. Give prob of sequence xxwc.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by -2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*(-66)\/4455 + 362\/90. Put -3\/7, 1\/19, c in increasing order.\nAnswer: -3\/7, 1\/19, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.337 + 12.737. Let l = 2 - 0. What is the closest to -1 in -0.4, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10059, -10062, -10065?\n\"Answer: -3*l - 10056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/((-4)\/30). Let h(i) = -1 + n*i - 7*i - 3 - i**3. Let o(w) = -2*w**3 - 2*w - 5. Determine -3*h(l) + 2*o(l).\nAnswer: -l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 253, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 14. Let t be (-2)\/1 + w\/(-2). Suppose x = 4*x + 4*b - 33, t*b + 44 = 4*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Suppose t = 5*w - 8*w + 192. What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 8:15 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwphwwwfw. What is prob of sequence pf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-177)\/(-33) + 24\/(-66). Solve -p - 13 = 4*m, -l*p + 3*p = 5*m + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyykaaaayayyakya. Give prob of sequence ay.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -556692*k**3 + 2*k**2 + 1674648*k wrt k?\nAnswer: -3340152*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 0 + (8 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -680*p - 7 + 6 + 1. Let n be m(1). Round n to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20213278 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 24 = 9*o. Calculate the remainder when o is divided by 6\/4*20\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144432 (base 8) in base 15?\nAnswer: 103c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*q = 290*q - 55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 2 + (14 - -23) + -10 + -10 + -49.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271\/11 or -2\/9?\nAnswer: -271\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12330*l - 3*t = 12325*l + 10, -t = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7098324l to millilitres.\nAnswer: 709.8324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*q**3*s**3 - 2*q**3 - 236*q*s**3 + q*s**2 wrt q.\nAnswer: -792*q*s**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/18)\/(11\/(-33)))\/((-26)\/(-39))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 100. Let k = -1771 + 1776. Is (1972\/16)\/(k\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -0*a + 3*a. Let d be a*-1 + (-1 - -3). Let o = d - -15. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 37*s - 73. Let i be d(2). Solve 3*o - i = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n - 12. Suppose 70 = -5*g - 5*u, -4*u = 3*g - n + 58. What is the units digit of 134\/6 - g\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*y = 33136 + 1752 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5244*j - 20676. Determine x(-4).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-10447)\/2604 - 88\/462.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8232.95138 rounded to the nearest 10?\nAnswer: -8230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -1598, -3588, -6372, -9950, -14322?\nAnswer: -19488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-16) + 21\/8 - -1. Sort p, -5, -8 in increasing order.\nAnswer: -8, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = 12. Let m be (9 - 7)\/((-4)\/u). Suppose -t = -m*o + 127, o + 9 - 48 = t. Calculate the greatest common factor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s + 14*s - 4*s)*(4 - 5 + 0 + (-2 + 1 - 1)*(-3 + 5 - 3) + 0 - 3 + 1) as j*s + a and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1 + 4*y**3 + 2*y**2 + 3*y - 2*y**2 - y**3. Does 29 divide i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(128))\/(sqrt(4)*2*5) + -5)*6.\nAnswer: -30 + 12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4880 and 5072760?\nAnswer: 10145520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, 1 b, and 1 z when four letters picked without replacement from {y: 5, z: 10, b: 1, j: 1, q: 2, x: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 110295\/7? (a) -3 (b) 0 (c) -1\/4 (d) -2\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/(13*49\/728).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3*y**2 - 8*y - 6. Let v be o(-5). Let q = v - 48. Suppose q = 3*g + g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + i - 51 = p, 0 = -4*i. Suppose -4*z + z + p = 0. Let h be (12\/(-21))\/((5\/35)\/(-1)). Solve -2*f + 4*w - 16 = 0, -3*w + z = -0*f - h*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/25 and -3\/856835.\nAnswer: 4284175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 10*a + 486*a**2 - 486*a**2 - 1 as l*a**3 + x*a + v + u*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2. Let b(y) = -y**3 - 22*y**2 + 20*y - 4. Let r be b(-23). Let u(n) = 37*n**2 + r*n**2 + 12*n**2. Determine u(t(l)).\nAnswer: 114*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-12)*468\/78?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqjqqqqqqqqqqq. What is prob of picking 4 q?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22091 + 62640. Find the third derivative of 40531*n**5 - q*n**5 - n**4 - 91*n**2 + 6*n**4 wrt n.\nAnswer: -1080*n**2 + 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*j = 8, 4*a + 4*j - 1081 = -1077 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -458.2.\nAnswer: 1374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -14 + 16 - 14 - -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45087, -45099, -45125, -45171, -45243, -45347, -45489, -45675?\n\"Answer: -j**3 - j**2 - 2*j - 45083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let k(n) = -n**3 + 0*n**2 + 3 - 6*n**2 + 3*n**i. What are the prime factors of k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-60) - 3\/((-120)\/(-98)). Let f = 269\/20 + l. Find the common denominator of f and 4\/(-6) - 317\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.85489 grams in tonnes?\nAnswer: 0.00000985489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d - 69064 - 35840 + 44*d.\nAnswer: -d - 104904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 7*w**2 - 6*w - 12. Suppose 0*u - 48 = -6*u. Let m be q(u). Let r(f) = -f**2 + 5*f - 3. Give r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33042 is divided by 30405?\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 1. Suppose 22 - 15 = n. Let j(f) = 9 + n*f - 5 - 2. Give 5*a(k) - 2*j(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37ab - -718?\nAnswer: 41c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3491 - 3511 = -5*o. Solve -3 = 4*h + x + 5, 5*x = o*h - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2275)\/(-104) - 1\/(-8). Suppose 3220 = w*h - 8396. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 33. Let z = i - 13. Let r = 0.2 - 5.2. Which is the second biggest value? (a) r (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 105 - 68 + 8*s**2 + 12*s - s**3 - 51 + 7*s**2. What are the prime factors of q(-7)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 469*x**3 - 255*x**5 - 42*x + 41*x - 469*x**3 wrt x.\nAnswer: -5100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h + 2. Let c be q(-5). Let j be c\/24 - (-1)\/3. Let o(v) = j*v**2 + 6*v + v + 6*v**2 + 1 - v**3. What is o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9555 - 7*w - 9555.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7731 + 5751 = -30*y for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(300))\/(sqrt(12)\/(sqrt(2) - -1*sqrt(2))).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleeelkeekle. Give prob of sequence lk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttyynnqtnyin. Give prob of sequence tniq.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9093794747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 317*q**3 - 6*q**2 + 25*q - 56. What is the units digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*r + 1 - 1.\nAnswer: 474*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215\/6 + -36. Let r = -13\/6 + 29\/14. Sort -4\/3, r, 0.2, m in decreasing order.\nAnswer: 0.2, r, m, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465337*w - 234*w**2 + 465337*w.\nAnswer: -234*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410 divided by 2?\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/162 + 56\/27. Solve 0 = -5*o - 2*x - 8, 7*x - 3*x + 16 = p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420223492 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 r(j) = 56*j**2 + 2*j - 59. Suppose 17*t - 125 - 62 = 0. Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3828 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.16, -1, -0.173?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-46)\/(-115) - 47866\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3 - 759*k**2 + 20238*k - 37464 = 0.\nAnswer: 2, 28, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-3) + (-8 - 123\/(-9) - 3). Let d(f) = -5*f. Suppose -m = h, -h = 2*m - 0*m + 2. Let p be d(m). Solve c = 5*z - r, 0 = 3*z + 2*r - r - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-529)\/(-253))\/((-610)\/1342).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3047 - 3043 + 6187*c**2 + 6092 to i*c**2 + u*c + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 799 + 261*f**2 + 7874*f**2 + 1640*f**2 - 800 to the form q*f + h*f**2 + b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1624599, -3249244, -4873889, -6498534?\n\"Answer: -1624645*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 - 8) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r - 14 = -2*l, l + 23 = -5*r. Let w(i) = i**2 - 9*i + 16. Let d be w(9). Suppose d = 5*b - b. Solve b = -2*v + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6841 - -0.1?\nAnswer: -6840.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.1 and 964381.37.\nAnswer: 964356.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14808*d - 43 + 3*d**2 + 29646*d - 14826*d. What is k(6)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*s + 3*s, -4*n - s + 10 = 0. Let t(c) = c**2 - c - 1. Let r be t(n). Let g = 18 - 10. What is the greatest common factor of r and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/35 and 7\/(-63) - (-20)\/(-4).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 238517*o*r**3 - 11849*o + 28 wrt r.\nAnswer: 715551*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 - (42\/56 - 22\/8). Determine b, given that -8*b - 9 - b**2 + u*b - 15*b = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 p when three letters picked without replacement from {t: 1, v: 1, p: 1, r: 2, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 5\/(-2))*2. What is the units digit of ((-3)\/2)\/(t\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -7 (b) -0.5 (c) -2\/12201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 46*k = 5624. Solve 4*u + 168 = k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112))*4.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.372948303 to 2 dps.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 84\/55831 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.48 in 5, -32, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161024140 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/6 + 33215*g\/3 + 1103236225\/6 = 0?\nAnswer: -33215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 650?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (187\/(-33) - -6) + (744\/9 - 6). Let v(x) = x**3 + 7*x**2 + 3*x + 4. Let g be v(-6). What is the greatest common factor of g and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 14. Let n(r) = 7*r**3 - 4*r**2 - 2*r - 2. What is the remainder when n(m) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33830*0.616\nAnswer: 20839.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 0\/((-3)\/(-1)). Let i be (3 + 1 - 3) + y. Let w be i - (2*-18 + 2). What is the greatest common divisor of 90 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*d - 26. Let n(h) = 5*h + 8*h**3 - 3 - 2*h + 13*h**d - 19*h**3. Let o(u) = 2*u**3 + 2*u - 2. Give -2*n(q) + 3*o(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3657 + 4161. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98072, 196145, 294216, 392285, 490352, 588417?\nAnswer: 686480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y. Suppose 2*g + 0*g = 0. Suppose g = -0*w + 5*w - 5. What is the units digit of i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-72))\/((7\/66)\/(-7)). Suppose 5*j = 0, -27*q + p*q + 48035 = 2*j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5542 - 1.4458. Which is the closest to v? (a) 5 (b) 0.4 (c) -77 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w + 15 = 0. Let q = 8 - 9. Let f = -10 - -3. Which is the biggest value? (a) q (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*r = -12, -5*a - 7 = -4*r + 6. Let b be (-9 + 1)\/(a + -1). What is the units digit of (1 + b\/(-3))*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 26*s + 30*s + 8, 4*m - 2*s + 26 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/25)*x)**(-2\/33)*(x\/(((x**(-2)\/x)\/x)\/x*x*x))**8)**(-2\/45) assuming x is positive.\nAnswer: x**(-52708\/37125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 4\/3*a**3 + 0*a + 1\/24*a**4 + 3*a**2 + 0. What is the remainder when 22 is divided by s(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 6929?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980128410.\nAnswer: 2, 5, 13, 29, 31, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -154*0.8\nAnswer: -123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -4?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**5\/5 - 22*t**3\/3 - 6*t**2 - 6*t + 63. What is the second derivative of n(d) wrt d?\nAnswer: -12*d**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (706\/(-4))\/((-10)\/60). Is i*((-11)\/3 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17182938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7314112, -5, -1 in decreasing order.\nAnswer: -1, -5, -7314112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/22, 3\/7, 0.4, -4 in descending order.\nAnswer: 3\/7, 0.4, 3\/22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 793396500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*m - 86344 + 15671. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4602285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -13*v + 3*f + 106, f - 12 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 338\/(-91) + (-2 - -6). Factor 4\/7 - 2\/7*w**2 + z*w.\nAnswer: -2*(w - 2)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6649 + 6974. Calculate the highest common divisor of t and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -864 + 1305. What is the least common multiple of g and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129587 + -130343.37. Let y = d - -753. Round y to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 71 = 5*k + 34, 60 = 15*h + 3*k. Solve -h*u = 7*a - 2*a - 12, -4*a - 2*u = -8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742106?\nAnswer: 2, 53, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -46.\nAnswer: -80\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 - 116*w + 364. Determine y(-44).\nAnswer: -2276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 22573, 0, -1\/4, 6, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*603.\nAnswer: -4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.52 + 0.48. Sort i, 2, 1, 0.2 in descending order.\nAnswer: i, 2, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16 + 7\/(7\/6) - 294\/(-24). Factor 1 - d*v**2 - 4*v.\nAnswer: -(v + 2)*(9*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(80) + -3.\nAnswer: -3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 4*n, -37 = -3*n - 4*t - 58 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 1:10 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200 (base 5) in base 9?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022 (base 3) to base 6.\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520140355.\nAnswer: 3, 5, 56003119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39680, 79364, 119048?\nAnswer: 158732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t + 7*t + 3*t**3 + 8*t - 2033 - 7*t in the form k + h*t + o*t**3 + g*t**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-79632)\/(-49) + -14 + 16\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 15*k - 22. Let i be f(13). Suppose -i*g + 221 = 53. Is g a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 4, y: 3}. Give prob of sequence ysdd.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5843, -12157, -18469, -24785, -31111, -37453?\nAnswer: -43817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -58. Suppose m + 5*i + y = 0, 5*m + i - 32 = -i. List the prime factors of (-621)\/(-6) + 4\/m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6981902*l**2. Let q(m) = 13*m. Calculate q(v(r)).\nAnswer: -90764726*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 5 - ((-4 - 0) + -54).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140512, 140486, 140464, 140452, 140456, 140482?\nAnswer: 140536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 49. Let q(a) = 5*a**2 + 7*a. What is the tens digit of q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = 48. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211.05 + -198. Let f = 13 - g. Let m = -0.15 - f. Do m and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7839.472 grams?\nAnswer: 0.007839472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**3 + 0 + 1\/24*u**4 + 0*u - 3*u**2 + 1\/24*u**6 + 0*u**5. Find the second derivative of z(c) wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 - 2*v - 5. Let r = 7 - 4. Suppose n = -r*n + 16. Suppose 3*p + n = 2*p. Give m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z - 2*k - 4, 2*z - 8947*k - 2 = -8946*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + 5*v**2 - v + 2. Let m be q(3). Let t(i) = 2*i + 151 - m - 3*i. Let d(o) = -o**2 - 13*o - 6. Let k(p) = d(p) - 6*t(p). Determine k(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w + 2. Let r be a(-1). Suppose -2*q + 4 + 11 = j, 0 = -3*q + 2*j + 5. Suppose -99 = -q*d + 4*d. What is the greatest common divisor of d and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -205*g**3 - 10*g**2 - 7*g - 4. Let v(i) = -204*i**3 - 12*i**2 - 8*i - 4. Determine 6*t(p) - 5*v(p).\nAnswer: -210*p**3 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b**2 - 6*b**2 - b - 2*b**2)*(1228*b - 13 + 13 + 361*b).\nAnswer: 27013*b**3 - 1589*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 5*y**2\/2 + 6*y - 16681. Let o = -5 - -3. Calculate s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/2038 + 150587\/91710. What is the common denominator of -62\/81 and w?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 3. Let d be n(-2). Suppose b - 2 = d. Factor -7*c - b*c**2 + 9*c - 1 + 2*c**2.\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39353683?\nAnswer: 1831, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 + 12\/((-1440)\/245) + (-6)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6065697 by -11.\nAnswer: -551427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7606954?\nAnswer: 2, 19, 200183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40\/3233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*b**2 + 2299*b**3 + 132*b**2 - 248*b**2 - 4.\nAnswer: 2299*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -0.3, 3, -4, 4, -74?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645966426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sswsssysjsjwwysssys. Give prob of sequence yyjj.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (82 + 1)\/((-4)\/12). Let h = u + 519. Suppose h + 4 = 3*k - i, -3*i = k - 108. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9714 in -0.1, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1277 = -4*z + 3*z. List the prime factors of (-2)\/17 + 1 + z\/17.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 - 4 + 4)*(3 + 766*n + 2 + 234*n - 72*n).\nAnswer: -1856*n**5 - 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 6*d - 50, 5*d - 4*g - 53 = 8. Solve 64 = -d*p + 41*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99377 is divided by 2159?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (27 - 14) - (57 + -5 + 6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001175178 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j + 2. Determine x(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 12. Let l(d) = d**3 + 3*d**2 - 7*d - 9. Let g be l(-4). Factor 6*x**j - x**2 - g*x**2 + 42*x**4 - 16*x**4 - 16*x**4.\nAnswer: 2*x**2*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 23751?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 + 3 - 27).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*(-8)\/(-12) - 3 - 0. Let i be (-3324)\/14*(-4)\/(-3). Let f = 316 + i. Put 1\/3, f, b in descending order.\nAnswer: b, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6836 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16321900 by 98.\nAnswer: 166550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/439780 and 11\/2095.\nAnswer: 184267820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141632765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31412 + 199763. Let i = 378351 - q. Round i to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171550817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -b, 4*f + 264 = 3*b. Let d = -66 - f. Let s(q) = -2*q - 2. Calculate the remainder when s(-3) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/13, 859, 0.5, -9?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 + (-86)\/(-18). Solve y*g = 4*v - 2*v - 15, -12 = 4*g + 5*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1331) + 2 + sqrt(1331))*-5 + sqrt(1331) + (-5*-3*sqrt(1331) - sqrt(1331)) + 5)**2*2.\nAnswer: -66600 + 1100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((-1*sqrt(12))\/sqrt(6)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/665)\/(2\/2*((-36)\/(-18))\/(-742)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -173*w**2 - w - 17. Let x(g) = -43*g**2 - g - 4. What is -2*o(n) + 9*x(n)?\nAnswer: -41*n**2 - 7*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/135*(-27)\/2*(-72)\/270?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*h**2 - 65*h**3 + 19*h**2)*(-4*h - 2*h + h) + (-3 + 3 - h)*(-8*h**3 - 9*h**3 + 7*h**3) as i + j*h**3 + t*h + x*h**4 + v*h**2 and give x.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 + (-286)\/(-4). Suppose -k = 3*i - n, -2*k = 3 - 1. Suppose 0*r - i = -2*r. What is the least common multiple of 1 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -398\/7 + 57. Which is the nearest to h? (a) 5\/2 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**6\/27 - 2*l**5\/45 - 2*l**4\/3 + 32*l**3\/27 + 32*l**2\/9 - 32*l\/3 + 24. Solve a(h) = 0 for h.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 + 183*r**2.\nAnswer: 183*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 8*y - 14 = 0. Solve y = 2*h - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14388 and 33.\nAnswer: 14388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -7\/24*b**4 + 4\/3*b**3 + 0*b + 1\/60*b**5 + 2*b**2 + 0. Let c = 5566 - 5560. Give v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 3*q**2 - 3*q - 2. Let p be t(-4). Let k = -27 + 19. Let l be p\/4*k - -2. Solve -f = -2, -j + 5*j = f - l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/120 + b**5\/10 + b**4\/4 + 7*b**3\/6 - b**2. Let t(c) = -2*c**2 - 15*c. Let z be t(-7). What is x(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6486217.\nAnswer: 6486217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13413234 (base 5) to base 12.\nAnswer: 68235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12377099 to the nearest integer?\nAnswer: 3518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/(-6))\/16)\/((-1)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1625, -6444, -14475, -25718, -40173, -57840?\nAnswer: -78719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*r - 114*r + 23694. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7607, 15423, 23239, 31055, 38871, 46687?\n\"Answer: 7816*p - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0145, 1\/7, -3, -2\/7, -0.07 in decreasing order.\nAnswer: 1\/7, -0.0145, -0.07, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u - 2*y + 3*y, 5*u - 5*y = -25. Suppose 5*l - 13 - 12 = 0. Suppose u = l*v - 559 - 76. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120393.5 months to decades.\nAnswer: 9336.6125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/(26\/(-4862)*17).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002430194 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/40 + -3 + 42\/8. Suppose 6*p + 3 = 4*p + 3*l, -5*l = -a*p - 5. Solve -5*c - 34 + 19 = p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0626 + 1.06. What is q rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16238.7 + -16239. Which is the closest to -2? (a) -0.026 (b) -1\/4 (c) g (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223 and 9381164?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.08 - 30.769. Let j = 0.311 - r. Let p = -1184\/63 + 130\/7. Sort 0.03, -0.4, j, p in descending order.\nAnswer: j, 0.03, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1 - (-3 - -6)). Let n(w) = -w**3 - 6*w**2 - 5*w + 6. Let r be n(-5). Suppose 4*i - r = -3*z + 2*z, 2*i = b. Solve a = z*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c - 25. Let k be t(5). Solve -3*b = -6*b - k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 0. Let z be (2\/(-5))\/(1\/(-5)). Put -3, z, p in descending order.\nAnswer: z, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 450.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.96 - -5. Which is the second smallest value? (a) g (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omoaafoaofa. What is prob of picking 1 a and 1 f?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rralrraraxvaar. Give prob of sequence ax.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 3281224?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 106 and 104 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, p: 4, j: 1, t: 1}. Give prob of sequence ptaa.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212166 - 117465. Let x be (v\/(-2460))\/(-1) + 0. Let o = 3\/820 + x. Calculate the common denominator of o and 16\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12690 and 648.\nAnswer: 152280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1566)*3\/((-35)\/(1575\/15))\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 5*p + 7. Suppose 0 = -2*b + 6*b - 8. Suppose 3*x = 2*f + 11, -x = b*x - 3. Let o = f + -1. Give s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o + 40*o + o**4 - o**2 - 22*o + 2*o**3.\nAnswer: o*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2860)\/285 - 10\/(-1).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-343))\/((-18)\/1288). Let d = c - 50\/9. Factor -d*l**3 + 0*l**2 + 0 + 0*l.\nAnswer: -2*l**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 12*m + 4770. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*x - 33*x**2 + 25*x to the form n + h*x**2 + c*x and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 11*z**2 - 7*z + 9. Let i be d(-7). Is (i\/(-6))\/((-2)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113542, 227071, 340590, 454093, 567574, 681027?\nAnswer: 794446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9 + 215*c + 4*c + 13 - 38. Is a(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 10 = 27*a + 3*g, 15*a + 38 = -4*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + -1*(5 - 25157). What is g rounded to the nearest 100?\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 4. Let d be g(2). Suppose 5*b + d*b = -2*b. Let r = 3 + -3. Solve r = -3*q - b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2056 + 5*z**2 - 1966 + 4075.\nAnswer: 5*z**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 10549a838?\nAnswer: 10549a840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36794521?\nAnswer: 1459, 25219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (5 + 1*sqrt(72)) - sqrt(72))*4.\nAnswer: -24*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 180913?\nAnswer: 180909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50288625 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -0*m - 2*m, 0 = -5*m. Suppose 4 = n - h. Let i(u) = 9*u**3 - 2*u**2 + 1. Calculate the lowest common multiple of i(1) and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*x - 8 + 0 + 5 - 3*x + 0*x + x + (-2 + 1 - 1)*(0*x + x + x) - 2*x + 0 + 0.\nAnswer: -28*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3844*p - 611193. Determine h(159).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2553 + (-3 - -6) - 4. Suppose 3*r - 10260 = 4*o, -4*r + h = -o - 0*o. Is o\/(-10) - 2\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 130*m**2 - 131*m + 258. Let g be q(129). Solve 4*k = -10*f + 14*f, g = 4*k + f + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 7*d**2 + 2*d + 9. Suppose -5*o = 2*c + 37, -3*c + 0*c - 3 = 0. Let j be a(o). Let q = 13 + j. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8481252.\nAnswer: 2, 3, 13, 54367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.8 - 1.2. Let m = -3097 + 3099. Sort m, -0.3, n in decreasing order.\nAnswer: m, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - 17. Let l(s) = -s**3 - s**2 + s + 3. Let f be l(2). Let y be p(f). Which is the smallest value? (a) -0.3 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220 (base 3) in base 5?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5089 + -3263. List the prime factors of t.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -32. Let u(i) = -3*i + 6. Let n(m) = m - 1. Give t*n(k) - u(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2713, -2696, -2659, -2596, -2501, -2368?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6513 + -293132\/45. Calculate the common denominator of -48\/25 and t.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/38, -32, 1, -2\/5 in increasing order.\nAnswer: -32, -2\/5, 1\/38, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - (-209)\/9. Let u(y) = 2*y + 3*y**2 - 8*y + 5 + 2*y + y. Let m be u(3). Calculate the highest common divisor of m and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -541 - -541. Let o(l) be the first derivative of -14\/5*l**5 - 15 + 0*l**4 + 0*l**3 + 8*l + r*l**2. Differentiate o(j) wrt j.\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(66\/9))\/(35\/((-3360)\/(-72))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 36986*r - 1786*r**2 - 18612*r - 18545*r. Let s(x) = -21*x**2 - 2*x. What is -2*p(h) + 171*s(h)?\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 954 and -0.049.\nAnswer: -46.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.86524 + -36.17576. Let h = k + 0.041. Let x be 2\/4 + 87\/(-174). Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68241, -68188, -68135, -68076, -68005, -67916?\n\"Answer: f**3 - 6*f**2 + 64*f - 68300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*v - 7, -36*y + 34*y = 4*v - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -60 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 522047904 to the power of 1\/3, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/6 or 8.8?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/4158*-6)\/(6\/168)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 446013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 305*g - 925. Calculate j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 + 2*w**2 - 2*w**2)*(-w + 4*w - w) - 293*w**3 - 137*w**3 - 110*w**3 as z + s*w + n*w**3 + b*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/59 - 2573\/1062. Find the common denominator of a and (3 + 85\/(-8))\/1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 848246860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1351, 2632, 3915, 5200?\nAnswer: 6487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95 less than -686?\nAnswer: -685.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-9828)\/(-2464))\/117)\/(3\/(-4))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 10) in base 2?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 62*p + 0*p**4 - 5*p**3 + 61*p + p**2 + p**3 to y*p**3 + f + w*p**2 + z*p + r*p**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-370)\/42)\/(-5))\/(4\/(-12)). Let i = b - -171\/35. Let a be ((-5)\/8)\/((-3)\/(-4)). What is the nearest to 1 in 2\/11, i, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z - 3 + z**3 - 1 + 1567432*z**2 - 1567431*z**2 - 7*z**4 to the form d*z**3 + k*z**4 + n + y*z + w*z**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - 28\/6) + (-136)\/48.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5060475*w**5 - 130116105*w**4 + 658687731*w**3 + 788827989*w**2 - 5028330*w + 7992 = 0?\nAnswer: -1, 1\/315, 148\/17, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) + -1*sqrt(128))*2 - sqrt(128)) + 2 + sqrt(128) + 2 + sqrt(128) + (-3 + 4 + sqrt(128))*-5)**2.\nAnswer: 64*sqrt(2) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/(2079\/(-770)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1.9 (c) 4\/5 (d) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.0931291 to 2 dps.\nAnswer: 21.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -19.03.\nAnswer: -7.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6549.9 - 6551. Sort g, -204, -5\/6 in decreasing order.\nAnswer: -5\/6, g, -204","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3084*j**2 - 567284*j + 31648 = 0. Calculate j.\nAnswer: -184, 43\/771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**2 + 3*w**5 + 8*w**2)*(2 + 2 + 1).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2226070, 4452149, 6678228, 8904307?\nAnswer: 11130386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 233778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1666917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.041 and -0.743?\nAnswer: 0.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -1. Let t be (-2)\/(-5) - 1612\/(-20). What is the highest common factor of s and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114599 is divided by 4558.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 + v. Let p be a(1). Suppose p = d + 2. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/216)\/(1\/15). Let m be (0 - (-1)\/(-2))*0. Let x = -4 - m. Which is the closest to -1\/4? (a) l (b) x (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 14*d - 15. Let p = -18225 - -18219. Calculate r(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8.2 (b) 0.5 (c) 5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9*z - 944 = 0. Let q = -111 + z. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.067 + -0.433. Which is the nearest to 16? (a) 2\/9 (b) -2\/11 (c) r (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*i - 70 = 0, -2*l + 35 = -7*l + 4815*i - 4812*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*l - 68 = -50*h + 54*h, 2*h - 7*l - 2 + 0 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 201, 0.5, 0.4?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmmmmggmmmmmmmm. What is prob of sequence mgm?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -192024, -192008, -191994, -191982, -191972, -191964?\n\"Answer: -u**2 + 19*u - 192042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (34892\/(-305))\/(4\/(-30)) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 28 - 14)*(-3*r + 8*r - 16*r)*(-24 + 12 + 11 + (3 - 1 - 1)*(4 - 3 - 3)) + (-2 + 2 + 2*r)*(2 + 0 - 3).\nAnswer: -992*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5 + 3 - 4*l**2 - 2*l**4 + l**3 as n*l + o*l**2 + s + p*l**4 + k*l**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v - 20 = 0. Suppose -v = -4*i - 2*w, -i + 4*i + 5 = w. Suppose -y + 2*o + 5 = 0, -5*y + i*o = 4*o - 25. Solve 6 = 2*s - 0, m + y*s = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 12*x + 4. Let a be v(12). Let h be (-13)\/(78\/(-4))*(a - 1). Solve 2*m - h - 6 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 6. Let a = -14 - -20. Let w be b(a). Let y be (4\/6)\/(8\/w). Sort -5, -4, y in ascending order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 5*i - 34, q - 196109*i - 5 = -196117*i for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 5*p**3 + 3*p**3 - 1 - 3*p - p**3. Suppose 5*q - 5*c = -5, c + c = -2*q - 6. Does 14 divide t(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/75 - -421\/300. Let o = d + -91\/24. Calculate the common denominator of 107\/18 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290555 is divided by 430113?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2837.4l?\nAnswer: 2837400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10547 - 10122. Calculate the greatest common factor of 153 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2474 + -2469. Sort -167, d, -0.1 in increasing order.\nAnswer: -167, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.34922 and 2.047.\nAnswer: -0.71485334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0.05, -1\/4, 1824?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*y + 121. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 198616389100 to the nearest 1000000.\nAnswer: 198616000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -179. Solve -4*a - 12 = 3*t, -a - o*t - 8 = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from ggggwgwhghg.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (9 - ((0 - -17) + 3 + -4 + -4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d + 9592 = 53*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 867136434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*m**3\/2 + 53*m**2 - 101*m\/2 - 9.\nAnswer: (m - 1)*(m + 9)*(13*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*p = 9, h + 4*h - 3*p - 15 = 0. Let s = -1 + h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/42 - ((-8768)\/(-224) - -13)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u**2 - 15*u - 28. Let m be p(-17). Round m to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {u: 4, v: 2, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 44 - 18 - -5*(-310)\/(-25).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 z, and 1 h when four letters picked without replacement from {z: 9, q: 2, h: 8}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(11))**2*-6 - (5 + sqrt(11) + 1)).\nAnswer: -75 - 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 146237.4*-4\nAnswer: -584949.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10077104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121901 = 23*c + 121625 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3038292 divided by 222?\nAnswer: -13686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 522*j. Let s be y(5). What is the tens digit of 1\/(-6) + s\/108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*0.15\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -45, -57, -85, -135, -213, -325?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568998 is divided by 3799?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/3 + 216\/96)*45\/(-30).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-90))\/((2256\/(-108))\/(-94))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*v = 144. What is the common denominator of v and 11\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/42)\/((-3)\/21*-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(-31*m - 55 + 55).\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9047.994l in millilitres?\nAnswer: 9047994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112122 - 111101?\nAnswer: 1001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 20 = -5*s, d - 1 = 4*s - 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 788.555 and 93?\nAnswer: 695.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1309, 2607, 3939, 5323, 6777, 8319, 9967, 11739?\nAnswer: 13653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from {r: 2, f: 1, b: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -952*w - 4528. Let d be g(-5). Which is bigger: d or 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110111000001001 (base 2) to base 14.\nAnswer: -c9641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 0 - 25798*d**3 + 1 + 0 - 3.\nAnswer: -25798*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x - 2. Let k be w(1). Suppose -4*n + 3 = -k. Let c = -2 + 2. Solve -4*f + f - 1 = 5*y, c = -n*y + 5*f + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223274324 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2483*s + 2508*s + 800 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2876888432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1766 at least -1707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.1. Let o be 584\/24 - (-2)\/3. Let h = 30 - o. Which is the closest to -0.1? (a) u (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 3 (c) -1764\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 14. Let m be n(-7). Let i(x) = 2*x + 17. What is the units digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337957?\nAnswer: 337957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11508 < 11496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 6:02 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 2*p**4 + 0*p + (12*p - 12*p - 6*p**4)*(8 + 8 - 6).\nAnswer: -58*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-81)\/(-13770) + -561*(-5)\/50?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2. Let i(r) = 7*r**2 - 4*r - 13. Let s(p) = 6*p**2 - 3*p - 10. Let c(a) = 3*i(a) - 4*s(a). Give c(n(q)).\nAnswer: -192*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f*h**3*m - 3*f*m**2 - 431*h**2*m**2 + 2*h*m**2 - 39*h*m wrt h.\nAnswer: 18*f*h*m - 862*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -90, -230, -482, -882, -1466?\n\"Answer: -6*o**3 - 2*o**2 - 16*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 21*o**6\/25 + 142*o**5\/25 + 64*o**4\/5 + 48*o**3\/5 + 16*o**2\/5 + o + 54. Suppose y(k) = 0. Calculate k.\nAnswer: -2, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 175 = -5*r + 316, 467 = 4*n - 3*r. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020 (base 4) to base 13\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*-2)\/(sqrt(12)\/sqrt(4)*5))\/(-6*(-3*sqrt(20) - -5*-2*sqrt(5))).\nAnswer: -sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-6))\/n*n*n*n))**(-1\/38) assuming n is positive.\nAnswer: n**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.73. Let w = 14.97 + v. Let j = w + -11. Which is the second smallest value? (a) 3 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*26\/455)\/((-27)\/15*1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most 114495\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87a7 + -9?\nAnswer: -87b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19108455 by 25.\nAnswer: 3821691\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -3. Suppose k = 1 - 3. Sort k, 4\/3, w in ascending order.\nAnswer: k, 4\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464 - 1464 + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1734.2 + -1734. Let o = -3.87 - 0.13. Which is the closest to v? (a) 0 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 19 + x + 24 + 26 - 51 as d + b*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 1 - 5 = -2*h, 5*j - 4*h - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.24366 to two dps.\nAnswer: 109.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236127, 237404, 240867, 247608, 258719, 275292?\nAnswer: 298419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 40*g**3 + 13*g**2 - 19*g + 5. Let u(w) = w**3 + w**2 + w + 22. Calculate the remainder when l(1) is divided by u(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/252 - 493\/2772. Let g = -61 + 60. Which is the closest to u? (a) -5 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-11 + 2)*534. Suppose p = 3*z - 44, 0*p - z + 50 = -p. Let g = a + p. Round g to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:57 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = 3*t. Let j be (1 + t - -1)*1. Let x(o) = o**2 - 7*o + 8. Let g be x(6). What is the biggest value in -4, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 9*p**2 - p + 35. Give k(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 11*a + 4. Suppose -5*d - 29 = -4*z, -4*d - 35 = -5*z + d. Suppose z*n + 28 = 2*n. Is g(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = 4*q, -8*z + q = -3*z + 40. Let h(y) = -y**3 - 8*y**2 - 4. Let g be h(z). Is g != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48426*t**2\/13 - 12978170*t\/13 + 536\/13.\nAnswer: 2*(t - 268)*(24213*t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -144 and -51220?\nAnswer: 7375680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*d + 16. Let w be 1\/(3 - 15\/d). Find the first derivative of -w + 1 + 3 + 2*n - 6 wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358 = 19*b - 213*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -755849, -3024150, -6804651, -12097352, -18902253?\n\"Answer: -756100*x**2 - x + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 1501.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*2\/(-5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23950 - 22776. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -15 = 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 12\/(-18)*(-207)\/6. Suppose 12 = -3*h + 3*d, -2*h - d - g = d. Which is smaller: h or -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*k + 4 - 9, 0 = 2*k - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 12 = 5*k. Let r(w) be the third derivative of 1\/100*w**5 - 1\/30*w**3 + 0*w + 1\/300*w**k + 0 + 2*w**2 + 0*w**4. Factor r(x).\nAnswer: (x + 1)**2*(2*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 16 + 42 - 66 = u for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -0.00645\nAnswer: -0.29355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-2*i - i + 2*i) - 5*i + 4*i - 7 + 0*i to the form w*i + h and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1766037 and -85\/4036656?\nAnswer: 28256592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 3*q**3 - q + 5. Let o(b) = -b**2. What is f(o(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-8 - -14 - 2) - (-1 + 15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g - 29*g + 61*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o. Let y be (77\/(-14))\/((-2)\/4). Let i be h(y). Suppose -2*a + 19 = -i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 + 5*p - 6. Let q be a(2). Let m be 0 - (-6)\/(q\/(-14)). List the prime factors of 65\/4*(m + 1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 5) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Let d(p) be the second derivative of p**5\/20 - p**4\/4 - 2*p**3\/3 + 3*p**2\/2 - 4*p. What is the units digit of d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3712*q - 704*q**4 + 1852*q - 89 + 1857*q wrt q.\nAnswer: -8448*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 5:35 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = -3*m + 173, 114*m - 107*m - 89 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:47 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27*-1)\/((-20)\/((-240)\/(-36))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1134) - (-3*sqrt(896) + sqrt(14)))\/(-5*(-3*sqrt(18)*-3)\/sqrt(9)))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 - 318\/32?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 5*s + 2*s)*(-2*s - 2*s + 6*s) + (-2*s**2 - 2*s**2 - 4*s**2)*(-19 + 45 + 10).\nAnswer: -286*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 - 2*k + 2. Let d be o(1). Let g be (-32)\/120*d\/(-4). Which is the second smallest value? (a) g (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2543553, 2543615, 2543677?\nAnswer: 2543739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12188 + -12188. Which is the second smallest value? (a) -0.4 (b) -15 (c) t (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2250 and 525.\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 6:32 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 181488.\nAnswer: 181488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {f: 1, n: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*p - z - 4*z, -5*p - 5*z + 95 = 0. Let h be 8\/p - 49\/35 - -3. Suppose 2*x = -4*g + 7*x, -5*g = -2*x. Solve g = 2*f + h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:12 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62184, 124370, 186556?\nAnswer: 248742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - ((-3595)\/(-50) - -14). Which is smaller: n or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 45. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -367024*v**6 - v**2 - 51740*v wrt v.\nAnswer: -44042880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*t - 10*t - 4*t + (-t + 2*t + 0*t)*(1 - 4 + 5) + 4*t + 2*t - 5*t - 10*t - t + 3*t to p*t + j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460*10 - 102\/17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171 divided by -57\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 384043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2665 divided by 6?\nAnswer: -2665\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/5)\/(-1) + (-117)\/(-5). Let a = 139\/6 - p. Factor -1\/6*i**3 + 1\/6*i - a*i**2 + 1\/6*i**4 + 0.\nAnswer: i*(i - 1)**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -374 - -392. Calculate the smallest common multiple of 52 and m.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -24 - 29) + (1 - -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + 15113?\nAnswer: 150fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(16\/(-52))*1. Suppose -3 = 4*m + k. Put -3, -2, m in decreasing order.\nAnswer: -2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a**3*i*t + 18*a**3*i*y - 8*a**3*t + a**3*y - 7*a*t*y - 9*i*y wrt t.\nAnswer: -4*a**3*i - 8*a**3 - 7*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -163.675, -65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 42*k - 92. Suppose 5*b = 2*g + 22, 3 = -b + g + 11. What is y(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2)*(-7)\/(-3)*1. Suppose 3*z - 486 = -3*o, 680 = a*o - 3*o - 4*z. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32195*t**2 + 13*t**3 + 8066*t**6 - 32355*t**2 - 13*t**3 - 17*t wrt t.\nAnswer: 967920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216.48 + 118234573\nAnswer: 118234789.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 494, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(501\/(-9) - 6).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3945 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-8)*(-60 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*r**5 + 12266*r**4 + 14268*r**3 - 10396*r**2 - 14202*r - 1870 = 0.\nAnswer: -1, -5\/33, 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.0249 decades to millennia.\nAnswer: 2.120249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**7\/21 + m**6\/15 + m**5\/5 - m**4\/3 - m**3\/3 + m**2 - 5*m. Find i such that d(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11480 + 5*b + 11480.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 2124 + 2064 = 0. Which is the third smallest value? (a) -0.39 (b) 0.4 (c) 2\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906091189?\nAnswer: 193, 4694773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus 26760835770?\nAnswer: 26760835750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38689431?\nAnswer: 3, 11, 1172407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 5) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*11 + 6\/3. Let f = 44 - i. Let m(n) = n**3 + 6*n**2 + 2*n - 1. What is the lowest common multiple of f and m(-5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.36 * 22307\nAnswer: -275714.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32107 + -2634. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s = 4*s - 39. Let h = 0.04 - -1.96. Which is the closest to s? (a) h (b) -4 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9 - 1\/2*s**4 - 3\/2*s**3 + 7\/2*s**2 + 27\/2*s = 0. Calculate s.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11604*d. Let u(z) = 217*z + 2. Determine v(u(f)).\nAnswer: 2518068*f + 23208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -525?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - (-235)\/25 - (-102)\/(-30). Which is the second biggest value? (a) y (b) -0.2 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-150)*(27 - (-21784)\/(-112)).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 7*u - 6. Suppose 0 = 3*h + 5*g - 29, -3 + 2 = -3*h + u*g. Suppose 6*z - h*m = z + 239, -86 = -2*z - 2*m. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21003, 84062, 189193, 336414, 525743, 757198?\n\"Answer: 3*o**3 + 21018*o**2 - 16*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 16896995*u**2 - 14275413553000*u + 14275430450000.\nAnswer: -5*(u - 1)*(u + 1689700)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557*a**3*h**3 + 3*a**3*h**2 - a*h**3 - 422*a*h**2 wrt a.\nAnswer: -3342*a*h**3 + 18*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 60789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/((-21)\/(-6) - 5). Let z(o) = 38440*o**2 + 59*o - 24. Let b be z(k). Round b to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 118 - 1531. Suppose 555000 = 156*o - x*o. Round o to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*g - 3561 = -13084*g + 96191 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3302254 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-9 - -4 - (0 + -17))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 34426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -813099 (base 11) to base 5.\nAnswer: -313312100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 6435.97.\nAnswer: 643.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 1, r: 2, i: 1, o: 1}. Give prob of picking 1 a and 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 81*v - 45*v + 117 - 12*v.\nAnswer: -143*v + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.122 - 3.1. Let i = -0.022078 + w. Round i to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37177 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27049.27 + -26923. Let p = l + -126. Let x = p + -0.804. Round x to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 292540 and 35300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, y: 5}. Give prob of picking 1 g and 2 y.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a factor of 71387370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 4. Let k(g) = -2*g - 3. Let i(d) = -5*k(d) + 4*x(d). Let p be i(1). Put 1, 0, p in ascending order.\nAnswer: 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 140 = 4*h, -144 = 4*h - 9*h - 4*o. Let l(b) = b - 4. Let m be l(5). What is the remainder when h is divided by 12 - (2 - 2) - m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107502997\/87 + 1235681. Let a = 1\/29 - d. Calculate the common denominator of a and 28\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9880 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2662266 times -69?\nAnswer: 183696354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42065944571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*u**4 - 4*u*w**3 + 172*w**3 wrt u.\nAnswer: 88*u**3 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + u**2 + 290*u + 287. Calculate o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 2. Let b be r(1). Let k(p) = -3*p - p + 9*p + b*p - p**2 + 15. Let i be k(11). Solve -3*l = l - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7246580?\nAnswer: 2, 5, 11, 32939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v - 32. Let x = -4 + v. What is the units digit of (-16)\/(-2) - (x - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2247*a**2*p**2 + 2832*p**2 wrt a?\nAnswer: 4494*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811562717?\nAnswer: 7, 857, 135283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m*m*m\/m**(1\/6))*m**(-1\/5)\/m)**23)**(-45) assuming m is positive.\nAnswer: m**(10419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 616181329*z**2\/6 + 24823*z\/3 + 1\/6.\nAnswer: (24823*z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -444?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 132 + 3*n - 143)*(-n**2 - 3*n**2 + 6*n**2).\nAnswer: 2*n**3 - 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9478 and -0.3.\nAnswer: 2843.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -26*p**2 + 3. Let l(x) be the first derivative of -2*x**3\/3 - 1469. Give l(g(d)).\nAnswer: -1352*d**4 + 312*d**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9361 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let w(s) be the first derivative of 11 + 0*s**2 + 0*s + 1\/3*s**3. Calculate i(w(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1017\/21)\/(20\/140). Round h to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + 53 + 29 + -94.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 52. Let r be -7 - (1140\/70)\/2. Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783.5771 rounded to the nearest 10?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1512 and 1464?\nAnswer: 92232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**6\/3 - 9*b**5\/5 + 57*b**2\/2 + 57. What is the second derivative of w(f) wrt f?\nAnswer: 40*f**3 - 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 343 + -283. Suppose m*i = 1069 - 109. Solve 5*d - i = -11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/24*(-120)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353656 (base 7) in base 2?\nAnswer: -101100010010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Let a(y) be the third derivative of 23*y**5\/15 + 7*y**2. Calculate a(v(g)).\nAnswer: 828*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 58 - 8 = 0. Suppose -b - 5 = -2*r, b - r + n = 5*b. Suppose -d + b*w - 6 + 34 = 0, 14 = -2*d - 4*w. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104, -4313, -9668, -17175, -26840, -38669?\nAnswer: -52668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -818*r**3 + r**2 - 1. Does 4 divide g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*n - 2*v - 4, -10 = 2*n - 3*v. Let w(s) = 127*s**2 + 2*s - 2. What is the hundreds digit of w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/22257 and -9\/239881?\nAnswer: 2158929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 - -4. Let k = -147\/20 - -33\/5. Let w be (-20)\/22 - (15 + -2 - (-10082)\/(-781)). What is the closest to w in k, h, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337515 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**2 + 13*n - 8280 - 19*n + 8*n - 672*n**4 + 1850 wrt n.\nAnswer: -8064*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 53603433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Solve 3*a - 12 = 0, -g + h*g = a - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)\/(3*sqrt(275)))\/(-4*sqrt(200)\/sqrt(16)).\nAnswer: -sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 1062692.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9*o = -2*o. Let d(r) = -r**3 - 12*r**2 - 9*r + 7. Let f be d(-11). Let t = 16 + f. Sort -3, t, o in decreasing order.\nAnswer: t, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.319 + 0.558. Let j = d + -0.24066. Round j to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17081514 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dooahoddoooaodddddha. What is prob of picking 1 o and 1 d?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.7 (c) 0.04 (d) 4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 + 3 - l**4 - 5*l**4)*((-3*l + 17 - 17)*(2 - 1 - 2) + 6 - 6 - 10*l).\nAnswer: 14*l**5 - 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10524*l = -17*c - 10528*l + 81, 3*c + 13 = l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (20 - 19) - 1 - -11 - -91?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + -119. Let n = o - 48. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7656 - 270.8356. Round g to zero decimal places.\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*f - 14, -5*f - 31 = -5*b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in 0.2, 5, 7949?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19004 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*86\/((-24424)\/(-17253)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b**2 + 5*b**2 + 5*b**2 + 7 - 2 wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/((1*sqrt(110))\/sqrt(11)) + 3*(2 + sqrt(1088) - sqrt(1088) - sqrt(1088)))**2*4.\nAnswer: -1104*sqrt(17) + 36116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18aea + -a3?\nAnswer: 18a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -14. Calculate the smallest common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = b - 68, -73 = -b - 0*w + w. Suppose -a - 5*a - b = 0. What are the prime factors of 315\/4 - (-9)\/a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(19)*1*6*-4 - (sqrt(57)\/(sqrt(15)\/sqrt(5)) + -3 + sqrt(1539)))**2 + 4.\nAnswer: -348*sqrt(19) + 63925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*d = -204*d + 7085920000. What is d rounded to the nearest 1000000?\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1848)\/1890) - (-12)\/(-22).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1217.3122 to the nearest ten.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6680099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 242530 - 345692. Let k = r + 148079. Let l = k + -91917. Round l to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/5)\/(-5*(-6)\/(-120))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84277.4 + -84277. Let g = 0.1 - 0.3. What is the third biggest value in 0.3, m, 3\/4, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2741\/11 + 249. Let k = 11 + -8. Let z = k + -2. What is the nearest to z in b, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1013 + 5?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 0*w**2 + 5 + 0*w - 15\/4*w**4 - 10\/3*w**3 - w**5. Solve n(i) = 0 for i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/((-12)\/(-14194)) - 6\/(-5)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2*n**2 - 2*n - 4. Let h be v(-1). Let y be 1 + h + 14\/(-6). Let j = -7 + 5. What is the biggest value in j, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1783552 + -2.19\nAnswer: 1783549.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 1. Let t(y) = 6*y - 25. Calculate t(v) + 2*z(v).\nAnswer: 8*v - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128799?\nAnswer: 3, 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c - c)*(7*c**2 + 16 - 14 - c**2) - 32*c**3 + 195 - 195.\nAnswer: -44*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 82*c**3 - 1693*c**2\/2 - 84. What is the second derivative of q(t) wrt t?\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.086369209 and 0.2.\nAnswer: 0.113630791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5309266 to the power of 1\/2, to the nearest integer?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17487581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022260\/3079720 - 2\/12*9\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:11 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -1946?\nAnswer: -1943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -28. Let t = 18 + v. What is the nearest to t in 2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/8*(-46)\/(-1127)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(18\/5)\/m*(m\/m**(2\/15))\/m*m**11\/(m*m**17\/m))**(-2\/93) assuming m is positive.\nAnswer: m**(106\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313303 + 20132?\nAnswer: -1233111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6094 + 4?\nAnswer: -6090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(-3\/5))*w*w**(-1\/23) assuming w is positive.\nAnswer: w**(179\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 + -102. Let x = -31 - -80. What is the remainder when x is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5325 and 659590.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 - a**4\/4 - a**3\/2 + 5*a**2. Suppose 5*z = -2*h + 177, -3*z = -z + h - 71. Let i = z + -30. What is u(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 9*g + 7. Let u be i(-1). Solve 2*r - u*z + 2 = -r, -4*r - 4 = -4*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -28. What is the lowest common multiple of 4 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5663 + 305*p + 5663 + p**2 as b*p + g*p**2 + r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - s - 34 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-738 - -726)*1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.008107 - 13.\nAnswer: -11.991893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 4441*a**5\/20 - 1243*a**4\/6 + 1899*a. Find the third derivative of w(g) wrt g.\nAnswer: 26646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 - -66. Let f = r + 104. Suppose -25*k + f*k + 24 = 0. Calculate the highest common divisor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 5\/3*p**3 + 24*p - 19\/2*p**2 + 10. Let d(a) be the first derivative of i(a). Differentiate d(b) with respect to b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 + (-21 - 52) + 27\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3773777 to 3 dps.\nAnswer: 4.377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15945?\nAnswer: 3, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*p - 4*t, -2*p - t = -7 - 0. Suppose -30 = -2*j + p. Let d be (2 + -1)\/(1\/32). What is the greatest common factor of d and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s + 62*s = 90. Solve -5*b - s*y = 18 + 14, -b - y = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4732\/16)\/7 + -2. Let d = z - 40. Let 0 + 1\/4*l - d*l**3 + 1\/4*l**4 - 1\/4*l**2 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = 4*a, 3*d = 5*a - 4. Let b = 13 + d. Solve 0 = b*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*6*(-168)\/36?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3 - 1. Let c(f) = 40*f**2 + 34. Let z(j) = 14*j**2 + 12. Let u(a) = 6*c(a) - 17*z(a). Calculate u(w(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5746, 5703, 5632, 5533, 5406?\nAnswer: 5251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -12, -8, 16, 66?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 3) + -2 + 6. Suppose 0 = 2*n - 3*s + 4, -v*s = 4*n + n - 36. Solve 0 = n*x - 5*z + 36, -z = -4 - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 1. Suppose -4*l + 3 = 3*i - 8, 4*l = 2*i + 6. Let c(b) = 1. Give i*d(w) + 3*c(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 126. Is m\/(-24)*-3*-1906 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.095 and -1.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 13*i - 1. Let y be p(-9). Suppose 0 = 4*r + y - 0. Is r >= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -8.48?\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 - 27*q**2 - 2*q**2)*(866 + 140 - 88).\nAnswer: -31212*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:52 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 1016?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. Suppose n*p + 0*t - 11 = t, -5*p - 4*t + 31 = 0. Solve 9 = 4*i - p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 7*l - 8 = 0. Let x = l + 31. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 3, f: 1, e: 1, t: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**3 + k**2 - 2*k + 1. Let u = 37 - 36. What is c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-9))\/1 + 116\/36. Factor 0 - 1\/6*d + 0*d**2 + 1\/6*d**h.\nAnswer: d*(d - 1)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 85*f**2 - 544*f + 102. Give n(91).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - -281. Suppose -29*s - 12 = -x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7230 divided by 6?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:56 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p - 1 + 0 + 11.\nAnswer: -17*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/(-36) - (350\/(-15))\/10. Which is the closest to n? (a) -16 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - n + 13, 54*o - 50*o - 3*n = -49 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)*1 - -1056 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3 - 4*x**2 + 4*x - 4. Let r(s) = 21*s**3 + 17*s**2 - 15*s + 17. Determine 9*c(d) + 2*r(d).\nAnswer: -3*d**3 - 2*d**2 + 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1 + 8*y + 12*y + 10 - 9*y. Let u be t(6). Let w be (-2)\/(-6) + (-55)\/u. What is the third biggest value in w, 3, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6116 - 16*p - 27*p + 6114 + 22*p - 12*p.\nAnswer: -33*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (-100 + 22 - -14)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 66\/431?\nAnswer: 66\/431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + -2. Which is the nearest to -0.1? (a) 5 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most -4535604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134010 (base 5) in base 8?\nAnswer: 51212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -5. Suppose -n = -5*u + 33. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -22*i**2 + 54*i - 58. Let n(t) = -9*t**2 + 22*t - 23. What is -5*g(d) + 12*n(d)?\nAnswer: 2*d**2 - 6*d + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/48 + -1\/48. Let q(j) be the second derivative of -c*j**4 + 17\/6*j**3 + 0 + 0*j**2 - 11*j. What is the second derivative of q(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -852405*t - 4262010. Give d(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -888 + 1661. Let f = -778 + u. Put f, 38, 2 in descending order.\nAnswer: 38, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.32 + -13. What is m rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n + 5*w + 9, -n = -5*w - 10. Suppose 2*c + 14 + 14 = n. Let g be (1 - 3)*49\/c. Calculate the highest common factor of 49 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7610*f + 7679*f = 1104. Put f, -187, -3, 2 in decreasing order.\nAnswer: f, 2, -3, -187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 + 57. Let c be 5\/(-10) + l - 6\/12. Sort -3, 5, c in decreasing order.\nAnswer: 5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 1}. Give prob of picking 2 o and 1 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - 6 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42, -38, -38, -42?\n\"Answer: -2*m**2 + 10*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 19 + 7 = 0. Let i be v\/(-3) + 40\/(-21). Put 2, 2\/31, i in decreasing order.\nAnswer: 2, 2\/31, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15)\/((-70)\/(-21)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k - 5. Let w be (-7)\/(49\/6)*7. List the prime factors of r(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 4 (c) -287 (d) -2\/9 (e) 1\/7 (f) -5 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19707608 is divided by 38193?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1699779420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2849, 2827, 2803, 2777, 2749, 2719, 2687?\n\"Answer: -r**2 - 19*r + 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0914 - -3.\nAnswer: 3.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**8\/1680 + k**7\/630 + k**4\/4 - k**2. Let a(r) be the second derivative of y(r). Find the third derivative of a(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 4. Let q(h) = -9*h**2 + 5*h + 4. Let m be q(d). Let l = m - -596\/5. What is the nearest to 1\/4 in l, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1150 + 1059 + 175\/7 + -9\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -3\/4 (c) 4\/5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15389689312325\/706920333 - 2\/33662873. Let r(f) = 115*f**2 + 57*f + 24. Let g be r(-14). Let l = g - s. What is the common denominator of l and 17\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 207.83102907?\nAnswer: 207.84102907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1.64 (c) 3\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35268481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 66*t**5 - 8*t**2 - 54. What is the second derivative of y(h) wrt h?\nAnswer: 3960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2663\/7580 - -1\/758. What is the common denominator of w and 25\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -70.782?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8 + 20765*r + 20588*r - 41359*r. Suppose -3*d + 3*n = -12 + 3, -2*d - 5*n = -13. What is q(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76739\/8 + -9592. Sort -1\/3, -45, -0.1, a in ascending order.\nAnswer: -45, -1\/3, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + r - h, r + 111*h = 110*h + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -34. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2776 and 1448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 117 - 211 + n + 94. Let y(m) = 11*m**2 + 6*m. Give d(y(z)).\nAnswer: 11*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-132)\/(-528))\/(-1 + 2). What is the closest to f in 0.03, 46, -5, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10c48 (base 14) to base 7\nAnswer: -230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 66 = 21*o. Solve -a + o*b = 5*b + 1, 4*a - 4*b = 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381254 is divided by 917?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 8*r**2 + r - 7. What is the remainder when 141 is divided by f(7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112584*a**3 - 48*a**2 - 4424011*a - 1 wrt a?\nAnswer: -675504*a - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 2.99. Which is the biggest value? (a) i (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 454 - 450. Let j be ((-18)\/(2 - 5))\/2. Suppose 0 = 2*w - j - 5, -w - 56 = -3*f. What is the smallest common multiple of h and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 110 = 2*w, -2*w = -0*d + d - 106. Let m = w + -257\/5. What is the nearest to 1 in m, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*k - 5 + 10, 5*j - 4*k - 40 = 0. Let i(h) = -j*h - 10*h + 20*h - 11*h. Let l(m) = -19*m**2. What is i(l(x))?\nAnswer: 95*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59162 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 + 2154\/11. Let i = -4.06 - -0.06. Which is the closest to 2\/7? (a) s (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84290917, -168581831, -252872743, -337163653, -421454561, -505745467?\nAnswer: -590036371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 88. Let o be (-3)\/9 - (g - 37). Factor o - 4\/9*c**3 + 20\/9*c - 8\/9*c**2.\nAnswer: -4*(c - 2)*(c + 1)*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46046)\/1430 - 144\/30.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + (-1 - (4 - 10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 33 = -13. Let b(p) = 0 - 6 - 36*p - 2. Let d be b(r). What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 3*y**5\/20 - y**4\/12 + 189*y**2\/2 - 56*y. Find the first derivative of l(a) wrt a.\nAnswer: 9*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -219 in -4\/7, -5, 37, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3422912 is divided by 188?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m*m\/(m\/(m\/(m**(-9)\/m)))))\/m)\/m**8*m**(3\/2)\/m**(-4\/5))**36 assuming m is positive.\nAnswer: m**(-3006\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -5\/6*c**4 + 0*c**2 - 3\/10*c**5 + 1\/3*c**6 + 4\/21*c**7 + 12*c + 0 - 1\/3*c**3. Find x such that i(x) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11101*c - 6336*c - 5724*c.\nAnswer: -23161*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1021*n + 5995 + 5236 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 45466000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = -92. Let y(z) = z**2 + 6*z - 4. Let c be y(-4). Let s = l + c. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 489 + 86. Let k be (-3)\/5 + m\/25. Suppose t - 7 = -2*j + k, 5*j - 2*t = 14. Solve -j*y + 4 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 355\/761564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((7 - 32) + 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 + 3*o**2 + 21*o**2.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9*a*a**17*a**7*a*(a*(a\/(a*a**34*a))\/a*a)\/a)**(-2\/27) assuming a is positive.\nAnswer: a**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106250.1 - 1218.\nAnswer: 105032.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12b501b + 1?\nAnswer: -12b501a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1512 and 517482?\nAnswer: 2069928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -70c?\nAnswer: 70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 12:02 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.373 - -509.373. Let p = -507 + i. What is the third smallest value in -0.07, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-6 - (-3 + sqrt(3)*-1))**2 + sqrt(30)\/(2*sqrt(360)).\nAnswer: -1655*sqrt(3)\/12 + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567 - 19608 - 27063 = -961*m - 6915 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 55 - 3*j - 53 + 2*j - 80*j**2. Let x(s) = -639*s**2 - 9*s + 17. Let d(v) = -51*w(v) + 6*x(v). What are the prime factors of d(-1)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-9))\/((-4)\/(-6)). Suppose -5 = -m*o + 5. Find the second derivative of -14*k**3 - k + 7*k + o*k**3 + 5*k wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = h, 0*h + 2*h = -8. Let i be -4 - -6*(0 - (n + 1)). Let z(k) = 2*k + k**3 + 5 - 2 + 288*k**2 - 284*k**i. Give z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27265.8l?\nAnswer: 27265800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and 0.004.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 + 86*f**2 - 20*f - 155. Give v(-29).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byd when three letters picked without replacement from dbbbydbbdddyy?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-52))\/(2\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 21. Let s(n) = n**2 - 9*n + 11. Let l(i) = i**3 - 3*i**2 + 5. Let d be l(3). Let o be s(d). What are the prime factors of k(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 12*p + 39 = 16*c, -2*c + 7*p + 0*p - 101 = 0 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 2*n - 2*n. Let z be (-29 - -48)*(310 + 1). Let p(i) = z - 5909 - i**2. Determine p(b(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/(l*l**(-2)))**(-1\/26))**(4\/9) assuming l is positive.\nAnswer: l**(-2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -3) + -4 + -4 + (-2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4947320591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m + 16*m**2 - 3*m + 112*m**6 - 102*m**6 wrt m.\nAnswer: 1200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200)*1 - sqrt(2200)) + sqrt(22))\/sqrt(2)*1 + (-6*sqrt(22)\/sqrt(2) + (sqrt(1331)*-2)**2)*1.\nAnswer: -5*sqrt(11) + 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*h**2 + 53*h**2 - 48*h**2.\nAnswer: 58*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1)*-2)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - d - 13499 = 0, 40*d = -5*r + 43*d + 67491. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906176867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:03 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-42) + 0 - (-62)\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (0 + (10 - 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/14 + 96\/(-168). Let d be (-1)\/(1 - 0) - z. Let o be (1440 + d)*250\/(-15). What is o rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b + 27. Calculate v(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-2\/13))\/(f**(2\/67)*f))\/(f**(12\/7)\/f)**26)**(-29) assuming f is positive.\nAnswer: f**(3261746\/6097)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85731990.\nAnswer: 2, 3, 5, 19, 150407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, 35, 1303, 3775, 7853?\nAnswer: 13939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -598195 or -598194?\nAnswer: -598194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - l - 2. Suppose 26 = 3*r + 4*x, 2*r - 7 = -2*x + 7. Let g be q(r). Let i = 44 - 32. Solve 4*s + s = g*u + i, 5*u = -4*s - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1965 divided by -2.\nAnswer: 1965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0. Let d = -2.9565 + -0.0735. Let z = d + 0.03. What is the closest to -0.1 in -2\/13, i, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/112330 or -1?\nAnswer: 1\/112330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 70 = 5*o, -92*o - 404*q = 160*o - 401*q + 807 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 22 = -0*a. Let t be (-4)\/a - (-112)\/(-11). Let u(h) = -2*h - 2. What is the tens digit of u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 1\/10*k**6 + 0 + 1\/2*k**3 + 0*k**4 - 23\/20*k**5 + 17\/2*k**2 - 63*k. Find the second derivative of r(y) wrt y.\nAnswer: 36*y**2 - 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 0*z**3 + 0*z**2 - 1\/4*z**4 - 21*z - 21\/5*z**5 - 23. Differentiate y(v) wrt v.\nAnswer: -84*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7 = 2*q - 6*r, 4*q + r - 21 = 0. Which is the third smallest value? (a) q (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50676024337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*y - 12, -3*m + 8*m = 5*y. Let l(u) = -u**2 + 4*u. Let j(g) = 2*g**2 - 9*g + 1. Let k(p) = 2*j(p) + 5*l(p). Give k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 w when three letters picked without replacement from {n: 2, k: 1, w: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1088.3\nAnswer: 108.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 + 16*s**3 + 4*s**2 - 160*s - 150 = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 62*v**2 + 491*v + 2892. What is the remainder when j(-6) is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -2\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -893172*w**4 + 1433022*w**2 wrt w.\nAnswer: -21436128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 29*q**2 - 174*q + 150. Let d be j(-34). What is the greatest common factor of 3575 and d?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) -0.5 (b) -1\/3 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -9, 2\/9, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-45) + (-1)\/(-5). Let u = 11.122 + -0.122. Which is the third biggest value? (a) o (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*k*q**4 - 2*k*q - 3858*k + 2768547*q**4 + 43774*q - 1 wrt q.\nAnswer: 492*k*q**2 + 33222564*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 4 (c) 886 (d) -2 (e) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/161 and -101\/1288.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -44*s**2 - 32*s. Let t(m) = -4*m**2 - 3*m. What is 3*d(q) - 32*t(q)?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3719, 3655, 3591, 3527, 3463?\n\"Answer: -64*j + 3783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020012210112 (base 3) to base 2.\nAnswer: -110100011000110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8445724397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -21 - 44. Let k(o) be the first derivative of o**4\/4 - 2*o**3\/3 - 2*o**2 - 5*o - 6. Calculate the remainder when k(5) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360 - -1798\/5. Let g = 0.64 - 0.24. What is the biggest value in 2, s, g, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 43*m + 14 = -38*m, 5*m = 3*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = 2*a - g, -g = -2*a + 6. Calculate the greatest common factor of 5 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-319481\nAnswer: -319476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-12) - (-587)\/1764. Let f = 62917\/1764 + i. Let d = -36 + f. What is the smallest value in -5, d, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b + 15. Give g(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**5\/20 - t**4\/3 - t**3\/6 - 17*t**2\/2 + 26*t. Let u be v(5). Let -3\/2*m**4 + 6*m**u + 6*m - 9*m**2 - 3\/2 = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 (base 8) in base 12?\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let b = 5 + 0. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*b**2 + 6456 - 6456 + (-3*b - 4*b + 5*b)*(-b + b + 2*b)*((-3 + 3 - 2)*(0 - 3 + 5) + 2 + 3 - 6 + (-2 - 2 + 2)*(0 - 1 + 3)).\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 8 = -3*u + 2*d, 3 = -u - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.22465 and 5?\nAnswer: 151.12325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18161 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -49. Let v be (j\/6)\/1*(-4)\/3. Let g be (21\/6 - 5)*v. Let o(a) = a**2 - 3*a + 1. What is o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b (base 14) in base 6?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 0.18. Let f be 90\/23 + 8\/92. Let q(l) = l + 8. Let d be q(-6). What is the third smallest value in t, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15982.4*0.09.\nAnswer: -1438.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4923797993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.027? (a) -3 (b) -1 (c) -0.47 (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -118889 and -2819.\nAnswer: -121708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -347080 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97.115 - 97. Let f = -0.11499509 + g. Round f to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 816*b**2 + 0*b + 815*b**2 - 8 + 2*b to the form g + w*b**3 + f*b**2 + j*b and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(198)*-5 - (sqrt(198) + sqrt(198)*1*-1))\/(2*((2*sqrt(242) - sqrt(242) - sqrt(242)) + (sqrt(2) - (sqrt(128) + 2*sqrt(128))))).\nAnswer: 15*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46234121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179667204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 31*q**2 + 193*q\/2 + 65.\nAnswer: -(q - 65)*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22982844 and 472566.\nAnswer: 11526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 77 + 209 = 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 l(v) = 88*v - 2. Let q be l(-1). Let j = -91 - q. Let f(u) = -11*u**3 + u**2 + 2*u + 1. Calculate f(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*l - 14 + 273*l - 106 - 535*l - 4*l**2 to n*l + z + k*l**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1 - 1) - -3. Suppose 2*t = 16*d - 11*d + 27, -t - 2*d = 9. Suppose -t = -g*m + 5. Solve n - 3*b + 11 = b, m*b = 3*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttttttat. Give prob of sequence taat.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j - 20 + 20)*(2 + 0 + 2) to the form q + h*j and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of (-6)\/(3\/(-298)*(21 + -19))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.78? (a) 10 (b) -2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((-935)\/7854)*(-5)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/9 and (9 - 17)\/(-32) + (-103)\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 + -10?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 577, -4, 38, 4, 0 in decreasing order.\nAnswer: 577, 38, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651.8 rounded to the nearest ten?\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 688 - 1020. Let k = b + 332.00634. What is k rounded to 4 dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 34, 54, 72, 88?\n\"Answer: -x**2 + 25*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1269)\/564*(-16)\/(-3). Which is the smallest value? (a) k (b) -0.05 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -2.44, -1\/16, -0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*h - 220. Suppose -11 - h = -5*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1218750 divided by 10\nAnswer: 121875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210011120011110 - -1?\nAnswer: 210011120011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*k + 30, -4*f - 2*k = -9*f - 33 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 26.3. Let p = 0.2 - x. Let u = p - -5.1. Which is the nearest to -1? (a) 2\/9 (b) u (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.437133935 + 1.437133595. Let m = -23 - u. Round m to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {o: 2, l: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519910628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348349381 to the power of 1\/3, to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(-7) + (-10)\/(-35). Suppose -b*w + 2*q + 246 = 0, 0 = w - 3*q - 45 - 44. What is the remainder when w is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by -217945.\nAnswer: -17\/43589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 74*j + 77. Let q be l(-1). Let y be 2\/10 + (-5)\/25. Suppose -10 = u - 2*a, 35 = -y*u - 5*u + 5*a. Sort q, 1, u.\nAnswer: u, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 4, -2.\nAnswer: -2, 4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-1 + 5)*44. Let r = t + -185. Let i = r + 551. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-15)*(-3)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100100107*r - 910085 + 910085 + 100100109*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -486 - -1117. Suppose 4*y = -10277 - i. Let a = y - -1017. Round a to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z + 217. Let x(f) = 2*f + 54. What is 2*w(c) - 9*x(c)?\nAnswer: 2*c - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-11))**(2\/7))**46 assuming b is positive.\nAnswer: b**(-1012\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*z + 2838 + 773 + 137 = -4897 for z.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 62. Let z be c(-6). Let v = z - 39. Solve 0*s - 2*s = -5*d - v, -4*s - 2*d - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h**2 + h. Let n(m) = -2*m**2 - 2*m - 1. Let d = 36 + -38. Give d*g(x) - n(x).\nAnswer: 2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12863, -49288, -109277, -192830, -299947, -430628?\nAnswer: -584873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8116503 and 7107.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 20 + 6*h + 23*h**2 - 22*h**2 + 2*h as n*h**2 + r*h + i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/22 - ((-20)\/(-22))\/(-5). Suppose -5*h = 5*p - 25, 2*h + p - 5*p - 4 = m. Suppose k - 4*k - 3*d + 96 = 0, 0 = -h*k - d + 140. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 302*g**2\/3 + 202*g + 4\/3.\nAnswer: 2*(g + 2)*(151*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -84*f + 4385. What is o(52)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -158 (b) 148 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:42 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.698051 litres in millilitres?\nAnswer: 4698.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 258*v**2 - 75 + (-2*v + 2*v + v**2)*(0 + 2 - 3))*(4*v - v + 2*v**3 - 3*v**3).\nAnswer: 259*v**5 - 777*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 4. Let a = 8 - 10. Let y be o(a). Suppose u + 0*u + 6 = -y*i, -18 = -5*u + 2*i. Solve u*h + 6 = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 205 + 19. Suppose -2*v + 3*v = 8. What is the greatest common divisor of v and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7))**29 assuming d is positive.\nAnswer: d**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -240, -3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -212, 9, -38 in decreasing order.\nAnswer: 9, 4, -3, -38, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/65)\/(1\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*i + 6 = 0, 4*d + d - 20 = -5*i. Suppose -d*f - 15 = -6*f. Let r(a) = -4*a - 27. What is the remainder when r(-9) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111789 by 1.\nAnswer: -111789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((2*sqrt(66))\/sqrt(6))**2 + -4*(sqrt(11)*-1)**2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2982, -2987, -2992?\n\"Answer: -5*m - 2977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672082136.\nAnswer: 2, 3, 7741121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13aa336 (base 12) to base 2\nAnswer: 1111000110001101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u + 68161 = -351946. List the prime factors of u.\nAnswer: 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192276, 769766, 1732246, 3079716, 4812176, 6929626, 9432066?\n\"Answer: 192495*d**2 + 5*d - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3899993*l**3 - 8*l + 1. Let c(y) = 11699980*y**3 + 23*y - 3. Let t(f) = -6*c(f) - 17*g(f). Let s be t(1). What is s rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*w - 281*w - 176*w + 700*w - 117*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 3941.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01321 - 0.38679. What is the fourth biggest value in -2, m, -1\/6, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/12811 + 448353\/204976. Find the common denominator of l and 101\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 3*y - 36. Let r be g(-8). Let f = 2003 + -1959. Which is the second biggest value? (a) 2\/9 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/2 (b) -17\/13 (c) 9 (d) 2\/21 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 4}. Give prob of picking 3 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Suppose q = 2*l - 42 - 82. Suppose l = w + w. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + q - 17, 12 = 5*i - q + 37. Let w = -0.1 - -5.1. Let z = -8 + w. Put z, i, 1\/3 in descending order.\nAnswer: 1\/3, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = -14*m - 10920. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 7*a + 7. Let h be v(-8). Let r(m) = 4*m**3 + m - 1. Let y be r(1). Let b be 2\/y - (-33)\/(-42). Is b less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/4424 and 32\/553.\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -5*t**3\/6 + 10*t**2 + 15*t. Let j be w(-13). What is the tens digit of -4 + (2 - 0) + j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-3)\/(12\/8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 149 from 73.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -13, -2, -0.1, -162.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 - -1461210?\nAnswer: 1461056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -50.4, 5, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -2. Suppose w = 5*l - 23. Suppose -177 = -l*r + 158. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a millimeter in micrometers?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o + 35*o - 14*o)*(3*o**2 + 8*o**2 + 20*o**2) + 0*o**2 + 1 - o**3 + 0*o**2.\nAnswer: 92*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (576\/8)\/(-6)*21*(-10)\/120?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1995 and 45?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1145187 + -0.06.\nAnswer: -1145187.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 26. Put 2, u, 5 in ascending order.\nAnswer: u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235545 greater than or equal to 1235545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130913220, -261826436, -392739652, -523652868, -654566084?\nAnswer: -785479300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -875 + -5?\nAnswer: -87a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.4, 0.1, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (sqrt(468) - (0 + sqrt(468)) - sqrt(468) - sqrt(468)) - sqrt(468))*-3)**2.\nAnswer: -15552*sqrt(13) + 607824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(104)*-2 - sqrt(104))\/sqrt(8) + sqrt(13) - 6*sqrt(468)).\nAnswer: -38*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -69*g - 1639. What is t(-23)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 73 + 26 = k, 0 = 4*k - 20. Let t be ((-4)\/6)\/((-2)\/390). What is the highest common factor of g and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-6) - 22\/(-10). Let r = -33951\/5 + 6792. Suppose -r*h - t + 0*h**2 + 3\/5*h**3 = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 94535*-456\nAnswer: -43107960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**6\/60 - u**5\/6 + 7*u**4\/12 - u**3 + 5*u**2\/2 - 4*u. Let l(w) be the first derivative of p(w). Find d such that l(d) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13908 + -4?\nAnswer: -13911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 25*x**2 - 8*x + 234. Is v(28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 3) in base 13?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 201595131 and 1203.\nAnswer: 201595131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37613 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 498 - 432. What is the least common multiple of 66 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 11*z + 4. Let q be f(-11). Suppose -4 = -q*p - 0*p, 0 = -4*y - 2*p + 2010. Suppose 0 = 3*h - h - y. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 69702747\nAnswer: -62732472.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0*q**3 + 0*q**4 + 0*q**2 - 1\/15*q**6 - 1\/20*q**5 + 0 - 1\/42*q**7 - q. Determine p, given that n(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 28*v**5 + 23760*v**4 + 7564160*v**3 + 1071464960*v**2 + 57168768000*v + 32319410176 = 0.\nAnswer: -212, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -40*g**3 - 17*g - 809. Let h(q) = 7*q**3 + 3*q + 135. Determine 34*h(s) + 6*i(s).\nAnswer: -2*s**3 - 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4807 = 4*x, 64*x + 4*h - 4780 = 60*x. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/1*(-3)\/12*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423 divided by 1.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k + 8. Let j(w) = 10*w - 7. Let h(f) = 6*j(f) + 5*v(f). Let d be (-4)\/6 + 1\/(-6)*8. What is h(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-30) + (-151769338)\/(-2010) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 1. Let h be t(9). Let f = h + 28. Is f + 11*-13*(-6 - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u - u**2 + 21*u - 5*u. Let b be y(5). Suppose -d = -5, -3*p = -b*p - 5*d - 86. What is the greatest common factor of 185 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q*(q*q**(-1\/4))\/q*q*q)\/((q\/(q\/(q\/q**(3\/2))*q))\/(q\/q**(2\/5)*q)) assuming q is positive.\nAnswer: q**(97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -33768303.35 + -173.3\nAnswer: -33768476.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 76250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 882*o - 20504. Calculate n(26).\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3586.74 and 53892.\nAnswer: 50305.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102171538*f**5 - 7398734*f**2 + 2*f.\nAnswer: -6130292280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 23181.7.\nAnswer: 463634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14866448?\nAnswer: 2, 929153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*x**2 + 39*f**2 + 2723*f*x**4 - 13*f wrt x?\nAnswer: 2*f**2*x + 10892*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30728 and 1110884.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 453*h + 32407. What is t(-75)?\nAnswer: -1568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -82\/591397 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m + 6. Suppose 6*u - 2*h + 89 = u, -7 = u + 5*h. Let v(s) = -12*s - 17. What is u*k(a) - 6*v(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - -10211001222222?\nAnswer: 10211002001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -23. Suppose c*p + 0*p = -54. Is p greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 1:02 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 23*o**2 + o**3 - 27*o**2 + 15*o**4 + 7*o**4 - 13*o**4 to k*o**2 + b*o + s*o**3 + m + j*o**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*t - 2*k + k, 0 = 2*t - 3*k - 19. Calculate the greatest common factor of 64 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 150. Suppose -5*g + f = -0*g. What is the smallest common multiple of ((-18)\/4 + 2)*-2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4522 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 h(i) = i**3 + i**2 - i + 1. Let n(s) = 54*s**3 - 4*s**2 + 2*s - 5. What is 4*h(t) + n(t)?\nAnswer: 58*t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40818350 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*m - m. Suppose 37 = m*d - 35. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -120, -151, -202, -279?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1. Let x(t) = 9*t + 11. Let l(s) = 22*v(s) + 2*x(s). Let u(k) = -k. What is l(u(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 28. Let o = u + 15. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, 758, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-16))\/(-14 + (-290)\/(-20)). Let j be (0 - -2) + (-36)\/15. Which is the nearest to j? (a) -0.1 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f - 35 + 4*f + 35.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54\/5 of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-7182)*18)\/((-2)\/(-6))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3476, -14022, -31638, -56324?\n\"Answer: -3535*w**2 + 59*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10297*y - 20924*y - 872669*y - 320224*y.\nAnswer: -1224114*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72188*o**4\/11 - 1594698*o**3 + 1420874946*o**2\/11 - 38363544810*o\/11 - 3188646\/11.\nAnswer: 2*(o - 81)**3*(36094*o + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 87\/(-2)*4\/(-3). Suppose -w = -0*j - 2*j. Suppose h = 4*u - j, -2*h = 3*u - 4*h - 28. What is the highest common factor of 24 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 2. Let h(x) = -5*x + 5. Let w(q) = -9*q + 9. Let v(o) = 11*h(o) - 6*w(o). Give 5*p(s) + 12*v(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4587 minus 175030?\nAnswer: -170443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-6))\/((-2)\/(-12)). Let y be (-5)\/(-10)*(-1 + c). Find the second derivative of 0*t**2 - 18*t**5 + 20*t**5 + 0*t**y + 9*t wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-4 + (-76)\/(-16)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 105615*o + 8. Let d be q(4). Suppose -19064 = -2*r + 445872. Let w = d - r. Round w to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -25 - (164 - 140)) + (-2 - 37)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 685619, 685620, 685623, 685628, 685635?\n\"Answer: y**2 - 2*y + 685620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -2c?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/3 + 209678*x**3\/3 + 4885730148*x**2 + 113912379271224*x + 3640195438900992 = 0. Calculate x.\nAnswer: -69882, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2339 - 84209\/36. Do -1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35545524 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -50.925. Let a = 0.0648 - b. What is a rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -295\/42 in 0.4, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148264787.\nAnswer: 11, 439, 30703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*t - 2*v = 76*t + 4, 4*t - 4*v = -16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 624 = 578 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 15*y**2 - 101*y - 28. Let h be g(-20). Which is the third biggest value? (a) -4 (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (6*(-2 + sqrt(68) - sqrt(68)) - sqrt(68))*-2 + -1 + -5)**2.\nAnswer: 136*sqrt(17) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13350, 13358, 13366, 13374, 13382?\nAnswer: 13390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 39 + -32 + (-18 - -2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(228))\/sqrt(12) + 5.\nAnswer: -6*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 173*p - 1095. Give g(7).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 54\/396211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f. Let v = -15 - -16. Let y be q(v). Solve -y*r - r = 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*p - 30*x + 27*x, 5*p - 43 = 30*x - 23*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*g + 2*g + 5*r, -3*g = -4*r. Let i(o) = 2*o**3 - 3*o**2 - 6*o - 6. Let n be i(g). Let a = 271 + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4519730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.33 + 12.03. Sort 1\/2, -1\/4, 109, h in descending order.\nAnswer: 109, 1\/2, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 + 81*p**3\/4 + 419*p**2 + 399*p.\nAnswer: p*(p + 1)*(p + 38)*(p + 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 3*s**2 - 2*s**2 - 5*s**2 + 2*s**2 + 5*s**2 + (-1 + 1 - 2*s)*(1 - s - 1) + 4*s**2 + 0*s**2 - s**2 - 3*s**2 + s**2 + s**2)*(-5*s + s - 7*s).\nAnswer: -88*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -32. Suppose -c*a + r = 0, -5*a + 4*r = -0*a. Sort 3, a, -4 in ascending order.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-584)\/(-12702))\/(-1*2))\/(3\/27*3)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0147 and -0.1.\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -t + 602, 2425 = 4*t - h + 2*h. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(((-2)\/(-2))\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(10)\/sqrt(5) + (sqrt(2) - (1*sqrt(2) + 3)))**2 + 2 + ((sqrt(2) - (sqrt(162) - -1*sqrt(162)))**2 - (sqrt(4)*-2)\/sqrt(2)).\nAnswer: -10*sqrt(2) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 3, x: 3, v: 6, j: 3, e: 1}. What is prob of picking 1 e and 1 w?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -1708, -3848, -6846?\nAnswer: -10702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/sqrt(360))\/sqrt(784).\nAnswer: sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -43, -77, -111, -145?\n\"Answer: -34*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 1. Suppose 4*n + 22 = -2*f + 2*n, 0 = -2*f + 5*n - 22. Let m = 16467 - 16464. Put 1, m, f, x in ascending order.\nAnswer: f, x, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1589, -1629, -1719, -1877, -2121, -2469?\nAnswer: -2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 20*b - 10. Determine j(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.341 - -1.341. Sort 1\/15, -5\/2, l, -1.\nAnswer: -5\/2, -1, 1\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 12*v**2 + v - 2*v as l + h*v + j*v**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 - 12*p**3 + 220*p**2 - 564*p + 360 = 0.\nAnswer: -10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 16. Suppose -x - 27 = -0*x + 4*m, 2*x + 4*m + 54 = 0. Calculate the lowest common multiple of p and (6\/(-4))\/(x\/162).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = t + 1614 - 527, 2*t = 10. What is the remainder when q is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:54 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsgzlgvv. Give prob of sequence zvlg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1279397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*g = 18, 10*g = -d + 15*g - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1357*q**2 - 8*q + 4. Let d(a) = -153340*a**2 + 902*a - 451. Determine -4*d(s) - 451*w(s).\nAnswer: 1353*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 37. Calculate the remainder when 58 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (65 - (29 + 74)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 221721739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:36 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 3*z + 10. Let y be p(-5). Suppose y = -4*h + 1 + 39. What is the units digit of h\/25 - 34*(-2)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 11*s - 133. What are the prime factors of a(13)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 + 0 = 0. Let c be 2\/((-84)\/w - -1). Let x = 221\/129 - c. What is the third biggest value in x, 2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -2*j**6\/3 + 4*j**5 - 10*j**4 + 40*j**3\/3 - 10*j**2 + 4*j + 53. Factor h(q).\nAnswer: -4*(q - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629150 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1\/5, 0.1607?\nAnswer: 0.1607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77039103.\nAnswer: 3, 25679701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/60 + u**4\/2 + 5*u**3\/6 + 19*u**2. Let b be h(12). Solve -b*c - 12 + 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 36 - 5)*(0 - s**3 + 0) + 2*s**3 - 2*s**3 - 2*s**3.\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/30184 and -19\/176.\nAnswer: 60368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823753480?\nAnswer: 2, 5, 45593837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.92 times 2294?\nAnswer: -13580.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(539) - (sqrt(539) + sqrt(539)*-1 + sqrt(539)) - sqrt(11)) - -3*(sqrt(2) - (sqrt(288) + sqrt(288) + 4 + sqrt(2)))**2.\nAnswer: 575*sqrt(2) + 3504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldld when four letters picked without replacement from ttdmdtdeldel?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.026 and 1?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540736861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -77. Let a(z) be the second derivative of 49\/10*z**6 - 2*z**3 - 3*z - 63\/20*z**5 + 0*z**2 - h*z**4 + 0. Factor a(x).\nAnswer: 3*x*(x - 1)*(7*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*t - 140*t + 411*t - 135*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/391345573?\nAnswer: 4\/391345573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*k - 2510 + 232 - 3690 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323\/(-504)*6\/7?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 6*n**2 - 8*n + 8. Let p be h(-7). Let t = -1 - p. Let q = t - -24. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l\/(l**8*l*l)*l*l)*l)*l**8)**(-1\/26)*(l\/(l\/(l**2\/l))*l\/l**(3\/7))\/(l*l**(-1\/9)*l**(-2)) assuming l is positive.\nAnswer: l**(4457\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6726*t - 3631. Let i(c) = -3368*c - 1815. Let m(p) = 5*i(p) - 3*w(p). What is the derivative of m(r) wrt r?\nAnswer: 3338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5536 to two dps.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f. Suppose 6*h - 266 = -13*h. What is the units digit of b(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*j)*(-5 - 10 + 2) + j - 8*j - 7*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n**4 + 45*n**3 - 50*n**2 = 0. What is n?\nAnswer: 0, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, 76, -35 in decreasing order.\nAnswer: 76, -0.2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729242 is divided by 17782?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -2 + 232\/72. Let j = -46 - -185\/4. Suppose -5*v - 2*y - 23 = 0, 5*y = -5*v - 0*y - 20. Sort k, j, v in decreasing order.\nAnswer: j, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.142 (b) 3 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5256*z - 54060.\nAnswer: 5256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5558 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o**2 + 27*o - 19. Let d(r) = -7*r**2 + 13*r - 10. Suppose 3*v + 4 = 2*v + q, -4*v + 2*q = 26. Let h(y) = v*d(y) + 4*k(y). Calculate h(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 4161 = 33*v + 1281. Calculate the greatest common divisor of 1504 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130997368 by -16374671.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 248*s - 18886. What is f(-68)?\nAnswer: 2602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.45. Let t = 0.05 + v. What is the third smallest value in -5, t, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Suppose -3*w + 1567 = 2*w - 4*l, l = 2. Let i = w - 4093\/13. Put 5\/3, c, i in descending order.\nAnswer: 5\/3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1806 and 56.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0*p**4 + 0 - 1\/6*p**3 + 18*p + 0*p**2 - 1\/20*p**5. Find the second derivative of m(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7. Let l(a) = -1. Let b(f) = -c(f) + 6*l(f). Let j(u) be the second derivative of -3*u**3\/2 - 3*u**2 - 8*u + 15. What is -6*b(m) - j(m)?\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 7. Let m be r(5). Suppose 181*x + 5*l - 40 = 179*x, 0 = x + 2*l - 15. What is the closest to m in 2\/9, 0, -3\/2, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1980912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 47*n**4\/2 - n - 101. Let m(t) = 2*t**2. Calculate d(m(y)).\nAnswer: 1128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457700 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p - 67. Let u be o(4). Put -9, 4, u in ascending order.\nAnswer: -9, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280822543 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802917 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -18932 and -18934 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 3*i - 3*i + i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/104 and 59\/2086484.\nAnswer: 54248584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b2350 - 24?\nAnswer: -b2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from {d: 2, j: 2, g: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-94)\/(-329))\/((-3)\/((-21)\/2)). Sort f, -15, 5 in decreasing order.\nAnswer: 5, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:15 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 136098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76154879.\nAnswer: 31, 2456609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*k + 11, -2*k - 229611*r + 7 = -229614*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324) + (sqrt(5324) - (sqrt(5324) + (3*sqrt(5324) - sqrt(5324)))))\/(sqrt(24)\/sqrt(6)*3).\nAnswer: -11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**3\/3 - 13*y**2\/2 + 2*y - 2. Calculate the lowest common multiple of 8 and t(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 0, 4*o - 8 = t - 47. Suppose -7*c + 9*c + 126 = 0. Let x = c + t. Is x < -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 (base 11) in base 10?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 77. Suppose 6 + r = q. What is the second derivative of -2*i + 2*i - 3*i - 2*i - q*i**4 wrt i?\nAnswer: -252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1390, -1910, -2774, -3982, -5534, -7430?\n\"Answer: -172*n**2 - 4*n - 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10973 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 12*n - 2. Let z be b(13). Let w be 14\/63 - 97\/(-9). What is the highest common divisor of w and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 18) + 1*2. Let r = 4 + p. Put 5, -1, r, -2 in decreasing order.\nAnswer: 5, -1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(17) - (sqrt(17) - ((sqrt(17) - (-1 + sqrt(17) - sqrt(17))*4) + sqrt(17))) - ((sqrt(153) + 0 + sqrt(153) - sqrt(85)\/(sqrt(5)*2)) + 5))**2.\nAnswer: -39*sqrt(17) + 2909\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423.7 - 423.5. Which is the second smallest value? (a) -0.4 (b) -1\/8 (c) 0.1 (d) g (e) 171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i - 8. Let z(g) = -5*g + 8. Let s(k) = -2*a(k) - 3*z(k). Determine s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 48*a**2 + 79*a - 116. Let s(i) be the third derivative of -3*i**5\/20 - 2*i**4\/3 + 23*i**3\/6 - 8*i**2 - 5*i. Let y(b) = 11*s(b) + 2*w(b). Factor y(k).\nAnswer: -3*(k - 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - -39. Let h = w + -43. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145541477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -280b28 (base 15) to base 7.\nAnswer: -22241633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 4921645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:12 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*p + 521, 4 = 4*p - 0*p. Let r be ((-12)\/(-14))\/3*f\/(-15). Which is smaller: -0.07 or r?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-9) + (48\/3)\/(-2) + 5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*u = -0*u - 16, -5*d + 100 = -5*u. Let g = d - 17. What is the second derivative of -6*c**g + 19*c - 23*c + 15*c**2 wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 746?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -42. Calculate the remainder when 58 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 380328*z**3 + 30*z**2 - 61052?\nAnswer: 2281968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 1278, 2893, 5158, 8073, 11638, 15853?\nAnswer: 20718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 4. Let y be v(4). Suppose -m + 2*m - 4 = y. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65 - (1\/(-2 + 3) + -4). Suppose 0*m + x = -3*m + 204, m - t = -2*x. Suppose 15*l + m = 19*l. Calculate the highest common divisor of 34 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10228*u - 3 = -10231*u, -6*n - 551 = -5*u for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -18. Let q be s\/(-2)*(-1 - 1). Suppose 2*a - 527 = -c, 139 + 127 = a + q*c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10.3867029 hours?\nAnswer: 0.0618256125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at most -3131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4 - 1 = 0. Let w be -1*(1 - d) + 5. Let p = 3 + w. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(0 + 0 - 3*z)*(2209 + 63 + 328 + 529).\nAnswer: -9387*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h = 320*h - 181*h + 5016 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193572 or -193574?\nAnswer: -193574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m**2 + 7*m. Give s(-2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 24*s - 19. Let b be z(-13). Let t(i) = b*i - i - i - 7*i. Let g(r) = r. What is t(g(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 27, 159, -13, 2 in descending order.\nAnswer: 159, 72, 27, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 928 - 950 - (5 + -48)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/1)\/6)\/(28\/672)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2, 2\/13, 4\/1727901, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2)\/sqrt(11) + (sqrt(7)*-2)**2 + -2.\nAnswer: -2*sqrt(7) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*f + 80*f - 13*f - 5384 + 5381.\nAnswer: 130*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2893, 2894, 2895, 2896?\n\"Answer: n + 2892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23337 (base 13) to base 14\nAnswer: 195c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z. Let w(x) = x**3 - x**2 - 2. Let t be w(2). Let m(c) = -2*c + c + t*c + z*c. Let o(v) = 5*v. Give m(o(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*s = -153 + 77, -3*s - 47 = -w. What is the remainder when 585 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3640729.\nAnswer: 53, 73, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/4 of a week?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*v**2 + 63*v**2 - 9*v**2 + 2*v in the form a*v + h + x*v**2 and give x.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 15511422 - 2773*g - 15511422 in the form t*g + y and give t.\nAnswer: -2773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 20. Suppose 5*f - 10 = -3*c, -f + 2*c + 3*c + 2 = 0. Suppose 3*s - 300 = -f*s. Calculate the remainder when s is divided by d(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 114.8. Let x = u + -27. Let r = -1.6 + x. Sort r, -0.1, -2\/13 in increasing order.\nAnswer: -2\/13, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0 + 0*r**3 + 0*r**6 - r - 1\/6*r**4 + 0*r**5 + 1\/21*r**7 + 0*r**2. What is the third derivative of a(z) wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 1, p: 1, t: 2, m: 2, w: 1}. What is prob of picking 1 w, 1 t, and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*p + 663 = -1034 - 1075 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (697\/85 + -9)*(-6 - -1). Find b such that 0 + 0*b**3 - 6\/7*b**2 + 2\/7*b**d - 4\/7*b = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19286657.85 rounded to the nearest one hundred thousand?\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/30 - 17\/5 - -281?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 52, 88, 126?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 63 + 1433*g - 710*g + 69 - 714*g. Determine t(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4007030141 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + u. Let q(m) = -13*m**2 - m - 2. What is -2*a(p) - q(p)?\nAnswer: 15*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 68721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Which is the nearest to n? (a) 3 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 68?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 + a**3)*(-a + 0*a + 0*a).\nAnswer: -a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 521.544ng?\nAnswer: 0.000000000521544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 764143567 to the nearest integer?\nAnswer: 27643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*q**2*u**3 + 2*q**2 - 14*u**4 + 39 wrt u?\nAnswer: 15*q**2*u**2 - 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (792\/(-702))\/(-11)*23\/((-15640)\/(-30))?\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 2*x + 18. Let k be h(-7). What is the remainder when 73 is divided by (-43)\/(-2) - (-165)\/k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 59504*h**2. Let b(w) = 2*w**2 + 2. What is b(y(n))?\nAnswer: 7081452032*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*d - 5*o, 0 = -d - 3*o + 190 - 195 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15219181 to the nearest ten thousand.\nAnswer: -15220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 1\/63*t**7 + t - 2\/45*t**6 + 1\/9*t**4 - 1\/9*t**3 + 0 + 0*t**2 + 0*t**5. Determine h, given that c(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 362891077 to the power of 1\/2, to the nearest integer?\nAnswer: 19050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence our when three letters picked without replacement from rrzqqqouqqrrzwquuuru?\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991 = -2*p - g, 3*p - g = -4*g + 1491. Is 56 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160186072.\nAnswer: 2, 20023259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 143*z**2 + 66*z - 66. Let o(h) be the third derivative of 11*h**5\/60 + 5*h**4\/24 - 5*h**3\/6 + 18*h**2 + 2*h. What is 66*o(l) - 5*y(l)?\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1146*v**2 - 36*v + 62263?\nAnswer: 2292*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13371385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 - 2*k + 2. Let m(j) = 23*j - 4*j + 76 - 20*j. What is the remainder when m(23) is divided by i(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - k + k)*(2 - 2 + 2*k) + 3 - 3 - k**2 - 2197*k + 4387*k - 125*k**2 - 2193*k to t*k + g*k**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 33. Let c(m) = -m**3 - 5*m - 11. Calculate the remainder when c(t) is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 116?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 1064382240*y + 70806847051713600 = 0. Calculate y.\nAnswer: -133047780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348136*x**4 - x**2 - 1328*x + 8 wrt x?\nAnswer: -8355264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-9)\/6))\/(19944\/168416*(-12)\/(-243))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -3 + (-6)\/(-144)*63. What is the biggest value in -1\/4, h, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + -7 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Suppose 4*f + x - 6 = 0. Suppose -3*c - 3*z + 0*z = 0, 0 = -5*c + z - 30. Sort c, 4, f in decreasing order.\nAnswer: 4, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 3*t - 5*n = -2*t + 9*t, -3*t = 54*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = 0, r + 21 = 6*x - 2*x. Let h be 18\/x*4\/(-6). Is (h - 0) + (0 - -17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183 + 215. Let a be (21 - 1)*(-2 + 1). Let f = z + a. What is the greatest common factor of 36 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(19) + 5*(sqrt(19) - sqrt(95)\/sqrt(5)) + sqrt(19)))**2.\nAnswer: 24*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:28 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/(j*j**(2\/3))*j))*j)*j**(-14)*j\/j**(-12)*(j\/j**17)\/j)**(-27\/2) assuming j is positive.\nAnswer: j**(495\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/2 - (43 + -7974) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/7 + ((-2)\/(-1) - 0). Let x = 1 - -1. Find the third derivative of -i*o**5 + o**5 - o**x + o**2 - o**2 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.8171898 to three decimal places.\nAnswer: -133.817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 0 = -28*h + 50*h - 847 for h.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:33 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d*(d**6\/d)\/d))\/d))\/d**(-7))\/(d**5\/d*d\/d**3)*(d**(-1\/4))**(2\/7)*(d**1)**17 assuming d is positive.\nAnswer: d**(391\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 18*q. Let b(w) = w**2 + 8*w. Let i(v) = 9*b(v) + 4*k(v). Let u(r) = 271*r. Give u(i(m)).\nAnswer: 271*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4393217 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/3 (c) 2\/11 (d) 0.2 (e) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/14640 and -35\/128?\nAnswer: 117120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m - 95. Let g(p) = -5*p - 95. What is 2*g(o) - 3*x(o)?\nAnswer: 2*o + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -26*s**2 + 0*s**4 + 0*s**3 + 16 + 31\/5*s**5 + 0*s. Find the second derivative of y(a) wrt a.\nAnswer: 372*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*z**5 - 226 - 24*z**4 + 224 - 16*z**4 - 14*z**2 - 3*z wrt z.\nAnswer: 600*z**2 - 960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 10:26 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 12 = -10*g, -398*d + 5*g - 3 = -396*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4859*o + 5909*o + 56*o - 3304*o + 4550*o.\nAnswer: 12070*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.29, -2, 0.05, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(6*(sqrt(700) + (sqrt(700) - -1*sqrt(700)) + sqrt(700)) + sqrt(700)))\/(-2*sqrt(64) - sqrt(4) - (sqrt(16)*3)\/sqrt(4)).\nAnswer: 4 + 125*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 18520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4)\/q*q**(-2\/9))\/((q**(5\/4)\/q)\/(q\/(q\/q**(-3)))))**(-13\/4))**(1\/51) assuming q is positive.\nAnswer: q**(3965\/7344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 133033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -0.38 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/11))\/h)\/h)**1*(h\/h**3)**11 assuming h is positive.\nAnswer: h**(-255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 10) to base 13\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -11891766 and 4.344.\nAnswer: -11891761.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794725?\nAnswer: 3, 5, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:14 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179\/88 >= 22\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(4\/17))**(-4\/11) assuming z is positive.\nAnswer: z**(-16\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.964407t?\nAnswer: 964407000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 10*h**2 - h - 1. Let m(o) = 478*o**2 - 8838*o + 14122. Let a(g) = m(g) + 10*t(g). Factor a(b).\nAnswer: -2*(b - 28)**2*(5*b - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 9*p**2 - 21*p + 9. Let z be g(-6). Suppose x + 32*l - z*l - 8 = 0, l - 10 = -3*x. Solve d = -x*d + 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141676991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/65)\/8*-75\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w + 2*w + 11*w)*(-2*w**2 + w**2 + 0*w**2 + (-w + 3*w - w)*(-w - 2*w + 2*w) + 2*w**2 - 4*w**2 + w**2).\nAnswer: -69*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/6)\/1*2. Let r be (-4)\/3 + (-6)\/y. Suppose -5*d = -d. Is r bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 - 710*c**3 - 3182413*c**2\/5 - 11284740*c - 252619236\/5.\nAnswer: -(c + 9)**2*(c + 1766)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173\/324 + 559\/1296. Calculate the common denominator of 63\/688 and n.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 25770, 194 in increasing order.\nAnswer: 4, 194, 25770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365 - 126*g + 2365.\nAnswer: -126*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j + 8. Give m(-6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r + 11. Suppose 3*b + 4*w - 28 = 0, 0 = r*b + w - 4*w. Calculate the greatest common factor of b and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 7*n + 5*n + 30 = 0, 5*b = 4*n + 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4220545 equal to -4220542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*33\/(-3)*((-110)\/(-121))\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = 88 - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -56.3 (b) 0.1 (c) 2\/15 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10341 (base 5) in base 14?\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 775231.5 years?\nAnswer: 775.2315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2138628 is divided by 283.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 9) in base 15?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 2, 1, 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 269*o**3 + 2*o - 1. Let r be s(1). What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -31. Suppose -1227*b = -1222*b - 30. Solve -r*s + b = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1219573842 + 0.0795\nAnswer: -1219573841.9205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9042677 rounded to the nearest one hundred thousand?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2492*t**2 + 2430*t**2 - 7351*t**2 + 2435*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 681694160 and 21280?\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782901920.\nAnswer: 2, 5, 1451, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 5*i + 5*u - 28, -3*u = 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 21. Let l(t) = 10. What is -9*l(q) + 4*r(q)?\nAnswer: -4*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 6*k + 25. Let a be s(-13). Let u = a + 49. What is u rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1261 - -2822. List the prime factors of x.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*j + 11. Suppose -9 = -3*x - v + 8, 0 = 4*x + v - 21. Suppose -2*s = -2*k - 14, -s + x*k - 5 = -3. Solve -2*b = -g + b - s, g + j = 4*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + s + 46. Let q(x) = x**2 - 38. Determine 6*h(m) + 7*q(m).\nAnswer: -5*m**2 + 6*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104535134371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 230624*g. Let s be d(-1). Let r = s + 159629. Let o = r - -46895. What is o rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 430911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. What is the third derivative of 3*h**3 + h**2 + 4*h**w - 4*h**3 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125, 112, 75, 2, -119, -300, -553?\n\"Answer: -2*z**3 + z + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43806953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117446673?\nAnswer: 3, 41, 954851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3.4, -69, 30\/149, 0.5, -1?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 5:48 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.9 + 63.1. Let q = o + -33. What is the closest to -0.1 in -1, q, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 + 5)\/((-16)\/24)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o = -5*n + 40*o + 1, 2*o = 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1005 - -27?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11957 + 11957. Which is the third biggest value? (a) -7 (b) h (c) -4 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16311*d - 401 + 401.\nAnswer: 16311*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:57 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 151, 294, 435, 574, 711, 846, 979?\n\"Answer: -w**2 + 146*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -45, 0.2, -0.3, 2222, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5792 + 3579. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1966 - -0.4966. Let m = -0.66 - 0.04. What is the nearest to x in 5, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.2 - 72. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -729*b**3 - 1085*b.\nAnswer: -4374*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Suppose 3*k + 45 = b*k. Solve -u = -l, -5*u - l + 3 + k = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.371 - -22.254. Is 2\/3 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 0*j**2 + 0*j**2 + (-2*j - 2*j**2 + 2*j)*(-4 + 1 + 2) + 11*j**2 + 0*j**2 - 6*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6701919.02999989 - 6701919. Let n = 864 - 863.97. Let o = n - r. What is o rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 29. What is h(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 8*u - 21. Let w be c(-10). Let l be (-2 - (-1 + -2))\/w. Sort 0, -3, l in descending order.\nAnswer: 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -3*k**2\/2 - 1. Let q(l) = -l**2. Give p(q(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 3\/2, 1, 0.06, 6, 499.\nAnswer: -2\/15, 0.06, 1, 3\/2, 6, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.9, 0.1, 2\/13, 3, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 27\/(-15) - 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22903*k + 10 + 5*k**3 - 11494*k - 11409*k.\nAnswer: 5*k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101443\/11432 + 2\/1429. Let y = -4903\/552 + b. Is y >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (-10 - -15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 32*u - 10. Let b(v) = 90*v - 28. Let l(m) = -5*b(m) + 14*r(m). Let p(f) = -f - 15*f - 12*f. Give p(l(o)).\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4656 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*i**3 + 15914 - 15914.\nAnswer: -204*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i\/i**(1\/5)*i))**(-2))**4*((i\/(i*i**(-1\/4)*i*i))**(3\/10))**(-2\/21) assuming i is positive.\nAnswer: i**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6760 divided by 825.\nAnswer: 1352\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1167*o**2 + 9725*o**2 + 2230*o**2.\nAnswer: 13122*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-736)\/(-24) + (-4)\/6. Suppose 7*f - b = f. Suppose -5*m = 5*r + f, 3*m - 3*r - 11 = 4. Solve 4*l = 4*x - 4, -5*l - m*x - 23 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282.5 - 232.9. What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*t = 3*y + 130*t + 25, -3*y - t - 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 y, and 1 m when four letters picked without replacement from {h: 1, v: 5, m: 2, y: 2, f: 4}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-4) + 0)*(-18527)\/92635. Suppose 2*z - 7*z + r = -16, 3*z - 4 = -5*r. Factor 0*l**2 - 6*l + i*l**z - 8.\nAnswer: (l - 4)*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.41296 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4\/(-20))\/(69\/(-3795))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313 - 308. Let w(b) = 4 - t - 9*b**2 + 5*b + 4 + 8*b**2. Determine w(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73\/4 + -18. Suppose -2*h + j - 7 = -0*j, -5*h - j = 0. Which is the closest to h? (a) 1\/5 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) - (4 + (-3*sqrt(13))**2)).\nAnswer: -121 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/8)\/((-1)\/(-2)). What is the biggest value in i, 4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 414, 3012, 9696, 22392, 43026, 73524?\n\"Answer: 321*q**3 + 117*q**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -79. Let x = g - -107. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222531 (base 6) to base 8.\nAnswer: -44527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14744\/(-97))\/38*36\/2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*k - 104*k**3 + 11*k**2 - 9*k**2 + 99*k**3 as v*k**2 + z + g*k**3 + q*k and give q.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243694, 487388, 731082, 974776, 1218470?\nAnswer: 1462164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 55672 - 2*t - 55672 - 46*t**3 to the form j*t**3 + h + y*t**2 + f*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 1750*o\/3 + 3508\/3.\nAnswer: -2*(o - 2)*(o + 877)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by -94.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -25667122\nAnswer: 462008196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 418463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 129, 124, 119, 114?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164589.\nAnswer: 3, 83, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 32. What is the remainder when 37 is divided by r(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1006024605 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - -3*sqrt(96) - (sqrt(1350) + sqrt(54)))\/(2*-2*sqrt(18)) + -3 + -3.\nAnswer: -6 + 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 8*g - 11. Let i(t) = -2*t**2 - 17*t - 23. Let w(o) = 4*i(o) - 9*s(o). Suppose -z = z + 12. Is w(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ad44 + -14a?\nAnswer: 6abe9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dissoit. Give prob of sequence ii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92, -95, -98, -101?\n\"Answer: -3*r - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -194, -644, -1510, -2930, -5042, -7984, -11894?\n\"Answer: -23*r**3 - r**2 - 8*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*m - 24, 6*m - 2*f - 22 = 2*m. Let g be (2\/m)\/((-1)\/(-14)). What is the lowest common multiple of ((-12)\/g)\/(3\/(-21)) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvgtghtyygtt. Give prob of picking 2 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5994 + -0.5994. Which is the nearest to -1\/2? (a) w (b) 3\/8 (c) 0.5 (d) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 24*k**2. Let o = 22 + 4. Suppose -25*f - 12 = -o*f. Let m(v) = 12 - f - 3*v**2 + 4*v**2. Calculate q(m(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11088 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/20)\/((33\/(-42))\/((-88)\/462))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 51709505?\nAnswer: 51709509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/12*1)\/((-1)\/(-6)). What is the common denominator of ((35\/27)\/t)\/(4\/78) and 10\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-8)*42*(-10)\/(-15) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*a + 19 = 0, -5*r + 4*a + 23 - 7 = 0. What is the derivative of 56 + 108*t**4 - 22*t**r + 28 wrt t?\nAnswer: 344*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 1 - 3 = -x, 5*x = 4*a + 46 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 25. Let w = -6 - t. Let d = 3.9 - w. Is -2 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 - 65 = 0. Suppose -2*z - g = 3*z. Let r = z + 10. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3433971 - -3?\nAnswer: 3433974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/9, -53 in decreasing order.\nAnswer: 1\/9, -0.1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 4. Solve 0 = c + z*j - 15, -2*c + 0*j + 5 = -j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -511*m - 49. Let y(t) = 64*t + 6. What is 6*c(a) + 49*y(a)?\nAnswer: 70*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 0, 2, 87, 21 in increasing order.\nAnswer: -60, 0, 2, 21, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -340\/31, 1\/4, -5.\nAnswer: -340\/31, -5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 894.\nAnswer: 5\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 495359231 to the power of 1\/2, to the nearest integer?\nAnswer: 22257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((19044\/368)\/(-69))\/(18\/16)*(-15)\/38?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59.4 - 59. Which is the smallest value? (a) -0.284 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - (-1 - 2)) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69.04 + -71.04. What is the closest to w in -11, -2\/7, 15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + sqrt(288) + sqrt(288) + sqrt(288) + -3)*2)**2.\nAnswer: -1152*sqrt(2) + 18468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 19 + 28 - 2)*(3 + 4 - 5).\nAnswer: 8*k + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtt when three letters picked without replacement from mtttdtdtxmtxdxx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 296946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 - (3 - (6 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6904 divide 4129682328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 104, 12, 3, -2, 1, 4 in increasing order.\nAnswer: -2, 1, 3, 4, 12, 104, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 8*o**2 + 11*o - 2. Let w be n(-6). Suppose 5*z = -2*u + 19, -2*u = 5*z + 3*u - 25. Solve -w = c + z*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-225)*12 - 7\/(147\/44).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizjiuuiiyuzuzii. What is prob of picking 1 i, 1 z, and 2 u?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -1\/2, -2.25?\nAnswer: -2.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by 18\nAnswer: 109\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 10*o**5 + 0*o**4 + 0*o**2 - 97 + 4\/3*o**3 + o. What is the third derivative of n(s) wrt s?\nAnswer: 1200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 70158604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1 (b) -19 (c) -5 (d) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1927894 - 241048863?\nAnswer: -241048862.8072106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 5, n: 1, r: 11, w: 1, t: 1}. Give prob of sequence rrt.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73400.175 seconds in hours?\nAnswer: 20.3889375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g - 2*g + 18*g + 21 - 5*g)*(8*g**2 + 11*g**2 - 15*g**2) to the form q*g**3 + d + y*g + i*g**2 and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 26. Let b(r) = 5*r - 77. Calculate 3*b(v) - 8*y(v).\nAnswer: 7*v - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273810692.\nAnswer: 2, 29, 83, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*s\/(s\/s**(-1\/4)))\/s*s))\/(s\/(s*(s**(-4\/3)*s)\/s)))\/(s**0)**(3\/11))\/((s*s**(1\/3))**(2\/21)\/(s\/s**2)**(13\/2)) assuming s is positive.\nAnswer: s**(-1943\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yszysyyssssys. What is prob of picking 3 s and 1 z?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 20, 45, 80, 125, 180, 245?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 5*b - 4. Let l(v) = 2*v**3 - v**2 - v - 1. Let h be l(-1). What are the prime factors of a(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101986*y**2 - 1229*y + 36 wrt y?\nAnswer: 203972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/((-960)\/75))\/(3\/(-2))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*i - 1 + 2 = 0, 3*i = -4*g + 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*g = 3*g + 61, 0 = -4*w - 3*g + 152. Let j = -10 + w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 2. Let u be f(2). Let c be (u + (-5)\/(-1))\/1. Let d be 10 - ((-532)\/114)\/(4\/(-6)). Solve 4*g - c = d*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39715117*t**3 + 41739503*t**2 wrt t.\nAnswer: 238290702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h. Let x(t) be the first derivative of -t**2 + 199*t + 8624. What is x(m(w))?\nAnswer: -8*w + 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -22\/71?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 3:49 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**3 - 3*y - 3. What is the tens digit of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 + 2*f + 1. Let g be x(-4). Let s = 614 + -622. Does 5 divide -10*(-4)\/s*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 1\/560*t**8 + 0 - 1\/50*t**5 - 8*t**2 + 11\/200*t**6 + 4\/5*t**3 - 3\/10*t**4 - 3\/175*t**7 + 0*t. Factor u(v).\nAnswer: 3*(v - 2)**3*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20*t**3 - 4*t**2 - 13*t - 77. Let j(g) = -11*g**3 - 2*g**2 - 7*g - 38. Calculate 11*j(w) - 6*l(w).\nAnswer: -w**3 + 2*w**2 + w + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**3*t**3 - 213*c**3*t**2 - c**3*t - 11*c**2*t**4 - 11*c**2*t**2 - 4*t**4 wrt t.\nAnswer: -60*c**3 - 264*c**2*t - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 12:40 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = d + 2*m, d + 0*m = -4*m + 381 - 355 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1232, -1039, -630, 61, 1100, 2553, 4486, 6965?\nAnswer: 10056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/60 + f**5\/6 - 5*f**4\/8 - 2*f**3 + 43*f**2. Let b be n(-6). Solve b = -6*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6071 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from mrnnrxrnxnnnr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7693043*t - 162962262 with respect to t.\nAnswer: -7693043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8\/9)*n**(-2\/25)*(n\/((n*n\/n**30)\/n*n*n))\/n*n\/(n**(1\/24)\/n*n*n*n))**(-11) assuming n is positive.\nAnswer: n**(-494791\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 327 = 3*m - 108, -275 = -2*h - 5*m. Suppose q = -2*q - h. What are the prime factors of (-1)\/((-4)\/q)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -52. Suppose p*q - 8 - 55 = -4*k, -5*k - 1 = -q. Calculate the remainder when 41 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7877457 and 1995?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 274 + 52*f + 189.\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:23 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -234, 4, -7 in ascending order.\nAnswer: -234, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12120 - -12123. Factor 2\/17*r**s + 128\/17*r + 32\/17*r**2 + 0.\nAnswer: 2*r*(r + 8)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1102*j + 2. Let u be 6\/8 + (-3)\/(2*-6). Let a be x(u). List the prime factors of a\/(-20) + (-1 - 2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 45. Let f be u(17). Let b = f - -67. Suppose -n + 3*v + 56 = 1, b*v = 2*n - 111. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*u + x + 16 = 492*u, 4*u + 9*x + 157 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/13, -11\/5, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244916 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 352215248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 1, 0.1, -215, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1768071, -1768066, -1768059, -1768050?\nAnswer: -1768039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**6\/45 - 23*i**5\/18 + 361*i**4\/54 - 389*i**3\/27 + 140*i**2\/9 + 3*i + 918. Solve a(n) = 0.\nAnswer: 1, 4\/3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + (3 - 6 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -4 (c) -1\/7 (d) 4 (e) -52 (f) -2.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30)\/((-4)\/(-16))*4\/(-8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 - (6 + -8 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 + 203. Let 0*b + 1\/8*b**o - 1\/8*b**2 + 0 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 4*s - 12*s**2 - 16*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**26*z**(1\/4))\/(z*(z*z**(-1\/22))\/z*z)**17 assuming z is positive.\nAnswer: z**(-307\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 576. Suppose -2*c + 0*p + 3*p + 50 = 0, 0 = -5*c - 2*p + v. What is the remainder when c is divided by 0 - ((-1 - 0) + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**5\/9 - 14*c**4\/3 - 148*c**3\/9 - 24*c**2 - 136*c\/9 - 10\/3 = 0.\nAnswer: -5, -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3116644 - -75192\nAnswer: 3191836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/((-4)\/(-10)). Suppose -h = -2*p + 14. Calculate the greatest common divisor of p and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 - 75\/20. Let g(a) = -3*a**2 + 71*a**3 + 4 - 66*a**3 - 1 - a**2 - 3*a. Let k(o) = -14*o**3 + 11*o**2 + 8*o - 8. Determine d*k(s) - 11*g(s).\nAnswer: s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2382633*r**2 - 6*r - 1424926?\nAnswer: -4765266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 3. Suppose 0*b + 2*l - p = -b, -3*b = l - 9. Suppose 3*s - 53 = -k, 0 = b*k - 3*k + 2. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -21. Let h(k) = k**3 + 4*k**2 - k + 5. Let u be h(d). Suppose 44 = 4*g - 4*j, -3*g - j + 8 = -u. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-35)\/140)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2 - 13*b - 4. Let k(p) = -9*p**2 - 13*p - 4. Let c(m) = -3*i(m) + 2*k(m). Suppose -16*q - 6 = -70. What is the hundreds digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8816663 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -449 + 416. What is the least common multiple of k and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/(o\/(o*o**0)*o))*(o*((o\/o**24*o)\/o)\/o)\/o*o assuming o is positive.\nAnswer: o**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-5) - (-2)\/(-5). Let z = 1.7 + -2.7. Which is the closest to -2\/3? (a) -2 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 + 19012*v**2 + 22196220*v - 942279876 = 0. What is v?\nAnswer: -2397, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 79668939 to the power of 1\/2, to the nearest integer?\nAnswer: 8926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:07 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73419432 divided by 24.\nAnswer: -3059143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 - 22*i**2 - 69*i**2 - 79*i**2.\nAnswer: -181*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -299, -295, -279, -245, -187, -99?\n\"Answer: s**3 - 3*s - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h - 71*h + 849*h**2.\nAnswer: 849*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 3*d**2 - d**2 - 15 + 22. Suppose 2*s = -3*s + 460. Let x(y) = 7 - 3*y**2 + 1 - s*y + 97*y - 2. Calculate 4*g(c) - 5*x(c).\nAnswer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415219027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162718 + 162734.9938. Let i = 5 - 22. Let s = i + x. What is s rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-349)\/(-13) - 4\/(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(26)\/(sqrt(2)*-2)*3 + -3*((sqrt(13)*2)**2 + -5)).\nAnswer: 3*sqrt(13) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.3 + -27.44. What is n rounded to 1 decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Is 2030 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6*q - 278 = 4*q, 3*q + 168 = 2*j. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4) + 3 + 0. Suppose 9 + 15 = r*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*j**2 - 171*j**2 + 278*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73845410831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/5472762 and 76\/8209143?\nAnswer: 16418286","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 651000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 3, g: 8}. What is prob of picking 3 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6067 is divided by 166?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/(-376))\/(1\/20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 597.345 * -2.\nAnswer: -1194.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 2. Suppose -j + 5*j + 12 = 0, -2*k - 24 = 4*j. Give i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/((-6)\/4))\/2. Is 28 a factor of d + 58 - (-1 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkhghh. What is prob of sequence gh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134 and 172?\nAnswer: 11524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15276 and 0.1?\nAnswer: -1527.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*k + 2004*s - 2003*s, 3*s - 28 = -4*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 - 56*v - 201. Let h(y) = -12*y**2 - 168*y - 604. Suppose -7*z = -12*z - 25. Let i(s) = z*h(s) + 16*c(s). Factor i(x).\nAnswer: -4*(x + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45054 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-3))\/(1\/1). Let o = 15638.5 + -15638. Sort o, t, -0.01 in decreasing order.\nAnswer: o, -0.01, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1046573 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/240940 and 11\/17210.\nAnswer: 240940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794230581 to the power of 1\/3, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21715 + 21333.38. Let y = 378 + h. Let i = -0.22 - y. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108 is divided by 1784?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 197, 805, 1823, 3251, 5089?\n\"Answer: 205*x**2 - 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*n = 3*n - 33, -2*s + n = -77. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31444641*2\nAnswer: -62889282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 3388?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4362\/130 + (-4)\/26. Let v = r + -33. Let y = -1214 - -1213.5. Which is the second smallest value? (a) 0.03 (b) 3 (c) y (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 7*k + 8. Let h = 315 + -276. Calculate the remainder when h is divided by g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9840 and 15000?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 4555791832675.\nAnswer: 4555791832672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345 + -341 - (0 + 15 + -2)) + 62 + -3?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 0) - (-7 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39582430 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -111, -362, -861, -1692, -2939?\n\"Answer: -14*c**3 + 2*c**2 + 5*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (4 - 51\/6))*2546. Let l = t - 518. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3840266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t + 2*t**3 + 2*t**3 - 5*t**3 - 18*t to v*t**3 + x*t**2 + q + f*t and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*s - 10 + 10)*(3*s**3 - 8*s**3 + s**3 - 2*s) in the form a*s**2 + j + b*s + h*s**3 + d*s**4 and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15577 - -31054. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2614, 5207, 7800, 10393?\n\"Answer: 2593*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 2. Suppose t - 2*i = -0*t + 10, 3*i + k = t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1040\/75 + (-4)\/(-30). Let m(z) = 24 - j*z - 2*z - 78*z**2 + 80*z**2. What is the remainder when m(10) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 10.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g - 1\/120*g**6 + 83*g**2 + 23\/60*g**5 + 157\/24*g**4 + 0 + 0*g**3. What is the second derivative of l(p) wrt p?\nAnswer: -6*p + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -133*y - 3188. Let p be c(-24). Let h(q) = 2*q**2 - 8*q - 5. Let w(u) = -2*u**2 + 9*u + 6. Give p*w(d) + 5*h(d).\nAnswer: 2*d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1612 = 762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858 + 856 + 853 - 2567 - 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58, 170, 4?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 + m - 2 + 0. Let q be d(7). Let s(r) = -r**3 + 5*r**2 + 6*r + 3. What are the prime factors of s(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -1 - 29. Let y = k + -9. Calculate the remainder when 1 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 1246674.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 30?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-306)\/935 - 4\/(-11))\/((-2)\/50).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1513442 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 6:40 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -53, -61, -69, -77?\n\"Answer: -8*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8890 - 4563. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515240.\nAnswer: 2, 5, 11, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.09062 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/2, 284, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 81*l**2 + 5 - 3*l**2 + (0*l + 0*l + 2*l)*(l + 0*l + 0*l) - l + l + l**2 as b*l**2 + n + u*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:42 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohocchohcd. What is prob of picking 1 c and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3709495118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-22)*22*(-150)\/16500?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576263395 to the power of 1\/2, to the nearest integer?\nAnswer: 24005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and 49\/740.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.2 (c) 26 (d) 1\/4 (e) -48\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 - 2*h. Let b be n(3). Suppose 3*l + b = 9. Let z be (-4)\/l + 69\/12. Solve 0 = 3*g - 6*g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3621439?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34)\/4 + 0)*-16. Suppose -z = -3*j - 4*o, 4 = -o - o. Suppose 3*l + j = 243. Calculate the highest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-8) - 4\/(-16). Is 12 a factor of 56\/x*(-30)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + m + 12, -5*s + 3330 = -3*m + 3362 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 847, 1356?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose c + 2*c = -m*u + 2, -5*u + c = 12. Let o = 275 - 273. Is u less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, 1 y, and 1 b when four letters picked without replacement from btybrmtybtbb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 1. Let m = -194 - -201. Give a(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134142623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2. Let s(p) = -878*p. What is s(r(h))?\nAnswer: -878*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 16. Let d(n) = -3*n + 1. Let o(w) = -w + 1. Let k(v) = 2*d(v) - 2*o(v). Calculate k(j(a)).\nAnswer: -8*a**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13317)\/(-1035) + (-4)\/(-30). Solve 2 + 3 = 5*r, 2*r = -3*w - u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2311 + 2470. Calculate the greatest common factor of 18 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34759 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/3, -1\/10, -1\/8 in descending order.\nAnswer: -1\/10, -1\/8, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**4 + 52*h**3 - 204*h**2 + 172*h - 40.\nAnswer: 4*(h - 1)**2*(h + 5)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 8*q**2 + 2*q + 5. Determine s(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*(3 + sqrt(38)\/sqrt(2)))**2 + ((sqrt(2299)*-3)**2 - 2*sqrt(76)).\nAnswer: 76*sqrt(19) + 21095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 911320 and 5140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -451*q + 966. Let z be v(2). Calculate the greatest common factor of z and 2016.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85038.7s in milliseconds?\nAnswer: 85038700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + d - 4965 + 14256 = 0, -4*d = 0. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 85. Let r be 2 + -2 + (4202 - q\/(-2)). Let z(o) = 2*o + r - 4200. Let m(d) = -68*d. Give m(z(t)).\nAnswer: -136*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2 = 2*m + 2, 4*m + 8 = -5*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(-1 + sqrt(833)*1)**2 + (4 + sqrt(833) + 3 + (sqrt(833) + sqrt(833) + 2)*5)**2 + 2.\nAnswer: 2478*sqrt(17) + 109424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -i + 110 - 373, i - 214 = -4*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25245 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeb when three letters picked without replacement from bbziecszc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 41 and -738.32479.\nAnswer: -697.32479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209 by 73.\nAnswer: 209\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -2, 2?\n\"Answer: 4*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 44, 133, 296, 557, 940?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.55? (a) 47\/2 (b) 0.1 (c) 0.4 (d) 4 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (14 - (-330)\/(-42))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2 + 2 + (-1 + 3 + 0)*(f - 3*f**2 - f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3 + 87005*o**2 - 86970*o - 522000 = 0.\nAnswer: -2, 3, 17400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52519 + 4*((6 - 1) + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 15 = -7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345091766 divided by 1259459.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13716, -54776, -123210, -219018, -342200?\n\"Answer: -13687*p**2 + p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2. Let k(d) be the second derivative of d**3\/6 - d**2\/2 - d - 33. Determine -j(w) - 2*k(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o - a + 1634, -2*a = -3*o + 2451. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73178 is divided by 739.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414 divided by 6483?\nAnswer: 1138\/2161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261106, -522178, -783240, -1044286, -1305310, -1566306, -1827268, -2088190?\nAnswer: -2349066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 215? (a) 0.05 (b) 1289 (c) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 + 37*p**4 - 227*p**3 + 527*p**2 - 516*p + 180 = 0. What is p?\nAnswer: 1, 2, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 962454 and 15.\nAnswer: 4812270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669316289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 2200 - 450 - 5*l**2 + 2*l**2 - l**2 + 4805.\nAnswer: l**2 + 2155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**5\/60 + z**4\/24 + 13*z**2. Let u be a(1). Solve u = -5*p, t = -t + p + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 11 = -2*z. Let g be (48 - 2)\/(-2) - -2. Let s = z + g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d + 1916 + 1911 - 3827.\nAnswer: -43*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5953407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*j = 10, 14 = 4*m - j + 69. Let x be ((-50)\/m)\/(1\/18). Let u be 2\/10 - (-1788)\/x. What is the highest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 11. Suppose s = f*s - 70. Calculate the highest common factor of s and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 790*g - 796*g + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:04 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 396786061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f + 1555 = x + 55*f, -4*x - 3*f = -6234. List the prime factors of x.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*2.1594\nAnswer: -12.9564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119780, 239443, 358974, 478361, 597592?\nAnswer: 716655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 22 = 2*a, -6*a + 11*a - 5 = -5*d. Solve 0 = -3*x + a*m + 9 + 16, 3*x - m = 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/3 - 8*s**3\/3 + 2*s**2\/3 + 4*s = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318568836 divided by -401.\nAnswer: 794436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*w + 1033*w + 1481*w.\nAnswer: 2124*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 15 (c) -1\/10 (d) 0.10118 (e) -1\/5 (f) -0.041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5217704 and 1843?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20277 + 3\/(2\/(-4 + 2)). What is y rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {l: 1, x: 3, b: 2, i: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 860 = 3*z, 2*z + 0*z - 578 = 4*b. What is the greatest common divisor of z and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 163. Let q = -182 + u. Are q and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 15 = 45. Suppose -3*w = 2*w - j. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141551*n + 603*n**3 + 141580*n - 601*n**3.\nAnswer: 2*n**3 + 29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78241\/14805 + -2\/2115. Let p = -21 + 16. Let n = m - p. What is the biggest value in n, -4, -3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*y - 1180 = -38*y - 3376 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:32 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16234 - 0.3578. Round t to 3 dps.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvzvzzvvvvvvv. What is prob of picking 1 z and 3 v?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lknw when four letters picked without replacement from nqkwpll?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*82.7948.\nAnswer: 827.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879*h - 863*h = 416. Is 47 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 373? (a) -0.2 (b) -2\/881 (c) 4 (d) 0 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14993387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -73, -9, -644?\nAnswer: -644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(-73 + 73 + 7*z + (0 + 0 + 2)*(-4*z + 520 - 4*z - 524)).\nAnswer: 45*z + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1033*h**3 + 22*h - 1032*h**3 - 11*h**2 - 6 - 15 + h - 11*h**2. Determine l(21).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235070?\nAnswer: 2, 3, 5, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4 + -0.6. What is the closest to -1\/3 in 5, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3)*64\/(-48). Let c(h) = -6*h + 7. Let a(v) = 13*v - 15. Give q*a(w) + 9*c(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*c = 67, 0 = 2*v - c - 2*c - 53. Let z = v + -9. Solve 0 = -0*o + 5*o - 3*b - z, -2*b - 2 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 - 127. Let v be (-120)\/840 + ((-2)\/(-7))\/p. Let -v*b**2 - 2\/7*b + 0 = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 30352*w**2 + 6*w. Let c be g(5). Let f be -4 - (c - (5 - 1)). Let i = f - -158830. What is i rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6264)\/957*66\/18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g + 5*z + 665, -539 = -4*g - 3*z. Let c = g + 146. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 1302\/(-96))\/(6\/(-4)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 5*m - 6*m**2 - 4*m)*(-m - 2*m - 2 + 0*m).\nAnswer: 18*m**3 + 6*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 76 + 195 = -5*v + 109, 5*g = 2*v + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 8*d - 10. Let y be (-9)\/((3\/(-5))\/((-4)\/(-10))). What is the tens digit of g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 4*o**3\/3 - 4*o**2 + o - 133. What are the prime factors of c(-14)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2 + 0 = -2*x, -x - 9 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3734 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7158\/7, -3, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 31*h**3 + 14*h**2 + 14*h + 9. Let r(k) = 15*k**3 + 6*k**2 + 6*k + 3. Let c(a) = -2*b(a) + 5*r(a). Determine c(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 213, 405, 589, 771, 957?\n\"Answer: u**3 - 10*u**2 + 215*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 624.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -77*t**2 + 6*t + 9. Let k be l(5). Let z = 1083 + k. Let c = z - -5608\/7. Find the common denominator of c and 14\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5248800 divided by -164025?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3064 - 32da1?\nAnswer: -36025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7460 and 57442.\nAnswer: 574420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:23 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5387260 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*a - v, 0*v - 16 = -4*a + 2*v. Suppose 205 = a*h + 5. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*j - 3*j + 97 = 0, j = -1. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*x - 282*x + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r - 43 = 67*r - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 - 244*o - 102*o - 186*o.\nAnswer: -532*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -3b5ca?\nAnswer: -3b5d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, 1\/12, -3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 241\/6?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106695 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o**3*p**2 - 32*o**3*p + 345*o**3 - o*p + p**3 + 10103*p**2 - 25*p wrt p?\nAnswer: -18*o**3 + 6*p + 20206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10540 and 23\/112.\nAnswer: 295120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 795629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 120 - 50549\nAnswer: -50429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (60\/45)\/(2\/45)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5521 + 5524. Let n = -40 + 70. What is the highest common factor of f and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/7 + 198*i**3 + 1364*i**2\/7 - 13824*i\/7 + 11072\/7 = 0. Calculate i.\nAnswer: -692, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11721 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2. Let j(p) be the third derivative of p**5\/30 - 13*p**2. Give j(g(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 + 84*w**4 + 552*w**3 + 1192*w**2 + 1044*w + 324 = 0. What is w?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/10)\/(11 - (-555)\/(-50)). Solve j = -4*k - 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -23. Let b = -1321\/66 - -119\/6. What is the closest to 2 in j, -2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1333 - 3.1333063595. Round p to 7 dps.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(-3*sqrt(6)) - 1*sqrt(2100))\/((sqrt(112) + (sqrt(112) - -5*(sqrt(112) + (sqrt(112)*1 - sqrt(112)) + sqrt(112))))*4))**2.\nAnswer: 961\/110592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyynyyxnxyyynny. What is prob of sequence nxnx?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 125\/(-9) + (-185)\/45 + 4. Is 708*((-4)\/m + (-1)\/(-21)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j + 27*j - 4*j + 18*j in the form q*j + r and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13828319749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (504\/189)\/((-42)\/(-9)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 10. Let a be s(3). Suppose -24 = a*x - 4*h, -h - 5 + 0 = 0. Let l be (x - -14) + 3*4. Solve y = -5*q - 0*y - l, -2*q + 1 = -y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {e: 12, f: 3, w: 3, r: 2}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3 - 2*a**2 + 0*a**2 + 9*a**3 - 5*a**3 wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 11:37 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2 + 174692*u - 3143808 = 0.\nAnswer: 18, 87328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001102322 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 2, -12, -48, -112, -210, -348, -532?\n\"Answer: -o**3 - 2*o**2 + 15*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(22 + (-875)\/40).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 g when three letters picked without replacement from eekzlgslz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/16)*l)\/(l*l\/(l\/l**(-2\/7)))*(l*l\/l**2)**(-30) assuming l is positive.\nAnswer: l**(25\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 4*j**2 + 2. What is m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 17 = -2*d, -3*d = 2*n + 7 + 13. Let i = n + 1. What is the tens digit of (-2)\/(-4) - 159\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(162))**2 + -1)*5 + (-1 + (sqrt(98) - (sqrt(98) + sqrt(98)*2 + 4 + sqrt(98))))**2)*-1.\nAnswer: -1732 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134875445?\nAnswer: 5, 41, 657929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11503993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 + 316 = 4*c - 4*v, -4*v = 4. Does 48 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 6. Suppose x = -x + j. Suppose -h - x*p - 805 = -5*h, 4*p = -h + 196. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101355077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 28*a - 30*a + 33, 3*u - 3*a - 3 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 424089*p**2. Let t(n) = 2*n**2. Calculate t(r(w)).\nAnswer: 359702959842*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2\/5, 0, -479?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209172059*y**4 - 23729419*y**2?\nAnswer: -5020129416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - (-1540)\/35 - 4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - x - 3. Let c be o(2). Let l be -3 + (-2)\/c + (-3 - 0). Is -4 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*7\/((-728)\/(-39))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247750951 divided by 35392993.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -606 + -0.658527963.\nAnswer: -606.658527963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*w = 7*w - 754, -3*o + w + 1165 = 0. Let q = -363 + o. Solve 2*r + 3*k = -20, -2*r - k - q = 3*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 19, 31545, 3 in descending order.\nAnswer: 31545, 19, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1163078 litres in millilitres?\nAnswer: 116.3078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 238 - 168. Calculate the greatest common divisor of 770 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 4. Let y(v) = 3*v + 14772. What is p(y(i))?\nAnswer: -24*i - 118180","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h, 4*h = 5*u - h + 10. Let n(s) = s**2 - s + 2. Let k be n(u). Let i be ((-6)\/4)\/((-12)\/k*2). Solve -4 = -6*b + i*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k + 2*k**2 + (-1 - 7 + k + 6)*(19 - 17*k - 19).\nAnswer: -15*k**2 + 34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + c)*(-7 + 5*c + 7) + (0*c**2 + 2*c**2 - 4*c**2)*(-3 + 0 + 1).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 5 + 5 + 7*b - 4. Let w(v) = 4*v**2 + 5*v - 3. Determine 7*w(t) - 5*z(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 333304 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02705 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 - (-21)\/42\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125 or 0.2?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 - 245*w - 80. Let t be i(49). Let f be (16 + -1)*18\/10*-3. Is t at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 13. Let h(q) = q**2 - 10*q + 4. Let l be h(p). Solve 0 = -s - 4*s - l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 581, 1024, 1567, 2210?\nAnswer: 2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = o - p, -1 = -o + 3*p - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f**2 - 5*f**3 + 14*f**2 - 8*f**2 wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a microgram in nanograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601893583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3473730*k**2 - 1855612*k.\nAnswer: -6947460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 1 + 1 + 2. Let t(p) = 3 - 4 + h + 2*p. Let a be t(1). Solve -4*o = -o + 3*g + 27, -o - 17 = a*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 108 = -4*g. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14588832.\nAnswer: 2, 3, 151967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 9*i - 3294 = i. Let l = 183 + -523. Let a = i - l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168*g**4 + 2*g**3*h - g*h + 14*g - 2*h + 131 wrt g?\nAnswer: 2016*g**2 + 12*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n - 4*v = -43*n - 827, -2*v - 4245 = -5*n. Calculate the remainder when n is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15115204 + 21714796. Round p to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 5*c**2 - 8*c - 7. Let u be n(-4). Let i(d) = 3*d + 29. Let o be i(u). What is the highest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-87)\/21 + 2 + 2)*-7. Let v be ((7 - 9) + 2)*x. Solve 4*k - 2*l + 0 = -16, v = 2*k - 3*l + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62110 and 170.\nAnswer: 1055870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -919.048\nAnswer: 4595.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2715.06 months?\nAnswer: 22.6255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2855227264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, r: 1, q: 1, h: 2, x: 3, d: 3}. What is prob of picking 1 h, 1 d, and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-13 - 28) + -30 - (2 - 23)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 41 + -91 + 64 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d - 1. Let f(v) = v**3 + 10*v**2 + v + 6. Let q be (-169)\/(-91) - 6\/7. Let r(c) = q*f(c) + 6*p(c). Factor r(h).\nAnswer: h*(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 23599131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 + -237. Let i = t + 233. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.921121 + 1.919. Round c to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -24\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 829?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -36. Let z = f + 18. Which is the biggest value? (a) 0 (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 + 4.27. Which is the nearest to 1? (a) x (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Let s be (-3 - k) + 9 + 0. Let l = s - 5. Put -2, -3, l in descending order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 469975 and 263186.\nAnswer: 6579650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -359 - -370. Let g(m) = 80*m + 7. List the prime factors of g(i).\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1) + 3 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28*14\/56 - (1617\/84 - 26)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (-20)\/6. Let s be 2\/(0 + 1\/(-2)). Let v be (-2)\/s + 14\/y. Solve 0 + v = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256*a + 259*a + 694*a**2 - 450*a wrt a?\nAnswer: 1388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 - 8*w**2 + 12*w - 26. What is g(5)?\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:01 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*b - 232. Let f = b - 28. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(-5 + 9 + 5)*(0*k - k + 0*k)*(-20*k**3 + 40*k**3 - 24*k**3).\nAnswer: -144*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**3 + 4 - i**4 + 2913*i**2 - 2912*i**2 + 0 to the form n*i + l + h*i**4 + o*i**3 + q*i**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b + 11. Determine w(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 5*z + 5 = k, -1 = 5*k + z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -16. Calculate the remainder when (740\/(-26))\/((-436)\/2834) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30116 is divided by 2843.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56 + 7\/((-28)\/(-12)). Let b = 3 + d. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2532*v**2 - 5060*v**2 - 102375*v + 2525*v**2 + 102375*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**4\/8 - 19*t**3\/6 - 2*t**2 + 43*t + 277. Suppose -5*c = -20 - 20. Determine p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 15. Let l be (-6 + (-168)\/(-36))*6. Give a(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 48*b**2 - 124*b - 3671. Let l be r(-49). Let m(o) = -o. Let h(s) = -6*s + 27. Give l*m(i) - h(i).\nAnswer: 2*i - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 356 divided by 2\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n*n*n)\/(n**(-1\/2)*n))\/(n*n**(-1\/4))**42 assuming n is positive.\nAnswer: n**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2257 + 6771 - 2255 + 9*k - 2259 - 82*k.\nAnswer: -73*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36097 * -1.6867.\nAnswer: -60884.8099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5791183 is divided by 236?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -931, -2676, -6031, -11800, -20787, -33796, -51631?\n\"Answer: -134*i**3 - i**2 - 804*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-7\/2)*m*m**(-9))**(16\/5))**(-1\/5) assuming m is positive.\nAnswer: m**(184\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2131424 (base 5) to base 3\nAnswer: -1212001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128 or -8310?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1846 - -2550. Is 67 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/252 and 59\/11457768?\nAnswer: 34373304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6261 - -6674. What is the remainder when l is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r**2 + 11*r**2 - 3*r**2 + 51*r**2 + 6*r**2 - 2*r. Let c(y) = y. What is z(c(q))?\nAnswer: 77*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*g = 3*u + 4, -44 = -5*u - g. Let v(r) = r**3 - 8*r**2 + 2*r - 8. What is v(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*a = -47130, -2*a - 4953 = -3*g + 23320. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 78*r + 1941 = -16*r - 3974 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1621 - 933. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80553642 is divided by 3946.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-4)\/3)*9. Suppose 14*a = 32*a + 4212. Let n = -233 - a. Solve -f + n - r = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7248 - (-3 - 0))*-11. Let y = j + -4094. Let i = 253855 + y. What is i rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15620 = -765*u + 1475*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8663 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90.9 and 1.\nAnswer: -90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000406751 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 5*u, -5*u + 15 = 2*q - 4*u. Suppose q*h = 1548 - 516. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941209 divided by -1?\nAnswer: -1941209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1680499 - 816288. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 0*l**2 - 6*l - 4*l**2 as f*l + n*l**2 + g and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -12. Let a(m) = 2*m**3 + m**2 - m - 3. Let j be a(3). Suppose t + 3 = 2*w - 32, 3*t - j = -3*w. Calculate the lowest common multiple of w and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/3, -0.21, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and -206.3?\nAnswer: 268.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 263.571408 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31343471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -630, -2532, -5700, -10134?\n\"Answer: -633*m**2 - 3*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/3*(9 + -6). Suppose g = y + 11. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least as big as 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(18\/(-188)) + (-3)\/9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10523, 21103, 31787, 42623, 53659, 64943, 76523, 88447?\n\"Answer: 8*f**3 + 4*f**2 + 10512*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 95*l**3 + 1 - 7.\nAnswer: 95*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 780 = 7*t. Suppose 12*c = 8*c + t. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432 + 6*b + 7*b + 432.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Let d = -46 - -23. Let k = d + 47\/2. What is the closest to -1 in k, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303.447929 rounded to 2 dps?\nAnswer: -303.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/6 + 1495*b**4\/72 - 125*b**3\/9 + 5155*b**2 - 1. Factor s(w).\nAnswer: 5*(w + 50)*(6*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418952000 rounded to the nearest 1000000?\nAnswer: 419000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 9*o + 3. Let n(z) = -2*z**2 - 17*z + 7. Let y(t) = -6*n(t) + 11*u(t). Let f be y(6). Suppose 6*p - p = f. Is p smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333 less than 19142172?\nAnswer: 19140839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517 + (-1)\/(6\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 1. Let f be n(5). Suppose 30 - f = -2*c + 4*j, 2*c + 2*j = 94. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 z when four letters picked without replacement from {m: 3, z: 3, x: 1, o: 1, h: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t**2. Let a(c) = -689*c**2 + 128343*c - 128343*c. Give g(a(k)).\nAnswer: -3797768*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-7)\/175)\/(12\/(-90))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*z - 3 = -5*z, 2*z = -2*a - 18 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 9) + (-51)\/(-18). Which is the closest to 0.1? (a) 0.2 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21107740 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*n**2*w - 2*n**2 + 44*n*w + 17*n + 1847590*w wrt n?\nAnswer: -8*n*w - 4*n + 44*w + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/((-5)\/5*2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(35)\/sqrt(5) + (sqrt(7) - ((4*sqrt(112) - sqrt(7)) + sqrt(7))**2 - sqrt(7)).\nAnswer: -1795 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cb063 - 584?\nAnswer: ca7ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttegtvtvvttvvvvvvvv. Give prob of picking 2 t and 2 v.\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.8494m in kilometers?\nAnswer: 0.7918494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -5)\/((-2)\/(-10)). Let z = b + 9. Suppose 2*g = 2*r + 8, -3*r - z = -3*g - 4*r. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783431?\nAnswer: 3, 13, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893905?\nAnswer: 5, 178781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -26*k**4 - 24*k**2 + k + 45. Find the second derivative of a(d) wrt d.\nAnswer: -624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -17. Let h = 18 - w. Calculate the highest common factor of 77 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1487 + 10452. What is the remainder when u is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxmhavtvxaax. Give prob of sequence vm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 53*m - 293. Let s be l(10). Solve -s*w - 12 = -140*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -38. Let t = o - 28. Let h be (t\/6)\/(1\/10). Solve -r + h = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1082*o - o**2 + 1082*o + (5 - 2 - 4)*(-3*o - 2*o**2 + 3*o) + (-4*o**2 + o**2 + o**2)*(-8 + 2 + 3).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:29 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2 - 2)*(2*d - d - 3*d)*(6284 - 2445*d - 6284).\nAnswer: -4890*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82*(-4)\/16*-2. Let j = 52 - x. Calculate the remainder when 41 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:25 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.5, -3, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, -3, -5, 11, 61 in descending order.\nAnswer: 194, 61, 11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6 = -7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 3, 318 in increasing order.\nAnswer: -8, 3, 5, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -144*p**3 + 2204*p**2 + 450*p - 248 = 0.\nAnswer: -4\/9, 1\/4, 31\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 3606876798685 and 0.06.\nAnswer: 3606876798685.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 46*z + 370. Suppose 4 = p - 3*d, 5*p = -d + 4*d - 28. Let u be b(p). Factor 5\/4*j**u + 1 - 4*j + 7\/4*j**3.\nAnswer: (j - 1)*(j + 2)*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 535 - 35. Let p = z + -500. Solve 0*u + 10*u + 30 = p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puup when four letters picked without replacement from uundpdupuvdupd.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 29 - 114 - 10*n + 8*n. Let q(p) = 2*p. Give t(q(o)).\nAnswer: -4*o - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 5*k**2 + 3*k**2 - 2*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 10*n - 7*n - 33 = 0, 3*l = n + 53. Calculate the greatest common factor of 236 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -588 - 2*o**2 + 588 + 73*o to g + b*o**2 + h*o and give h.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**3 - 3*s**3 - s**3)*(15*s - 7*s - 6*s).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183810.8ns to microseconds.\nAnswer: 183.8108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 11*f - 5. Suppose 37*s - 20 = 32*s. Determine g(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - z + z)*(1 + 1 + 4)*(4*z + 0*z - z).\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 15 + -11 + 9 - (0 + -7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 209, 412, 615, 818, 1021, 1224?\n\"Answer: 203*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/3, 8\/85, -4\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1555.798 times -54\nAnswer: 84013.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3005 - 2997. Solve 0 = 294*z - 292*z + m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*f + 2)*(-5*f**2 + 975 + 6*f**2 - 709) to y*f**3 + x*f + q + h*f**2 and give x.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2459, -2507, -2555, -2603, -2651, -2699?\nAnswer: -2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 2*p**2 - 1. Let j(f) = -34*f**3 - 8*f**2 + f. Let n(c) = 16*c**3 + 2*c**2 - 1. Let w(h) = -j(h) - 2*n(h). What is -2*w(t) - 5*z(t)?\nAnswer: t**3 + 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 8 = -344. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*l = 16, 4*j - 2*l = -0 - 14. Let a be j + (0 - (-1)\/1). Suppose 0 = i - a*i - 2. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 5, r: 1, k: 4, c: 2}. Give prob of picking 3 c and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 428890289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3540 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54\/49 - 59\/98. Let i be (1 - 2)\/(-2)*(5 + -1). Let -v*x**i + 1\/2*x**4 + 1\/2*x**3 - 1\/2*x + 0 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -699\/14 + 28115\/546. What is the common denominator of 364\/312*(-202)\/28 and i?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 12. Let d be x(8). Suppose 21 = 5*v - d. List 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 third derivative of 28939954*j**3 + 1730*j**2 + 724*j?\nAnswer: 173639724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20346, 40119, 59892, 79665, 99438?\n\"Answer: 19773*d + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2\/15, -2, -3\/2, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -7. Let n = k + -5.6. What is the second smallest value in 2\/13, n, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -111*x + 1. Is f(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-13 + 2107\/161)\/(-12 - -10).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 3. Let q(b) = -b - 2. Give 4*g(i) - 5*q(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6906946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*f*j*t + 2*f*j + 34*f*k*t**2 + f*t**2 + 4*j*k*t - j*t**2 + k wrt j.\nAnswer: -16*f*t + 2*f + 4*k*t - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:53 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/5, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3380407 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 8*q - 3. Suppose -5*c + c + 28 = 0. Let k be p(c). Suppose 13*w - 11 = 14*w. Is w less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**8*y*(y*y*y**(2\/35)*y*y)\/y*y**0*y*y**(-15\/2) assuming y is positive.\nAnswer: y**(389\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = n + 65*o - 60*o, -4*o - 44 = 12*n. Let x be 2*(-1 - (-24)\/26). What is the nearest to -3 in n, 4, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330448757 is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -10. Let o(q) = q**3 + 2*q - 3. Let a be o(f). What are the prime factors of (-6)\/a*3 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 6*k - 2335*k**2 + 2661*k**2.\nAnswer: 326*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + 0) - (-5 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3546 + -3361. Calculate the remainder when b is divided by 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*(64\/72)\/(-4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 9*j - 1224 = 0. What is the greatest common divisor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/23 in -6, -0.5, -1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 12a3?\nAnswer: -12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**3. Let g be q(-1). Let r(n) = -8*n + 6. Let i be r(g). Let p be ((-4)\/10)\/(5\/i). Solve p*y + 0*y = -12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379 + 125. Let x = 398 + b. Calculate the remainder when x is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 - 87*y + 3*y - 68*y. Let d = 12479 + -12492. Is n(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose -30 = -2*b + 2*o, 4*o + 1 + k = -b. Let u(r) = 3*r - 11. What are the prime factors of u(b)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -334 + 334 + 36*h - 95*h as b*h + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2 - 2632*x + 865928 = 0.\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(3\/45)\/(36*(-11)\/220)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111010000101010111010 - -11?\nAnswer: 101111010000101010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119 - 117) + (2 - (-22 + (1 - -1))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from irlvlllluvvlllullul.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 30*y = -860. Let x = y - -514\/3. Is x bigger than -100\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 7*l - 2*l - 11*l to the form a*l + i and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1278 - 1124. Calculate the highest common divisor of 21 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 87\/7 - (-24)\/(-56). What is the common denominator of 5\/24 and ((-2)\/(70\/(-115)))\/(k\/(-7))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 2*i - 1\/2*i**4 + 0*i**2 + 0 + 0*i**3 + 0*i**5 - 1\/10*i**6. Find the third derivative of p(j) wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-1 - -1) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320 - -188. Let c = -94 + i. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289 - -303. Let r = k - -165. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 + 229\/7. Let f be (-1880)\/(-2) + 4186 + -4235. Calculate the highest common divisor of f and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020101111 (base 3) to base 12.\nAnswer: 21587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210\/(-52)*((-33)\/55*12\/9)\/1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 61 = 25. Let w = m - -70. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in -5, -1, 0.4, 0.049?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (0 - 4) - 1. Let v = 4.03 - 0.03. Which is the nearest to 0? (a) v (b) f (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 482 and 1249344?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -0.1, -263, -0.067, 81 in descending order.\nAnswer: 81, 5, -0.067, -0.1, -4, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -38136744?\nAnswer: -38136727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/33 + (-14)\/(-6). Suppose o - 3*c + 4*c = 4, -20 = -2*o + h*c. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 1. Let m be a(3). Let u(o) = -o**2 - 7*o - 7. Let i be u(m). Solve -z - 13 = -i*g, 0 = 5*z - 4*z - 4*g + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 7. Let l be (-2 - -1)*1*a. Let v = 6 - l. Is 6 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24598 - 24598 - 1079*n**2 + 1076*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1823\/11 - 165. Let t = -530 + 5838\/11. Solve -6\/11*f**2 - 2\/11 - t*f**3 + y*f**4 + 8\/11*f = 0 for f.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8060308 - 343*p**3 - 8060308.\nAnswer: -343*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 941 = -3*n + 872, -2*s - n - 3*n = 84 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 g when four letters picked without replacement from ssigsgsisyyxgxsisgig.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {t: 1, e: 2, u: 1, n: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -4 - 4 - (3 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-60))\/(18\/(-45)))\/((-25)\/1650).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2195*2.98\nAnswer: -6541.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*k**5 - 129*k wrt k.\nAnswer: 3640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008072 to 7 dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 - -79. Let j = 57.0000296 + s. What is j rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103111373.\nAnswer: 47, 661, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -249 divided by 20836\nAnswer: -249\/20836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3038370 (base 9) to base 8\nAnswer: 6134260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*r**3 - 264452*r**2 + 170494*r + 94048 = 0 for r.\nAnswer: -2939, -16\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4710481603 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(((-3)\/4)\/(429\/88)). Suppose 5*b + q = -2. Let f be (6 + -30)*(13\/b + -1). What is the greatest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 - 2) + -10)\/(-2). Suppose -27*g = 102 + 60. Let z be 8\/g - (-76)\/12. Sort z, x, 7.\nAnswer: x, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1320, -2726, -4132, -5538, -6944?\n\"Answer: -1406*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-56) - (-78)\/21. Suppose -2*m - 15 = -b + 1, 0 = 2*b - 5*m - 35. Let z be (12\/b)\/((-3)\/(-10)). Solve -2*d + p = 3 - z, -7 = -5*d + x*p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 5*r + 17. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1008, -1648, -1922, -1830, -1372, -548?\n\"Answer: 183*v**2 - 1189*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*v + 8880, -3*b - v - v = -6660. Determine l, given that -b*l**3 + l**4 + 9*l**2 + 0*l**2 - 4*l + 2214*l**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/(27\/(81\/(-6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -344*v**4 + 5316*v**3 - 6632*v**2 - 5136*v - 224 = 0.\nAnswer: -1\/2, -2\/43, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -95099\/2 at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1699 - 481 = 10*m. Let v = m - -409. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 182631208497 and -0.0189.\nAnswer: 182631208496.9811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 611*s**5\/20 - 371*s**4\/12 + 36*s**2 + 15*s. What is the second derivative of g(n) wrt n?\nAnswer: 3666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:58 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000375526974 to 7 decimal places.\nAnswer: 0.0000376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 9792*d**2 + 15976170*d + 8686356300.\nAnswer: 2*(d + 1605)**2*(d + 1686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1869840, -1869876, -1869910, -1869942, -1869972, -1870000, -1870026?\n\"Answer: j**2 - 39*j - 1869802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2958\/(-1162) - (13 + -16). Let w = z - 97974\/23821. Let u = 1957\/328 - w. Calculate the common denominator of -81\/28 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18120909 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 201970000 = -7*y. Round y to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2619 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 242.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-117\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k**2 + 3*k + 95*k**4 + 93*k**4 - 233*k**4 - 53*k**3 - 34*k**3 - 11*k**2 = 0.\nAnswer: -1, 0, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -812355144 divided by 4.\nAnswer: -203088786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135 - 147 - (-5 + 14 + -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 at least 2358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96974 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14856228 to the nearest integer?\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 4. Let i be 4 + 210\/(6 - -4). What is the greatest common factor of v and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240\/253 - 26\/23. Which is the smallest value? (a) v (b) -2\/5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 7*c**2 + 8*c + 2. Let n be z(-5). Let r be 16*(44\/(-16) + 3). Suppose 0 = r*p - n*p + 16. Solve 0 = -b + p*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/13))\/(a**(9\/5)*a) assuming a is positive.\nAnswer: a**(-107\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 8:02 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(((-4)\/(-3 - -2))\/(-2)). Solve q + 8 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2715015 divided by 5.\nAnswer: -543003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 56*c - 13. What is q(28)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1120\/30)\/(-16)*(-3)\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 2, -4, -10, -16, -22?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5 + 12*y**4 + 38*y**3 - 32*y**2 - 120*y - 64 = 0. What is y?\nAnswer: -2, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. What is the third derivative of f**3 - f**2 + f**3 + 3*f**n - f**2 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15074 + -14932. Calculate the greatest common factor of i and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38806019 + 2?\nAnswer: 38806021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*-1)*3 + (sqrt(84) - sqrt(84)*2*-1 - sqrt(84)))\/(6*sqrt(24)\/sqrt(2) + 1*sqrt(192)).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -20*c + 16. What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k + 13 - 13)*(-2 + 5 - 1)*(7*k**2 - 4*k + 4*k) in the form b*k**2 + v*k**3 + m*k + i and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27c + -90?\nAnswer: -33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90209?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1432 - -1446. Solve -3 = -17*j + f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-2)\/sqrt(4) + (1*sqrt(204) - sqrt(204) - sqrt(204))\/sqrt(12))**2 + -4.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - s**3 + 4 - 2)*(-5*s - s + 3*s)*(-2*s + s + 3*s).\nAnswer: -6*s**5 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**2 - 57*r**3 - 5*r**3 - 46 - 58*r**3 + r**2 - 79*r**3 wrt r.\nAnswer: -597*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + 3. Calculate y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 - a - 825. Let n be p(0). What is the tens digit of (1*-1*1)\/(15\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 9\/2*b**2 - 7*b - 1\/3*b**3 - 2. Is c(7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3 - 1 + 16 + 7*d - 12. Let x(r) = 3*r**2 - 13*r. Determine v(x(f)).\nAnswer: 21*f**2 - 91*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 10*x + 15. Let p be t(11). Suppose -4*a - 2 = -2*a. Let h be (-47)\/a + 3*-1. Calculate the greatest common divisor of h and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1878.04*12.\nAnswer: 22536.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 80. Suppose 56 = 4*b + 2*o, 3*o + t = 3*b - o. What is the first derivative of 2 - 11*p**4 - 4 + b*p**4 wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.6 - 4893.\nAnswer: -4869.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -3, 40, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 10. Let t be v(7). Let k be 1*3 - (t + -5). Let i = -45832.1 - -45832. Which is the third biggest value? (a) i (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**5 - 115*x**4 - 250*x**3 - 10*x**2 + 245*x + 125 = 0.\nAnswer: -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*15\/6*6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**3 + t**2 + 2*t + 1. Let n be r(-1). Suppose 5*p - p - u - 2 = 0, -3*p = -4*u + n. What is the common denominator of -97\/4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 501*g**3 - 1048*g**2 + 4*g - 4. Let n(f) = 504*f**3 - 1047*f**2 + 5*f - 5. Let v(z) = 5*h(z) - 4*n(z). Find the third derivative of v(p) wrt p.\nAnswer: 2934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/1185 + 6431\/9480. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2)\/(-2)*-8. Let q(f) = -f**2 - 3*f - 1. Let x be q(v). Let a(p) = p + 12. What are the prime factors of a(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276 divided by -252?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -5329*m**6\/2 - 560421*m**5\/5 - 5194473*m**4\/4 - 1634537*m**3 - 128520*m**2 - 3468*m - 56. Suppose s(r) = 0. Calculate r.\nAnswer: -17, -1, -2\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnjsnwnwjnnwwnwnnww. Give prob of picking 2 n and 2 w.\nAnswer: 336\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 14*y - 42. Suppose 0 = 56*t - 54*t + 34. Let q be o(t). Solve -4 = -q*n + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 + (-172)\/(-36). Suppose -4 = -n - 4*o, 3*o + 2 = n + i*o. Suppose n = -3*t - c - 79 + 441, -2*c + 4 = 0. Does 58 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9)*(13 + 24\/(-6)). Solve -j + 5*q = 2*j - 23, s*j - 2*q = 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**7\/147 - 2*t**6\/105 - 2*t**5\/35 + 4*t**4\/21 + 74*t. Factor o(q).\nAnswer: 2*q**2*(q - 2)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 + 129. Calculate the smallest common multiple of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 3*b**7\/70 + 11*b**6\/20 + 11*b**5\/4 + 13*b**4\/2 + 6*b**3 - 68*b**2. Factor k(t).\nAnswer: 3*(t + 2)**2*(t + 3)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.2 + -28.2. Which is the second smallest value? (a) u (b) -0.4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Let k be -2 + h - (-10)\/2. Suppose 4*w - k - 1 = 0. Solve 5*r - 3*r = 3*m + w, 0 = -5*r - m - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) -0.1 (c) -1\/2 (d) 0.1 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1\/7 (c) 9\/11 (d) -5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3774.68369 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345 + -342. Solve -13 = -2*z - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211012110 (base 3) in base 15?\nAnswer: 4be0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.8 (b) -5 (c) -4\/5 (d) 5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*w + 299 = 169*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 13805*k = 0 for k.\nAnswer: -2761, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 5:59 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -96, -189, -330, -525, -780, -1101?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*(-90)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -25. Let b be (-5)\/(-1)*16\/s. What is the tens digit of (62\/b)\/((-1)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*k = -6*k - 124*k + 8352 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/319 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e4 + 2cb?\nAnswer: 6af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2323850 * 0.01\nAnswer: 23238.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1103?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155890 and 336770?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11 = 61. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - 2\/1)\/(465\/(-558)). Solve 4*p + 18 = t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 8. Suppose -5*a + 5 = 0, -6*a = 3*w - 2*a - 10. Suppose 4*m = 8, c*b - 57 = w*m - 13. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.79999901 + -18.8. Round f to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 4*i - 1. Let a(v) = -2*v**2 + 3*v + 1. Let t be -2*2\/(-6)*(-90)\/20. Calculate t*r(b) - 4*a(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 2*k - 4 = -21*b, k + 9 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2400 = -13*f + 2361 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-918)\/(-189))\/(((-2)\/60*-6)\/(77\/330)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 28 = 3*j, 3*w + 2*w = -2*j - 32 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 314281479 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times 4.98?\nAnswer: 413.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-22)\/4*10*89\/2670.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 20. Let i = j + -8. List the prime factors of ((-6)\/(-8))\/(i\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15357 + 0.0691\nAnswer: -15356.9309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 98 = 9*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24982420 rounded to the nearest 100000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(6\/20*(-9)\/((-378)\/35))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 637187769 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5079 + -5068. Let o(f) = 3*f - 11. Give o(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.13, 46, 3\/2, -305.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 148, 147, 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Let q(r) = 5*r**2 - r. Let d be q(-1). Suppose d*k + k = 28. Let y(t) = -17*t + 12*t + k*t. Calculate y(v(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/7*(-22)\/33. Put q, 0.3, -4 in descending order.\nAnswer: 0.3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583318965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose 53*w + 72 = 61*w. Let x = w + -14. Which is the second smallest value? (a) x (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585900333.\nAnswer: 3, 149, 436913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036744152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 20*j + 83 - 20 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, k: 3}. What is prob of sequence okk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l*l\/(l\/l**(-9))*l*l))\/(l*l**(-8))*l*l**(2\/9)*l*(l*l*l*l\/l**4*l)\/l)**11 assuming l is positive.\nAnswer: l**(1606\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 11}. Give prob of sequence aa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f*z**5 + f*z**2 + 4*f*z - 221*f - z**3 + 2*z wrt z.\nAnswer: -80*f*z**3 + 2*f - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2 + 2)*(3*i**2 - 3*i**2 + i**4) + 933*i**5 - 4499*i**5 - 944*i**5.\nAnswer: -4508*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/35 and (-622)\/(-595) - (-11)\/(220\/(-12))?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55535954*k**2 + 43142049*k wrt k?\nAnswer: 111071908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*(-5*sqrt(272) - sqrt(272)))*-5*2)**2 + -5.\nAnswer: 14400*sqrt(17) + 980095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d904 + 18f6?\nAnswer: f1fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 517 + -516.8. Which is the closest to l? (a) -0.4 (b) 0.3 (c) 1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 2. Let h be c(-1). Solve 0*j**2 + 1\/4*j**4 + 0*j + 0 - 1\/4*j**h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/32698 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25251 - -25264. Let m = -3 + 4. Let j be m - -5*(5 - 0). Calculate the greatest common divisor of q and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -52.1. Let i = r + -16. Let t = -0.02 - 2.98. Which is greater: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/3)\/g)*g*g**(-2))\/(g*g**(-5\/4)*(g\/(g*g**2\/g))\/g) assuming g is positive.\nAnswer: g**(43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, k: 6, f: 2, b: 4}. What is prob of sequence okko?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23561405 and 20825?\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 9*s + 1. Calculate the least common multiple of 11 and u(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5317753 and 6077432.\nAnswer: 42542024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 4*t + 1. Let n be i(5). Let c be (n\/10)\/(2\/20). Does 3 divide ((-5)\/c)\/(1\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -59317*m - 1720196. Determine l(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 15*d**2 - 20*d - 84. Let v be r(-10). Let z = v - 1548. What is the greatest common divisor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 12:24 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.15827ml in litres?\nAnswer: 0.05115827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 10:58 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024853784?\nAnswer: 2, 3, 42702241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -1\/12*g**4 - 3*g**2 - 1\/3*g**3 + 0*g + 0. Does 3 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*l = 1625066, -5*w - 15*l - 2708445 = -20*l. What is w rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -779, -755, -731?\n\"Answer: 24*l - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:15 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1783\/4 + -2644197\/5932. Let g = -102319\/5932 + j. What is the common denominator of g and 24\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m - 4*m + 2*m)*(-2 + 1 + 3) - 6 + 18*m + 15 + 6*m)*(3 - 3 + 3).\nAnswer: 66*m + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.157 (c) -240676\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -54*k**4 + 72. Let q(y) = -539*y**4 + 721. Suppose -7*a = -8*a + 2. Let z(s) = a*q(s) - 21*h(s). Differentiate z(m) with respect to m.\nAnswer: 224*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y, -3*y - 188 = -2*t - y. Let g(x) = -45 - 48 + t + x. Let u = 4 - -2. Let m(i) = -5*i + 6. Determine u*g(s) + m(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -4 (c) -3\/5 (d) 4 (e) 417\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g**3 + 18*g + 77. What is the tens digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(55)\/(sqrt(20)\/sqrt(4)))**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5627?\nAnswer: 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 + 103?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6762*f + 3402*f = 5947*f + 62698 + 21065 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 613, 1212, 1797, 2362, 2901, 3408?\nAnswer: 3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 2. Let u(a) = 32*a**2 + 76*a - 3. Determine g(u(c)).\nAnswer: 32*c**2 + 76*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 122 = -25*f + 112 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.052, 1, 9, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2615317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**7\/105 + p**6\/36 + 7*p**5\/270 + p**4\/108 + 19*p**2. Determine l so that o(l) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*q + 8 = -4, 4 = -3*a + 5*q. Let c be -4*(-2)\/a - -2. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 438?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 3*r + 2. Let q be x(-2). Suppose -4*k + 2*s + 36 = -28, 3*k + 4*s - 37 = 0. Solve k = l + q*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglllllggl. What is prob of sequence gg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27915 take away 211.3383082?\nAnswer: 27703.6616918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*m + 3)*(-122*m - 289*m**2 + 288*m**2 + 740*m) to the form s*m**2 + t*m + n*m**3 + r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20693 to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + w = 1, -5*w = 3*q - 10*w + 37 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhh when three letters picked without replacement from hjnhnjjjnn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - 2*sqrt(95) - sqrt(95)))*6)\/(5*sqrt(5)*3) - ((-3*(sqrt(1900) + -1))**2 + 2 + (5 + sqrt(76)\/sqrt(4))**2).\nAnswer: -17155 + 856*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(42\/11)*x)\/x**(1\/16))\/((x\/(x\/(x\/(x*x\/x**(-11)*x))*x))\/x*x**(9\/7)))**(2\/23) assuming x is positive.\nAnswer: x**(22755\/14168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 56 = 4*o, -5*r + 4*r = 4*o - 36. Let z(x) = x**3 - 1 - 2*x**3 + 16*x + 3 + 2 - 15*x**2. Calculate the smallest common multiple of z(-16) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*j + 4*j. Let g(w) = -5*w**3 + 15*w**2 - 28*w + 21. Let i(p) = -3*p**3 + 7*p**2 - 14*p + 11. Let h(s) = 4*g(s) - 7*i(s). Is h(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50965, -55511, -60057, -64603, -69149?\nAnswer: -73695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 76. Suppose -4*y - 39 = -171. Let u be 4\/3 - y\/h. Solve -5*s - 3*z - 28 = 0, 5*z = 4*s - 2*s + u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017933 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, 58, -4, -5, -7, 17 in descending order.\nAnswer: 58, 36, 17, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 215 and -11.\nAnswer: -2365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, l: 13}. What is prob of picking 2 n?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from yooolooooyyyyy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4 - 912*h**3 + 3*h - 2*h**2 - h**4 + 4*h**4 + 9*h + 900*h**3 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -137, -2\/3 in decreasing order.\nAnswer: -2\/3, -22, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783 smaller than 398169\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5.4. Let f = 0.046 + 12.454. Let q = f - 11.5. Is o > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*i + l, 0 = 3*i - 2*l - 2*l - 30. Calculate the lowest common multiple of i and 15*1*8\/12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20254 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -7\/6*o**3 + 1\/20*o**5 + 2*o - 2*o**2 + 1\/3*o**4 + 0. Give j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -1380830?\nAnswer: 1380835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352 + 356. What is the second derivative of 13400 + 128*l - 13400 + 79*l**f wrt l?\nAnswer: 948*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 916, 960, 1004, 1048?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4.7. Let i = b + 0.1. Let v = -0.6 + 0.5. What is the closest to 1 in 5, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 4*r - 3*r, -3*o + 2*r + 6*r = 10*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, v: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1998 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f + 1583143 + 2609279 = 0. What are the prime factors of f?\nAnswer: 59, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 + -83. Let l be (-15)\/z*0\/(-3). Solve -w + l - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + (-53 - -56) - (2 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2972, -11888, -26746, -47546, -74288, -106972, -145598?\nAnswer: -190166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3147795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 less than 81?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6 - 4 + 0 - 8*j. Let k(z) = 17*z - 4. Let y(q) = -7*a(q) - 3*k(q). Let t(w) = 24*w - 10. Calculate -3*t(g) + 14*y(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (18 - 60 - -83)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, c: 3, k: 1}. Give prob of sequence ck.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*d - 15 = 111*d + 5*h, -2*h - 6 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22744335, -22744330, -22744323, -22744314, -22744303, -22744290, -22744275?\n\"Answer: j**2 + 2*j - 22744338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -7 - 0) + (12 - (6 - 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -9) + 2 + 8. Let y be (-1 + 3)*(v + 0). Let d = -18 + y. Solve 2*q + 8 = -5*l, 4 = -2*q - 2*l - d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068276 a multiple of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 6\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2795877 by 4931.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1)*(-30)\/12. Suppose -x + 2*p = -4 - 49, -5*x + r*p = -245. Calculate the remainder when x is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -119.4. Let g = -9.2 - v. Let k = -0.03 + 0.43. Which is the nearest to g? (a) 1\/9 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4533 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccqpqpcc. Give prob of picking 2 q and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 8*d - 10. Suppose 5*j = 7*j. Suppose -3*s + 23 = -8*s - z, -s - z - 7 = j. Let i be g(s). Solve -i = -4*o + 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*j - 0*q + 3, -q - 7 = 5*j. Let h(o) = 2*o**2 + 5. Let u(v) = 1. Determine j*h(a) + 5*u(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (-47 - (25 - 45)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11492947*x**3 - 9265705*x.\nAnswer: -68957682*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -12213130133?\nAnswer: 12213130131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + 1 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, w: 2, r: 1, p: 2}. What is prob of sequence wrw?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m - 1. Suppose -4*h = -8 + 4. Calculate the least common multiple of h and v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -3 (c) -2\/13 (d) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -920 + 926. Let m(x) be the second derivative of 2\/5*x**2 + 0*x**4 - 1\/50*x**5 + 1\/5*x**3 + g*x + 0. Factor m(y).\nAnswer: -2*(y - 2)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3314.58t to grams.\nAnswer: 3314580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*v + 179217, 4*v + 35837 = 4*g - 203135. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 19*h - 9. Let w be q(18). Let i be 4\/10 - (-86)\/10. What is the greatest common factor of w and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.07, -5, 21\/47, 13\/9, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1*4\/(0 + 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -44164 = -44158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -22*m**2 - 4. Let a(p) = 550*p**2 + 99. Let d(z) = -z**3 - 3*z**2 + 18*z + 52. Let o be d(-4). Determine o*a(c) - 99*y(c).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3542314 (base 6) to base 11.\nAnswer: -116752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 279 (b) 5 (c) 0.1 (d) -5 (e) 2\/25 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-5)\/(-2))\/5)\/((-3)\/(-12)). Let n be 2*13 + 2\/(-1). Suppose 5*m - n = m. Solve m = -2*o - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:05 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c**3 + 19*c**3 + 101*c**3 + 15*c**3 - 4*c**3)*(2*c - 6*c + 5*c).\nAnswer: 144*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/5 (b) 16\/7 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -44571.\nAnswer: 11\/44571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00102648758 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 14*a + 350 = 0. Suppose 0*u + 5*q + 168 = -u, 3*u + 474 = -5*q. Let x = a - u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6041 - 5979. Are 36 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*((sqrt(252)*-1 + -1)*3 - -5*(sqrt(28)*-2 - sqrt(7))*3))**2.\nAnswer: 1674*sqrt(7) + 181656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1536\/180 + 3591\/945.\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8455 - -b0?\nAnswer: -8365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21035437 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(2\/5)*c))**48)**(-37))**(-2\/3))**(4\/7) assuming c is positive.\nAnswer: c**(-9472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 24. Solve -g*v + 6 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**2 - 2*p**3 - p**2 - 4*p**2 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -276, 563, 4.\nAnswer: -276, 4, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20611, 28335, 36059, 43777, 51483?\nAnswer: 59171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 19*b + 49 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - -5 - (-16)\/6. Let w = 21 + -13. Suppose 0 = l - 3*z - w, -3*z - 11 = -l + z. What is the nearest to -1\/2 in l, v, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23433 and 83.\nAnswer: -1944939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035129225 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2408, -5, -7, 4, 5 in ascending order.\nAnswer: -7, -5, -3, 4, 5, 2408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4797 = 170*t + 122*t + 77*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 23*o + 13. Let i be w(2). What is the greatest common factor of i and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 1. Let p be (-4)\/(-8) + (-18)\/(-4). Suppose 4 = -2*y + p*r + 11, -22 = -4*y + 2*r. Let f = y - 3. Give b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123571519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/d)**(-9)\/(d\/(d**(-8)\/d)*(d\/(d**3*d))\/d) assuming d is positive.\nAnswer: d**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t - 4287 - 4396. Let d = -445 - t. Calculate the smallest common multiple of 238 and d.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4, 0 = a + 2*s - 3*s. Let m(b) = b**3 - b**2 - b. Let w be m(a). Which is smaller: 10\/11 or w?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3133022 - 144?\nAnswer: -3133221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*o - 7, -y - 17 + 12 = 5*o. Solve 2*l + 4*f = 2*f, -y*l - f = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205686 and 1144026.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 223?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 137\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v + 18. Let g be t(2). What is the closest to -1 in 11, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/48861134 and -13\/28.\nAnswer: 97722268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102113610.\nAnswer: 2, 3, 5, 47, 72421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 201 + -269 + 4 + 0 + (0 - 1 - -7)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 397*((-190)\/600)\/19 - (1 - 6) and 82\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1049 + 1053. Solve 0 = -l*m - m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is the first derivative of 728241085*c**2 - 121501233 wrt c?\nAnswer: 1456482170*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6212 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 9447130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwjw when four letters picked without replacement from wwjgdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 34\/(-4))*4\/(-6). Suppose -10 = 5*f, -2*j + r*f = -7*j - 11. Is j\/8 + (-4690)\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42476 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11521 - 357103\/31. Is 3 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39096 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8.76 * 0.3\nAnswer: -2.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2489, -10286, -23391, -41804, -65525?\nAnswer: -94554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96405\/4 + 24102. Which is the third biggest value? (a) 0.5 (b) -0.04 (c) 5.74 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 144.22416 nanoseconds?\nAnswer: 0.000000002403736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924, -361, -2474, -5409, -9160, -13721, -19086?\nAnswer: -25249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (77\/(-616))\/(2\/(-16)). Suppose -l = v, -l = -i - 6*l + 1412. What are the prime factors of i?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 8*y + 8. Let h be v(6). Let q = -0.09 + 11.09. Let u = q + -11.1. Which is the closest to -1? (a) h (b) u (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -6 + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 740736307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4058*-0.05864.\nAnswer: -237.96112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 101523268 = -5*x, d - 5*x = -4*x + 101523276. Let y = -3450933535\/34 + d. Let o = y + -25235. Calculate the common denominator of 97\/2 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19940304.\nAnswer: 2, 3, 43, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - y. Let o be b(1). Suppose 0 = -3*n - 5*x + 18, n + 5*x + 1 - 7 = 0. What is the remainder when 3\/((9\/(-10))\/o) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4.9. Let t = -5.1 + g. Suppose 0 = -4*o + 3*w - 18, 2*o + 27*w - 18 = 24*w. Which is the closest to o? (a) -2 (b) t (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {z: 1, y: 2, o: 1, p: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194869892?\nAnswer: 2, 7, 23, 302593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 546404753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 64376.07 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2\/3 - 54520256*a\/3 - 18173420 = 0 for a.\nAnswer: -1, 13630065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25795 + -16200. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 4*j + 2*j - 7*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s + 116 = 0. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) - sqrt(112)\/(sqrt(14)\/sqrt(2) + sqrt(7)) - sqrt(16)) + sqrt(16))\/(sqrt(96)\/sqrt(48)) + -4)**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*1\/5 - 6404648\/(-340)?\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -48, -83, -118, -153, -188?\n\"Answer: -35*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5392 and 152998.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**5*w - 2*h**5 + 18*h**3*w - 3*h*w - 89*h wrt h.\nAnswer: 120*h**3*w - 40*h**3 + 108*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**2. Suppose 2*j + 162 = 4*n, -98 = -3*n + 5*j + 27. Let w = n + -24. Let g(m) = 2*m**2 + w*m - 16*m. What is g(p(q))?\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 - 65*j - 60 = 0. What is j?\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1439036, 1439045, 1439054, 1439057, 1439048?\n\"Answer: -u**3 + 6*u**2 - 2*u + 1439033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 459 = 207. What is the hundreds digit of (-10840)\/(-18) + w\/(-189)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2541 and 131.\nAnswer: -332871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - (-3 + (-96)\/23). Let q = 74\/161 - y. Let j = 0 + 0.1. Which is the biggest value? (a) -1 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 1. Let w(l) = -l**2 + 18*l - 20. Let f(t) = -4*i(t) - w(t). What are the prime factors of f(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.1892949 minutes to days.\nAnswer: 0.002214788125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - 0) + (4 + 1 - 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80891 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -6 (b) -148 (c) 0.3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + i + 9, -37 + 58 = -2*g - 3*i for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/2? (a) 0 (b) 17 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 18. Let z = u + -17. What is the tens digit of (-406)\/(-14) - z*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154, 137, 120, 103?\n\"Answer: -17*l + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 5*5\/(-25) - -17*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/18750 and 22\/971875?\nAnswer: 5831250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -14. Let p be 2\/(-2)*(2 + r). Is 2\/5 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 48 + 176. What is the third derivative of -11*n**3 + j*n**2 + 37*n**4 - 121*n**4 + 11*n**3 wrt n?\nAnswer: -2016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b79c (base 15) in base 14?\nAnswer: -2486c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z, 2*z + 7 = 317*b - 310*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w + 148 = -27*w - 26 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.02, -5, -154, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -14. List the prime factors of -3 - t\/(-2)*-38.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u - 9. Let b be 93\/5 - 28\/(-70). Let a = 14 - b. What is the remainder when f(a) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*s - 64. Suppose 2*h = -h - 4*g - 14, -s*h - 3*g = 15. Let q(v) = -3*v + 1. Let j(r) = -9*r + 3. Give h*j(i) + 17*q(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1255847658 divided by 6.\nAnswer: -209307943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001689662077 rounded to six decimal places?\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -150429, 11 in decreasing order.\nAnswer: 11, 4, -150429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/3*(-201)\/58. Let c be 2 + ((-1264)\/58)\/4. Let o = c + g. What is the common denominator of 25 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62270514?\nAnswer: 2, 3, 3459473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2427 + 2555. What is the least common multiple of w and (1\/3)\/((-3)\/(-18))?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 640677 divided by -3\nAnswer: -213559","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90 + -336a9?\nAnswer: -33619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -6) + 1*-8. Let b be -1*(3*(-2)\/h + -412). Suppose 0 = 5*x + u - 386 - 21, 3*u = -5*x + b. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 1)*(-5*u + 2*u + 2*u) + 2*u + 0 + 0.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c - 132. Let a be d(9). Let w(y) = y**2 + 5*y + 4. Let z be w(-4). Let n be (z\/(-2) - 2)*-1. Solve -r - a = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/6 - 4*z**3\/3 - 8*z**2\/3.\nAnswer: -z**2*(z + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 14*w**2 - 62*w - 57. Give c(-8).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*d - 18 = -5*d, -2*n = -4*d - 26. Solve 0 = -n*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 8, 10, 16, 26, 40?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 2*s + 4. Let i be (-38)\/(-4) + 12\/8. Suppose -2 = 4*g + 2*p + 12, i = -4*g - 5*p. What is u(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*282852\/5820*-5\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 + 2*k**2 + 52*k + 24. What is a(4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5*j - 52*c**3*j**2 - 10*c**2*j**2 - 7*c wrt c.\nAnswer: -60*c**2*j - 312*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + -4)*88\/10. Let r(w) = -4*w + 22. Let y be r(-5). Let a = h - y. Calculate the lowest common multiple of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (6 - (-1 - 4)) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:41 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 30. Suppose 0 = 10*n - h*n - 56. Let 6*b + n - 17 - 3*b**2 + 12 = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(((-160)\/(-10))\/64)\/(3\/24)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69990 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -m - 4*p - 6, 4*m + 22 = -2*p. Let x be 1\/m - (-104)\/48. Solve -x*t = 5*a - 17, -3*a = -2*a + 2*t - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 8*i**2 + 10*i + 4. Give j(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25826 - -25827. What is the fifth smallest value in w, 3\/14, 5, -0.2, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 + 10567*x - 31663*x + 10570*x + 10730*x to h*x + d and give h.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 501294.\nAnswer: 1503882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1923 - -1962. Which is the closest to -2\/3? (a) -0.3 (b) r (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqiqpiqcpqqmiiii. Give prob of picking 1 m, 1 c, 1 q, and 1 p.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2191, -8211, -18067, -31759, -49287, -70651, -95851?\nAnswer: -124887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (0 - 1 - 2) + 0 - -141.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*s = 2799, 4*i - 5*s + 0*s = 3701. Let g = -218 + i. List the prime factors of g.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 294281179 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 12. Suppose 2*f = -y + 12, -3*f + 29 = 3*y - 19. Suppose 0*x + 4*x = y. Is x bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19040\/12920)\/(150\/855)?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 40\/(-96)*22?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104989209.8 + 3030.\nAnswer: 104992239.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-2)\/8)\/(14\/56). Solve 3*z + 1 + 2 = q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -7651218.\nAnswer: 1224194.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 24. Is 14 a factor of n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 47. What is the tens digit of l\/(-5) - 32112\/(-120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -15, -10?\n\"Answer: 5*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3\/(-9)*3). Which is greater: l or -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25056)\/(-261) - (154 + -3)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = q + 3, 0 = -4*p + q + 18 - 3. Let l be 35\/14 - 1\/(-2)*-3. Let a = 228 - 232. Sort p, a, -3, l in decreasing order.\nAnswer: p, l, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*o = -2, 0 = t - 5*o + 2*o + 1. Suppose -t*z = 5*z + 147. Let d = 241 - z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = -29*x + 387 + 242. Let z(w) be the second derivative of 17\/12*w**x + 0*w**2 + 0 - 10*w - 17\/6*w**3. Find the second derivative of z(t) wrt t.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 12 - 0. Suppose -5*f + 21 - 1 = 0. Which is bigger: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*j + 8669175, 0 = -5*j + 2*d - 4*d + 8669181. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/180 and -89\/964230.\nAnswer: 5785380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25137*g*n**2 + g*n - 4*n + 427 wrt n?\nAnswer: -50274*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 25*q - 138. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = o - 4*b, 5*o = b - 12 - 35. Let y(h) = 9*h - 3. Let a be y(2). Let c = a + o. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321 - -266. Let u = -385 + q. Round u to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-21))\/((-87)\/58).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11 + 8 - 6*z - 6. Let m be d(2). What is the units digit of (-1724)\/(-12) + m\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/16, -0.4, 0.1.\nAnswer: -0.4, 1\/16, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h\/h**(1\/3)*h)))**29*(h**(-2\/7)\/h)**1 assuming h is positive.\nAnswer: h**(1597\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/(-20) + 1\/4 - 4. Are 56 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 582, 589, 596, 603, 610?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 22*g - 34*g**2 + 38*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 3, i: 1, m: 3, h: 2, b: 2}. What is prob of picking 1 k, 2 m, and 1 h?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/14 and 27\/806708?\nAnswer: 806708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 410372877 and -8.\nAnswer: 410372869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8669 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:24 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34895 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 22665187\/12 - 1\/12*d**3 + 283\/4*d**2 - 80089\/4*d = 0. Calculate d.\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4106532.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 a factor of 294173752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716588, 716584, 716580, 716576, 716572?\nAnswer: 716568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 3*m. Let b = 31 + -26. What is the remainder when j(b) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -89. Let i be 1002\/(-21) + (24\/d)\/3. Let s be (-1138)\/(-12) - (-2)\/i*-4. Calculate the highest common factor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 4*i + 4. Let q be a(-1). Let v be (-3)\/(-74)*4\/q. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7 = -8. Let h = 27 - 23. Which is the closest to 0.2? (a) o (b) -3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51549.\nAnswer: 3, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1332.\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1211*b**3 - 434*b**3 + 100*b**3 + 105*b**3 - 81*b**3.\nAnswer: -1521*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 12 - -2) + (-3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.92 - 0.02639?\nAnswer: -1.94639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 1 - (13180000 + (-40)\/(-10)). What is h rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57450\/(-5250) + (-20)\/350.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*b**2 + 429 wrt b.\nAnswer: -132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-22)*(-581163)\/9606.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + 7 - (82 - 66).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/28 - 40\/(-7). Let i(n) = 6*n - v*n - 8*n. Let d(c) be the second derivative of -c**3\/6 - 3*c. Determine d(i(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose n*u = u. Suppose -2*w + 3*i + 3 + 2 = 0, 20 = 4*w + 4*i. Solve -w*b - 4 = -u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22230, 22438, 22642, 22842?\nAnswer: 23038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/23, -3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501364 is divided by 31828.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -426 - -517. Let w = -212 + 357. Let s = w - b. What is the highest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 18*l - 7. Let f(t) = -4*t**2 - 38*t - 16. Let j(b) = 4*f(b) - 9*o(b). What is j(-10)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = 8*j + 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 11 + 25 = 0. Suppose 5*k + 3*d - 4016 = 0, -k - m*d = -0*k - 796. List the prime factors of k.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 9)*2\/1. Let y = 2 - d. What is the smallest common multiple of y and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*(2 - 0). Let a be (-6 + 9)*(-10)\/h. Let w = 15 + a. Calculate the smallest common multiple of w and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024560557 to 6 dps.\nAnswer: 0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1482593658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -14 (c) -33 (d) -0.04 (e) -2 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1959 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -629338.\nAnswer: -9\/629338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40048 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 - 17)\/((-2)\/(-14)). Suppose a = 2*d - 2*f, -24 = -2*d - 2*d + 2*f. Solve -x = 2*t + 5, -4*t = -d*x - 0*t - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.4 (c) -6 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29281755 is divided by 7191.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-83 + -4 + 3)) + 1. Is h != 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 13*y - 2. Let r(h) = 4*h**3 - 16*h**2 - 95*h - 13. Let q(n) = 3*b(n) - r(n). What is q(19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 = 2*f, -4*g + 3*g - 3 = 4*f. Differentiate z**2 - 19 - 21*z**2 - 3 + g with respect to z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 45291094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from iauavpaai.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567296355 to the power of 1\/3, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11589050.\nAnswer: 2, 5, 11, 19, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 539988248\/80439163 + -5310\/791. Let c = -7220007\/9965914 + u. What is the common denominator of c and 81\/98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2541 - 2496. Calculate the smallest common multiple of b and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69003519652.4 + 329834194315.6. Let w = p - 398837713472.999999367. Let i = w + -495. What is i rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/373 (b) -20744 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 34 = -36*v. Let q be (-2850)\/(-4) - 4\/8. Suppose -10*k - 8 = -6*k, 0 = -4*l + v*k + q. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -1 + 19 + (-13 - 0) + -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 222.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 8*f**2 - 9*f - 15. Let w be a(-7). Let g(u) = -2*u**2 - 4*u - 2. Let l be g(w). Which is greater: l or 4\/31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*k**1*k)\/k))**(4\/17)\/(k**(-8\/5))**(-1\/5) assuming k is positive.\nAnswer: k**(-336\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3)\/v)\/v)**(3\/5)*(v\/(v*v**6\/v))\/(v*v\/v**(5\/4)*v))**(-14\/9) assuming v is positive.\nAnswer: v**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/t*t**7)**(1\/10) assuming t is positive.\nAnswer: t**(16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 377468 divided by -53924?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0943 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -k + 14, -4*k = -4*g - 36. Let w = -97 + 102. Suppose -k*v + w*v = 13. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 1\/3, 0.1, 13, -60?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118, -924, -3086, -7282, -14190, -24488, -38854?\n\"Answer: -113*d**3 - 15*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1859*s - 1957*s - 67730 = -1211*s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-4))\/(-3)*-73. Let m(f) = -6*f**2 - 2*f + 13. Let w be m(4). Let g = c - w. Which is smaller: 19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2715\/7 + 26709\/70. Let k be 3274*2\/180 - 1. Let q = -168\/5 + k. Calculate the common denominator of q and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32705 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -914, -1446, -1978?\n\"Answer: -532*n - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1811 or 1805?\nAnswer: 1805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-3)\/(-12))\/(135\/(-120)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-511)\/(-35)*(-480)\/(-128)*(-4)\/3\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4231, -20.\nAnswer: -20, 7, 4231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 + 18*l**4*o**2 - l + o**2 - 22 wrt l.\nAnswer: 20*l**3 + 216*l**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5092)\/8550*-50 - (10\/30)\/(3\/(-2))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 6*p + 9 = y, 4*p + y + 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 503 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1611*o**4 - 192*o**2 + 5*o.\nAnswer: -38664*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90066, 180301, 270524, 360729, 450910, 541061?\n\"Answer: -r**3 + 90242*r - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7903.518 + -4712.931. Let n = k - 3193. Let d = -0.343 - n. What is d rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -37. Let z = h - -31. Suppose 0 = -5*k - g + 98 + 92, k - z*g - 17 = 0. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 14. Is -131 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-3))\/(3\/18). Let h be 108\/(-27) - 6*-1. Suppose t = 2*a + 3*p, -3*p = -h*p. What is the least common multiple of 1 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0463, -10\/7, -0.5, -36, 2.\nAnswer: -36, -10\/7, -0.5, 0.0463, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 211776?\nAnswer: 212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 675076595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 - 1 - 3*v**4 + 0*v**2 + v**2 + 3*v**4 as m*v**4 + t*v**2 + z*v + d + n*v**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110010010001011110010101 - 11?\nAnswer: 11111110010010001011110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n - 81*n - 44 = 0. Let q = -14407\/13 + 1107. Let x = 150\/143 + q. Sort n, x, -1\/5, -1\/3 in ascending order.\nAnswer: n, -1\/3, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319 - 168. Let u = r - -143. Let g = u - 294.0163. Round g to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 8510*j**3 + 8545*j**3.\nAnswer: 35*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 - -164. What is the nearest to k in 0, 4\/9, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1843.8 - 1737.537. Let l = b + -0.263. Is l less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 5*r + 4. Let s be g(5). Let x = s + -6. What is the units digit of x\/(-5) - 13\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*((-28)\/(-8) + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 211 (c) -1.8 (d) 4\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -475800.\nAnswer: -190320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfdc when four letters picked without replacement from dccfvvvvvfvvfvvvdvf.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0244 from 47342.\nAnswer: 47342.0244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4*sqrt(17)*-3)**2 + -3 + sqrt(2448) - (5*(sqrt(68)*-2 - sqrt(68)))\/(-2*sqrt(16))).\nAnswer: 33*sqrt(17)\/4 + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -464171700 to the nearest one hundred thousand.\nAnswer: -464200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18074488 - 18074480 + 36148968 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + (6 - 2) - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 10*y - 2. Let g = 4 - y. Factor 0 - 2\/9*t + 2\/9*t**g.\nAnswer: 2*t*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-81))\/((2\/(-3))\/1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from iqiq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*a = a - 25, -4*a = 0. Sort -0.13, f, 0 in increasing order.\nAnswer: f, -0.13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*(((c*c**4\/c*c)\/c*c)\/c)\/c*c)*c\/c**(-2\/5)*(c\/(c*c\/c**(-3\/10)))\/c**(-1\/10) assuming c is positive.\nAnswer: c**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2837468 is divided by 945811?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13273, 13706, 14139, 14572?\nAnswer: 15005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + y. Let n(l) be the third derivative of -l**5\/60 - l**4\/8 + l**3\/6 - l**2. Let k be n(-3). What is the units digit of w(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012001245 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/442 or 0?\nAnswer: -5\/442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.02 - -0.02. Let o = 0.2 + 0.3. Which is the smallest value? (a) o (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -7492*b**2 - 3760976*b + 4016 = 0.\nAnswer: -502, 2\/1873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + f + 10*f to the form v + i*f and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253779, 507411, 761043, 1014675, 1268307, 1521939?\nAnswer: 1775571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -44\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -155.928 * 0.4\nAnswer: -62.3712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 13630 + 6828 = 4*z, 2*z - 10218 = 3*m. What is the greatest common factor of 108 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/((-20)\/80).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2644812370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704793?\nAnswer: 3, 234931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/(w*w**(1\/7)))\/(w**3\/((w\/((w**(3\/2)*w)\/w))\/w)) assuming w is positive.\nAnswer: w**(-223\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 628 - -627. Let p = x - 1254.5213. Round p to 2 dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(112) - sqrt(112)*1) + 0)**2 + (sqrt(112) - ((0 + sqrt(112))**2 + 5)) + 6*(-3 + sqrt(112)) + (2*(-3 + sqrt(112)))**2 + sqrt(112))*3.\nAnswer: -192*sqrt(7) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.18698 centimeters?\nAnswer: 61869.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -31, -45, -59, -73, -87?\n\"Answer: -14*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 9*m**2 - 11*m - 7. Let q be f(10). Let r = 23 + q. What is the lowest common multiple of r and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -25*z + 1486. Let p be x(30). Calculate the greatest common divisor of 414 and p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2723.52ug to tonnes.\nAnswer: 0.00000000272352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 232777300 to the nearest one million.\nAnswer: 233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -3\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -19806.39 and 0.6.\nAnswer: -19805.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0)\/(1\/2). Suppose -2*g = -7*g + g. Suppose g*h = 2*h - 16. Solve z*v = 3*v + 5*p + 32, v - p = h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(12\/16*-2). Let w be (-225)\/(-20) - (-2)\/s. Let y = 206 + w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*2 + -9. Let r be ((-6)\/(-3))\/(4\/z). Let v = -0.4 + -0.1. Which is the third smallest value? (a) r (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 20 = -11*u + 2*n, 5*u = -n - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 15. Let p be ((-4)\/5)\/(y\/(-90)). Suppose -p*h + 123000 = -h. What is h rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3068, -3135, -3202?\nAnswer: -3269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*sqrt(48))\/sqrt(12))\/sqrt(2) + ((-2*sqrt(20)\/sqrt(5))\/sqrt(2))**2.\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 23058*n.\nAnswer: -3*n*(n + 7686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 520?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -5 - -31 - (-3 + -19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/7 - 15114*x**4\/7 + 28546566*x**3\/7 + 28561682*x**2\/7.\nAnswer: 2*x**2*(x - 3779)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o = -18*o - 603 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 128206000 to the nearest one million.\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542421.\nAnswer: 1542421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -2*i + 1100. Let r = i - 34. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 45. Is (-1)\/((-5)\/(-198020)*f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 194 = 2*s - 0*s, 0 = 2*s - 4*z - 204. What is the greatest common divisor of s and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 127, 238, 339, 424, 487, 522, 523?\n\"Answer: -u**3 + u**2 + 115*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -3\/8 (b) 2 (c) 5 (d) -4\/7395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1908 divided by 2?\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -221*b**3 - 3*b**2 - 4*b - 1. What is o(-1)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240.17 + 238. Let r = b + 2.1789. Let h = r - 0.006. What is h rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i**3 + 0*i)*(482*i + 709*i - 1719*i - 2*i**2).\nAnswer: -4*i**5 - 1056*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*k + 3461 = 5397 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-260*u + 21*u + 104*u)*(-1 + 2 + 0) + 4 + 11*u - 5*u - 2 + 26*u - 15*u + 28*u to the form b*u + p and give b.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5356770*-22\nAnswer: 117848940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55183073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.54 + -1.21. Let p = y - 0.63. Let x = p + 3.3. What is the third smallest value in x, -0.3, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -0.285369 in decreasing order.\nAnswer: 3, 0, -0.285369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(26)\/sqrt(2) + sqrt(13) + sqrt(52) + -4 - (-1 + sqrt(1872) - sqrt(1872))*-6)**2.\nAnswer: -20*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -4\/5, 50, -4, 3 in increasing order.\nAnswer: -4, -4\/5, 4\/3, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:13 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 28 - 2. Suppose 0 = -5*l + 9*l. Let j(k) = k**3 + 3*k**2 - k + 1. Let h be j(-3). Solve 0 = 3*u + w, 2*z = -l*z + 4*u + h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -224, -263, -338, -461, -644, -899, -1238?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 7*s + 0*s)*(4*s - 7*s + 6*s)*(-4 + 2 + 3).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and -0.2218.\nAnswer: -0.046578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*(3\/(-48) + (5688\/896 - 6))*-42\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279607?\nAnswer: 279607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211116 is divided by 736293?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 2*g)*(-3*g**4 + g**4 + 9*g**4 + (4*g - 2*g**3 - 4*g)*(-g + 4*g - 4*g)).\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/12 + p**3\/2 - 5*p**2\/2 - 29*p. Let b(l) = -1. Let s(w) = w + 2. Let r(k) = -3*b(k) - s(k). Calculate 3*r(a) + z(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63, -126, -189, -252?\n\"Answer: -63*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 0*q + 279. Let m = 45 + q. Let r = 5 + -1. What is the smallest common multiple of m and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 - 102 + 302 + 56*p - 97 to z*p + x and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**9\/1260 + q**8\/168 + q**7\/630 - q**6\/30 + q**4\/3 - 3*q**2. Let f(n) be the second derivative of m(n). Factor f(g).\nAnswer: 4*g*(g + 1)*(g + 3)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 1180 = 3*j. Let y be j\/12 - (-2)\/8. Let l = -16 - y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38ce21c + -1?\nAnswer: -38ce21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -464897\/48 - -9688. Calculate the common denominator of 97\/1674 and o.\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 3*s + 3. Let z(o) = 3*o**2 + 5*o - 5. Suppose 3*f = -3 - 12. Let b(v) = f*j(v) - 3*z(v). Let a(t) = -3*t. Determine a(b(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1613895 and 55\/132909.\nAnswer: 11297265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 2, m: 4, q: 2}. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:36 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -67*4488\/(-26532).\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (168 - (78 - 6)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, s: 4}. What is prob of sequence szss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15492 + -15491.74932. Let v = -0.05 - -0.3. Let p = o - v. What is p rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -5)*126\/(-24). Let j = 41 + f. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(((-156)\/54)\/(-13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 8*g = -28*g + 230 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 1:18 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 184451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7523010 and 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = w - 12, -5*w - 4676 = 10*u - 4736 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 948*t = -22540 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.419164 rounded to three dps?\nAnswer: -1.419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*sqrt(22)\/(sqrt(11) - (sqrt(275) + sqrt(275)*1 + sqrt(275)))*-2)**2 + 5.\nAnswer: 389\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - 3*z**2 + 3*z**2)*(-z - 5*z + 4*z) + 17*z**5 + 40*z**5 + 12*z**5 - z**5 + 21 - 32*z**3 - 32*z**3 + 62*z**3.\nAnswer: 66*z**5 - 2*z**3 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - j - 63. What is n(-6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*p = 20, -5*c + 3*p + 58 = 18. Find the first derivative of -4 - 4*h**4 + c*h**3 - 5*h**3 + 0*h**3 wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*t + 277*t - 2 - 137*t to the form y*t + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439*q = -287*q - 6273496. What is the highest common factor of q and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*n**2*r**2 + 4933*n**2 - n*r**2 + 14*r**2 with respect to r.\nAnswer: -42*n**2*r - 2*n*r + 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 844580 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45491750?\nAnswer: 2, 5, 181967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -122100100 (base 3) in base 4?\nAnswer: -3011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - 0.0179104\nAnswer: -0.7179104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 75*d**2 - 58*d - 1189. Let c be t(74). Put -2, -395, c, 1 in descending order.\nAnswer: 1, -2, c, -395","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 16) in base 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 213855?\nAnswer: 213855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14476766987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -289051 + -4?\nAnswer: -289055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g)**(-3\/10)\/(g**(2\/17)*g**(-2\/5)\/g*g) assuming g is positive.\nAnswer: g**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 3*x**6\/5 - 9*x**5\/20 - x**3\/3 + 51*x**2 - 20*x + 22. What is the second derivative of c(h) wrt h?\nAnswer: 216*h**2 - 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3939.1 + 3939. What is the fourth biggest value in o, 84, 0, 2\/5, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130285281 - 96422?\nAnswer: -130381703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 - 6*y - 5. Let o be f(-4). Let h = 11 + -7. Let w be h\/1 + 0\/(-14). Solve -o*i - 18 = 3*a, w = -a - 2*i - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x + 4. Suppose 3*q = -4*c + 15 + 1, -c + 21 = 5*q. Let b be d(q). Calculate the highest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - 63\/49. What is the tens digit of (-2 - y)*13\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + -118. Suppose -5*u - 39 = -2*j, -j - 31 + h = 5*u. Let z(c) = c**2 - 3*c + 19. Calculate the remainder when z(j) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-25))\/((-2184)\/(-6240)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 2*x + 1. Let z be g(2). Let q = 73 + z. Let j = -15 + 21. What is the highest common divisor of j and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.251 - -5.011. Let y = -1.77 + l. Let i = 3 - y. What is i rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23293404\/19 + 292798152253\/238830. Let q = f - 1\/838. Factor 0 + q*h**2 + 2\/15*h + 2\/15*h**3.\nAnswer: 2*h*(h + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/7 (c) -16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3102, 6209, 9316, 12423?\nAnswer: 15530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.1163 centimeters in meters?\nAnswer: 0.461163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*j - 936041 = -907661 for j.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 571, 857, 1143, 1429, 1715, 2001?\n\"Answer: 286*x + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 + 12384*v\/13 + 12382\/13.\nAnswer: 2*(v + 1)*(v + 6191)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 27421.1 (b) 0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 39. Let i be (21 - 20)\/(y\/(-8)). Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + c**2 + 3*c**2)*(16*c + 0*c**2 - 2*c**2 - 44*c).\nAnswer: -2*c**4 - 28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17124929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 304.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 10. Suppose 0 = -0*h + 2*h + 16. Let a be f(h). Solve 0 = -4*v + w - 7, -1 = -4*v - w - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 8. Let i(c) = -c + 7. Let b(u) = -5*i(u) + 4*z(u). Suppose 0 = h + 2*q + 133, 0 = q - 4 + 6. Let p = h - -129. Determine b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2477108621 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + 1. Let v be x(2). Let b be 1*(4 + v + 0). Suppose b*t + 14 = 159. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4983 is divided by 61.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 7*q + 7. Let f be d(5). Let i = 85\/28 - 11\/4. What is the closest to i in 2, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 4*k + 7. Let d(l) = -6*l**2 - 8*l - 13. Let m(w) = 4*d(w) + 7*p(w). Let b be m(-2). Let t(a) = -6*a + 13. Is t(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhzhhzdaahzzahh. What is prob of sequence hdz?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 558\/78 - (400\/(-104) - -4). Solve -4*d + 12 = -4*n, -v*d + 4*d - 4*n = 26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 10) in base 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 15, 35, 63?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i - c - 18, 5*i - 136*c + 134*c = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10*u - 41166 = 0, h + 14*u = 12*u + 13738. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 7. What is the remainder when (170\/5 - 15) + 101 is divided by x(5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*c - 119*c + 476*c - 4*c**2 + 134 - 119*c - 118*c to s + b*c**2 + k*c and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140102230 - 2?\nAnswer: 140102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvi when three letters picked without replacement from {q: 2, v: 5, i: 2, p: 4}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3430 - 66*j**2 - 3430)*(0*j**2 - 2*j**2 + 3*j**2) + 10*j - 24*j - 12*j**4 + 13*j to g*j**3 + q*j**2 + o*j + l + y*j**4 and give y.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1311374 times 0.4\nAnswer: 0.05245496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -17 + -13 + 1 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (2 + (-18)\/3). Suppose -k = -m*k + 14. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**6\/72 - 3*r**5\/8 + 25*r**4\/12 - 35*r**3\/3 + 31. Let b(y) be the third derivative of v(y). Factor b(g).\nAnswer: -5*(g - 1)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 25. Let m be v(8). Solve -b - 3*s - 7 - m = 0, 5*b + 4 = -3*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 times -7\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 10:58 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose 0 = -i*v - 0*v + 18. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 141 + 145 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 35 + 55. Calculate the remainder when 51 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (7 - (4 - -4)) + 7 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5\/10 + 5*x**4\/3 - 5*x**3\/6 - x**2\/2 - x + 57. Let n be y(-10). Solve 4*q - 2*z + 19 - n = 0, 4*q = -3*z + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 299*h**2 - 587*h - 322. Let v(j) = -100*j**2 - 196*j - 106. Let d(u) = -7*v(u) + 2*y(u). Factor d(o).\nAnswer: 2*(o + 1)**2*(o + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/5 + 8\/20. Let h(x) = x**3 - 3*x**2 + 3*x - 1. What is the units digit of h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - o**3 - 8*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is 714 minutes before 8:16 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00606926994 rounded to six decimal places?\nAnswer: 0.006069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6188, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/11 - 28\/154. Suppose -2*w + g = -63, z*w = -3*g - 0*g + 75. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 18 = 134 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 + 1005*f + 1990 = 0 for f.\nAnswer: -199, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + sqrt(300)*-4)**2 + -2.\nAnswer: 400*sqrt(3) + 4827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5, -2\/5, -197 in increasing order.\nAnswer: -197, -2\/5, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/190228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2978 divide 68820928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 2, j: 1, e: 2, i: 2, p: 4}. What is prob of picking 2 p and 1 m?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 51 + 24)*(m**3 - 7 + 7) in the form n*m**3 + i + h*m + s*m**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -356, -535, -714, -893?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14025153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(-2*sqrt(8)*2 - sqrt(8)) + 1 + 1 + 1 + sqrt(17))**2.\nAnswer: 24*sqrt(17)\/5 + 497\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -12\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -1575*y**4 - 84030*y**3 + 231452*y**2 - 116776*y - 54208 = 0.\nAnswer: -56, -2\/7, 22\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 460\/345 - 16\/(-6). Sort 1, -93, m.\nAnswer: -93, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 57. Let v = -21 + j. What is the tens digit of 1029\/28 - 3\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64191259, 128382521, 192573783, 256765045, 320956307, 385147569?\n\"Answer: 64191262*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -7*d**6\/900 - 19*d**5\/300 + d**4\/10 + d**3\/3 + d. Let u(m) be the second derivative of h(m). Solve u(r) = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2 + 1 + q - 17*q**4 - 3*q - 5*q - q. Let x(r) = -6*r**4 - 3*r**2 - 3*r. Let a(j) = 3*p(j) - 8*x(j). What is the derivative of a(f) wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmllrkmrlrrmlrl. Give prob of sequence rl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, l: 2}. What is prob of sequence luu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 5*r + 2*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100110101011001100011?\nAnswer: 100110101011001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -46595 + 46595 + 7*g. Let q(a) = 14 - 8 - 6 - 8*a**2. What is q(u(i))?\nAnswer: -392*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(-33)))\/(i\/(i**(-19)\/i)) assuming i is positive.\nAnswer: i**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m. Let p be (4\/(-6))\/((-2)\/12). Suppose 0 = -m*d - 4*d - n + 5, -d + p = 3*n. Solve -4 = -3*j - d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 + 224*y\/11 + 1272\/11.\nAnswer: 2*(y + 6)*(y + 106)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26789.\nAnswer: 7, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-39556)\/1705*15\/(-12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 27. Let d be s(18). Let h = -6 - -10. Solve b - d = h*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1263123034?\nAnswer: 1263123035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 22. Suppose -3*g - 2*g = s*n - 270, -n = -5. Suppose b - g = -2*j, 0*b - 3*b - 5*j + 152 = 0. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((374\/85)\/11)\/((-32)\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 7*c + 927261*c**3 - 383*c**5 - 927249*c**3 - 9*c + (2 - c**2 - 2)*(1 - 1 + 3*c**3).\nAnswer: -386*c**5 + 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 210\/27 + 4\/18. Suppose -34*p = -32*p - 14. Suppose -p*x + 6 = -4*x. Solve m = -x*a - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1782 and 1683.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75851509 is divided by 2794.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:06 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229\/6 - -38. Let j = -25 - -24.93. Put -2, m, j in descending order.\nAnswer: j, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192051 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71333709 a multiple of 2453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/12 - 17*p**3\/6 - 67*p**2\/2 + 21*p - 3. What are the prime factors of i(-8)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 34013*f - 136051\/4.\nAnswer: -(f - 136051)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*p**2 + 34 - 34)*(-p**2 - p**2 + 4*p**2)*(0 + 3 - 2) in the form j*p**4 + v*p**3 + g*p**2 + b + k*p and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -11*l**3 - l**2 + 2. Let q(f) = -6*f**3 - f**2 + 1. Let a = 6284 + -6279. Determine a*q(h) - 3*g(h).\nAnswer: 3*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**20*(r**1)**(14\/11)*((((r\/(r**3*r))\/r)\/r)**44)**4 assuming r is positive.\nAnswer: r**(-10106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495195670.\nAnswer: 2, 5, 19, 97, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*x - 22554 = -8321, -x + 4 = 0. Let u = c + 17668. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67500199*y**3 + 4*y**2 - 480646703 wrt y?\nAnswer: -202500597*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/15 - (-1)\/3. Suppose h*a + 3 = -0. Let r(w) = -3*w**3 - w**2 - 2*w - 1. Determine r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*s + 1686, -5*b + s + 3372 = -b. Suppose 117 = 4*i - b. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(8\/(-17762180))*(-82)\/(-205) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -226 in increasing order.\nAnswer: -226, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 3, q: 5}. Give prob of sequence qr.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in -0.5, 2\/69, -641?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**8\/10080 - h**7\/2520 + h**5\/360 + h**4\/6 + 2*h. Let s(l) be the third derivative of c(l). Let s(n) = 0. Calculate n.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*(-170)\/(-2890)*(2 - -1).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 845131 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 - 32. Let a(j) = -29*j**2 + f*j**2 - 27*j**2 - 21*j**2 - 1. Let k be (0 - 1)*(9 + -8). Calculate a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 2*v + 46 = 0, -11043 + 11025 = -5*a + 3*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*z + 2*t - t, -4*z - t + 35 = 0. Let u(s) = 6*s + 4. Is 20 a factor of u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6*n - 22 = -5*u, 3*n - 4*u - 9 = 0. Let d(v) = 7*v**2 + 8*v + 11. Let t(g) = 8*g**2 + 9*g + 13. Let r(l) = n*d(l) - 6*t(l). Determine r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/6 - 11*w**4\/12 + 2*w**3\/3 - 3*w**2\/2 + 4*w. Let o(v) be the first derivative of j(v). Solve o(g) = 0 for g.\nAnswer: 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261432085 or 261432086?\nAnswer: 261432085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(30)\/((sqrt(42) + (sqrt(168) - sqrt(42)) - sqrt(42))\/sqrt(7))*-5*4.\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 4. Suppose 2*z + 5 = 5*u, 5*z + 5*u - 2 - 3 = 0. Let n be a(z). Solve n*x = 16 - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951 != 1952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.9953 - -0.0047. Let a = -2 + 2. Sort a, t, 0.5 in descending order.\nAnswer: t, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020 = -9*h - 5*h + 1118 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (567\/(-630))\/(24\/50).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20492746 is divided by 939?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -13*y**8\/112 + y**6\/60 + 53*y**5\/5 - 2*y**2 - 154. What is the third derivative of f(z) wrt z?\nAnswer: -2340*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536109 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5\/(h*h**(3\/4)*h))\/(h**6\/(h*h**(1\/9)*h)))\/(h*h**(-9\/2)*h\/h**(1\/3))**(1\/31) assuming h is positive.\nAnswer: h**(-1727\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 4699?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187*(-384)\/57664*-53?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55629898?\nAnswer: 2, 1597, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13315279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**5 + 153*a**4 - 645*a - 2?\nAnswer: -80*a**3 + 1836*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 209 + 169 - z**3 + 6*z**3 - 503 to the form s + f*z**3 + o*z + l*z**2 and give s.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 - 180 = -14*m - 10*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let v(d) = 2*d + 14. Let g(z) = -2*t(z) - v(z). Let s be g(-8). Let c = s + -7. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.387+2451.5\nAnswer: 2451.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 - 31*z + 20. Let g be p(-8). Suppose -5360 = -4*i - g*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 4*v**2 - 3*v - 2. Let g(n) = 3*n - 35. Let z be g(11). Determine b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + -8 - (-2 - 10\/(-2)). Sort 3, o, 2\/13, -2\/17, 5 in descending order.\nAnswer: 5, 3, o, 2\/13, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -612 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -495, -461, -425, -387, -347?\n\"Answer: t**2 + 31*t - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 680580?\nAnswer: -680577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 3. Let g(h) = h. Let d(f) = 2*g(f) - x(f). Let c(k) = 2*k**2 - 20*k + 3. What is the remainder when c(11) is divided by d(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 6*r + 14. Let f(b) = -2*b**2 + 1384. Calculate g(f(a)).\nAnswer: 12*a**4 - 16596*a**2 + 5738078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -171136 * 1177.\nAnswer: -201427072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22\/35 - -10\/7. Which is the biggest value? (a) n (b) -3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**2 + 446*o + 12. Give q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69158 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(-1)\/2*26625\/3550.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28851592145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 6, i: 2, n: 3, f: 2, c: 1}. Give prob of sequence fon.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.237 + -0.063. What is the second biggest value in x, -2, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6292))\/sqrt(4).\nAnswer: 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14351 and 3051.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, -0.48, 0.1, 0.3?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -0.72. Let u = -25.82 + 26. Let j = u - i. What is the closest to -0.2 in -5, j, -4\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16c97b (base 13) in base 5?\nAnswer: 121230041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1207*v - 153. Let q be i(-1). What is the greatest common divisor of q and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.0883 - -3.0883. Which is the third smallest value? (a) 9\/5 (b) 5 (c) -19 (d) 1 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 6:22 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 104, 177, 268, 383, 528, 709, 932?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 13. Calculate the least common multiple of 4 and q(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-1 + 8)) + 23 + -9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 1\/28*s**4 - 1\/21*s**3 + 0*s**2 - 1\/42*s**6 + 7 + 1\/35*s**5 + 0*s. Factor a(f).\nAnswer: -f**2*(f - 1)**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1284180 and 29138?\nAnswer: 1100542260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(84\/40 - (-2)\/(-20)). Let a(t) = -t**3 + t**2. Let y(b) = 14*b**2 - 13*b - 33. Let w(z) = r*y(z) - 6*a(z). Determine f so that w(f) = 0.\nAnswer: -1, 3, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4*a**3 - 26 + 9 + 28*a - a**4 + 8 in the form n*a + z*a**4 + f + p*a**3 + t*a**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 c, and 1 m when four letters picked without replacement from ecccccctmcecmcmcccc?\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 393.231 and 8.\nAnswer: 401.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257 - 554. Find the common denominator of -7\/10 and (-1)\/18*x\/(-18).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8766741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -292*h**3*n**2 - 2*h**3*n + 82*h**2*n**2 - 2*h**2*n - 155*h**2 + h*n + 134*n + 2 wrt n.\nAnswer: -584*h**3 + 164*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-169 + 47 + 0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 4*b - 4*i + 110, -5*i = 10. Let d = b - -48. Suppose d = -11*v - 16 - 6. Put 5, v, -5, -1 in descending order.\nAnswer: 5, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-3))\/((-4)\/(-6)). Suppose y + j = -y, -3*y - 9 = -c. Suppose -c*g + 3*l + l = -109, 4*g = 2*l + 152. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 41. Calculate the remainder when 61 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380889 is divided by 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 18. Suppose -j*b + 18 = -b. Suppose 0 = 10*q - b*q - 315. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1627519 and -3.2.\nAnswer: 1627515.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + h - 5. Let d be c(3). Suppose 9*w = 13*w - d. Let z(i) = 4 - i**2 - 9 - i + 2*i + 2*i**2. Determine z(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*5)*-2))*1.\nAnswer: -63*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*x - 127, -216*x + 215*x + 119 = -5*w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**8\/168 + 3*s**5\/20 - 35*s**4\/12 + s**3\/3 - 38*s**2 + s. Find the second derivative of o(b) wrt b.\nAnswer: -40*b**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f**(-2))**(-4)\/(f**(-1\/2)\/f**(-7)*f**(4\/7)*f\/((f**(-2\/25)\/f)\/f)) assuming f is positive.\nAnswer: f**(-6353\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12721 (base 14) to base 5\nAnswer: 2422210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64854 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11140 + -11143. What is the second biggest value in 0.5, 10, 2\/19, b, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 677623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i + 17. What is d(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -472 divided by 15\nAnswer: -472\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + z**2 - 2*z**2)*(-3 + 0 + 0 + (-3 + 2 + 3)*(0 - 2 + 3) + 3 - 3 - 2)*(-2*z - 2*z - z)*(-z - 1 + 1).\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7810\/1065)\/(11\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8395*u - u**2 - 8469*u + 25277*u - 8413*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + ((-378)\/16)\/3 and 47\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.754 + 16.854. What is the nearest to -1\/2 in -5, 198, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 + -3. Suppose 2*t + 4*m + 6 + 8 = 0, 40 = 5*t - 5*m. Which is the second biggest value? (a) k (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 15*g**3 + 7*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7972*q**3 + 3936*q**3 + 3975*q**3.\nAnswer: -61*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**2\/2 - 11007*y\/2 = 0.\nAnswer: -3669, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104838*a**2*i**3 + 582*a**2*i + 71*a*i**2 wrt i.\nAnswer: 629028*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-4) - -1 - (2\/18)\/((-16)\/84).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -12, -19, -28, -39, -52?\n\"Answer: -m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91963762 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -2*d. Let s = -104 + 109. Suppose -s*r + 25 = -5*c, -2*c + 3*r = 16 - 2. Put c, 3, -5, d in decreasing order.\nAnswer: 3, d, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10038757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {u: 1, n: 3, y: 1, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10276 is divided by 348.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:06 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)\/b**(-34)*(b**(1\/18)*b*b*b)**(-4\/3) assuming b is positive.\nAnswer: b**(241\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132328224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-71 + 30) - (-1 - -1 - -16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2*1475962.\nAnswer: 6199040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -275, -602, -1055, -1628, -2315, -3110?\nAnswer: -4007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 6 = 4*q + 2*h, 4*q + 3*h = 1. Let r = q + -3. Let u = r - 1. Solve -4*s + u*s + 31 = -3*j, 2*j = -4*s + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**4 + 3485*w**3 + 10140*w**2 - 187380*w = 0.\nAnswer: -694, -9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21405, -21382, -21359, -21336?\n\"Answer: 23*j - 21428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 107. What is the remainder when (12\/(-16))\/(1 - 17\/t) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54916963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47777610 rounded to the nearest one hundred thousand?\nAnswer: 47800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -403.961487 - -0.091487. What is d rounded to the nearest integer?\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 51*g + 2*j + 106, 6*g - 10*g = 5*j - 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11922, -23848, -35776, -47706, -59638?\nAnswer: -71572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6827?\nAnswer: 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 3*p - 41, 153 = 3*l + p. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q + 264*q - 941 - 1389 = 0. Solve -4*w - q = -2*w, 5*a + w + 10 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 63*a**2 - 36*a. Let v(f) = -95*f**2 + 54*f. Let i(h) = -8*u(h) - 5*v(h). Find the second derivative of i(s) wrt s.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -48. Calculate the lowest common multiple of d and ((-2430)\/(-72))\/(-15) + (-2)\/(-21) + 386198\/5208.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13075515553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547*g**3 + 276*g**3 + 272*g**3 + 28.\nAnswer: g**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = -3*h + 2*h. Let t = h - -6287\/19. Sort -1\/4, t, -0.17 in descending order.\nAnswer: t, -0.17, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from ujujjjjurguu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**6\/120 - b**5\/15 + b**4\/6 + 6*b**2. Factor h(t).\nAnswer: t*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*o. Suppose o*q = -q - 15. Let w be q\/2*(-3 + 1). Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14170190, -28340379, -42510570, -56680763?\nAnswer: -70850958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - k + 1. Let h be x(2). Suppose 0 = 9*f - h - 2. What is the tens digit of f*-3 - -6*63\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04929 - -0.0478413. What is d rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.7*0.452\nAnswer: -2.5764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 61 + 239 + 270 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 7*q + 22, -32*i + 28*i - 4*q - 24 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5)*(-19030)\/1038.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/2100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -11*h**3\/3 - 2*h + 18. Let w(c) = 144*c**2 + 27. Let k be 18*(-3)\/(-18)*9. Determine k*n(z) + 2*w(z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j + 22*j - 38*j - 504 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29497 - 70*c - 29498 - 59*c)*(c + c - 3*c).\nAnswer: 129*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -306 divided by -5088\nAnswer: 51\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 8*p - 10. Suppose -524 = -23*o - 179. What is the remainder when 1137 is divided by g(o)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**8\/336 - b**5\/30 + b**4 - 7*b. Let g(c) be the third derivative of q(c). Differentiate g(o) wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 57\/6362, -9, 4?\nAnswer: 57\/6362","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 391 + -199. Let r be l\/10 - (-1)\/(-5). Suppose 5*x + 3*m + 1 = 13, 4*x + 4*m - 8 = 0. Solve j + 22 = 5*c + x*j, 5*c = j + r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1742 divided by -10715?\nAnswer: 1742\/10715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114725?\nAnswer: 5, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b**5 + 4*b**4 - 173*b**2 wrt b.\nAnswer: -720*b**2 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7834182163 and -9.\nAnswer: -7834182172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(125) + -1.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/9*7 - 7232\/(-8). Calculate the greatest common divisor of k and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506515 and 1235755?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26067 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18)*(-243)\/(-18) - -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 i when three letters picked without replacement from ziiiioobttzz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27907 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*i + 7 + 37, -3*i = -4*y + 31. Is i + (-23556)\/(-9) - 2\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 22*c**4 + 0*c**4 - 19*c**4 + 40*c**4 + 69*c**4 + (3 + c**3 - 3)*(-2 + 2 + 2*c) + c**4 + c**4 - c**4)*(3*c - c - 4*c).\nAnswer: -150*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*q + 0 - 3 = -3. Factor 1\/4*w**4 + 0 + q*w + 1\/4*w**2 + 1\/2*w**3.\nAnswer: w**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}